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Methodology, Parameters, and Calculations

Keywords

health economics methodology, clinical trial cost analysis, medical research ROI, cost-benefit analysis healthcare, sensitivity analysis, Monte Carlo simulation, DALY calculation, pragmatic clinical trials

Overview

This appendix documents all 699 parameters used in the analysis, organized by type:

  • External sources (peer-reviewed): 204
  • Calculated values: 358
  • Core definitions: 137

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Calculated Values (358 parameters) • External Data Sources (204 parameters) • Core Definitions (137 parameters)

Calculated Values

Parameters derived from mathematical formulas and economic models.

Apocalypse Markup: $2.72 trillion

The Apocalypse Markup: total military spending beyond the Price of Apocalypse. The amount governments spend above what is needed to trigger nuclear winter and end civilization once.

Inputs:

\[ \begin{gathered} M_{apocalypse} \\ = Spending_{mil} - P_{apocalypse} \\ = \$2.72T - \$752M \\ = \$2.72T \end{gathered} \] where: \[ \begin{gathered} P_{apocalypse} \\ = \frac{S_{nuke}}{Overkill_{winter}} \\ = \frac{\$92B}{122} \\ = \$752M \end{gathered} \] where: \[ \begin{gathered} Overkill_{winter} \\ = \frac{W_{global}}{W_{winter}} \\ = \frac{12{,}200}{100} \\ = 122 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Apocalypse Markup

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Price of Apocalypse (Minimum Viable Apocalypse) (USD) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Apocalypse Markup (10,000 simulations)

Monte Carlo Distribution: Apocalypse Markup (10,000 simulations)

Simulation Results Summary: Apocalypse Markup

Statistic Value
Baseline (deterministic) $2.72 trillion
Mean (expected value) $2.72 trillion
Median (50th percentile) $2.72 trillion
Standard Deviation $544 million
90% Range (5th-95th percentile) [$2.72 trillion, $2.72 trillion]

The histogram shows the distribution of Apocalypse Markup across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Apocalypse Markup

Probability of Exceeding Threshold: Apocalypse Markup

This exceedance probability chart shows the likelihood that Apocalypse Markup will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Apocalypse Markup Multiplier: 3.6kx

How many times total military spending exceeds the Price of Apocalypse. The markup multiplier on the cost of ending civilization.

Inputs:

\[ \begin{gathered} M_{apocalypse,x} \\ = \frac{Spending_{mil}}{P_{apocalypse}} \\ = \frac{\$2.72T}{\$752M} \\ = 3{,}620 \end{gathered} \] where: \[ \begin{gathered} P_{apocalypse} \\ = \frac{S_{nuke}}{Overkill_{winter}} \\ = \frac{\$92B}{122} \\ = \$752M \end{gathered} \] where: \[ \begin{gathered} Overkill_{winter} \\ = \frac{W_{global}}{W_{winter}} \\ = \frac{12{,}200}{100} \\ = 122 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Apocalypse Markup Multiplier

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Price of Apocalypse (Minimum Viable Apocalypse) (USD) -0.9008 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Apocalypse Markup Multiplier (10,000 simulations)

Monte Carlo Distribution: Apocalypse Markup Multiplier (10,000 simulations)

Simulation Results Summary: Apocalypse Markup Multiplier

Statistic Value
Baseline (deterministic) 3.6kx
Mean (expected value) 2.6kx
Median (50th percentile) 2.1kx
Standard Deviation 1.4kx
90% Range (5th-95th percentile) [1.3kx, 5.9kx]

The histogram shows the distribution of Apocalypse Markup Multiplier across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Apocalypse Markup Multiplier

Probability of Exceeding Threshold: Apocalypse Markup Multiplier

This exceedance probability chart shows the likelihood that Apocalypse Markup Multiplier will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Best-Practice Life Expectancy Gain: 10.7 years

Gap between current global life expectancy and the best life expectancy achieved by a major country today. Used as a non-arbitrary governance/public-health uplift benchmark rather than capping Wishonia at today’s global average.

Inputs:

\[ \begin{gathered} \Delta LE_{best} \\ = \max\left(LE_{CH}, LE_{SG}\right) - LE_{global} \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Best-Practice Life Expectancy Gain

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Life Expectancy (2024) (years) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Best-Practice Life Expectancy Gain (10,000 simulations)

Monte Carlo Distribution: Best-Practice Life Expectancy Gain (10,000 simulations)

Simulation Results Summary: Best-Practice Life Expectancy Gain

Statistic Value
Baseline (deterministic) 10.7
Mean (expected value) 10.7
Median (50th percentile) 10.7
Standard Deviation 1.91
90% Range (5th-95th percentile) [7.46, 14]

The histogram shows the distribution of Best-Practice Life Expectancy Gain across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Best-Practice Life Expectancy Gain

Probability of Exceeding Threshold: Best-Practice Life Expectancy Gain

This exceedance probability chart shows the likelihood that Best-Practice Life Expectancy Gain will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Bullets Purchasable Per Person Per Year: 850 rounds/person/year

Number of bullets per person on Earth that could be purchased annually with the global military budget. A purchasing power metric illustrating the scale of military spending.

Inputs:

\[ \begin{gathered} n_{bullets/person} \\ = \frac{N_{bullets,yr}}{Pop_{global}} \\ = \frac{6.8T}{8B} \\ = 850 \end{gathered} \] where: \[ \begin{gathered} N_{bullets,yr} \\ = \frac{Spending_{mil}}{c_{bullet}} \\ = \frac{\$2.72T}{\$0.4} \\ = 6.8T \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Bullets Purchasable Per Person Per Year

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Bullets Purchasable with Global Military Budget (rounds) 0.9987 Strong driver
Global Population in 2024 (of people) -0.0477 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Bullets Purchasable Per Person Per Year (10,000 simulations)

Monte Carlo Distribution: Bullets Purchasable Per Person Per Year (10,000 simulations)

Simulation Results Summary: Bullets Purchasable Per Person Per Year

Statistic Value
Baseline (deterministic) 850
Mean (expected value) 849
Median (50th percentile) 799
Standard Deviation 217
90% Range (5th-95th percentile) [584, 1,271]

The histogram shows the distribution of Bullets Purchasable Per Person Per Year across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Bullets Purchasable Per Person Per Year

Probability of Exceeding Threshold: Bullets Purchasable Per Person Per Year

This exceedance probability chart shows the likelihood that Bullets Purchasable Per Person Per Year will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Engagement Rate: 10%

Probability someone engages with the idea (1 - dismissal rate)

Inputs:

\[ P_{engage} = 1 - P_{dismiss} = 1 - 90\% = 10\% \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Engagement Rate

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Dismissal Rate (rate) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Engagement Rate (10,000 simulations)

Monte Carlo Distribution: Engagement Rate (10,000 simulations)

Simulation Results Summary: Engagement Rate

Statistic Value
Baseline (deterministic) 10%
Mean (expected value) 9.93%
Median (50th percentile) 9.39%
Standard Deviation 4.16%
90% Range (5th-95th percentile) [3.92%, 18.2%]

The histogram shows the distribution of Engagement Rate across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Engagement Rate

Probability of Exceeding Threshold: Engagement Rate

This exceedance probability chart shows the likelihood that Engagement Rate will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Expected Engaged Implementers: 3.48 people

Expected number of implementers who engage (orbit reached x engagement rate x implementer count)

Inputs:

\[ E[N_{engaged}] = P_{reach} \times P_{engage} \times N_{impl} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Expected Engaged Implementers

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Initial Audience (people) 0.5996 Strong driver
Implementer Orbit Size (people) 0.3824 Moderate driver
Engagement Rate (rate) 0.1646 Weak driver
Effective R (ratio) 0.0973 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Expected Engaged Implementers (10,000 simulations)

Monte Carlo Distribution: Expected Engaged Implementers (10,000 simulations)

Simulation Results Summary: Expected Engaged Implementers

Statistic Value
Baseline (deterministic) 3.48
Mean (expected value) 3.02
Median (50th percentile) 0.896
Standard Deviation 7.59
90% Range (5th-95th percentile) [0.12, 12.3]

The histogram shows the distribution of Expected Engaged Implementers across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Expected Engaged Implementers

Probability of Exceeding Threshold: Expected Engaged Implementers

This exceedance probability chart shows the likelihood that Expected Engaged Implementers will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Potential Implementers: 2,976 people

Total potential implementers (billionaires + world leaders)

Inputs:

\[ \begin{gathered} N_{impl} \\ = N_{billionaire} + N_{leader} \\ = 2{,}780 + 195 \\ = 2{,}980 \end{gathered} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Potential Implementers is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 2.976e-09)

Statistic Value
Baseline (deterministic) 2,976
Mean (expected value) 2,976
Median (50th percentile) 2,976
Standard Deviation 0
90% Range (5th-95th percentile) [2,976, 2,976]

Exceedance Probability

Exceedance note: Potential Implementers collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 2.976e-09)

Approximate deterministic value: 2,976 people

P(At Least One Engages): 96.9%

Probability at least one implementer engages (information diffusion only; dominant strategy proof handles action)

Inputs:

\[ P_{reach} = 1 - P_{none} = 1 - 3.08\% = 96.9\% \] where: \[ \begin{gathered} P_{none} \\ = \left(1 - P_{reach} \cdot P_{engage}\right)^{N_{impl}} \end{gathered} \] where: \[ P_{engage} = 1 - P_{dismiss} = 1 - 90\% = 10\% \] where: \[ \begin{gathered} N_{impl} \\ = N_{billionaire} + N_{leader} \\ = 2{,}780 + 195 \\ = 2{,}980 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for P(At Least One Engages)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
P(No Implementer Engages) (rate) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: P(At Least One Engages) (10,000 simulations)

Monte Carlo Distribution: P(At Least One Engages) (10,000 simulations)

Simulation Results Summary: P(At Least One Engages)

Statistic Value
Baseline (deterministic) 96.9%
Mean (expected value) 59.1%
Median (50th percentile) 59.2%
Standard Deviation 31.4%
90% Range (5th-95th percentile) [11.3%, 100%]

The histogram shows the distribution of P(At Least One Engages) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: P(At Least One Engages)

Probability of Exceeding Threshold: P(At Least One Engages)

This exceedance probability chart shows the likelihood that P(At Least One Engages) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Implementer Orbit Reach Probability: 1.17%

Probability a given implementer’s information orbit is reached by the content cascade

Inputs:

\[ \begin{gathered} P_{reach} \\ = 1 - \left(1 - \frac{O_{impl}}{N}\right)^{N_0 \cdot \sum_{i=0}^{3} R_{eff}^i} \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Implementer Orbit Reach Probability

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Initial Audience (people) 0.6446 Strong driver
Implementer Orbit Size (people) 0.4206 Moderate driver
Effective R (ratio) 0.1076 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Implementer Orbit Reach Probability (10,000 simulations)

Monte Carlo Distribution: Implementer Orbit Reach Probability (10,000 simulations)

Simulation Results Summary: Implementer Orbit Reach Probability

Statistic Value
Baseline (deterministic) 1.17%
Mean (expected value) 1.03%
Median (50th percentile) 0.331%
Standard Deviation 2.39%
90% Range (5th-95th percentile) [0.0485%, 4.14%]

The histogram shows the distribution of Implementer Orbit Reach Probability across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Implementer Orbit Reach Probability

Probability of Exceeding Threshold: Implementer Orbit Reach Probability

This exceedance probability chart shows the likelihood that Implementer Orbit Reach Probability will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

P(No Implementer Engages): 3.08%

Probability that NO implementer engages (all orbits missed or all dismiss)

Inputs:

\[ \begin{gathered} P_{none} \\ = \left(1 - P_{reach} \cdot P_{engage}\right)^{N_{impl}} \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for P(No Implementer Engages)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Implementer Orbit Size (people) -0.5291 Strong driver
Initial Audience (people) -0.4753 Moderate driver
Engagement Rate (rate) -0.2890 Weak driver
Effective R (ratio) -0.1234 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: P(No Implementer Engages) (10,000 simulations)

Monte Carlo Distribution: P(No Implementer Engages) (10,000 simulations)

Simulation Results Summary: P(No Implementer Engages)

Statistic Value
Baseline (deterministic) 3.08%
Mean (expected value) 40.9%
Median (50th percentile) 40.8%
Standard Deviation 31.4%
90% Range (5th-95th percentile) [0.000449%, 88.7%]

The histogram shows the distribution of P(No Implementer Engages) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: P(No Implementer Engages)

Probability of Exceeding Threshold: P(No Implementer Engages)

This exceedance probability chart shows the likelihood that P(No Implementer Engages) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Chronic Disease Patients Treated: 982 million people

Estimated unique patients receiving chronic disease treatment annually. Derived from IQVIA days of therapy (1.28T) divided by 365 days divided by 2.5 average medications per patient times 70% post-1962 drugs.

Inputs:

\[ \begin{gathered} N_{treated} \\ = DOT_{chronic} \times 0.000767 \\ = 1.28T \times 0.000767 \\ = 982M \end{gathered} \]

Methodology:54

? Low confidence

Sensitivity Analysis

Sensitivity Indices for Annual Chronic Disease Patients Treated

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Days of Chronic Disease Therapy (days) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Chronic Disease Patients Treated (10,000 simulations)

Monte Carlo Distribution: Annual Chronic Disease Patients Treated (10,000 simulations)

Simulation Results Summary: Annual Chronic Disease Patients Treated

Statistic Value
Baseline (deterministic) 982 million
Mean (expected value) 983 million
Median (50th percentile) 979 million
Standard Deviation 98 million
90% Range (5th-95th percentile) [831 million, 1.15 billion]

The histogram shows the distribution of Annual Chronic Disease Patients Treated across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Chronic Disease Patients Treated

Probability of Exceeding Threshold: Annual Chronic Disease Patients Treated

This exceedance probability chart shows the likelihood that Annual Chronic Disease Patients Treated will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Combination Therapy Space: 45.1 billion combinations

Total combination therapy space (pairwise drug combinations × diseases). Standard in oncology, HIV, cardiology.

Inputs:

\[ \begin{gathered} Space_{combo} \\ = N_{combo} \times N_{diseases,trial} \\ = 45.1M \times 1{,}000 \\ = 45.1B \end{gathered} \] where: \[ N_{combo} = \frac{N_{safe} \cdot (N_{safe} - 1)}{2} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Combination Therapy Space

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pairwise Drug Combinations (combinations) 0.9212 Strong driver
Trial-Relevant Diseases (diseases) 0.3584 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Combination Therapy Space (10,000 simulations)

Monte Carlo Distribution: Combination Therapy Space (10,000 simulations)

Simulation Results Summary: Combination Therapy Space

Statistic Value
Baseline (deterministic) 45.1 billion
Mean (expected value) 46.1 billion
Median (50th percentile) 44.5 billion
Standard Deviation 14.9 billion
90% Range (5th-95th percentile) [25 billion, 72.6 billion]

The histogram shows the distribution of Combination Therapy Space across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Combination Therapy Space

Probability of Exceeding Threshold: Combination Therapy Space

This exceedance probability chart shows the likelihood that Combination Therapy Space will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pairwise Drug Combinations: 45.1 million combinations

Unique pairwise drug combinations from known safe compounds (n choose 2)

Inputs:

\[ N_{combo} = \frac{N_{safe} \cdot (N_{safe} - 1)}{2} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Pairwise Drug Combinations

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Safe Compounds Available for Testing (compounds) 0.9977 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pairwise Drug Combinations (10,000 simulations)

Monte Carlo Distribution: Pairwise Drug Combinations (10,000 simulations)

Simulation Results Summary: Pairwise Drug Combinations

Statistic Value
Baseline (deterministic) 45.1 million
Mean (expected value) 46.1 million
Median (50th percentile) 44.9 million
Standard Deviation 13.7 million
90% Range (5th-95th percentile) [26.2 million, 68.9 million]

The histogram shows the distribution of Pairwise Drug Combinations across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pairwise Drug Combinations

Probability of Exceeding Threshold: Pairwise Drug Combinations

This exceedance probability chart shows the likelihood that Pairwise Drug Combinations will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

DALYs Averted per Percentage Point: 5.65 billion DALYs

DALYs averted per percentage point of implementation probability shift. One percent of total DALYs from eliminating trial capacity bottleneck and efficacy lag.

Inputs:

\[ \begin{gathered} DALYs_{pp} \\ = DALYs_{max} \times 0.01 \\ = 565B \times 0.01 \\ = 5.65B \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for DALYs Averted per Percentage Point

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (DALYs) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: DALYs Averted per Percentage Point (10,000 simulations)

Monte Carlo Distribution: DALYs Averted per Percentage Point (10,000 simulations)

Simulation Results Summary: DALYs Averted per Percentage Point

Statistic Value
Baseline (deterministic) 5.65 billion
Mean (expected value) 6.35 billion
Median (50th percentile) 6 billion
Standard Deviation 2.37 billion
90% Range (5th-95th percentile) [3.09 billion, 10.8 billion]

The histogram shows the distribution of DALYs Averted per Percentage Point across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: DALYs Averted per Percentage Point

Probability of Exceeding Threshold: DALYs Averted per Percentage Point

This exceedance probability chart shows the likelihood that DALYs Averted per Percentage Point will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Contribution EV per Percentage Point (Treaty): $5,189

Personal expected value per percentage point of implementation probability shift under Treaty Trajectory. One percent of the per-capita lifetime income gain.

Inputs:

\[ \begin{gathered} EV_{pp,treaty} \\ = \Delta Y_{lifetime,treaty} \times 0.01 \\ = \$519K \times 0.01 \\ = \$5.19K \end{gathered} \] where: \[ \begin{gathered} \Delta Y_{lifetime,treaty} \\ = Y_{cum,treaty} - Y_{cum,earth} \\ = \$1.42M - \$904K \\ = \$519K \end{gathered} \] where: \[ \begin{gathered} Y_{cum,treaty} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,treaty})((1+g_{pc,treaty})^{20}-1)}{g_{pc,treaty}} \\ + \bar{y}_{treaty,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Contribution EV per Percentage Point (Treaty)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory Lifetime Income Gain (Per Capita) (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Contribution EV per Percentage Point (Treaty) (10,000 simulations)

Monte Carlo Distribution: Contribution EV per Percentage Point (Treaty) (10,000 simulations)

Simulation Results Summary: Contribution EV per Percentage Point (Treaty)

Statistic Value
Baseline (deterministic) $5,189
Mean (expected value) $5,321
Median (50th percentile) $5,220
Standard Deviation $1,902
90% Range (5th-95th percentile) [$2,217, $8,609]

The histogram shows the distribution of Contribution EV per Percentage Point (Treaty) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Contribution EV per Percentage Point (Treaty)

Probability of Exceeding Threshold: Contribution EV per Percentage Point (Treaty)

This exceedance probability chart shows the likelihood that Contribution EV per Percentage Point (Treaty) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Contribution EV per Percentage Point (Treaty, Blended): $29,339

Blended personal expected value per percentage point of implementation probability shift under Treaty Trajectory.

Inputs:

\[ \begin{gathered} EV_{pp,treaty,blend} \\ = Upside_{blend,treaty} \times 0.01 \\ = \$2.93M \times 0.01 \\ = \$29.3K \end{gathered} \] where: \[ \begin{gathered} Upside_{blend,treaty} \\ = \Delta Y_{lifetime,treaty} + Value_{HALE,treaty} \\ = \$519K + \$2.42M \\ = \$2.93M \end{gathered} \] where: \[ \begin{gathered} \Delta Y_{lifetime,treaty} \\ = Y_{cum,treaty} - Y_{cum,earth} \\ = \$1.42M - \$904K \\ = \$519K \end{gathered} \] where: \[ \begin{gathered} Y_{cum,treaty} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,treaty})((1+g_{pc,treaty})^{20}-1)}{g_{pc,treaty}} \\ + \bar{y}_{treaty,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} Value_{HALE,treaty} \\ = \Delta HALE_{treaty,15} \times Value_{QALY} \\ = 16.1 \times \$150K \\ = \$2.42M \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,15} \\ = f_{cure,15,treaty} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{treaty,longevity,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,longevity,15} \\ = T_{extend} \times \rho_{HALE,15} \times f_{cure,15,treaty} \\ = 20 \times 30\% \times 100\% \\ = 6 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Contribution EV per Percentage Point (Treaty, Blended)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Personal Upside (Blended) (USD/person) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Contribution EV per Percentage Point (Treaty, Blended) (10,000 simulations)

Monte Carlo Distribution: Contribution EV per Percentage Point (Treaty, Blended) (10,000 simulations)

Simulation Results Summary: Contribution EV per Percentage Point (Treaty, Blended)

Statistic Value
Baseline (deterministic) $29,339
Mean (expected value) $27,792
Median (50th percentile) $25,811
Standard Deviation $12,146
90% Range (5th-95th percentile) [$12,866, $49,122]

The histogram shows the distribution of Contribution EV per Percentage Point (Treaty, Blended) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Contribution EV per Percentage Point (Treaty, Blended)

Probability of Exceeding Threshold: Contribution EV per Percentage Point (Treaty, Blended)

This exceedance probability chart shows the likelihood that Contribution EV per Percentage Point (Treaty, Blended) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Contribution EV per Percentage Point (Wishonia): $364,454

Personal expected value per percentage point of implementation probability shift under Wishonia Trajectory. One percent of the per-capita lifetime income gain.

Inputs:

\[ \begin{gathered} EV_{pp,wish} \\ = \Delta Y_{lifetime,wish} \times 0.01 \\ = \$36.4M \times 0.01 \\ = \$364K \end{gathered} \] where: \[ \begin{gathered} \Delta Y_{lifetime,wish} \\ = Y_{cum,wish} - Y_{cum,earth} \\ = \$37.3M - \$904K \\ = \$36.4M \end{gathered} \] where: \[ \begin{gathered} Y_{cum,wish} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,wish})((1+g_{pc,wish})^{20}-1)}{g_{pc,wish}} \\ + \bar{y}_{wish,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{wish,20} \\ = \frac{GDP_{wish,20}}{Pop_{2045}} \\ = \frac{\$10700T}{9.2B} \\ = \$1.16M \end{gathered} \] where: \[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Contribution EV per Percentage Point (Wishonia)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory Lifetime Income Gain (Per Capita) (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Contribution EV per Percentage Point (Wishonia) (10,000 simulations)

Monte Carlo Distribution: Contribution EV per Percentage Point (Wishonia) (10,000 simulations)

Simulation Results Summary: Contribution EV per Percentage Point (Wishonia)

Statistic Value
Baseline (deterministic) $364,454
Mean (expected value) $422,156
Median (50th percentile) $348,951
Standard Deviation $283,249
90% Range (5th-95th percentile) [$134,597, $969,785]

The histogram shows the distribution of Contribution EV per Percentage Point (Wishonia) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Contribution EV per Percentage Point (Wishonia)

Probability of Exceeding Threshold: Contribution EV per Percentage Point (Wishonia)

This exceedance probability chart shows the likelihood that Contribution EV per Percentage Point (Wishonia) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Contribution EV per Percentage Point (Wishonia, Blended): $404,654

Blended personal expected value per percentage point of implementation probability shift under Wishonia Trajectory.

Inputs:

\[ \begin{gathered} EV_{pp,wish,blend} \\ = Upside_{blend,wish} \times 0.01 \\ = \$40.5M \times 0.01 \\ = \$405K \end{gathered} \] where: \[ \begin{gathered} Upside_{blend,wish} \\ = \Delta Y_{lifetime,wish} + Value_{HALE,wish} \\ = \$36.4M + \$4.02M \\ = \$40.5M \end{gathered} \] where: \[ \begin{gathered} \Delta Y_{lifetime,wish} \\ = Y_{cum,wish} - Y_{cum,earth} \\ = \$37.3M - \$904K \\ = \$36.4M \end{gathered} \] where: \[ \begin{gathered} Y_{cum,wish} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,wish})((1+g_{pc,wish})^{20}-1)}{g_{pc,wish}} \\ + \bar{y}_{wish,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{wish,20} \\ = \frac{GDP_{wish,20}}{Pop_{2045}} \\ = \frac{\$10700T}{9.2B} \\ = \$1.16M \end{gathered} \] where: \[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} Value_{HALE,wish} \\ = \Delta HALE_{wish,15} \times Value_{QALY} \\ = 26.8 \times \$150K \\ = \$4.02M \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{wish,15} \\ = f_{cure,15,wish} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{wish,extra,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{15}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{wish,extra,15} \\ = f_{cure,15,wish} \times (\Delta LE_{best} \\ + T_{extend} \times \rho_{HALE,15}) \end{gathered} \] where: \[ \begin{gathered} \Delta LE_{best} \\ = \max\left(LE_{CH}, LE_{SG}\right) - LE_{global} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Contribution EV per Percentage Point (Wishonia, Blended)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Personal Upside (Blended) (USD/person) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Contribution EV per Percentage Point (Wishonia, Blended) (10,000 simulations)

Monte Carlo Distribution: Contribution EV per Percentage Point (Wishonia, Blended) (10,000 simulations)

Simulation Results Summary: Contribution EV per Percentage Point (Wishonia, Blended)

Statistic Value
Baseline (deterministic) $404,654
Mean (expected value) $462,203
Median (50th percentile) $389,419
Standard Deviation $283,563
90% Range (5th-95th percentile) [$172,761, $1.01 million]

The histogram shows the distribution of Contribution EV per Percentage Point (Wishonia, Blended) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Contribution EV per Percentage Point (Wishonia, Blended)

Probability of Exceeding Threshold: Contribution EV per Percentage Point (Wishonia, Blended)

This exceedance probability chart shows the likelihood that Contribution EV per Percentage Point (Wishonia, Blended) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Lives Saved per Percentage Point: 107 million lives

Lives saved per percentage point of implementation probability shift. One percent of total lives saved from eliminating trial capacity bottleneck and efficacy lag.

Inputs:

\[ \begin{gathered} Lives_{pp} \\ = Lives_{max} \times 0.01 \\ = 10.7B \times 0.01 \\ = 107M \end{gathered} \] where: \[ \begin{gathered} Lives_{max} \\ = Deaths_{disease,daily} \times T_{accel,max} \times 338 \\ = 150{,}000 \times 212 \times 338 \\ = 10.7B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Lives Saved per Percentage Point

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (deaths) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Lives Saved per Percentage Point (10,000 simulations)

Monte Carlo Distribution: Lives Saved per Percentage Point (10,000 simulations)

Simulation Results Summary: Lives Saved per Percentage Point

Statistic Value
Baseline (deterministic) 107 million
Mean (expected value) 121 million
Median (50th percentile) 115 million
Standard Deviation 42.8 million
90% Range (5th-95th percentile) [62.4 million, 203 million]

The histogram shows the distribution of Lives Saved per Percentage Point across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Lives Saved per Percentage Point

Probability of Exceeding Threshold: Lives Saved per Percentage Point

This exceedance probability chart shows the likelihood that Lives Saved per Percentage Point will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Suffering Hours Prevented per Percentage Point: 19.3 trillion hours

Suffering hours prevented per percentage point of implementation probability shift. One percent of total suffering hours from eliminating trial capacity bottleneck and efficacy lag.

Inputs:

\[ \begin{gathered} Hours_{pp} \\ = Hours_{suffer,max} \times 0.01 \\ = 1930T \times 0.01 \\ = 19.3T \end{gathered} \] where: \[ \begin{gathered} Hours_{suffer,max} \\ = DALYs_{max} \times Pct_{YLD} \times 8760 \\ = 565B \times 0.39 \times 8760 \\ = 1930T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Suffering Hours Prevented per Percentage Point

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (hours) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Suffering Hours Prevented per Percentage Point (10,000 simulations)

Monte Carlo Distribution: Suffering Hours Prevented per Percentage Point (10,000 simulations)

Simulation Results Summary: Suffering Hours Prevented per Percentage Point

Statistic Value
Baseline (deterministic) 19.3 trillion
Mean (expected value) 21.7 trillion
Median (50th percentile) 20.4 trillion
Standard Deviation 8.28 trillion
90% Range (5th-95th percentile) [10.4 trillion, 37.5 trillion]

The histogram shows the distribution of Suffering Hours Prevented per Percentage Point across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Suffering Hours Prevented per Percentage Point

Probability of Exceeding Threshold: Suffering Hours Prevented per Percentage Point

This exceedance probability chart shows the likelihood that Suffering Hours Prevented per Percentage Point will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Conventional Retirement Horizon Multiple: 2.57x

Compound multiple for conventional retirement investing over the prize pool resolution horizon (tied to the destructive economy 50% threshold year).

Inputs:

\[ M_{retire} = (1 + r_{retire})^{Y_{50\%} - Y_0} \] where: \[ \begin{gathered} Y_{50\%} \\ = Y_0 \\ + \frac{\ln\left(0.50 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Conventional Retirement Horizon Multiple

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Conventional Retirement Return (After Fees) (percent) 0.9984 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Conventional Retirement Horizon Multiple (10,000 simulations)

Monte Carlo Distribution: Conventional Retirement Horizon Multiple (10,000 simulations)

Simulation Results Summary: Conventional Retirement Horizon Multiple

Statistic Value
Baseline (deterministic) 2.57x
Mean (expected value) 2.58x
Median (50th percentile) 2.57x
Standard Deviation 0.267x
90% Range (5th-95th percentile) [2.15x, 3.07x]

The histogram shows the distribution of Conventional Retirement Horizon Multiple across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Conventional Retirement Horizon Multiple

Probability of Exceeding Threshold: Conventional Retirement Horizon Multiple

This exceedance probability chart shows the likelihood that Conventional Retirement Horizon Multiple will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Drugs Never Developed VSL: $3 quadrillion

Corporate-defendant wrongful-death valuation for the aggressive prosecutor estimate of deaths from drugs never developed.

Inputs:

\[ \begin{gathered} V_{neverdev,VSL} \\ = Deaths_{neverdev} \times VSL \\ = 300M \times \$10M \\ = \$3000T \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Drugs Never Developed VSL

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Value of Statistical Life (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Drugs Never Developed VSL (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Drugs Never Developed VSL (10,000 simulations)

Simulation Results Summary: Corporate Damages Drugs Never Developed VSL

Statistic Value
Baseline (deterministic) $3 quadrillion
Mean (expected value) $2.96 quadrillion
Median (50th percentile) $2.91 quadrillion
Standard Deviation $812 trillion
90% Range (5th-95th percentile) [$1.7 quadrillion, $4.5 quadrillion]

The histogram shows the distribution of Corporate Damages Drugs Never Developed VSL across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Drugs Never Developed VSL

Probability of Exceeding Threshold: Corporate Damages Drugs Never Developed VSL

This exceedance probability chart shows the likelihood that Corporate Damages Drugs Never Developed VSL will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Efficacy Lag Deaths VSL: $1.02 quadrillion

Corporate-defendant wrongful-death valuation for existing-drug efficacy-lag deaths using the standard value of a statistical life.

Inputs:

\[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Efficacy Lag Deaths VSL

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Deaths from Historical Progress Delays (deaths) 0.7742 Strong driver
Value of Statistical Life (USD) 0.5919 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Efficacy Lag Deaths VSL (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Efficacy Lag Deaths VSL (10,000 simulations)

Simulation Results Summary: Corporate Damages Efficacy Lag Deaths VSL

Statistic Value
Baseline (deterministic) $1.02 quadrillion
Mean (expected value) $1 quadrillion
Median (50th percentile) $921 trillion
Standard Deviation $462 trillion
90% Range (5th-95th percentile) [$405 trillion, $1.89 quadrillion]

The histogram shows the distribution of Corporate Damages Efficacy Lag Deaths VSL across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Efficacy Lag Deaths VSL

Probability of Exceeding Threshold: Corporate Damages Efficacy Lag Deaths VSL

This exceedance probability chart shows the likelihood that Corporate Damages Efficacy Lag Deaths VSL will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Forward Settlement Value Per Capita: $10.6 million

Forward treaty settlement value per living human from the 1% Treaty impact model. Kept separate from historical corporate damages.

Inputs:

\[ \begin{gathered} V_{settlement,pc} \\ = \frac{Value_{max}}{Pop_{global}} \\ = \frac{\$84800T}{8B} \\ = \$10.6M \end{gathered} \] where: \[ \begin{gathered} Value_{max} \\ = DALYs_{max} \times Value_{QALY} \\ = 565B \times \$150K \\ = \$84800T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Forward Settlement Value Per Capita

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (USD) 0.9996 Strong driver
Global Population in 2024 (of people) -0.0289 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Forward Settlement Value Per Capita (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Forward Settlement Value Per Capita (10,000 simulations)

Simulation Results Summary: Corporate Damages Forward Settlement Value Per Capita

Statistic Value
Baseline (deterministic) $10.6 million
Mean (expected value) $11.9 million
Median (50th percentile) $11 million
Standard Deviation $5.03 million
90% Range (5th-95th percentile) [$5.36 million, $21.4 million]

The histogram shows the distribution of Corporate Damages Forward Settlement Value Per Capita across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Forward Settlement Value Per Capita

Probability of Exceeding Threshold: Corporate Damages Forward Settlement Value Per Capita

This exceedance probability chart shows the likelihood that Corporate Damages Forward Settlement Value Per Capita will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Pentagon FCA Penalty Increment: $4.92 trillion

False Claims Act-style penalty increment on Pentagon unaccounted funds, calculated as treble exposure minus principal so the principal is not counted twice.

Inputs:

\[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] ✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Corporate Damages Pentagon FCA Penalty Increment is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 4.920e+00)

Statistic Value
Baseline (deterministic) $4.92 trillion
Mean (expected value) $4.92 trillion
Median (50th percentile) $4.92 trillion
Standard Deviation $0
90% Range (5th-95th percentile) [$4.92 trillion, $4.92 trillion]

Exceedance Probability

Exceedance note: Corporate Damages Pentagon FCA Penalty Increment collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 4.920e+00)

Approximate deterministic value: $4.92 trillion

Corporate Damages Property Plus Environmental Destruction: $50 trillion

Property and environmental destruction from war since 1900, separated from war death valuation to avoid adding the QALY component embedded in the broader historical sunk-cost parameter.

Inputs:

\[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Property Plus Environmental Destruction

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Cumulative Property Destruction from War Since 1900 (USD) 0.9772 Strong driver
Cumulative Environmental Destruction from War Since 1900 (USD) 0.2130 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Property Plus Environmental Destruction (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Property Plus Environmental Destruction (10,000 simulations)

Simulation Results Summary: Corporate Damages Property Plus Environmental Destruction

Statistic Value
Baseline (deterministic) $50 trillion
Mean (expected value) $49.9 trillion
Median (50th percentile) $50 trillion
Standard Deviation $8.84 trillion
90% Range (5th-95th percentile) [$36.1 trillion, $63.6 trillion]

The histogram shows the distribution of Corporate Damages Property Plus Environmental Destruction across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Property Plus Environmental Destruction

Probability of Exceeding Threshold: Corporate Damages Property Plus Environmental Destruction

This exceedance probability chart shows the likelihood that Corporate Damages Property Plus Environmental Destruction will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Prosecutor Base Ask Per Capita: $913,219

Aggressive corporate-liability prosecutor base ask per living human.

Inputs:

\[ \begin{gathered} D_{corp,ask,pc} \\ = \frac{D_{corp,ask}}{Pop_{global}} \\ = \frac{\$7310T}{8B} \\ = \$913K \end{gathered} \] where: \[ \begin{gathered} D_{corp,ask} \\ = D_{corp,floor} + V_{neverdev,VSL} \\ = \$4310T + \$3000T \\ = \$7310T \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] where: \[ \begin{gathered} V_{neverdev,VSL} \\ = Deaths_{neverdev} \times VSL \\ = 300M \times \$10M \\ = \$3000T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Prosecutor Base Ask Per Capita

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages Prosecutor Base Ask Total (USD) 0.9992 Strong driver
Global Population in 2024 (of people) -0.0435 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Prosecutor Base Ask Per Capita (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Prosecutor Base Ask Per Capita (10,000 simulations)

Simulation Results Summary: Corporate Damages Prosecutor Base Ask Per Capita

Statistic Value
Baseline (deterministic) $913,219
Mean (expected value) $853,047
Median (50th percentile) $835,043
Standard Deviation $238,313
90% Range (5th-95th percentile) [$490,901, $1.27 million]

The histogram shows the distribution of Corporate Damages Prosecutor Base Ask Per Capita across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Prosecutor Base Ask Per Capita

Probability of Exceeding Threshold: Corporate Damages Prosecutor Base Ask Per Capita

This exceedance probability chart shows the likelihood that Corporate Damages Prosecutor Base Ask Per Capita will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Prosecutor Base Ask Total: $7.31 quadrillion

Aggressive corporate-liability prosecutor base ask: strict floor plus the aggressive pleading estimate for deaths from drugs never developed. Excludes punitive damages, disgorgement, ongoing lost-income damages, and forward treaty settlement value.

Inputs:

\[ \begin{gathered} D_{corp,ask} \\ = D_{corp,floor} + V_{neverdev,VSL} \\ = \$4310T + \$3000T \\ = \$7310T \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] where: \[ \begin{gathered} V_{neverdev,VSL} \\ = Deaths_{neverdev} \times VSL \\ = 300M \times \$10M \\ = \$3000T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Prosecutor Base Ask Total

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages Strict Floor Total (USD) 0.6061 Strong driver
Corporate Damages Drugs Never Developed VSL (USD) 0.4262 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Prosecutor Base Ask Total (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Prosecutor Base Ask Total (10,000 simulations)

Simulation Results Summary: Corporate Damages Prosecutor Base Ask Total

Statistic Value
Baseline (deterministic) $7.31 quadrillion
Mean (expected value) $6.82 quadrillion
Median (50th percentile) $6.69 quadrillion
Standard Deviation $1.9 quadrillion
90% Range (5th-95th percentile) [$3.92 quadrillion, $10.2 quadrillion]

The histogram shows the distribution of Corporate Damages Prosecutor Base Ask Total across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Prosecutor Base Ask Total

Probability of Exceeding Threshold: Corporate Damages Prosecutor Base Ask Total

This exceedance probability chart shows the likelihood that Corporate Damages Prosecutor Base Ask Total will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Prosecutor Gross Aging Intake Exposure: $17.8 quadrillion

Gross pleading exposure for the overlapping aging intake class valued at VSL. Displayed separately because it overlaps with the broader disease-death class.

Inputs:

\[ \begin{gathered} D_{corp,aging,gross} \\ = N_{plaintiffs,aging} \times VSL \\ = 1.78B \times \$10M \\ = \$17800T \end{gathered} \] where: \[ \begin{gathered} N_{plaintiffs,aging} \\ = T_{post,aging} \times Deaths_{curable,ann} \times Pct_{avoid,death} \\ = 35 \times 55M \times 92.6\% \\ = 1.78B \end{gathered} \] where: \[ T_{post,aging} = Y_{plead,end} - Y_{aging,plead} + 1 \] where: \[ \begin{gathered} Y_{aging,plead} \\ = Y_{disease,plead} + T_{aging,lag} \\ = 1{,}950 + 40 \\ = 1{,}990 \end{gathered} \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Prosecutor Gross Aging Intake Exposure

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War Trial Redirect Post-Cutoff Aging Plaintiffs (plaintiffs) 0.9344 Strong driver
Value of Statistical Life (USD) 0.2416 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Aging Intake Exposure (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Aging Intake Exposure (10,000 simulations)

Simulation Results Summary: Corporate Damages Prosecutor Gross Aging Intake Exposure

Statistic Value
Baseline (deterministic) $17.8 quadrillion
Mean (expected value) $15.7 quadrillion
Median (50th percentile) $17.8 quadrillion
Standard Deviation \(17.8 quadrillion | | 90% Range (5th-95th percentile) | [\)-16.4 quadrillion, $39.8 quadrillion]

The histogram shows the distribution of Corporate Damages Prosecutor Gross Aging Intake Exposure across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Aging Intake Exposure

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Aging Intake Exposure

This exceedance probability chart shows the likelihood that Corporate Damages Prosecutor Gross Aging Intake Exposure will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Prosecutor Gross Disease DALY Exposure: $30 quadrillion

Gross pleading exposure for post-cutoff disease DALYs valued at the standard QALY value. This is disease-year and suffering exposure, not a final non-duplicative award.

Inputs:

\[ \begin{gathered} D_{corp,DALY,gross} \\ = DALYs_{post,disease} \times Value_{QALY} \\ = 200B \times \$150K \\ = \$30000T \end{gathered} \] where: \[ \begin{gathered} DALYs_{post,disease} \\ = T_{post,disease} \times DALYs_{global,ann} \times Pct_{avoid,DALY} \\ = 75 \times 2.88B \times 92.6\% \\ = 200B \end{gathered} \] where: \[ T_{post,disease} = Y_{plead,end} - Y_{disease,plead} + 1 \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Prosecutor Gross Disease DALY Exposure

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War Trial Redirect Post-Cutoff Disease DALYs (DALYs) 0.9206 Strong driver
Standard Economic Value per QALY (USD/QALY) 0.3486 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Disease DALY Exposure (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Disease DALY Exposure (10,000 simulations)

Simulation Results Summary: Corporate Damages Prosecutor Gross Disease DALY Exposure

Statistic Value
Baseline (deterministic) $30 quadrillion
Mean (expected value) $28.4 quadrillion
Median (50th percentile) $30.1 quadrillion
Standard Deviation $14.8 quadrillion
90% Range (5th-95th percentile) [$1.81 quadrillion, $48.6 quadrillion]

The histogram shows the distribution of Corporate Damages Prosecutor Gross Disease DALY Exposure across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Disease DALY Exposure

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Disease DALY Exposure

This exceedance probability chart shows the likelihood that Corporate Damages Prosecutor Gross Disease DALY Exposure will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Prosecutor Gross Medical Misallocation Exposure: $38.2 quadrillion

Gross pleading exposure for post-cutoff medical misallocation disease plaintiffs valued at VSL. This is pleading exposure, not a final non-duplicative award.

Inputs:

\[ \begin{gathered} D_{corp,med,gross} \\ = N_{plaintiffs,disease} \times VSL \\ = 3.82B \times \$10M \\ = \$38200T \end{gathered} \] where: \[ \begin{gathered} N_{plaintiffs,disease} \\ = T_{post,disease} \times Deaths_{curable,ann} \times Pct_{avoid,death} \\ = 75 \times 55M \times 92.6\% \\ = 3.82B \end{gathered} \] where: \[ T_{post,disease} = Y_{plead,end} - Y_{disease,plead} + 1 \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Prosecutor Gross Medical Misallocation Exposure

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War Trial Redirect Post-Cutoff Disease Plaintiffs (plaintiffs) 0.8449 Strong driver
Value of Statistical Life (USD) 0.4753 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Medical Misallocation Exposure (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Medical Misallocation Exposure (10,000 simulations)

Simulation Results Summary: Corporate Damages Prosecutor Gross Medical Misallocation Exposure

Statistic Value
Baseline (deterministic) $38.2 quadrillion
Mean (expected value) $35.7 quadrillion
Median (50th percentile) $36 quadrillion
Standard Deviation $20.6 quadrillion
90% Range (5th-95th percentile) [$2.44 quadrillion, $68.8 quadrillion]

The histogram shows the distribution of Corporate Damages Prosecutor Gross Medical Misallocation Exposure across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Medical Misallocation Exposure

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Medical Misallocation Exposure

This exceedance probability chart shows the likelihood that Corporate Damages Prosecutor Gross Medical Misallocation Exposure will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Prosecutor Gross Pleading Exposure Per Living Human: $5.31 million

Gross death-based pleading exposure per living human if the judgment were distributed as universal residual restitution. This is not a final award.

Inputs:

\[ \begin{gathered} D_{corp,plead,gross,pc} \\ = \frac{D_{corp,plead,gross}}{Pop_{global}} \\ = \frac{\$42500T}{8B} \\ = \$5.31M \end{gathered} \] where: \[ \begin{gathered} D_{corp,plead,gross} \\ = D_{corp,floor} + D_{corp,med,gross} \\ = \$4310T + \$38200T \\ = \$42500T \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] where: \[ \begin{gathered} D_{corp,med,gross} \\ = N_{plaintiffs,disease} \times VSL \\ = 3.82B \times \$10M \\ = \$38200T \end{gathered} \] where: \[ \begin{gathered} N_{plaintiffs,disease} \\ = T_{post,disease} \times Deaths_{curable,ann} \times Pct_{avoid,death} \\ = 75 \times 55M \times 92.6\% \\ = 3.82B \end{gathered} \] where: \[ T_{post,disease} = Y_{plead,end} - Y_{disease,plead} + 1 \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Prosecutor Gross Pleading Exposure Per Living Human

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages Prosecutor Gross Pleading Exposure Total (USD) 0.9998 Strong driver
Global Population in 2024 (of people) -0.0228 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Pleading Exposure Per Living Human (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Pleading Exposure Per Living Human (10,000 simulations)

Simulation Results Summary: Corporate Damages Prosecutor Gross Pleading Exposure Per Living Human

Statistic Value
Baseline (deterministic) $5.31 million
Mean (expected value) $4.94 million
Median (50th percentile) $4.95 million
Standard Deviation $2.63 million
90% Range (5th-95th percentile) [$719,051, $9.23 million]

The histogram shows the distribution of Corporate Damages Prosecutor Gross Pleading Exposure Per Living Human across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Pleading Exposure Per Living Human

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Pleading Exposure Per Living Human

This exceedance probability chart shows the likelihood that Corporate Damages Prosecutor Gross Pleading Exposure Per Living Human will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Prosecutor Gross Pleading Exposure Total: $42.5 quadrillion

Aggressive prosecutor gross pleading exposure: strict non-duplicative floor plus gross medical misallocation exposure. This is gross pleading exposure, not a final award.

Inputs:

\[ \begin{gathered} D_{corp,plead,gross} \\ = D_{corp,floor} + D_{corp,med,gross} \\ = \$4310T + \$38200T \\ = \$42500T \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] where: \[ \begin{gathered} D_{corp,med,gross} \\ = N_{plaintiffs,disease} \times VSL \\ = 3.82B \times \$10M \\ = \$38200T \end{gathered} \] where: \[ \begin{gathered} N_{plaintiffs,disease} \\ = T_{post,disease} \times Deaths_{curable,ann} \times Pct_{avoid,death} \\ = 75 \times 55M \times 92.6\% \\ = 3.82B \end{gathered} \] where: \[ T_{post,disease} = Y_{plead,end} - Y_{disease,plead} + 1 \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Prosecutor Gross Pleading Exposure Total

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages Prosecutor Gross Medical Misallocation Exposure (USD) 0.9762 Strong driver
Corporate Damages Strict Floor Total (USD) 0.0548 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Pleading Exposure Total (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Pleading Exposure Total (10,000 simulations)

Simulation Results Summary: Corporate Damages Prosecutor Gross Pleading Exposure Total

Statistic Value
Baseline (deterministic) $42.5 quadrillion
Mean (expected value) $39.5 quadrillion
Median (50th percentile) $39.6 quadrillion
Standard Deviation $21.1 quadrillion
90% Range (5th-95th percentile) [$5.75 quadrillion, $74.1 quadrillion]

The histogram shows the distribution of Corporate Damages Prosecutor Gross Pleading Exposure Total across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Pleading Exposure Total

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Pleading Exposure Total

This exceedance probability chart shows the likelihood that Corporate Damages Prosecutor Gross Pleading Exposure Total will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Prosecutor Gross Pleading Exposure With DALYs: $72.5 quadrillion

Aggressive prosecutor stacked gross pleading exposure: strict floor plus post-cutoff disease-death VSL exposure plus post-cutoff disease DALY exposure. This intentionally shows the full pleading stack and may overlap; it is not a final non-duplicative award.

Inputs:

\[ \begin{gathered} D_{corp,plead,DALY} \\ = D_{corp,floor} + D_{corp,med,gross} + D_{corp,DALY,gross} \\ = \$4310T + \$38200T + \$30000T \\ = \$72500T \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] where: \[ \begin{gathered} D_{corp,med,gross} \\ = N_{plaintiffs,disease} \times VSL \\ = 3.82B \times \$10M \\ = \$38200T \end{gathered} \] where: \[ \begin{gathered} N_{plaintiffs,disease} \\ = T_{post,disease} \times Deaths_{curable,ann} \times Pct_{avoid,death} \\ = 75 \times 55M \times 92.6\% \\ = 3.82B \end{gathered} \] where: \[ T_{post,disease} = Y_{plead,end} - Y_{disease,plead} + 1 \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} D_{corp,DALY,gross} \\ = DALYs_{post,disease} \times Value_{QALY} \\ = 200B \times \$150K \\ = \$30000T \end{gathered} \] where: \[ \begin{gathered} DALYs_{post,disease} \\ = T_{post,disease} \times DALYs_{global,ann} \times Pct_{avoid,DALY} \\ = 75 \times 2.88B \times 92.6\% \\ = 200B \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Prosecutor Gross Pleading Exposure With DALYs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages Prosecutor Gross Medical Misallocation Exposure (USD) 0.6248 Strong driver
Corporate Damages Prosecutor Gross Disease DALY Exposure (USD) 0.4502 Moderate driver
Corporate Damages Strict Floor Total (USD) 0.0351 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Pleading Exposure With DALYs (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Pleading Exposure With DALYs (10,000 simulations)

Simulation Results Summary: Corporate Damages Prosecutor Gross Pleading Exposure With DALYs

Statistic Value
Baseline (deterministic) $72.5 quadrillion
Mean (expected value) $67.9 quadrillion
Median (50th percentile) $71.9 quadrillion
Standard Deviation $32.9 quadrillion
90% Range (5th-95th percentile) [$8.55 quadrillion, $113 quadrillion]

The histogram shows the distribution of Corporate Damages Prosecutor Gross Pleading Exposure With DALYs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Pleading Exposure With DALYs

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Pleading Exposure With DALYs

This exceedance probability chart shows the likelihood that Corporate Damages Prosecutor Gross Pleading Exposure With DALYs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Prosecutor Gross Pleading Exposure With DALYs Per Living Human: $9.07 million

Gross stacked pleading exposure per living human if the death and DALY pleading stack were distributed as universal residual restitution. This is not a final award.

Inputs:

\[ \begin{gathered} D_{corp,plead,DALY,pc} \\ = \frac{D_{corp,plead,DALY}}{Pop_{global}} \\ = \frac{\$72500T}{8B} \\ = \$9.07M \end{gathered} \] where: \[ \begin{gathered} D_{corp,plead,DALY} \\ = D_{corp,floor} + D_{corp,med,gross} + D_{corp,DALY,gross} \\ = \$4310T + \$38200T + \$30000T \\ = \$72500T \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] where: \[ \begin{gathered} D_{corp,med,gross} \\ = N_{plaintiffs,disease} \times VSL \\ = 3.82B \times \$10M \\ = \$38200T \end{gathered} \] where: \[ \begin{gathered} N_{plaintiffs,disease} \\ = T_{post,disease} \times Deaths_{curable,ann} \times Pct_{avoid,death} \\ = 75 \times 55M \times 92.6\% \\ = 3.82B \end{gathered} \] where: \[ T_{post,disease} = Y_{plead,end} - Y_{disease,plead} + 1 \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} D_{corp,DALY,gross} \\ = DALYs_{post,disease} \times Value_{QALY} \\ = 200B \times \$150K \\ = \$30000T \end{gathered} \] where: \[ \begin{gathered} DALYs_{post,disease} \\ = T_{post,disease} \times DALYs_{global,ann} \times Pct_{avoid,DALY} \\ = 75 \times 2.88B \times 92.6\% \\ = 200B \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Prosecutor Gross Pleading Exposure With DALYs Per Living Human

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages Prosecutor Gross Pleading Exposure With DALYs (USD) 0.9998 Strong driver
Global Population in 2024 (of people) -0.0251 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Pleading Exposure With DALYs Per Living Human (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Prosecutor Gross Pleading Exposure With DALYs Per Living Human (10,000 simulations)

Simulation Results Summary: Corporate Damages Prosecutor Gross Pleading Exposure With DALYs Per Living Human

Statistic Value
Baseline (deterministic) $9.07 million
Mean (expected value) $8.49 million
Median (50th percentile) $8.99 million
Standard Deviation $4.11 million
90% Range (5th-95th percentile) [$1.06 million, $14.1 million]

The histogram shows the distribution of Corporate Damages Prosecutor Gross Pleading Exposure With DALYs Per Living Human across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Pleading Exposure With DALYs Per Living Human

Probability of Exceeding Threshold: Corporate Damages Prosecutor Gross Pleading Exposure With DALYs Per Living Human

This exceedance probability chart shows the likelihood that Corporate Damages Prosecutor Gross Pleading Exposure With DALYs Per Living Human will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages State Farm Constitutional-Ceiling Exposure Per Capita: $9.13 million

Constitutional-ceiling exposure per living human under State Farm v. Campbell. This is exposure, not a typical award.

Inputs:

\[ \begin{gathered} D_{corp,StateFarm,pc} \\ = \frac{D_{corp,StateFarm}}{Pop_{global}} \\ = \frac{\$73100T}{8B} \\ = \$9.13M \end{gathered} \] where: \[ \begin{gathered} D_{corp,StateFarm} \\ = D_{corp,ask} \times m_{StateFarm} \\ = \$7310T \times 10 \\ = \$73100T \end{gathered} \] where: \[ \begin{gathered} D_{corp,ask} \\ = D_{corp,floor} + V_{neverdev,VSL} \\ = \$4310T + \$3000T \\ = \$7310T \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] where: \[ \begin{gathered} V_{neverdev,VSL} \\ = Deaths_{neverdev} \times VSL \\ = 300M \times \$10M \\ = \$3000T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages State Farm Constitutional-Ceiling Exposure Per Capita

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages State Farm Constitutional-Ceiling Exposure Total (USD) 0.9992 Strong driver
Global Population in 2024 (of people) -0.0435 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages State Farm Constitutional-Ceiling Exposure Per Capita (10,000 simulations)

Monte Carlo Distribution: Corporate Damages State Farm Constitutional-Ceiling Exposure Per Capita (10,000 simulations)

Simulation Results Summary: Corporate Damages State Farm Constitutional-Ceiling Exposure Per Capita

Statistic Value
Baseline (deterministic) $9.13 million
Mean (expected value) $8.53 million
Median (50th percentile) $8.35 million
Standard Deviation $2.38 million
90% Range (5th-95th percentile) [$4.91 million, $12.7 million]

The histogram shows the distribution of Corporate Damages State Farm Constitutional-Ceiling Exposure Per Capita across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages State Farm Constitutional-Ceiling Exposure Per Capita

Probability of Exceeding Threshold: Corporate Damages State Farm Constitutional-Ceiling Exposure Per Capita

This exceedance probability chart shows the likelihood that Corporate Damages State Farm Constitutional-Ceiling Exposure Per Capita will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages State Farm Constitutional-Ceiling Exposure Total: $73.1 quadrillion

Constitutional-ceiling exposure under State Farm v. Campbell: prosecutor base ask plus a 9:1 punitive-to-compensatory multiplier. This is exposure, not a typical award.

Inputs:

\[ \begin{gathered} D_{corp,StateFarm} \\ = D_{corp,ask} \times m_{StateFarm} \\ = \$7310T \times 10 \\ = \$73100T \end{gathered} \] where: \[ \begin{gathered} D_{corp,ask} \\ = D_{corp,floor} + V_{neverdev,VSL} \\ = \$4310T + \$3000T \\ = \$7310T \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] where: \[ \begin{gathered} V_{neverdev,VSL} \\ = Deaths_{neverdev} \times VSL \\ = 300M \times \$10M \\ = \$3000T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages State Farm Constitutional-Ceiling Exposure Total

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages Prosecutor Base Ask Total (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages State Farm Constitutional-Ceiling Exposure Total (10,000 simulations)

Monte Carlo Distribution: Corporate Damages State Farm Constitutional-Ceiling Exposure Total (10,000 simulations)

Simulation Results Summary: Corporate Damages State Farm Constitutional-Ceiling Exposure Total

Statistic Value
Baseline (deterministic) $73.1 quadrillion
Mean (expected value) $68.2 quadrillion
Median (50th percentile) $66.9 quadrillion
Standard Deviation $19 quadrillion
90% Range (5th-95th percentile) [$39.2 quadrillion, $102 quadrillion]

The histogram shows the distribution of Corporate Damages State Farm Constitutional-Ceiling Exposure Total across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages State Farm Constitutional-Ceiling Exposure Total

Probability of Exceeding Threshold: Corporate Damages State Farm Constitutional-Ceiling Exposure Total

This exceedance probability chart shows the likelihood that Corporate Damages State Farm Constitutional-Ceiling Exposure Total will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Strict Floor Per Capita: $538,219

Strict non-duplicative corporate damages floor per living human.

Inputs:

\[ \begin{gathered} D_{corp,floor,pc} \\ = \frac{D_{corp,floor}}{Pop_{global}} \\ = \frac{\$4310T}{8B} \\ = \$538K \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Strict Floor Per Capita

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages Strict Floor Total (USD) 0.9992 Strong driver
Global Population in 2024 (of people) -0.0406 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Strict Floor Per Capita (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Strict Floor Per Capita (10,000 simulations)

Simulation Results Summary: Corporate Damages Strict Floor Per Capita

Statistic Value
Baseline (deterministic) $538,219
Mean (expected value) $482,700
Median (50th percentile) $468,459
Standard Deviation $144,437
90% Range (5th-95th percentile) [$270,512, $743,608]

The histogram shows the distribution of Corporate Damages Strict Floor Per Capita across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Strict Floor Per Capita

Probability of Exceeding Threshold: Corporate Damages Strict Floor Per Capita

This exceedance probability chart shows the likelihood that Corporate Damages Strict Floor Per Capita will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Strict Floor Total: $4.31 quadrillion

Strict non-duplicative corporate damages floor: war-death VSL, existing-drug efficacy-lag VSL, property and environmental destruction, excess military spending above the 1900 freeze, and the Pentagon FCA-style penalty increment.

Inputs:

\[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Strict Floor Total

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages War Deaths VSL (USD) 0.7308 Strong driver
Corporate Damages Efficacy Lag Deaths VSL (USD) 0.4003 Moderate driver
Corporate Damages Property Plus Environmental Destruction (USD) 0.0077 Minimal effect
Excess Military Spending Above 1900 Freeze (USD) 0.0011 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Strict Floor Total (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Strict Floor Total (10,000 simulations)

Simulation Results Summary: Corporate Damages Strict Floor Total

Statistic Value
Baseline (deterministic) $4.31 quadrillion
Mean (expected value) $3.86 quadrillion
Median (50th percentile) $3.75 quadrillion
Standard Deviation $1.15 quadrillion
90% Range (5th-95th percentile) [$2.16 quadrillion, $5.94 quadrillion]

The histogram shows the distribution of Corporate Damages Strict Floor Total across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Strict Floor Total

Probability of Exceeding Threshold: Corporate Damages Strict Floor Total

This exceedance probability chart shows the likelihood that Corporate Damages Strict Floor Total will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Treble-Style Exposure Per Capita: $2.74 million

Treble-style exposure per living human under the False Claims Act-style corporate penalty analogy.

Inputs:

\[ \begin{gathered} D_{corp,treble,pc} \\ = \frac{D_{corp,treble}}{Pop_{global}} \\ = \frac{\$21900T}{8B} \\ = \$2.74M \end{gathered} \] where: \[ \begin{gathered} D_{corp,treble} \\ = D_{corp,ask} \times m_{FCA} \\ = \$7310T \times 3 \\ = \$21900T \end{gathered} \] where: \[ \begin{gathered} D_{corp,ask} \\ = D_{corp,floor} + V_{neverdev,VSL} \\ = \$4310T + \$3000T \\ = \$7310T \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] where: \[ \begin{gathered} V_{neverdev,VSL} \\ = Deaths_{neverdev} \times VSL \\ = 300M \times \$10M \\ = \$3000T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Treble-Style Exposure Per Capita

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages Treble-Style Exposure Total (USD) 0.9992 Strong driver
Global Population in 2024 (of people) -0.0435 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Treble-Style Exposure Per Capita (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Treble-Style Exposure Per Capita (10,000 simulations)

Simulation Results Summary: Corporate Damages Treble-Style Exposure Per Capita

Statistic Value
Baseline (deterministic) $2.74 million
Mean (expected value) $2.56 million
Median (50th percentile) $2.51 million
Standard Deviation $714,940
90% Range (5th-95th percentile) [$1.47 million, $3.82 million]

The histogram shows the distribution of Corporate Damages Treble-Style Exposure Per Capita across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Treble-Style Exposure Per Capita

Probability of Exceeding Threshold: Corporate Damages Treble-Style Exposure Per Capita

This exceedance probability chart shows the likelihood that Corporate Damages Treble-Style Exposure Per Capita will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages Treble-Style Exposure Total: $21.9 quadrillion

Treble-style exposure if the prosecutor base ask is multiplied under a False Claims Act-style corporate penalty analogy.

Inputs:

\[ \begin{gathered} D_{corp,treble} \\ = D_{corp,ask} \times m_{FCA} \\ = \$7310T \times 3 \\ = \$21900T \end{gathered} \] where: \[ \begin{gathered} D_{corp,ask} \\ = D_{corp,floor} + V_{neverdev,VSL} \\ = \$4310T + \$3000T \\ = \$7310T \end{gathered} \] where: \[ \begin{gathered} D_{corp,floor} \\ = V_{war,VSL} + V_{lag,VSL} + D_{property+env} \\ + Spending_{mil,excess1900} + Penalty_{pentagon,FCA} \\ = \$3100T + \$1020T + \$50T + \$135T + \$4.92T \\ = \$4310T \end{gathered} \] where: \[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \] where: \[ \begin{gathered} V_{lag,VSL} \\ = Deaths_{lag,total} \times VSL \\ = 102M \times \$10M \\ = \$1020T \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} D_{property+env} \\ = D_{property} + D_{env} \\ = \$45T + \$5T \\ = \$50T \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] where: \[ \begin{gathered} Penalty_{pentagon,FCA} \\ = Exposure_{pentagon,FCA} - Funds_{pentagon,unaccounted} \\ = \$7.38T - \$2.46T \\ = \$4.92T \end{gathered} \] where: \[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \] where: \[ \begin{gathered} V_{neverdev,VSL} \\ = Deaths_{neverdev} \times VSL \\ = 300M \times \$10M \\ = \$3000T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages Treble-Style Exposure Total

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Corporate Damages Prosecutor Base Ask Total (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages Treble-Style Exposure Total (10,000 simulations)

Monte Carlo Distribution: Corporate Damages Treble-Style Exposure Total (10,000 simulations)

Simulation Results Summary: Corporate Damages Treble-Style Exposure Total

Statistic Value
Baseline (deterministic) $21.9 quadrillion
Mean (expected value) $20.5 quadrillion
Median (50th percentile) $20.1 quadrillion
Standard Deviation $5.71 quadrillion
90% Range (5th-95th percentile) [$11.7 quadrillion, $30.6 quadrillion]

The histogram shows the distribution of Corporate Damages Treble-Style Exposure Total across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages Treble-Style Exposure Total

Probability of Exceeding Threshold: Corporate Damages Treble-Style Exposure Total

This exceedance probability chart shows the likelihood that Corporate Damages Treble-Style Exposure Total will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Corporate Damages War Deaths VSL: $3.1 quadrillion

Corporate-defendant wrongful-death valuation for war deaths since 1900 using the standard value of a statistical life.

Inputs:

\[ \begin{gathered} V_{war,VSL} \\ = Deaths_{war,1900} \times VSL \\ = 310M \times \$10M \\ = \$3100T \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Corporate Damages War Deaths VSL

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Value of Statistical Life (USD) 0.8668 Strong driver
Total War and Conflict Deaths Since 1900 (deaths) 0.4791 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Corporate Damages War Deaths VSL (10,000 simulations)

Monte Carlo Distribution: Corporate Damages War Deaths VSL (10,000 simulations)

Simulation Results Summary: Corporate Damages War Deaths VSL

Statistic Value
Baseline (deterministic) $3.1 quadrillion
Mean (expected value) $2.67 quadrillion
Median (50th percentile) $2.58 quadrillion
Standard Deviation $844 trillion
90% Range (5th-95th percentile) [$1.43 quadrillion, $4.21 quadrillion]

The histogram shows the distribution of Corporate Damages War Deaths VSL across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Corporate Damages War Deaths VSL

Probability of Exceeding Threshold: Corporate Damages War Deaths VSL

This exceedance probability chart shows the likelihood that Corporate Damages War Deaths VSL will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Military Spending in Government Clinical Trial Years: 37,778 years

Cumulative military spending since 1913 expressed in equivalent years of government clinical trial spending ($170T / $4.5B per year)

Inputs:

\[ \begin{gathered} Years_{mil \to trials,gov} \\ = \frac{Spending_{mil,cum,fed}}{Spending_{trials,gov}} \\ = \frac{\$170T}{\$4.5B} \\ = 37{,}800 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Military Spending in Government Clinical Trial Years

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Global Government Spending on Clinical Trials (USD) -0.9789 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Military Spending in Government Clinical Trial Years (10,000 simulations)

Monte Carlo Distribution: Military Spending in Government Clinical Trial Years (10,000 simulations)

Simulation Results Summary: Military Spending in Government Clinical Trial Years

Statistic Value
Baseline (deterministic) 37,778
Mean (expected value) 39,668
Median (50th percentile) 38,840
Standard Deviation 7,844
90% Range (5th-95th percentile) [28,333, 55,502]

The histogram shows the distribution of Military Spending in Government Clinical Trial Years across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Military Spending in Government Clinical Trial Years

Probability of Exceeding Threshold: Military Spending in Government Clinical Trial Years

This exceedance probability chart shows the likelihood that Military Spending in Government Clinical Trial Years will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Combination Therapy Exploration Time (Current): 13.7 million years

Years to test all pairwise drug combinations at current trial capacity. Combination therapy is standard in oncology, HIV, cardiology.

Inputs:

\[ \begin{gathered} T_{explore,combo} \\ = \frac{Space_{combo}}{Trials_{ann,curr}} \\ = \frac{45.1B}{3{,}300} \\ = 13.7M \end{gathered} \] where: \[ \begin{gathered} Space_{combo} \\ = N_{combo} \times N_{diseases,trial} \\ = 45.1M \times 1{,}000 \\ = 45.1B \end{gathered} \] where: \[ N_{combo} = \frac{N_{safe} \cdot (N_{safe} - 1)}{2} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Combination Therapy Exploration Time (Current)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Combination Therapy Space (combinations) 0.9556 Strong driver
Current Global Clinical Trials per Year (trials/year) -0.2867 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Combination Therapy Exploration Time (Current) (10,000 simulations)

Monte Carlo Distribution: Combination Therapy Exploration Time (Current) (10,000 simulations)

Simulation Results Summary: Combination Therapy Exploration Time (Current)

Statistic Value
Baseline (deterministic) 13.7 million
Mean (expected value) 14.1 million
Median (50th percentile) 13.5 million
Standard Deviation 4.76 million
90% Range (5th-95th percentile) [7.45 million, 22.6 million]

The histogram shows the distribution of Combination Therapy Exploration Time (Current) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Combination Therapy Exploration Time (Current)

Probability of Exceeding Threshold: Combination Therapy Exploration Time (Current)

This exceedance probability chart shows the likelihood that Combination Therapy Exploration Time (Current) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Known Safe Exploration Time (Current): 2,879 years

Years to test all known safe drug-disease combinations at current global trial capacity

Inputs:

\[ \begin{gathered} T_{explore,safe} \\ = \frac{N_{combos}}{Trials_{ann,curr}} \\ = \frac{9.5M}{3{,}300} \\ = 2{,}880 \end{gathered} \] where: \[ \begin{gathered} N_{combos} \\ = N_{safe} \times N_{diseases,trial} \\ = 9{,}500 \times 1{,}000 \\ = 9.5M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Known Safe Exploration Time (Current)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Possible Drug-Disease Combinations (combinations) 0.8940 Strong driver
Current Global Clinical Trials per Year (trials/year) -0.4473 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Known Safe Exploration Time (Current) (10,000 simulations)

Monte Carlo Distribution: Known Safe Exploration Time (Current) (10,000 simulations)

Simulation Results Summary: Known Safe Exploration Time (Current)

Statistic Value
Baseline (deterministic) 2,879
Mean (expected value) 2,904
Median (50th percentile) 2,843
Standard Deviation 628
90% Range (5th-95th percentile) [1,976, 4,041]

The histogram shows the distribution of Known Safe Exploration Time (Current) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Known Safe Exploration Time (Current)

Probability of Exceeding Threshold: Known Safe Exploration Time (Current)

This exceedance probability chart shows the likelihood that Known Safe Exploration Time (Current) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Current Patient Participation Rate in Clinical Trials: 0.0792%

Current patient participation rate in clinical trials (0.08% = 1.9M participants / 2.4B disease patients)

Inputs:

\[ \begin{gathered} Rate_{part} \\ = \frac{Slots_{curr}}{N_{patients}} \\ = \frac{1.9M}{2.4B} \\ = 0.0792\% \end{gathered} \]

Methodology:18

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Current Patient Participation Rate in Clinical Trials

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Global Clinical Trial Participants (patients/year) 0.7814 Strong driver
Global Population with Chronic Diseases (people) -0.6138 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Current Patient Participation Rate in Clinical Trials (10,000 simulations)

Monte Carlo Distribution: Current Patient Participation Rate in Clinical Trials (10,000 simulations)

Simulation Results Summary: Current Patient Participation Rate in Clinical Trials

Statistic Value
Baseline (deterministic) 0.0792%
Mean (expected value) 0.0795%
Median (50th percentile) 0.0789%
Standard Deviation 0.0104%
90% Range (5th-95th percentile) [0.0631%, 0.0975%]

The histogram shows the distribution of Current Patient Participation Rate in Clinical Trials across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Current Patient Participation Rate in Clinical Trials

Probability of Exceeding Threshold: Current Patient Participation Rate in Clinical Trials

This exceedance probability chart shows the likelihood that Current Patient Participation Rate in Clinical Trials will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Current Trajectory Average Income at Year 15: $18,714

Average income (GDP per capita) at year 15 under current trajectory.

Inputs:

\[ \begin{gathered} \bar{y}_{base,15} \\ = \frac{GDP_{base,15}}{Pop_{2040}} \\ = \frac{\$167T}{8.9B} \\ = \$18.7K \end{gathered} \] where: \[ GDP_{base,15} = GDP_{global} \times (1 + g_{base})^{15} \] #### Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Current Trajectory Average Income at Year 15 is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.871e-08)

Statistic Value
Baseline (deterministic) $18,714
Mean (expected value) $18,714
Median (50th percentile) $18,714
Standard Deviation $3.64e-12
90% Range (5th-95th percentile) [$18,714, $18,714]

Exceedance Probability

Exceedance note: Current Trajectory Average Income at Year 15 collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.871e-08)

Approximate deterministic value: $18,714

Current Trajectory Average Income at Year 20: $20,483

Average income (GDP per capita) at year 20 under current trajectory trajectory.

Inputs:

\[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] #### Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Current Trajectory Average Income at Year 20 is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 2.048e-08)

Statistic Value
Baseline (deterministic) $20,483
Mean (expected value) $20,483
Median (50th percentile) $20,483
Standard Deviation $3.64e-12
90% Range (5th-95th percentile) [$20,483, $20,483]

Exceedance Probability

Exceedance note: Current Trajectory Average Income at Year 20 collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 2.048e-08)

Approximate deterministic value: $20,483

Current Trajectory Cumulative Lifetime Income (Per Capita): $903,908

Cumulative per-capita income over an average remaining lifespan under current trajectory baseline trajectory. Uses the implied per-capita baseline CAGR from 2025 to 2045.

Inputs:

\[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Current Trajectory Cumulative Lifetime Income (Per Capita)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Average Remaining Years (Median Person) (years) 0.9882 Strong driver
Global Average Income (2025 Baseline) (USD) -0.0400 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Current Trajectory Cumulative Lifetime Income (Per Capita) (10,000 simulations)

Monte Carlo Distribution: Current Trajectory Cumulative Lifetime Income (Per Capita) (10,000 simulations)

Simulation Results Summary: Current Trajectory Cumulative Lifetime Income (Per Capita)

Statistic Value
Baseline (deterministic) $903,908
Mean (expected value) $917,975
Median (50th percentile) $907,227
Standard Deviation $59,848
90% Range (5th-95th percentile) [$815,233, $1.03 million]

The histogram shows the distribution of Current Trajectory Cumulative Lifetime Income (Per Capita) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Current Trajectory Cumulative Lifetime Income (Per Capita)

Probability of Exceeding Threshold: Current Trajectory Cumulative Lifetime Income (Per Capita)

This exceedance probability chart shows the likelihood that Current Trajectory Cumulative Lifetime Income (Per Capita) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Current Trajectory GDP at Year 15: $167 trillion

Global GDP at year 15 under status-quo current trajectory growth.

Inputs:

\[ GDP_{base,15} = GDP_{global} \times (1 + g_{base})^{15} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Current Trajectory GDP at Year 15 is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.666e+02)

Statistic Value
Baseline (deterministic) $167 trillion
Mean (expected value) $167 trillion
Median (50th percentile) $167 trillion
Standard Deviation $0.031
90% Range (5th-95th percentile) [$167 trillion, $167 trillion]

Exceedance Probability

Exceedance note: Current Trajectory GDP at Year 15 collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.666e+02)

Approximate deterministic value: $167 trillion

Current Trajectory GDP at Year 20: $188 trillion

Global GDP at year 20 under status-quo current trajectory growth.

Inputs:

\[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Current Trajectory GDP at Year 20 is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.884e+02)

Statistic Value
Baseline (deterministic) $188 trillion
Mean (expected value) $188 trillion
Median (50th percentile) $188 trillion
Standard Deviation $0.031
90% Range (5th-95th percentile) [$188 trillion, $188 trillion]

Exceedance Probability

Exceedance note: Current Trajectory GDP at Year 20 collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.884e+02)

Approximate deterministic value: $188 trillion

Median After-Tax Consumable Income, Status Quo (Year 20): $3,033

Median after-tax consumable income at year 20 under the status quo: the world more or less as trended. Mean income grows at the baseline rate, the military share drifts up at its measured SIPRI-vs-GDP differential, the median’s share holds (best guess zero erosion, range covers both directions), so the median grows roughly with GDP per capita. v1’s compounding destructive share and assumed erosion made the median mysteriously die against 35 years of contrary observed history; that branch is gone. The collapse scenario (extraction crosses the rational-crime threshold and GDP craters with the median) is narrated separately, not smuggled into this baseline.

Inputs:

\[ \begin{gathered} \tilde{m}_{base,20} \\ = \bar{y}_{base,20} \times (1 - s_{mil} \times \left(\frac{1+g_{mil,10yr}}{1+g_{base}}\right)^{20}) \times \rho_{med} \times (1 - e_{med})^{20} \times (1 - \tau_{med}) \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} s_{mil} \\ = \frac{Spending_{mil}}{GDP_{global}} \\ = \frac{\$2.72T}{\$115T} \\ = 2.37\% \end{gathered} \] where: \[ \begin{gathered} \rho_{med} \\ = \frac{\tilde{y}_{gallup}}{\bar{y}_{0}} \\ = \frac{\$2.92K}{\$14.4K} \\ = 0.203 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Median After-Tax Consumable Income, Status Quo (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Median-to-Mean Income Ratio (ratio) 0.8841 Strong driver
Median Share Erosion Rate (Annual) (rate) -0.4671 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Median After-Tax Consumable Income, Status Quo (Year 20) (10,000 simulations)

Monte Carlo Distribution: Median After-Tax Consumable Income, Status Quo (Year 20) (10,000 simulations)

Simulation Results Summary: Median After-Tax Consumable Income, Status Quo (Year 20)

Statistic Value
Baseline (deterministic) $3,033
Mean (expected value) $3,031
Median (50th percentile) $3,017
Standard Deviation $399
90% Range (5th-95th percentile) [$2,402, $3,716]

The histogram shows the distribution of Median After-Tax Consumable Income, Status Quo (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Median After-Tax Consumable Income, Status Quo (Year 20)

Probability of Exceeding Threshold: Median After-Tax Consumable Income, Status Quo (Year 20)

This exceedance probability chart shows the likelihood that Median After-Tax Consumable Income, Status Quo (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Military Activist-Stake Cost (Realistic Entry): $48.4 billion

Realistic entry cost: capital to take an activist (non-control) equity position across all major Western military contractors, bought near market price with no control premium. Board influence comes from the financial argument plus the index-fund votes, not from outright control. This capital buys shares the fund keeps, so the true net cost is far lower than this gross figure. Contrast with the buy-outright ceiling (DEFENSE_TAKEOVER_COST_TOTAL).

Inputs:

\[ \begin{gathered} C_{activist} \\ = f_{activist} \times (MarketCap_{US} + MarketCap_{allied}) \\ = 0.05 \times (\$836B + \$132B) \\ = \$48.4B \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Monte Carlo Distribution

Monte Carlo note: Military Activist-Stake Cost (Realistic Entry) is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 4.840e-02)

Statistic Value
Baseline (deterministic) $48.4 billion
Mean (expected value) $48.4 billion
Median (50th percentile) $48.4 billion
Standard Deviation $0
90% Range (5th-95th percentile) [$48.4 billion, $48.4 billion]

Exceedance Probability

Exceedance note: Military Activist-Stake Cost (Realistic Entry) collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 4.840e-02)

Approximate deterministic value: $48.4 billion

Military Activist-Stake Cost as Share of Global Investable Assets: 0.0159%

Activist-stake entry cost across the defense primes as a share of total global investable assets. The realistic-path floor of the cost-in-context range, well below the buy-outright ceiling.

Inputs:

\[ \begin{gathered} C_{activist}/A_{investable} \\ = \frac{C_{activist}}{Assets_{invest}} \\ = \frac{\$48.4B}{\$305T} \\ = 0.0159\% \end{gathered} \] where: \[ \begin{gathered} C_{activist} \\ = f_{activist} \times (MarketCap_{US} + MarketCap_{allied}) \\ = 0.05 \times (\$836B + \$132B) \\ = \$48.4B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Monte Carlo Distribution

Monte Carlo note: Military Activist-Stake Cost as Share of Global Investable Assets is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 0.0159%
Mean (expected value) 0.0159%
Median (50th percentile) 0.0159%
Standard Deviation 2.71e-18%
90% Range (5th-95th percentile) [0.0159%, 0.0159%]

Exceedance Probability

Exceedance note: Military Activist-Stake Cost as Share of Global Investable Assets collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 0.0159%

Military Takeover Cost per Human: $109

Per-person cost of the military takeover distributed across global population

Inputs:

\[ \begin{gathered} C_{takeover,pp} \\ = \frac{C_{takeover}}{Pop_{global}} \\ = \frac{\$873B}{8B} \\ = \$109 \end{gathered} \] where: \[ \begin{gathered} C_{takeover} \\ = (MarketCap_{US} \\ + MarketCap_{allied}) \times f_{control} \times m_{premium} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Military Takeover Cost per Human

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Population in 2024 (of people) -0.9999 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Military Takeover Cost per Human (10,000 simulations)

Monte Carlo Distribution: Military Takeover Cost per Human (10,000 simulations)

Simulation Results Summary: Military Takeover Cost per Human

Statistic Value
Baseline (deterministic) $109
Mean (expected value) $109
Median (50th percentile) $109
Standard Deviation $1.33
90% Range (5th-95th percentile) [$107, $111]

The histogram shows the distribution of Military Takeover Cost per Human across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Military Takeover Cost per Human

Probability of Exceeding Threshold: Military Takeover Cost per Human

This exceedance probability chart shows the likelihood that Military Takeover Cost per Human will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Military Takeover Cost (Outright-Control Ceiling): $873 billion

UPPER-BOUND cost to acquire outright controlling stakes (50.1%) in all major Western military contractors, including the acquisition premium. This is the buy-it-outright ceiling, not the expected entry cost: the realistic path is an activist stake (DEFENSE_TAKEOVER_COST_ACTIVIST) plus index-fund votes, which costs far less. Headline only as a worst case.

Inputs:

\[ \begin{gathered} C_{takeover} \\ = (MarketCap_{US} \\ + MarketCap_{allied}) \times f_{control} \times m_{premium} \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Monte Carlo Distribution

Monte Carlo note: Military Takeover Cost (Outright-Control Ceiling) is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 8.729e-01)

Statistic Value
Baseline (deterministic) $873 billion
Mean (expected value) $873 billion
Median (50th percentile) $873 billion
Standard Deviation $0
90% Range (5th-95th percentile) [$873 billion, $873 billion]

Exceedance Probability

Exceedance note: Military Takeover Cost (Outright-Control Ceiling) collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 8.729e-01)

Approximate deterministic value: $873 billion

Military Takeover Cost as Share of Global Investable Assets: 0.286%

Cost to acquire controlling stakes in all major Western military contractors, expressed as a share of total global investable assets. The affordability framing: the entire takeover is a rounding error against the world’s investable wealth.

Inputs:

\[ \begin{gathered} C_{takeover}/A_{investable} \\ = \frac{C_{takeover}}{Assets_{invest}} \\ = \frac{\$873B}{\$305T} \\ = 0.286\% \end{gathered} \] where: \[ \begin{gathered} C_{takeover} \\ = (MarketCap_{US} \\ + MarketCap_{allied}) \times f_{control} \times m_{premium} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Monte Carlo Distribution

Monte Carlo note: Military Takeover Cost as Share of Global Investable Assets is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 0.286%
Mean (expected value) 0.286%
Median (50th percentile) 0.286%
Standard Deviation 0%
90% Range (5th-95th percentile) [0.286%, 0.286%]

Exceedance Probability

Exceedance note: Military Takeover Cost as Share of Global Investable Assets collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 0.286%

Year Destructive Economy Reaches 25% of GDP: 2033

Calendar year when the destructive economy (military + cybercrime) reaches 25% of GDP at current growth rates. Historical precedent suggests societies become unstable when extraction rates exceed 20-30% of economic output.

Inputs:

\[ \begin{gathered} Y_{25\%} \\ = Y_0 \\ + \frac{\ln\left(0.25 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Year Destructive Economy Reaches 25% of GDP is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 2.033e-09)

Statistic Value
Baseline (deterministic) 2033
Mean (expected value) 2033
Median (50th percentile) 2033
Standard Deviation 0
90% Range (5th-95th percentile) [2033, 2033]

Exceedance Probability

Exceedance note: Year Destructive Economy Reaches 25% of GDP collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 2.033e-09)

Approximate deterministic value: 2033

Year Destructive Economy Reaches 35% of GDP (Terminal Parasitic Load): 2037

Calendar year when the destructive economy (military + cybercrime) reaches 35% of GDP at current growth rates. Historical evidence from the Soviet Union, Yugoslavia, Argentina, and Zimbabwe shows that total extractive burdens of 35-45% consistently trigger self-reinforcing death spirals. This is the empirically-derived terminal parasitic load threshold.

Inputs:

\[ \begin{gathered} Y_{35\%} \\ = Y_0 \\ + \frac{\ln\left(0.35 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Year Destructive Economy Reaches 35% of GDP (Terminal Parasitic Load) is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 2.037e-09)

Statistic Value
Baseline (deterministic) 2037
Mean (expected value) 2037
Median (50th percentile) 2037
Standard Deviation 0
90% Range (5th-95th percentile) [2037, 2037]

Exceedance Probability

Exceedance note: Year Destructive Economy Reaches 35% of GDP (Terminal Parasitic Load) collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 2.037e-09)

Approximate deterministic value: 2037

Year Destructive Economy Reaches 50% of GDP: 2040

Calendar year when the destructive economy (military + cybercrime) reaches 50% of GDP at current growth rates. At that point, half of all economic activity is destructive, so stealing starts to beat creating for individuals, firms, and states because whatever gets created gets looted fast enough to kill productive investment.

Inputs:

\[ \begin{gathered} Y_{50\%} \\ = Y_0 \\ + \frac{\ln\left(0.50 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Year Destructive Economy Reaches 50% of GDP is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 2.040e-09)

Statistic Value
Baseline (deterministic) 2040
Mean (expected value) 2040
Median (50th percentile) 2040
Standard Deviation 0
90% Range (5th-95th percentile) [2040, 2040]

Exceedance Probability

Exceedance note: Year Destructive Economy Reaches 50% of GDP collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 2.040e-09)

Approximate deterministic value: 2040

Total Annual Pragmatic Trial Platform Operational Costs: $40 million

Total annual pragmatic trial platform operational costs (sum of all components: platform + staff + infra + regulatory + community)

Inputs:

\[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total Annual Pragmatic Trial Platform Operational Costs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Platform Maintenance Costs (USD/year) 0.7128 Strong driver
Pragmatic Trial Platform Staff Costs (USD/year) 0.4775 Moderate driver
Pragmatic Trial Platform Infrastructure Costs (USD/year) 0.4127 Moderate driver
Pragmatic Trial Platform Regulatory Coordination Costs (USD/year) 0.2936 Weak driver
Pragmatic Trial Platform Community Support Costs (USD/year) 0.1156 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Annual Pragmatic Trial Platform Operational Costs (10,000 simulations)

Monte Carlo Distribution: Total Annual Pragmatic Trial Platform Operational Costs (10,000 simulations)

Simulation Results Summary: Total Annual Pragmatic Trial Platform Operational Costs

Statistic Value
Baseline (deterministic) $40 million
Mean (expected value) $39.9 million
Median (50th percentile) $39.7 million
Standard Deviation $4.09 million
90% Range (5th-95th percentile) [$33.5 million, $47.1 million]

The histogram shows the distribution of Total Annual Pragmatic Trial Platform Operational Costs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Annual Pragmatic Trial Platform Operational Costs

Probability of Exceeding Threshold: Total Annual Pragmatic Trial Platform Operational Costs

This exceedance probability chart shows the likelihood that Total Annual Pragmatic Trial Platform Operational Costs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual R&D Savings from Pragmatic Trials: $58.6 billion

Annual benefit from pragmatic trial R&D savings (trial cost reduction, secondary component)

Inputs:

\[ \begin{gathered} Benefit_{RD,ann} \\ = Spending_{trials} \times Reduce_{pct} \\ = \$60B \times 97.7\% \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Reduce_{pct} \\ = 1 - \frac{Cost_{pragmatic,pt}}{Cost_{P3,pt}} \\ = 1 - \frac{\$929}{\$41K} \\ = 97.7\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual R&D Savings from Pragmatic Trials

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Global Spending on Clinical Trials (USD) 0.9809 Strong driver
Pragmatic Trial Cost Reduction Percentage (percentage) 0.1871 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual R&D Savings from Pragmatic Trials (10,000 simulations)

Monte Carlo Distribution: Annual R&D Savings from Pragmatic Trials (10,000 simulations)

Simulation Results Summary: Annual R&D Savings from Pragmatic Trials

Statistic Value
Baseline (deterministic) $58.6 billion
Mean (expected value) $58.5 billion
Median (50th percentile) $57.6 billion
Standard Deviation $7.97 billion
90% Range (5th-95th percentile) [$48.1 billion, $73.1 billion]

The histogram shows the distribution of Annual R&D Savings from Pragmatic Trials across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual R&D Savings from Pragmatic Trials

Probability of Exceeding Threshold: Annual R&D Savings from Pragmatic Trials

This exceedance probability chart shows the likelihood that Annual R&D Savings from Pragmatic Trials will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Direct Pragmatic Trial Funding Cost per DALY: $0.842

Cost per DALY at direct funding level for the therapeutic space exploration period. Still highly cost-effective vs bed nets.

Inputs:

\[ \begin{gathered} Cost_{direct,DALY} \\ = \frac{NPV_{direct}}{DALYs_{max}} \\ = \frac{\$476B}{565B} \\ = \$0.842 \end{gathered} \] where: \[ \begin{gathered} NPV_{direct} \\ = \frac{T_{queue,trial}}{Funding_{trial,ref} \times r_{discount}} \\ = \frac{36}{\$21.8B \times 3\%} \\ = \$476B \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Direct Pragmatic Trial Funding Cost per DALY

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Direct Pragmatic Trial Funding NPV (Exploration Period) (USD) 0.7920 Strong driver
Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (DALYs) -0.7046 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Direct Pragmatic Trial Funding Cost per DALY (10,000 simulations)

Monte Carlo Distribution: Direct Pragmatic Trial Funding Cost per DALY (10,000 simulations)

Simulation Results Summary: Direct Pragmatic Trial Funding Cost per DALY

Statistic Value
Baseline (deterministic) $0.842
Mean (expected value) $0.742
Median (50th percentile) $0.662
Standard Deviation $0.395
90% Range (5th-95th percentile) [$0.264, $1.49]

The histogram shows the distribution of Direct Pragmatic Trial Funding Cost per DALY across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Direct Pragmatic Trial Funding Cost per DALY

Probability of Exceeding Threshold: Direct Pragmatic Trial Funding Cost per DALY

This exceedance probability chart shows the likelihood that Direct Pragmatic Trial Funding Cost per DALY will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Direct Pragmatic Trial Funding NPV (Exploration Period): $476 billion

NPV of annual direct funding for the therapeutic space exploration period. Funding period equals exploration time (queue clearance years at given capacity multiplier). After exploration completes, the full timeline shift benefit is realized.

Inputs:

\[ \begin{gathered} NPV_{direct} \\ = \frac{T_{queue,trial}}{Funding_{trial,ref} \times r_{discount}} \\ = \frac{36}{\$21.8B \times 3\%} \\ = \$476B \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Direct Pragmatic Trial Funding NPV (Exploration Period)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity (years) 0.8645 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Direct Pragmatic Trial Funding NPV (Exploration Period) (10,000 simulations)

Monte Carlo Distribution: Direct Pragmatic Trial Funding NPV (Exploration Period) (10,000 simulations)

Simulation Results Summary: Direct Pragmatic Trial Funding NPV (Exploration Period)

Statistic Value
Baseline (deterministic) $476 billion
Mean (expected value) $425 billion
Median (50th percentile) $423 billion
Standard Deviation $169 billion
90% Range (5th-95th percentile) [$156 billion, $695 billion]

The histogram shows the distribution of Direct Pragmatic Trial Funding NPV (Exploration Period) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Direct Pragmatic Trial Funding NPV (Exploration Period)

Probability of Exceeding Threshold: Direct Pragmatic Trial Funding NPV (Exploration Period)

This exceedance probability chart shows the likelihood that Direct Pragmatic Trial Funding NPV (Exploration Period) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Direct Funding ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput: 178 thousand:1

ROI from directly funding pragmatic clinical trials over the therapeutic space exploration period.

Inputs:

\[ \begin{gathered} ROI_{direct,max} \\ = \frac{Value_{max}}{NPV_{direct}} \\ = \frac{\$84800T}{\$476B} \\ = 178{,}000 \end{gathered} \] where: \[ \begin{gathered} Value_{max} \\ = DALYs_{max} \times Value_{QALY} \\ = 565B \times \$150K \\ = \$84800T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} NPV_{direct} \\ = \frac{T_{queue,trial}}{Funding_{trial,ref} \times r_{discount}} \\ = \frac{36}{\$21.8B \times 3\%} \\ = \$476B \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Direct Funding ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Direct Pragmatic Trial Funding NPV (Exploration Period) (USD) -0.7627 Strong driver
Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (USD) 0.6139 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Direct Funding ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput (10,000 simulations)

Monte Carlo Distribution: Direct Funding ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput (10,000 simulations)

Simulation Results Summary: Direct Funding ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput

Statistic Value
Baseline (deterministic) 178 thousand:1
Mean (expected value) 265 thousand:1
Median (50th percentile) 223 thousand:1
Standard Deviation 168 thousand:1
90% Range (5th-95th percentile) [92 thousand:1, 575 thousand:1]

The histogram shows the distribution of Direct Funding ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Direct Funding ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput

Probability of Exceeding Threshold: Direct Funding ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput

This exceedance probability chart shows the likelihood that Direct Funding ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total DALYs Lost from Disease Eradication Delay: 8.77 billion DALYs

Total Disability-Adjusted Life Years lost from disease eradication delay (PRIMARY estimate)

Inputs:

\[ DALYs_{lag} = YLL_{lag} + YLD_{lag} = 7.9B + 873M = 8.77B \] where: \[ \begin{gathered} YLL_{lag} \\ = \text{DEATHS\_TOTAL} \times (REMAINING_LIFE_EXPECTANCY_AT_60 - (\text{MEAN\_AGE\_OF\_DEATH} - 60)) \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag} \\ = T_{lag} \times Deaths_{disease,daily} \times 338 \\ = 8.2 \times 150{,}000 \times 338 \\ = 416M \end{gathered} \] where: \[ \begin{gathered} YLD_{lag} \\ = Deaths_{lag} \times T_{suffering} \times DW_{chronic} \\ = 416M \times 6 \times 0.35 \\ = 873M \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Total DALYs Lost from Disease Eradication Delay

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Years of Life Lost from Disease Eradication Delay (years) 0.9243 Strong driver
Years Lived with Disability During Disease Eradication Delay (years) 0.1328 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total DALYs Lost from Disease Eradication Delay (10,000 simulations)

Monte Carlo Distribution: Total DALYs Lost from Disease Eradication Delay (10,000 simulations)

Simulation Results Summary: Total DALYs Lost from Disease Eradication Delay

Statistic Value
Baseline (deterministic) 8.77 billion
Mean (expected value) 8.78 billion
Median (50th percentile) 8.61 billion
Standard Deviation 2.55 billion
90% Range (5th-95th percentile) [4.88 billion, 13.2 billion]

The histogram shows the distribution of Total DALYs Lost from Disease Eradication Delay across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total DALYs Lost from Disease Eradication Delay

Probability of Exceeding Threshold: Total DALYs Lost from Disease Eradication Delay

This exceedance probability chart shows the likelihood that Total DALYs Lost from Disease Eradication Delay will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Deaths from Disease Eradication Delay: 416 million deaths

Total eventually avoidable deaths from delaying disease eradication by 8.2 years (PRIMARY estimate, conservative). Excludes fundamentally unavoidable deaths (primarily accidents ~7.9%).

Inputs:

\[ \begin{gathered} Deaths_{lag} \\ = T_{lag} \times Deaths_{disease,daily} \times 338 \\ = 8.2 \times 150{,}000 \times 338 \\ = 416M \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Total Deaths from Disease Eradication Delay

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Regulatory Delay for Efficacy Testing Post-Safety Verification (years) 0.9809 Strong driver
Global Daily Deaths from Disease and Aging (deaths/day) 0.2015 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Deaths from Disease Eradication Delay (10,000 simulations)

Monte Carlo Distribution: Total Deaths from Disease Eradication Delay (10,000 simulations)

Simulation Results Summary: Total Deaths from Disease Eradication Delay

Statistic Value
Baseline (deterministic) 416 million
Mean (expected value) 416 million
Median (50th percentile) 414 million
Standard Deviation 103 million
90% Range (5th-95th percentile) [244 million, 587 million]

The histogram shows the distribution of Total Deaths from Disease Eradication Delay across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Deaths from Disease Eradication Delay

Probability of Exceeding Threshold: Total Deaths from Disease Eradication Delay

This exceedance probability chart shows the likelihood that Total Deaths from Disease Eradication Delay will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Economic Loss from Disease Eradication Delay: $1.32 quadrillion

Total economic loss from delaying disease eradication by 8.2 years (PRIMARY estimate, 2024 USD). Values global DALYs at standardized US/International normative rate ($150k) rather than local ability-to-pay, representing the full human capital loss.

Inputs:

\[ \begin{gathered} Value_{lag} \\ = DALYs_{lag} \times Value_{QALY} \\ = 8.77B \times \$150K \\ = \$1320T \end{gathered} \] where: \[ DALYs_{lag} = YLL_{lag} + YLD_{lag} = 7.9B + 873M = 8.77B \] where: \[ \begin{gathered} YLL_{lag} \\ = \text{DEATHS\_TOTAL} \times (REMAINING_LIFE_EXPECTANCY_AT_60 - (\text{MEAN\_AGE\_OF\_DEATH} - 60)) \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag} \\ = T_{lag} \times Deaths_{disease,daily} \times 338 \\ = 8.2 \times 150{,}000 \times 338 \\ = 416M \end{gathered} \] where: \[ \begin{gathered} YLD_{lag} \\ = Deaths_{lag} \times T_{suffering} \times DW_{chronic} \\ = 416M \times 6 \times 0.35 \\ = 873M \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Total Economic Loss from Disease Eradication Delay

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total DALYs Lost from Disease Eradication Delay (DALYs) 0.8449 Strong driver
Standard Economic Value per QALY (USD/QALY) 0.5305 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Economic Loss from Disease Eradication Delay (10,000 simulations)

Monte Carlo Distribution: Total Economic Loss from Disease Eradication Delay (10,000 simulations)

Simulation Results Summary: Total Economic Loss from Disease Eradication Delay

Statistic Value
Baseline (deterministic) $1.32 quadrillion
Mean (expected value) $1.31 quadrillion
Median (50th percentile) $1.26 quadrillion
Standard Deviation $452 trillion
90% Range (5th-95th percentile) [$676 trillion, $2.14 quadrillion]

The histogram shows the distribution of Total Economic Loss from Disease Eradication Delay across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Economic Loss from Disease Eradication Delay

Probability of Exceeding Threshold: Total Economic Loss from Disease Eradication Delay

This exceedance probability chart shows the likelihood that Total Economic Loss from Disease Eradication Delay will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Years Lived with Disability During Disease Eradication Delay: 873 million years

Years Lived with Disability during disease eradication delay (PRIMARY estimate)

Inputs:

\[ \begin{gathered} YLD_{lag} \\ = Deaths_{lag} \times T_{suffering} \times DW_{chronic} \\ = 416M \times 6 \times 0.35 \\ = 873M \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag} \\ = T_{lag} \times Deaths_{disease,daily} \times 338 \\ = 8.2 \times 150{,}000 \times 338 \\ = 416M \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Years Lived with Disability During Disease Eradication Delay

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Deaths from Disease Eradication Delay (deaths) 0.6338 Strong driver
Pre-Death Suffering Period During Post-Safety Efficacy Delay (years) 0.5588 Strong driver
Disability Weight for Untreated Chronic Conditions (weight) 0.5016 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Years Lived with Disability During Disease Eradication Delay (10,000 simulations)

Monte Carlo Distribution: Years Lived with Disability During Disease Eradication Delay (10,000 simulations)

Simulation Results Summary: Years Lived with Disability During Disease Eradication Delay

Statistic Value
Baseline (deterministic) 873 million
Mean (expected value) 875 million
Median (50th percentile) 825 million
Standard Deviation 338 million
90% Range (5th-95th percentile) [418 million, 1.5 billion]

The histogram shows the distribution of Years Lived with Disability During Disease Eradication Delay across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Years Lived with Disability During Disease Eradication Delay

Probability of Exceeding Threshold: Years Lived with Disability During Disease Eradication Delay

This exceedance probability chart shows the likelihood that Years Lived with Disability During Disease Eradication Delay will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Years of Life Lost from Disease Eradication Delay: 7.9 billion years

Years of Life Lost from disease eradication delay deaths (PRIMARY estimate). Years lost per death = WHO conditional remaining life expectancy at 60, adjusted down to the mean lag-death age of 62 (~19 years/death). Replaces life-expectancy-at-birth minus age, which mixed an at-birth measure (carrying child mortality the deceased already survived) with a conditional question and understated the loss by ~40%. The linear age adjustment slightly understates remaining years (conditional life expectancy falls by less than one year per year of age).

Inputs:

\[ \begin{gathered} YLL_{lag} \\ = \text{DEATHS\_TOTAL} \times (REMAINING_LIFE_EXPECTANCY_AT_60 - (\text{MEAN\_AGE\_OF\_DEATH} - 60)) \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag} \\ = T_{lag} \times Deaths_{disease,daily} \times 338 \\ = 8.2 \times 150{,}000 \times 338 \\ = 416M \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Years of Life Lost from Disease Eradication Delay

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Deaths from Disease Eradication Delay (deaths) 0.8307 Strong driver
Mean Age of Preventable Death from Post-Safety Efficacy Delay (years) -0.5276 Strong driver
Remaining Life Expectancy at Age 60 (Global) (years) 0.1031 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Years of Life Lost from Disease Eradication Delay (10,000 simulations)

Monte Carlo Distribution: Years of Life Lost from Disease Eradication Delay (10,000 simulations)

Simulation Results Summary: Years of Life Lost from Disease Eradication Delay

Statistic Value
Baseline (deterministic) 7.9 billion
Mean (expected value) 7.9 billion
Median (50th percentile) 7.73 billion
Standard Deviation 2.35 billion
90% Range (5th-95th percentile) [4.34 billion, 12 billion]

The histogram shows the distribution of Years of Life Lost from Disease Eradication Delay across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Years of Life Lost from Disease Eradication Delay

Probability of Exceeding Threshold: Years of Life Lost from Disease Eradication Delay

This exceedance probability chart shows the likelihood that Years of Life Lost from Disease Eradication Delay will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

New Treatments Per Year at Treaty-Scale Trial Capacity: 185 diseases/year

Diseases per year receiving their first effective treatment with treaty-scale pragmatic trial capacity. Scales proportionally with trial capacity multiplier.

Inputs:

\[ \begin{gathered} Treatments_{trial,ann} \\ = Treatments_{new,ann} \times k_{capacity} \\ = 15 \times 12.3 \\ = 185 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for New Treatments Per Year at Treaty-Scale Trial Capacity

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding (x) 0.8722 Strong driver
Diseases Getting First Treatment Per Year (diseases/year) 0.3967 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: New Treatments Per Year at Treaty-Scale Trial Capacity (10,000 simulations)

Monte Carlo Distribution: New Treatments Per Year at Treaty-Scale Trial Capacity (10,000 simulations)

Simulation Results Summary: New Treatments Per Year at Treaty-Scale Trial Capacity

Statistic Value
Baseline (deterministic) 185
Mean (expected value) 306
Median (50th percentile) 226
Standard Deviation 270
90% Range (5th-95th percentile) [63.8, 816]

The histogram shows the distribution of New Treatments Per Year at Treaty-Scale Trial Capacity across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: New Treatments Per Year at Treaty-Scale Trial Capacity

Probability of Exceeding Threshold: New Treatments Per Year at Treaty-Scale Trial Capacity

This exceedance probability chart shows the likelihood that New Treatments Per Year at Treaty-Scale Trial Capacity will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Known Safe Exploration Time at Treaty-Scale Trial Capacity: 234 years

Years to test all known safe drug-disease combinations with treaty-scale pragmatic trial capacity

Inputs:

\[ \begin{gathered} T_{safe,trial} \\ = \frac{N_{combos}}{Capacity_{trials}} \\ = \frac{9.5M}{40{,}700} \\ = 234 \end{gathered} \] where: \[ \begin{gathered} N_{combos} \\ = N_{safe} \times N_{diseases,trial} \\ = 9{,}500 \times 1{,}000 \\ = 9.5M \end{gathered} \] where: \[ \begin{gathered} Capacity_{trials} \\ = Trials_{ann,curr} \times k_{capacity} \\ = 3{,}300 \times 12.3 \\ = 40{,}700 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Known Safe Exploration Time at Treaty-Scale Trial Capacity

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Maximum Trials per Year at Treaty-Scale Trial Capacity (trials/year) -0.6387 Strong driver
Possible Drug-Disease Combinations (combinations) 0.2582 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Known Safe Exploration Time at Treaty-Scale Trial Capacity (10,000 simulations)

Monte Carlo Distribution: Known Safe Exploration Time at Treaty-Scale Trial Capacity (10,000 simulations)

Simulation Results Summary: Known Safe Exploration Time at Treaty-Scale Trial Capacity

Statistic Value
Baseline (deterministic) 234
Mean (expected value) 229
Median (50th percentile) 178
Standard Deviation 175
90% Range (5th-95th percentile) [53.7, 598]

The histogram shows the distribution of Known Safe Exploration Time at Treaty-Scale Trial Capacity across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Known Safe Exploration Time at Treaty-Scale Trial Capacity

Probability of Exceeding Threshold: Known Safe Exploration Time at Treaty-Scale Trial Capacity

This exceedance probability chart shows the likelihood that Known Safe Exploration Time at Treaty-Scale Trial Capacity will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Maximum Trial Capacity Multiplier (Physical Limit): 566x

Physical upper bound on trial-capacity multiplier from participant availability. Even with unlimited funding, annual trial enrollment cannot exceed willing participant pool.

Inputs:

\[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Maximum Trial Capacity Multiplier (Physical Limit)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Global Clinical Trial Participants (patients/year) -0.7220 Strong driver
Global Patients Willing to Participate in Clinical Trials (people) 0.6789 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Maximum Trial Capacity Multiplier (Physical Limit) (10,000 simulations)

Monte Carlo Distribution: Maximum Trial Capacity Multiplier (Physical Limit) (10,000 simulations)

Simulation Results Summary: Maximum Trial Capacity Multiplier (Physical Limit)

Statistic Value
Baseline (deterministic) 566x
Mean (expected value) 573x
Median (50th percentile) 567x
Standard Deviation 81.3x
90% Range (5th-95th percentile) [450x, 718x]

The histogram shows the distribution of Maximum Trial Capacity Multiplier (Physical Limit) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Maximum Trial Capacity Multiplier (Physical Limit)

Probability of Exceeding Threshold: Maximum Trial Capacity Multiplier (Physical Limit)

This exceedance probability chart shows the likelihood that Maximum Trial Capacity Multiplier (Physical Limit) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Net Savings from Pragmatic Trials (R&D Only): $58.6 billion

Annual net savings from R&D cost reduction only (gross savings minus operational costs, excludes regulatory delay value)

Inputs:

\[ \begin{gathered} Savings_{RD,ann} \\ = Benefit_{RD,ann} - OPEX_{trial} \\ = \$58.6B - \$40M \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Benefit_{RD,ann} \\ = Spending_{trials} \times Reduce_{pct} \\ = \$60B \times 97.7\% \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Reduce_{pct} \\ = 1 - \frac{Cost_{pragmatic,pt}}{Cost_{P3,pt}} \\ = 1 - \frac{\$929}{\$41K} \\ = 97.7\% \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual Net Savings from Pragmatic Trials (R&D Only)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual R&D Savings from Pragmatic Trials (USD/year) 1.0000 Strong driver
Total Annual Pragmatic Trial Platform Operational Costs (USD/year) -0.0005 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Net Savings from Pragmatic Trials (R&D Only) (10,000 simulations)

Monte Carlo Distribution: Annual Net Savings from Pragmatic Trials (R&D Only) (10,000 simulations)

Simulation Results Summary: Annual Net Savings from Pragmatic Trials (R&D Only)

Statistic Value
Baseline (deterministic) $58.6 billion
Mean (expected value) $58.5 billion
Median (50th percentile) $57.6 billion
Standard Deviation $7.97 billion
90% Range (5th-95th percentile) [$48.1 billion, $73 billion]

The histogram shows the distribution of Annual Net Savings from Pragmatic Trials (R&D Only) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Net Savings from Pragmatic Trials (R&D Only)

Probability of Exceeding Threshold: Annual Net Savings from Pragmatic Trials (R&D Only)

This exceedance probability chart shows the likelihood that Annual Net Savings from Pragmatic Trials (R&D Only) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pragmatic Trial Platform Total NPV Annual OPEX: $40 million

Total NPV annual opex (pragmatic trial platform core + DIH initiatives)

Inputs:

\[ \begin{gathered} OPEX_{total} \\ = OPEX_{ann} + OPEX_{DIH,ann} \\ = \$18.9M + \$21.1M \\ = \$40M \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Pragmatic Trial Platform Total NPV Annual OPEX

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
DIH Broader Initiatives Annual OPEX (USD/year) 0.7686 Strong driver
Pragmatic Trial Platform Core Framework Annual OPEX (USD/year) 0.6508 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pragmatic Trial Platform Total NPV Annual OPEX (10,000 simulations)

Monte Carlo Distribution: Pragmatic Trial Platform Total NPV Annual OPEX (10,000 simulations)

Simulation Results Summary: Pragmatic Trial Platform Total NPV Annual OPEX

Statistic Value
Baseline (deterministic) $40 million
Mean (expected value) $39.8 million
Median (50th percentile) $39.5 million
Standard Deviation $5.65 million
90% Range (5th-95th percentile) [$31.1 million, $49.6 million]

The histogram shows the distribution of Pragmatic Trial Platform Total NPV Annual OPEX across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pragmatic Trial Platform Total NPV Annual OPEX

Probability of Exceeding Threshold: Pragmatic Trial Platform Total NPV Annual OPEX

This exceedance probability chart shows the likelihood that Pragmatic Trial Platform Total NPV Annual OPEX will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted): $389 billion

NPV of pragmatic trial R&D savings only with 5-year adoption ramp (10-year horizon, most conservative financial estimate)

Inputs:

\[ \begin{gathered} NPV_{RD} \\ = \sum_{t=1}^{10} \frac{Savings_{RD,ann} \cdot \frac{\min(t,5)}{5}}{(1+r)^t} \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Net Savings from Pragmatic Trials (R&D Only) (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted) (10,000 simulations)

Monte Carlo Distribution: NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted) (10,000 simulations)

Simulation Results Summary: NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted)

Statistic Value
Baseline (deterministic) $389 billion
Mean (expected value) $388 billion
Median (50th percentile) $383 billion
Standard Deviation $52.9 billion
90% Range (5th-95th percentile) [$319 billion, $485 billion]

The histogram shows the distribution of NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted)

Probability of Exceeding Threshold: NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted)

This exceedance probability chart shows the likelihood that NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

NPV Net Benefit (R&D Only): $389 billion

NPV net benefit using R&D savings only (benefits minus costs)

Inputs:

\[ \begin{gathered} NPV_{net,RD} \\ = NPV_{RD} - Cost_{platform,total} \\ = \$389B - \$611M \\ = \$389B \end{gathered} \] where: \[ \begin{gathered} NPV_{RD} \\ = \sum_{t=1}^{10} \frac{Savings_{RD,ann} \cdot \frac{\min(t,5)}{5}}{(1+r)^t} \end{gathered} \] where: \[ \begin{gathered} Savings_{RD,ann} \\ = Benefit_{RD,ann} - OPEX_{trial} \\ = \$58.6B - \$40M \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Benefit_{RD,ann} \\ = Spending_{trials} \times Reduce_{pct} \\ = \$60B \times 97.7\% \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Reduce_{pct} \\ = 1 - \frac{Cost_{pragmatic,pt}}{Cost_{P3,pt}} \\ = 1 - \frac{\$929}{\$41K} \\ = 97.7\% \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Cost_{platform,total} \\ = PV_{OPEX} + Cost_{upfront,total} \\ = \$342M + \$270M \\ = \$611M \end{gathered} \] where: \[ \begin{gathered} PV_{OPEX} \\ = \frac{T_{horizon}}{OPEX_{total} \times r_{discount}} \\ = \frac{10}{\$40M \times 3\%} \\ = \$342M \end{gathered} \] where: \[ \begin{gathered} OPEX_{total} \\ = OPEX_{ann} + OPEX_{DIH,ann} \\ = \$18.9M + \$21.1M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Cost_{upfront,total} \\ = Cost_{upfront} + Cost_{DIH,init} \\ = \$40M + \$230M \\ = \$270M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for NPV Net Benefit (R&D Only)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted) (USD) 1.0000 Strong driver
Pragmatic Trial Platform Total NPV Cost (USD) -0.0013 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: NPV Net Benefit (R&D Only) (10,000 simulations)

Monte Carlo Distribution: NPV Net Benefit (R&D Only) (10,000 simulations)

Simulation Results Summary: NPV Net Benefit (R&D Only)

Statistic Value
Baseline (deterministic) $389 billion
Mean (expected value) $388 billion
Median (50th percentile) $382 billion
Standard Deviation $52.9 billion
90% Range (5th-95th percentile) [$319 billion, $485 billion]

The histogram shows the distribution of NPV Net Benefit (R&D Only) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: NPV Net Benefit (R&D Only)

Probability of Exceeding Threshold: NPV Net Benefit (R&D Only)

This exceedance probability chart shows the likelihood that NPV Net Benefit (R&D Only) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pragmatic Trial Platform Present Value of Annual OPEX Over 10 Years: $342 million

Present value of annual opex over 10 years (NPV formula)

Inputs:

\[ \begin{gathered} PV_{OPEX} \\ = \frac{T_{horizon}}{OPEX_{total} \times r_{discount}} \\ = \frac{10}{\$40M \times 3\%} \\ = \$342M \end{gathered} \] where: \[ \begin{gathered} OPEX_{total} \\ = OPEX_{ann} + OPEX_{DIH,ann} \\ = \$18.9M + \$21.1M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Pragmatic Trial Platform Present Value of Annual OPEX Over 10 Years

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Platform Total NPV Annual OPEX (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pragmatic Trial Platform Present Value of Annual OPEX Over 10 Years (10,000 simulations)

Monte Carlo Distribution: Pragmatic Trial Platform Present Value of Annual OPEX Over 10 Years (10,000 simulations)

Simulation Results Summary: Pragmatic Trial Platform Present Value of Annual OPEX Over 10 Years

Statistic Value
Baseline (deterministic) $342 million
Mean (expected value) $340 million
Median (50th percentile) $337 million
Standard Deviation $48.2 million
90% Range (5th-95th percentile) [$265 million, $423 million]

The histogram shows the distribution of Pragmatic Trial Platform Present Value of Annual OPEX Over 10 Years across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pragmatic Trial Platform Present Value of Annual OPEX Over 10 Years

Probability of Exceeding Threshold: Pragmatic Trial Platform Present Value of Annual OPEX Over 10 Years

This exceedance probability chart shows the likelihood that Pragmatic Trial Platform Present Value of Annual OPEX Over 10 Years will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pragmatic Trial Platform Total NPV Cost: $611 million

Total NPV cost (upfront + PV of annual opex)

Inputs:

\[ \begin{gathered} Cost_{platform,total} \\ = PV_{OPEX} + Cost_{upfront,total} \\ = \$342M + \$270M \\ = \$611M \end{gathered} \] where: \[ \begin{gathered} PV_{OPEX} \\ = \frac{T_{horizon}}{OPEX_{total} \times r_{discount}} \\ = \frac{10}{\$40M \times 3\%} \\ = \$342M \end{gathered} \] where: \[ \begin{gathered} OPEX_{total} \\ = OPEX_{ann} + OPEX_{DIH,ann} \\ = \$18.9M + \$21.1M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Cost_{upfront,total} \\ = Cost_{upfront} + Cost_{DIH,init} \\ = \$40M + \$230M \\ = \$270M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Pragmatic Trial Platform Total NPV Cost

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Platform Total NPV Upfront Costs (USD) 0.7087 Strong driver
Pragmatic Trial Platform Present Value of Annual OPEX Over 10 Years (USD) 0.6952 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pragmatic Trial Platform Total NPV Cost (10,000 simulations)

Monte Carlo Distribution: Pragmatic Trial Platform Total NPV Cost (10,000 simulations)

Simulation Results Summary: Pragmatic Trial Platform Total NPV Cost

Statistic Value
Baseline (deterministic) $611 million
Mean (expected value) $609 million
Median (50th percentile) $606 million
Standard Deviation $69.3 million
90% Range (5th-95th percentile) [$499 million, $729 million]

The histogram shows the distribution of Pragmatic Trial Platform Total NPV Cost across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pragmatic Trial Platform Total NPV Cost

Probability of Exceeding Threshold: Pragmatic Trial Platform Total NPV Cost

This exceedance probability chart shows the likelihood that Pragmatic Trial Platform Total NPV Cost will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pragmatic Trial Platform Total NPV Upfront Costs: $270 million

Total NPV upfront costs (pragmatic trial platform core + DIH initiatives)

Inputs:

\[ \begin{gathered} Cost_{upfront,total} \\ = Cost_{upfront} + Cost_{DIH,init} \\ = \$40M + \$230M \\ = \$270M \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Pragmatic Trial Platform Total NPV Upfront Costs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
DIH Broader Initiatives Upfront Cost (USD) 0.9826 Strong driver
Pragmatic Trial Platform Core Framework Build Cost (USD) 0.1958 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pragmatic Trial Platform Total NPV Upfront Costs (10,000 simulations)

Monte Carlo Distribution: Pragmatic Trial Platform Total NPV Upfront Costs (10,000 simulations)

Simulation Results Summary: Pragmatic Trial Platform Total NPV Upfront Costs

Statistic Value
Baseline (deterministic) $270 million
Mean (expected value) $269 million
Median (50th percentile) $264 million
Standard Deviation $49.1 million
90% Range (5th-95th percentile) [$196 million, $363 million]

The histogram shows the distribution of Pragmatic Trial Platform Total NPV Upfront Costs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pragmatic Trial Platform Total NPV Upfront Costs

Probability of Exceeding Threshold: Pragmatic Trial Platform Total NPV Upfront Costs

This exceedance probability chart shows the likelihood that Pragmatic Trial Platform Total NPV Upfront Costs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pragmatic Trial Platform Overhead Percentage of Treaty Funding: 0.147%

Percentage of treaty funding allocated to pragmatic trial platform overhead

Inputs:

\[ \begin{gathered} OPEX_{pct} \\ = \frac{OPEX_{trial}}{Funding_{treaty}} \\ = \frac{\$40M}{\$27.2B} \\ = 0.147\% \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Pragmatic Trial Platform Overhead Percentage of Treaty Funding

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Pragmatic Trial Platform Operational Costs (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pragmatic Trial Platform Overhead Percentage of Treaty Funding (10,000 simulations)

Monte Carlo Distribution: Pragmatic Trial Platform Overhead Percentage of Treaty Funding (10,000 simulations)

Simulation Results Summary: Pragmatic Trial Platform Overhead Percentage of Treaty Funding

Statistic Value
Baseline (deterministic) 0.147%
Mean (expected value) 0.147%
Median (50th percentile) 0.146%
Standard Deviation 0.015%
90% Range (5th-95th percentile) [0.123%, 0.173%]

The histogram shows the distribution of Pragmatic Trial Platform Overhead Percentage of Treaty Funding across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pragmatic Trial Platform Overhead Percentage of Treaty Funding

Probability of Exceeding Threshold: Pragmatic Trial Platform Overhead Percentage of Treaty Funding

This exceedance probability chart shows the likelihood that Pragmatic Trial Platform Overhead Percentage of Treaty Funding will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Patients Fundable Annually at Reference Funding: 23.4 million patients/year

Number of patients fundable annually at the reference pragmatic trial funding level and empirical pragmatic trial cost. Source-agnostic counterpart of DIH_PATIENTS_FUNDABLE_ANNUALLY.

Inputs:

\[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Patients Fundable Annually at Reference Funding

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Cost per Patient (USD/patient) -0.6862 Strong driver
Reference Annual Trial Subsidies (USD/year) 0.0014 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Patients Fundable Annually at Reference Funding (10,000 simulations)

Monte Carlo Distribution: Patients Fundable Annually at Reference Funding (10,000 simulations)

Simulation Results Summary: Patients Fundable Annually at Reference Funding

Statistic Value
Baseline (deterministic) 23.4 million
Mean (expected value) 38.4 million
Median (50th percentile) 30 million
Standard Deviation 29.5 million
90% Range (5th-95th percentile) [9.23 million, 93.9 million]

The histogram shows the distribution of Patients Fundable Annually at Reference Funding across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Patients Fundable Annually at Reference Funding

Probability of Exceeding Threshold: Patients Fundable Annually at Reference Funding

This exceedance probability chart shows the likelihood that Patients Fundable Annually at Reference Funding will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity: 36 years

Years to explore the entire therapeutic search space with treaty-scale pragmatic trial capacity. At increased discovery rate, finding first treatments for all currently untreatable diseases takes ~36 years instead of ~443.

Inputs:

\[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding (x) -0.5900 Strong driver
Status Quo Therapeutic Space Exploration Time (years) 0.4217 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity (10,000 simulations)

Monte Carlo Distribution: Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity (10,000 simulations)

Simulation Results Summary: Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity

Statistic Value
Baseline (deterministic) 36
Mean (expected value) 39.5
Median (50th percentile) 29.5
Standard Deviation 32.9
90% Range (5th-95th percentile) [8.15, 106]

The histogram shows the distribution of Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity

Probability of Exceeding Threshold: Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity

This exceedance probability chart shows the likelihood that Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Daily R&D Savings from Trial Cost Reduction: $161 million

Daily R&D savings from trial cost reduction (opportunity cost of delay)

Inputs:

\[ \begin{gathered} Savings_{RD,daily} \\ = Benefit_{RD,ann} \times 0.00274 \\ = \$58.6B \times 0.00274 \\ = \$161M \end{gathered} \] where: \[ \begin{gathered} Benefit_{RD,ann} \\ = Spending_{trials} \times Reduce_{pct} \\ = \$60B \times 97.7\% \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Reduce_{pct} \\ = 1 - \frac{Cost_{pragmatic,pt}}{Cost_{P3,pt}} \\ = 1 - \frac{\$929}{\$41K} \\ = 97.7\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Daily R&D Savings from Trial Cost Reduction

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual R&D Savings from Pragmatic Trials (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Daily R&D Savings from Trial Cost Reduction (10,000 simulations)

Monte Carlo Distribution: Daily R&D Savings from Trial Cost Reduction (10,000 simulations)

Simulation Results Summary: Daily R&D Savings from Trial Cost Reduction

Statistic Value
Baseline (deterministic) $161 million
Mean (expected value) $160 million
Median (50th percentile) $158 million
Standard Deviation $21.8 million
90% Range (5th-95th percentile) [$132 million, $200 million]

The histogram shows the distribution of Daily R&D Savings from Trial Cost Reduction across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Daily R&D Savings from Trial Cost Reduction

Probability of Exceeding Threshold: Daily R&D Savings from Trial Cost Reduction

This exceedance probability chart shows the likelihood that Daily R&D Savings from Trial Cost Reduction will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

ROI from Pragmatic Trial R&D Savings Only: 637:1

ROI from pragmatic trial R&D savings only (10-year NPV, most conservative estimate)

Inputs:

\[ \begin{gathered} ROI_{RD} \\ = \frac{NPV_{RD}}{Cost_{platform,total}} \\ = \frac{\$389B}{\$611M} \\ = 637 \end{gathered} \] where: \[ \begin{gathered} NPV_{RD} \\ = \sum_{t=1}^{10} \frac{Savings_{RD,ann} \cdot \frac{\min(t,5)}{5}}{(1+r)^t} \end{gathered} \] where: \[ \begin{gathered} Savings_{RD,ann} \\ = Benefit_{RD,ann} - OPEX_{trial} \\ = \$58.6B - \$40M \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Benefit_{RD,ann} \\ = Spending_{trials} \times Reduce_{pct} \\ = \$60B \times 97.7\% \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Reduce_{pct} \\ = 1 - \frac{Cost_{pragmatic,pt}}{Cost_{P3,pt}} \\ = 1 - \frac{\$929}{\$41K} \\ = 97.7\% \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Cost_{platform,total} \\ = PV_{OPEX} + Cost_{upfront,total} \\ = \$342M + \$270M \\ = \$611M \end{gathered} \] where: \[ \begin{gathered} PV_{OPEX} \\ = \frac{T_{horizon}}{OPEX_{total} \times r_{discount}} \\ = \frac{10}{\$40M \times 3\%} \\ = \$342M \end{gathered} \] where: \[ \begin{gathered} OPEX_{total} \\ = OPEX_{ann} + OPEX_{DIH,ann} \\ = \$18.9M + \$21.1M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Cost_{upfront,total} \\ = Cost_{upfront} + Cost_{DIH,init} \\ = \$40M + \$230M \\ = \$270M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for ROI from Pragmatic Trial R&D Savings Only

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
NPV of Pragmatic Trial Benefits (R&D Only, 10-Year Discounted) (USD) 0.7625 Strong driver
Pragmatic Trial Platform Total NPV Cost (USD) -0.6344 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: ROI from Pragmatic Trial R&D Savings Only (10,000 simulations)

Monte Carlo Distribution: ROI from Pragmatic Trial R&D Savings Only (10,000 simulations)

Simulation Results Summary: ROI from Pragmatic Trial R&D Savings Only

Statistic Value
Baseline (deterministic) 637:1
Mean (expected value) 646:1
Median (50th percentile) 634:1
Standard Deviation 115:1
90% Range (5th-95th percentile) [479:1, 854:1]

The histogram shows the distribution of ROI from Pragmatic Trial R&D Savings Only across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: ROI from Pragmatic Trial R&D Savings Only

Probability of Exceeding Threshold: ROI from Pragmatic Trial R&D Savings Only

This exceedance probability chart shows the likelihood that ROI from Pragmatic Trial R&D Savings Only will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Maximum Trials per Year at Treaty-Scale Trial Capacity: 40,682 trials/year

Maximum trials per year possible with trial capacity multiplier

Inputs:

\[ \begin{gathered} Capacity_{trials} \\ = Trials_{ann,curr} \times k_{capacity} \\ = 3{,}300 \times 12.3 \\ = 40{,}700 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Maximum Trials per Year at Treaty-Scale Trial Capacity

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding (x) 0.9866 Strong driver
Current Global Clinical Trials per Year (trials/year) 0.1212 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Maximum Trials per Year at Treaty-Scale Trial Capacity (10,000 simulations)

Monte Carlo Distribution: Maximum Trials per Year at Treaty-Scale Trial Capacity (10,000 simulations)

Simulation Results Summary: Maximum Trials per Year at Treaty-Scale Trial Capacity

Statistic Value
Baseline (deterministic) 40,682
Mean (expected value) 67,548
Median (50th percentile) 52,092
Standard Deviation 53,631
90% Range (5th-95th percentile) [16,041, 169 thousand]

The histogram shows the distribution of Maximum Trials per Year at Treaty-Scale Trial Capacity across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Maximum Trials per Year at Treaty-Scale Trial Capacity

Probability of Exceeding Threshold: Maximum Trials per Year at Treaty-Scale Trial Capacity

This exceedance probability chart shows the likelihood that Maximum Trials per Year at Treaty-Scale Trial Capacity will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding: 12.3x

Trial capacity multiplier from treaty-scale pragmatic trial funding capacity vs. current global trial participation

Inputs:

\[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Patients Fundable Annually at Reference Funding (patients/year) 0.9866 Strong driver
Annual Global Clinical Trial Participants (patients/year) -0.1314 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding (10,000 simulations)

Monte Carlo Distribution: Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding (10,000 simulations)

Simulation Results Summary: Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding

Statistic Value
Baseline (deterministic) 12.3x
Mean (expected value) 20.5x
Median (50th percentile) 16x
Standard Deviation 16x
90% Range (5th-95th percentile) [4.92x, 50.8x]

The histogram shows the distribution of Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding

Probability of Exceeding Threshold: Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding

This exceedance probability chart shows the likelihood that Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput: 565 billion DALYs

Total DALYs averted from the combined treatment timeline shift. Calculated as annual global DALY burden × eventually avoidable percentage × timeline shift years. Includes both fatal and non-fatal diseases (WHO GBD methodology).

Inputs:

\[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Average Total Treatment Timeline Shift (years) 0.9320 Strong driver
Eventually Avoidable DALY Percentage (percentage) 0.3151 Moderate driver
Global Annual DALY Burden (DALYs/year) 0.1348 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (10,000 simulations)

Monte Carlo Distribution: Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (10,000 simulations)

Simulation Results Summary: Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Statistic Value
Baseline (deterministic) 565 billion
Mean (expected value) 635 billion
Median (50th percentile) 600 billion
Standard Deviation 237 billion
90% Range (5th-95th percentile) [309 billion, 1.08 trillion]

The histogram shows the distribution of Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Probability of Exceeding Threshold: Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

This exceedance probability chart shows the likelihood that Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput: $84.8 quadrillion

Total economic value from the combined treatment timeline shift. DALYs valued at standard economic rate.

Inputs:

\[ \begin{gathered} Value_{max} \\ = DALYs_{max} \times Value_{QALY} \\ = 565B \times \$150K \\ = \$84800T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (DALYs) 0.8856 Strong driver
Standard Economic Value per QALY (USD/QALY) 0.4321 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (10,000 simulations)

Monte Carlo Distribution: Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (10,000 simulations)

Simulation Results Summary: Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Statistic Value
Baseline (deterministic) $84.8 quadrillion
Mean (expected value) $95 quadrillion
Median (50th percentile) $88 quadrillion
Standard Deviation $40.2 quadrillion
90% Range (5th-95th percentile) [$42.9 quadrillion, $172 quadrillion]

The histogram shows the distribution of Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Probability of Exceeding Threshold: Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

This exceedance probability chart shows the likelihood that Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput: 10.7 billion deaths

Total eventually avoidable deaths from the combined treatment timeline shift. Represents deaths prevented when cures arrive earlier due to both increased trial capacity and eliminated efficacy lag.

Inputs:

\[ \begin{gathered} Lives_{max} \\ = Deaths_{disease,daily} \times T_{accel,max} \times 338 \\ = 150{,}000 \times 212 \times 338 \\ = 10.7B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Average Total Treatment Timeline Shift (years) 0.9886 Strong driver
Global Daily Deaths from Disease and Aging (deaths/day) 0.1418 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (10,000 simulations)

Monte Carlo Distribution: Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (10,000 simulations)

Simulation Results Summary: Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Statistic Value
Baseline (deterministic) 10.7 billion
Mean (expected value) 12.1 billion
Median (50th percentile) 11.5 billion
Standard Deviation 4.28 billion
90% Range (5th-95th percentile) [6.24 billion, 20.3 billion]

The histogram shows the distribution of Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Probability of Exceeding Threshold: Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

This exceedance probability chart shows the likelihood that Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput: 1.93 quadrillion hours

Hours of suffering eliminated from the combined treatment timeline shift. Calculated from YLD component of DALYs (39% of total DALYs × hours per year). One-time benefit, not annual recurring.

Inputs:

\[ \begin{gathered} Hours_{suffer,max} \\ = DALYs_{max} \times Pct_{YLD} \times 8760 \\ = 565B \times 0.39 \times 8760 \\ = 1930T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (DALYs) 0.9776 Strong driver
YLD Proportion of Total DALYs (proportion) 0.2007 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (10,000 simulations)

Monte Carlo Distribution: Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (10,000 simulations)

Simulation Results Summary: Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Statistic Value
Baseline (deterministic) 1.93 quadrillion
Mean (expected value) 2.17 quadrillion
Median (50th percentile) 2.04 quadrillion
Standard Deviation 828 trillion
90% Range (5th-95th percentile) [1.04 quadrillion, 3.75 quadrillion]

The histogram shows the distribution of Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

Probability of Exceeding Threshold: Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput

This exceedance probability chart shows the likelihood that Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Average Total Treatment Timeline Shift: 212 years

Average years earlier patients receive treatments from increased pragmatic trial capacity plus efficacy lag elimination for treatments already discovered.

Inputs:

\[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Average Total Treatment Timeline Shift

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treatment Timeline Acceleration from Pragmatic Trial Capacity (years) 0.9998 Strong driver
Regulatory Delay for Efficacy Testing Post-Safety Verification (years) 0.0238 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Average Total Treatment Timeline Shift (10,000 simulations)

Monte Carlo Distribution: Average Total Treatment Timeline Shift (10,000 simulations)

Simulation Results Summary: Average Total Treatment Timeline Shift

Statistic Value
Baseline (deterministic) 212
Mean (expected value) 239
Median (50th percentile) 227
Standard Deviation 83.4
90% Range (5th-95th percentile) [124, 398]

The histogram shows the distribution of Average Total Treatment Timeline Shift across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Average Total Treatment Timeline Shift

Probability of Exceeding Threshold: Average Total Treatment Timeline Shift

This exceedance probability chart shows the likelihood that Average Total Treatment Timeline Shift will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treatment Timeline Acceleration from Pragmatic Trial Capacity: 204 years

Years earlier the average first treatment arrives due to increased pragmatic trial capacity. Calculated as the status quo timeline reduced by the inverse of the capacity multiplier. Uses only trial capacity multiplier (not combined with valley of death rescue) because additional candidates do not directly speed therapeutic space exploration.

Inputs:

\[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Treatment Timeline Acceleration from Pragmatic Trial Capacity

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Status Quo Average Years to First Treatment (years) 0.9823 Strong driver
Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding (x) 0.1163 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treatment Timeline Acceleration from Pragmatic Trial Capacity (10,000 simulations)

Monte Carlo Distribution: Treatment Timeline Acceleration from Pragmatic Trial Capacity (10,000 simulations)

Simulation Results Summary: Treatment Timeline Acceleration from Pragmatic Trial Capacity

Statistic Value
Baseline (deterministic) 204
Mean (expected value) 231
Median (50th percentile) 219
Standard Deviation 83.4
90% Range (5th-95th percentile) [116, 390]

The histogram shows the distribution of Treatment Timeline Acceleration from Pragmatic Trial Capacity across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treatment Timeline Acceleration from Pragmatic Trial Capacity

Probability of Exceeding Threshold: Treatment Timeline Acceleration from Pragmatic Trial Capacity

This exceedance probability chart shows the likelihood that Treatment Timeline Acceleration from Pragmatic Trial Capacity will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pragmatic Trial Cost Reduction Factor: 44.1x

Cost reduction factor projected for embedded pragmatic trials (traditional Phase 3 cost / pragmatic trial cost per patient)

Inputs:

\[ \begin{gathered} k_{reduce} \\ = \frac{Cost_{P3,pt}}{Cost_{pragmatic,pt}} \\ = \frac{\$41K}{\$929} \\ = 44.1 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Pragmatic Trial Cost Reduction Factor

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Phase 3 Cost per Patient (USD/patient) 0.5310 Strong driver
Pragmatic Trial Cost per Patient (USD/patient) -0.4880 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pragmatic Trial Cost Reduction Factor (10,000 simulations)

Monte Carlo Distribution: Pragmatic Trial Cost Reduction Factor (10,000 simulations)

Simulation Results Summary: Pragmatic Trial Cost Reduction Factor

Statistic Value
Baseline (deterministic) 44.1x
Mean (expected value) 73x
Median (50th percentile) 49.1x
Standard Deviation 78.5x
90% Range (5th-95th percentile) [12.8x, 210x]

The histogram shows the distribution of Pragmatic Trial Cost Reduction Factor across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pragmatic Trial Cost Reduction Factor

Probability of Exceeding Threshold: Pragmatic Trial Cost Reduction Factor

This exceedance probability chart shows the likelihood that Pragmatic Trial Cost Reduction Factor will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pragmatic Trial Cost Reduction Percentage: 97.7%

Trial cost reduction percentage: 1 - (pragmatic trial cost / traditional Phase 3 cost)

Inputs:

\[ \begin{gathered} Reduce_{pct} \\ = 1 - \frac{Cost_{pragmatic,pt}}{Cost_{P3,pt}} \\ = 1 - \frac{\$929}{\$41K} \\ = 97.7\% \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Pragmatic Trial Cost Reduction Percentage

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Cost per Patient (USD/patient) -0.8031 Strong driver
Phase 3 Cost per Patient (USD/patient) 0.4142 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pragmatic Trial Cost Reduction Percentage (10,000 simulations)

Monte Carlo Distribution: Pragmatic Trial Cost Reduction Percentage (10,000 simulations)

Simulation Results Summary: Pragmatic Trial Cost Reduction Percentage

Statistic Value
Baseline (deterministic) 97.7%
Mean (expected value) 97.2%
Median (50th percentile) 98%
Standard Deviation 2.48%
90% Range (5th-95th percentile) [92.2%, 99.5%]

The histogram shows the distribution of Pragmatic Trial Cost Reduction Percentage across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pragmatic Trial Cost Reduction Percentage

Probability of Exceeding Threshold: Pragmatic Trial Cost Reduction Percentage

This exceedance probability chart shows the likelihood that Pragmatic Trial Cost Reduction Percentage will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Reference Annual Trial Subsidies: $21.8 billion

Annual patient-level pragmatic trial subsidies after operating costs at the reference funding level

Inputs:

\[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Reference Annual Trial Subsidies

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Pragmatic Trial Platform Operational Costs (USD/year) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Reference Annual Trial Subsidies (10,000 simulations)

Monte Carlo Distribution: Reference Annual Trial Subsidies (10,000 simulations)

Simulation Results Summary: Reference Annual Trial Subsidies

Statistic Value
Baseline (deterministic) $21.8 billion
Mean (expected value) $21.8 billion
Median (50th percentile) $21.8 billion
Standard Deviation $4.09 million
90% Range (5th-95th percentile) [$21.8 billion, $21.8 billion]

The histogram shows the distribution of Reference Annual Trial Subsidies across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Reference Annual Trial Subsidies

Probability of Exceeding Threshold: Reference Annual Trial Subsidies

This exceedance probability chart shows the likelihood that Reference Annual Trial Subsidies will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Valley of Death Rescue Multiplier: 1.4x

Factor increase in drugs entering development when pragmatic trial subsidies remove the Phase 2/3 cost barrier. Valley-of-death attrition (40%) becomes new drugs, so 1 + 0.40 = 1.4× more drugs.

Inputs:

\[ k_{rescue} = Attrition_{valley} + 1 = 40\% + 1 = 1.4 \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Valley of Death Rescue Multiplier

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Valley of Death Attrition Rate (percentage) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Valley of Death Rescue Multiplier (10,000 simulations)

Monte Carlo Distribution: Valley of Death Rescue Multiplier (10,000 simulations)

Simulation Results Summary: Valley of Death Rescue Multiplier

Statistic Value
Baseline (deterministic) 1.4x
Mean (expected value) 1.4x
Median (50th percentile) 1.4x
Standard Deviation 0.0868x
90% Range (5th-95th percentile) [1.26x, 1.54x]

The histogram shows the distribution of Valley of Death Rescue Multiplier across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Valley of Death Rescue Multiplier

Probability of Exceeding Threshold: Valley of Death Rescue Multiplier

This exceedance probability chart shows the likelihood that Valley of Death Rescue Multiplier will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Patients Fundable Annually Under the 1% Treaty: 23.4 million patients/year

Number of patients fundable annually from 1% Treaty pragmatic trial subsidies at empirical pragmatic trial cost (RECOVERY to PCORnet range).

Inputs:

\[ \begin{gathered} N_{fundable,ann} \\ = \frac{Subsidies_{trial,ann}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.7B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ann} \\ = Treasury_{RD,ann} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.7B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Treasury_{RD,ann} \\ = Funding_{treaty} - Payout_{bond,ann} - Funding_{political,ann} \\ = \$27.2B - \$2.72B - \$2.72B \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] where: \[ \begin{gathered} Payout_{bond,ann} \\ = Funding_{treaty} \times Pct_{bond} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] where: \[ \begin{gathered} Funding_{political,ann} \\ = Funding_{treaty} \times Pct_{political} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Patients Fundable Annually Under the 1% Treaty

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Cost per Patient (USD/patient) -0.6862 Strong driver
1% Treaty Annual Trial Subsidies (USD/year) 0.0014 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Patients Fundable Annually Under the 1% Treaty (10,000 simulations)

Monte Carlo Distribution: Patients Fundable Annually Under the 1% Treaty (10,000 simulations)

Simulation Results Summary: Patients Fundable Annually Under the 1% Treaty

Statistic Value
Baseline (deterministic) 23.4 million
Mean (expected value) 38.3 million
Median (50th percentile) 29.9 million
Standard Deviation 29.5 million
90% Range (5th-95th percentile) [9.21 million, 93.7 million]

The histogram shows the distribution of Patients Fundable Annually Under the 1% Treaty across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Patients Fundable Annually Under the 1% Treaty

Probability of Exceeding Threshold: Patients Fundable Annually Under the 1% Treaty

This exceedance probability chart shows the likelihood that Patients Fundable Annually Under the 1% Treaty will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Medical Research Percentage of Treaty Funding: 80%

Percentage of treaty funding allocated to medical research (after bond payouts and IAB incentives)

Inputs:

\[ \begin{gathered} Pct_{treasury,RD} \\ = \frac{Treasury_{RD,ann}}{Funding_{treaty}} \\ = \frac{\$21.8B}{\$27.2B} \\ = 80\% \end{gathered} \] where: \[ \begin{gathered} Treasury_{RD,ann} \\ = Funding_{treaty} - Payout_{bond,ann} - Funding_{political,ann} \\ = \$27.2B - \$2.72B - \$2.72B \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] where: \[ \begin{gathered} Payout_{bond,ann} \\ = Funding_{treaty} \times Pct_{bond} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] where: \[ \begin{gathered} Funding_{political,ann} \\ = Funding_{treaty} \times Pct_{political} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] ✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Medical Research Percentage of Treaty Funding is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 80%
Mean (expected value) 80%
Median (50th percentile) 80%
Standard Deviation 1.11e-14%
90% Range (5th-95th percentile) [80%, 80%]

Exceedance Probability

Exceedance note: Medical Research Percentage of Treaty Funding collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 80%

1% Treaty Pragmatic Trial Funding: $21.8 billion

Annual 1% Treaty funding available for pragmatic clinical trials after bond payouts and political incentive funding.

Inputs:

\[ \begin{gathered} Treasury_{RD,ann} \\ = Funding_{treaty} - Payout_{bond,ann} - Funding_{political,ann} \\ = \$27.2B - \$2.72B - \$2.72B \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] where: \[ \begin{gathered} Payout_{bond,ann} \\ = Funding_{treaty} \times Pct_{bond} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] where: \[ \begin{gathered} Funding_{political,ann} \\ = Funding_{treaty} \times Pct_{political} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] ✓ High confidence

Monte Carlo Distribution

Monte Carlo note: 1% Treaty Pragmatic Trial Funding is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 2.176e-02)

Statistic Value
Baseline (deterministic) $21.8 billion
Mean (expected value) $21.8 billion
Median (50th percentile) $21.8 billion
Standard Deviation $0
90% Range (5th-95th percentile) [$21.8 billion, $21.8 billion]

Exceedance Probability

Exceedance note: 1% Treaty Pragmatic Trial Funding collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 2.176e-02)

Approximate deterministic value: $21.8 billion

1% Treaty Annual Trial Subsidies: $21.7 billion

Annual 1% Treaty patient-level pragmatic trial subsidies after platform operating costs

Inputs:

\[ \begin{gathered} Subsidies_{trial,ann} \\ = Treasury_{RD,ann} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.7B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Treasury_{RD,ann} \\ = Funding_{treaty} - Payout_{bond,ann} - Funding_{political,ann} \\ = \$27.2B - \$2.72B - \$2.72B \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] where: \[ \begin{gathered} Payout_{bond,ann} \\ = Funding_{treaty} \times Pct_{bond} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] where: \[ \begin{gathered} Funding_{political,ann} \\ = Funding_{treaty} \times Pct_{political} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for 1% Treaty Annual Trial Subsidies

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Pragmatic Trial Platform Operational Costs (USD/year) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: 1% Treaty Annual Trial Subsidies (10,000 simulations)

Monte Carlo Distribution: 1% Treaty Annual Trial Subsidies (10,000 simulations)

Simulation Results Summary: 1% Treaty Annual Trial Subsidies

Statistic Value
Baseline (deterministic) $21.7 billion
Mean (expected value) $21.7 billion
Median (50th percentile) $21.7 billion
Standard Deviation $4.09 million
90% Range (5th-95th percentile) [$21.7 billion, $21.7 billion]

The histogram shows the distribution of 1% Treaty Annual Trial Subsidies across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: 1% Treaty Annual Trial Subsidies

Probability of Exceeding Threshold: 1% Treaty Annual Trial Subsidies

This exceedance probability chart shows the likelihood that 1% Treaty Annual Trial Subsidies will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Patient Trial Subsidies Percentage of Treaty Funding: 79.9%

Percentage of treaty funding going directly to patient trial subsidies

Inputs:

\[ \begin{gathered} Pct_{subsidies} \\ = \frac{Subsidies_{trial,ann}}{Funding_{treaty}} \\ = \frac{\$21.7B}{\$27.2B} \\ = 79.9\% \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ann} \\ = Treasury_{RD,ann} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.7B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Treasury_{RD,ann} \\ = Funding_{treaty} - Payout_{bond,ann} - Funding_{political,ann} \\ = \$27.2B - \$2.72B - \$2.72B \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] where: \[ \begin{gathered} Payout_{bond,ann} \\ = Funding_{treaty} \times Pct_{bond} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] where: \[ \begin{gathered} Funding_{political,ann} \\ = Funding_{treaty} \times Pct_{political} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Patient Trial Subsidies Percentage of Treaty Funding

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
1% Treaty Annual Trial Subsidies (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Patient Trial Subsidies Percentage of Treaty Funding (10,000 simulations)

Monte Carlo Distribution: Patient Trial Subsidies Percentage of Treaty Funding (10,000 simulations)

Simulation Results Summary: Patient Trial Subsidies Percentage of Treaty Funding

Statistic Value
Baseline (deterministic) 79.9%
Mean (expected value) 79.9%
Median (50th percentile) 79.9%
Standard Deviation 0.015%
90% Range (5th-95th percentile) [79.8%, 79.9%]

The histogram shows the distribution of Patient Trial Subsidies Percentage of Treaty Funding across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Patient Trial Subsidies Percentage of Treaty Funding

Probability of Exceeding Threshold: Patient Trial Subsidies Percentage of Treaty Funding

This exceedance probability chart shows the likelihood that Patient Trial Subsidies Percentage of Treaty Funding will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Diseases Without Effective Treatment: 6,650 diseases

Number of diseases without effective treatment. 95% of 7,000 rare diseases lack FDA-approved treatment (per Orphanet 2024). This represents the therapeutic search space that remains unexplored.

Inputs:

\[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \]

Methodology:167

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Diseases Without Effective Treatment

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Number of Rare Diseases Globally (diseases) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Diseases Without Effective Treatment (10,000 simulations)

Monte Carlo Distribution: Diseases Without Effective Treatment (10,000 simulations)

Simulation Results Summary: Diseases Without Effective Treatment

Statistic Value
Baseline (deterministic) 6,650
Mean (expected value) 6,718
Median (50th percentile) 6,629
Standard Deviation 827
90% Range (5th-95th percentile) [5,700, 8,232]

The histogram shows the distribution of Diseases Without Effective Treatment across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Diseases Without Effective Treatment

Probability of Exceeding Threshold: Diseases Without Effective Treatment

This exceedance probability chart shows the likelihood that Diseases Without Effective Treatment will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Ratio of Annual Disease Deaths to 9/11 Terrorism Deaths: 18.4 thousand:1

Ratio of annual disease deaths to 9/11 terrorism deaths

Inputs:

\[ \begin{gathered} Ratio_{dis:terror} \\ = \frac{Deaths_{curable,ann}}{Deaths_{9/11}} \\ = \frac{55M}{3{,}000} \\ = 18{,}400 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Ratio of Annual Disease Deaths to 9/11 Terrorism Deaths

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Deaths from All Diseases and Aging Globally (deaths/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Ratio of Annual Disease Deaths to 9/11 Terrorism Deaths (10,000 simulations)

Monte Carlo Distribution: Ratio of Annual Disease Deaths to 9/11 Terrorism Deaths (10,000 simulations)

Simulation Results Summary: Ratio of Annual Disease Deaths to 9/11 Terrorism Deaths

Statistic Value
Baseline (deterministic) 18.4 thousand:1
Mean (expected value) 18.3 thousand:1
Median (50th percentile) 18.3 thousand:1
Standard Deviation 1,676:1
90% Range (5th-95th percentile) [15.6 thousand:1, 21.1 thousand:1]

The histogram shows the distribution of Ratio of Annual Disease Deaths to 9/11 Terrorism Deaths across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Ratio of Annual Disease Deaths to 9/11 Terrorism Deaths

Probability of Exceeding Threshold: Ratio of Annual Disease Deaths to 9/11 Terrorism Deaths

This exceedance probability chart shows the likelihood that Ratio of Annual Disease Deaths to 9/11 Terrorism Deaths will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Ratio of Annual Disease Deaths to War Deaths: 225:1

Ratio of annual disease deaths to war deaths

Inputs:

\[ \begin{gathered} Ratio_{dis:war} \\ = \frac{Deaths_{curable,ann}}{Deaths_{conflict}} \\ = \frac{55M}{245{,}000} \\ = 225 \end{gathered} \] where: \[ \begin{gathered} Deaths_{conflict} \\ = Deaths_{combat} + Deaths_{state} + Deaths_{terror} \\ = 234{,}000 + 2{,}700 + 8{,}300 \\ = 245{,}000 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Ratio of Annual Disease Deaths to War Deaths

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Conflict Deaths Globally (deaths/year) -0.7790 Strong driver
Annual Deaths from All Diseases and Aging Globally (deaths/year) 0.6094 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Ratio of Annual Disease Deaths to War Deaths (10,000 simulations)

Monte Carlo Distribution: Ratio of Annual Disease Deaths to War Deaths (10,000 simulations)

Simulation Results Summary: Ratio of Annual Disease Deaths to War Deaths

Statistic Value
Baseline (deterministic) 225:1
Mean (expected value) 228:1
Median (50th percentile) 225:1
Standard Deviation 34.3:1
90% Range (5th-95th percentile) [175:1, 288:1]

The histogram shows the distribution of Ratio of Annual Disease Deaths to War Deaths across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Ratio of Annual Disease Deaths to War Deaths

Probability of Exceeding Threshold: Ratio of Annual Disease Deaths to War Deaths

This exceedance probability chart shows the likelihood that Ratio of Annual Disease Deaths to War Deaths will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Drugs Approved Since 1962: 3,100 drugs

Estimated total drugs approved globally since 1962 (62 years × average approval rate). Conservative: uses current rate, actual historical rate was lower in 1960s-80s.

Inputs:

\[ \begin{gathered} N_{drugs,62} \\ = Drugs_{ann,curr} \times 62 \\ = 50 \times 62 \\ = 3{,}100 \end{gathered} \]

Methodology:20

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Total Drugs Approved Since 1962

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Average Annual New Drug Approvals Globally (drugs/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Drugs Approved Since 1962 (10,000 simulations)

Monte Carlo Distribution: Total Drugs Approved Since 1962 (10,000 simulations)

Simulation Results Summary: Total Drugs Approved Since 1962

Statistic Value
Baseline (deterministic) 3,100
Mean (expected value) 3,109
Median (50th percentile) 3,094
Standard Deviation 217
90% Range (5th-95th percentile) [2,790, 3,493]

The histogram shows the distribution of Total Drugs Approved Since 1962 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Drugs Approved Since 1962

Probability of Exceeding Threshold: Total Drugs Approved Since 1962

This exceedance probability chart shows the likelihood that Total Drugs Approved Since 1962 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Drug Cost Increase: 1980s to Current: 13.4x

Drug development cost increase from 1980s to current

Inputs:

\[ \begin{gathered} k_{cost,80s} \\ = \frac{Cost_{dev,curr}}{Cost_{dev,80s}} \\ = \frac{\$2.6B}{\$194M} \\ = 13.4 \end{gathered} \]

Methodology:31

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Drug Cost Increase: 1980s to Current

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pharma Drug Development Cost (Current System) (USD) 0.8327 Strong driver
Drug Development Cost (1980s) (USD) -0.5396 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Drug Cost Increase: 1980s to Current (10,000 simulations)

Monte Carlo Distribution: Drug Cost Increase: 1980s to Current (10,000 simulations)

Simulation Results Summary: Drug Cost Increase: 1980s to Current

Statistic Value
Baseline (deterministic) 13.4x
Mean (expected value) 13.6x
Median (50th percentile) 13.3x
Standard Deviation 3.06x
90% Range (5th-95th percentile) [9.15x, 19.2x]

The histogram shows the distribution of Drug Cost Increase: 1980s to Current across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Drug Cost Increase: 1980s to Current

Probability of Exceeding Threshold: Drug Cost Increase: 1980s to Current

This exceedance probability chart shows the likelihood that Drug Cost Increase: 1980s to Current will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Drug Cost Increase: Pre-1962 to Current: 105x

Drug development cost increase from pre-1962 to current

Inputs:

\[ \begin{gathered} k_{cost,pre62} \\ = \frac{Cost_{dev,curr}}{Cost_{pre62,24}} \\ = \frac{\$2.6B}{\$24.7M} \\ = 105 \end{gathered} \]

Methodology:111

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Drug Cost Increase: Pre-1962 to Current

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pharma Drug Development Cost (Current System) (USD) 0.8709 Strong driver
Pre-1962 Drug Development Cost (2024 Dollars) (USD) -0.4736 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Drug Cost Increase: Pre-1962 to Current (10,000 simulations)

Monte Carlo Distribution: Drug Cost Increase: Pre-1962 to Current (10,000 simulations)

Simulation Results Summary: Drug Cost Increase: Pre-1962 to Current

Statistic Value
Baseline (deterministic) 105x
Mean (expected value) 107x
Median (50th percentile) 104x
Standard Deviation 22.9x
90% Range (5th-95th percentile) [72.8x, 149x]

The histogram shows the distribution of Drug Cost Increase: Pre-1962 to Current across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Drug Cost Increase: Pre-1962 to Current

Probability of Exceeding Threshold: Drug Cost Increase: Pre-1962 to Current

This exceedance probability chart shows the likelihood that Drug Cost Increase: Pre-1962 to Current will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Possible Drug-Disease Combinations: 9.5 million combinations

Total possible drug-disease combinations using existing safe compounds

Inputs:

\[ \begin{gathered} N_{combos} \\ = N_{safe} \times N_{diseases,trial} \\ = 9{,}500 \times 1{,}000 \\ = 9.5M \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Possible Drug-Disease Combinations

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Safe Compounds Available for Testing (compounds) 0.7847 Strong driver
Trial-Relevant Diseases (diseases) 0.5990 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Possible Drug-Disease Combinations (10,000 simulations)

Monte Carlo Distribution: Possible Drug-Disease Combinations (10,000 simulations)

Simulation Results Summary: Possible Drug-Disease Combinations

Statistic Value
Baseline (deterministic) 9.5 million
Mean (expected value) 9.48 million
Median (50th percentile) 9.36 million
Standard Deviation 1.83 million
90% Range (5th-95th percentile) [6.68 million, 12.8 million]

The histogram shows the distribution of Possible Drug-Disease Combinations across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Possible Drug-Disease Combinations

Probability of Exceeding Threshold: Possible Drug-Disease Combinations

This exceedance probability chart shows the likelihood that Possible Drug-Disease Combinations will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Earth Optimization Point Value: $6,671

Value of a single Earth Optimization Point based on the modeled prize pool size (investable assets × participation rate × horizon multiple). CI range reflects participation uncertainty (0.1%-10%).

Inputs:

\[ \begin{gathered} V_{vote} \\ = \frac{Pool}{N_{voters,global}} \\ = \frac{\$27.5T}{4.13B} \\ = \$6.67K \end{gathered} \] where: \[ \begin{gathered} Pool \\ = Assets_{invest} \times R_{pool} \times M_{pool} \\ = \$305T \times 1\% \times 9.03 \\ = \$27.5T \end{gathered} \] where: \[ M_{pool} = (1 + r_{pool})^{Y_{50\%} - Y_0} \] where: \[ \begin{gathered} r_{pool} \\ = r_{VC,gross} + \Delta r_{scale} + \alpha_{crowd} \\ + \alpha_{home} \\ = 17\% + -2.5\% + 0.5\% + 0.8\% \\ = 15.8\% \end{gathered} \] where: \[ \begin{gathered} Y_{50\%} \\ = Y_0 \\ + \frac{\ln\left(0.50 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Earth Optimization Point Value

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Prize Pool Size (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Earth Optimization Point Value (10,000 simulations)

Monte Carlo Distribution: Earth Optimization Point Value (10,000 simulations)

Simulation Results Summary: Earth Optimization Point Value

Statistic Value
Baseline (deterministic) $6,671
Mean (expected value) $6,510
Median (50th percentile) $2,429
Standard Deviation $11,576
90% Range (5th-95th percentile) [$531, $26,504]

The histogram shows the distribution of Earth Optimization Point Value across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Earth Optimization Point Value

Probability of Exceeding Threshold: Earth Optimization Point Value

This exceedance probability chart shows the likelihood that Earth Optimization Point Value will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Earth Optimization Points Payout (2 Claims): $13,341

Payout for a depositor who recruits 2 verified participants (earning 2 Earth Optimization Points). CI range reflects participation uncertainty.

Inputs:

\[ V_{2claims} = V_{vote} \times 2 = \$6.67K \times 2 = \$13.3K \] where: \[ \begin{gathered} V_{vote} \\ = \frac{Pool}{N_{voters,global}} \\ = \frac{\$27.5T}{4.13B} \\ = \$6.67K \end{gathered} \] where: \[ \begin{gathered} Pool \\ = Assets_{invest} \times R_{pool} \times M_{pool} \\ = \$305T \times 1\% \times 9.03 \\ = \$27.5T \end{gathered} \] where: \[ M_{pool} = (1 + r_{pool})^{Y_{50\%} - Y_0} \] where: \[ \begin{gathered} r_{pool} \\ = r_{VC,gross} + \Delta r_{scale} + \alpha_{crowd} \\ + \alpha_{home} \\ = 17\% + -2.5\% + 0.5\% + 0.8\% \\ = 15.8\% \end{gathered} \] where: \[ \begin{gathered} Y_{50\%} \\ = Y_0 \\ + \frac{\ln\left(0.50 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Earth Optimization Points Payout (2 Claims)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Earth Optimization Point Value (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Earth Optimization Points Payout (2 Claims) (10,000 simulations)

Monte Carlo Distribution: Earth Optimization Points Payout (2 Claims) (10,000 simulations)

Simulation Results Summary: Earth Optimization Points Payout (2 Claims)

Statistic Value
Baseline (deterministic) $13,341
Mean (expected value) $13,020
Median (50th percentile) $4,858
Standard Deviation $23,152
90% Range (5th-95th percentile) [$1,061, $53,009]

The histogram shows the distribution of Earth Optimization Points Payout (2 Claims) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Earth Optimization Points Payout (2 Claims)

Probability of Exceeding Threshold: Earth Optimization Points Payout (2 Claims)

This exceedance probability chart shows the likelihood that Earth Optimization Points Payout (2 Claims) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Cumulative Efficacy Testing Cost (1962-2024): $4.84 trillion

Cumulative Phase 2/3 efficacy testing cost since 1962. Uses direct Phase 2/3 cost per drug - this is a LOWER BOUND because it excludes opportunity cost of delays, compounds abandoned due to cost barrier, and regulatory overhead.

Inputs:

\[ \begin{gathered} Cost_{eff,cumul} \\ = Cost_{P2+P3} \times N_{drugs,62} \\ = \$1.56B \times 3{,}100 \\ = \$4.84T \end{gathered} \] where: \[ \begin{gathered} N_{drugs,62} \\ = Drugs_{ann,curr} \times 62 \\ = 50 \times 62 \\ = 3{,}100 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Cumulative Efficacy Testing Cost (1962-2024)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pharma Phase 2/3 Cost Barrier Per Drug (USD) 0.8781 Strong driver
Total Drugs Approved Since 1962 (drugs) 0.4846 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Cumulative Efficacy Testing Cost (1962-2024) (10,000 simulations)

Monte Carlo Distribution: Cumulative Efficacy Testing Cost (1962-2024) (10,000 simulations)

Simulation Results Summary: Cumulative Efficacy Testing Cost (1962-2024)

Statistic Value
Baseline (deterministic) $4.84 trillion
Mean (expected value) $4.86 trillion
Median (50th percentile) $4.83 trillion
Standard Deviation $701 billion
90% Range (5th-95th percentile) [$3.75 trillion, $6.05 trillion]

The histogram shows the distribution of Cumulative Efficacy Testing Cost (1962-2024) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Cumulative Efficacy Testing Cost (1962-2024)

Probability of Exceeding Threshold: Cumulative Efficacy Testing Cost (1962-2024)

This exceedance probability chart shows the likelihood that Cumulative Efficacy Testing Cost (1962-2024) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Efficacy Lag Deaths (9/11 Equivalents): 34,132 9/11s

Total deaths from efficacy lag expressed in 9/11 equivalents. Makes the mortality cost viscerally understandable: how many September 11ths worth of deaths did the 1962 efficacy requirements cause?

Inputs:

\[ \begin{gathered} N_{9/11,equiv} \\ = \frac{Deaths_{lag,total}}{N_{9/11}} \\ = \frac{102M}{2{,}980} \\ = 34{,}100 \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Efficacy Lag Deaths (9/11 Equivalents)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Deaths from Historical Progress Delays (deaths) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Efficacy Lag Deaths (9/11 Equivalents) (10,000 simulations)

Monte Carlo Distribution: Efficacy Lag Deaths (9/11 Equivalents) (10,000 simulations)

Simulation Results Summary: Efficacy Lag Deaths (9/11 Equivalents)

Statistic Value
Baseline (deterministic) 34,132
Mean (expected value) 34,033
Median (50th percentile) 32,344
Standard Deviation 12,202
90% Range (5th-95th percentile) [17,055, 56,926]

The histogram shows the distribution of Efficacy Lag Deaths (9/11 Equivalents) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Efficacy Lag Deaths (9/11 Equivalents)

Probability of Exceeding Threshold: Efficacy Lag Deaths (9/11 Equivalents)

This exceedance probability chart shows the likelihood that Efficacy Lag Deaths (9/11 Equivalents) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treatment Delay YLD - Annual: 2.01 billion DALYs

Annual YLD from treatment delay: patients receiving chronic disease treatment would have collectively avoided this disability if treatments were available 8.2 years earlier. Represents morbidity burden for treatment beneficiaries (distinct from mortality burden).

Inputs:

\[ \begin{gathered} YLD_{treat\_delay} \\ = N_{treated} \times T_{lag} \times \Delta DW_{treat} \\ = 982M \times 8.2 \times 0.25 \\ = 2.01B \end{gathered} \] where: \[ \begin{gathered} N_{treated} \\ = DOT_{chronic} \times 0.000767 \\ = 1.28T \times 0.000767 \\ = 982M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Treatment Delay YLD - Annual

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Regulatory Delay for Efficacy Testing Post-Safety Verification (years) 0.7122 Strong driver
Treatment Disability Reduction (weight) 0.5988 Strong driver
Annual Chronic Disease Patients Treated (people) 0.2936 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treatment Delay YLD - Annual (10,000 simulations)

Monte Carlo Distribution: Treatment Delay YLD - Annual (10,000 simulations)

Simulation Results Summary: Treatment Delay YLD - Annual

Statistic Value
Baseline (deterministic) 2.01 billion
Mean (expected value) 2.02 billion
Median (50th percentile) 1.95 billion
Standard Deviation 682 million
90% Range (5th-95th percentile) [1.02 billion, 3.24 billion]

The histogram shows the distribution of Treatment Delay YLD - Annual across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treatment Delay YLD - Annual

Probability of Exceeding Threshold: Treatment Delay YLD - Annual

This exceedance probability chart shows the likelihood that Treatment Delay YLD - Annual will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

EOS Equity Value (V): $74.1 trillion

Total addressable value for EOS equity: NPV of the fraction of political dysfunction tax EOS captures as portfolio appreciation. V in the share price formula: price = P(I) x V / total_shares. Calculated as dysfunction_tax x capture_pct / discount_rate.

Inputs:

\[ \begin{gathered} V_{EOS} \\ = O_{total} \times \frac{\phi_{capture}}{r_{discount}} \end{gathered} \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for EOS Equity Value (V)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
EOS Social Value Capture Rate (percent) 0.7820 Strong driver
Global Opportunity Cost Total (USD) 0.5615 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: EOS Equity Value (V) (10,000 simulations)

Monte Carlo Distribution: EOS Equity Value (V) (10,000 simulations)

Simulation Results Summary: EOS Equity Value (V)

Statistic Value
Baseline (deterministic) $74.1 trillion
Mean (expected value) $73.4 trillion
Median (50th percentile) $63.7 trillion
Standard Deviation $40.8 trillion
90% Range (5th-95th percentile) [$27.2 trillion, $153 trillion]

The histogram shows the distribution of EOS Equity Value (V) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: EOS Equity Value (V)

Probability of Exceeding Threshold: EOS Equity Value (V)

This exceedance probability chart shows the likelihood that EOS Equity Value (V) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Ethyl Shareholder Counterfactual Wealth Gain (Ethanol Switch, 1923): 23.2%

How much richer a diversified Ethyl Gasoline Corporation shareholder would have been by 1996 had the board switched to ethanol in 1923: the economy compounds faster without the lead-induced IQ loss, and diversified shareholder wealth scales with the economy. Central ~23%; the Monte Carlo range spans roughly ‘twenty to sixty percent richer’. Foregone TEL royalties are second-order against the economy-wide effect.

Inputs:

\[ \begin{gathered} \Delta W_{Ethyl} \\ = (1 + \Delta IQ_{lead} \times \beta_{IQ})^{T_{lead}} - 1 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Ethyl Shareholder Counterfactual Wealth Gain (Ethanol Switch, 1923)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Average IQ Loss from Leaded Gasoline (IQ points) 0.7610 Strong driver
GDP Growth Effect per National IQ Point (rate) 0.5812 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Ethyl Shareholder Counterfactual Wealth Gain (Ethanol Switch, 1923) (10,000 simulations)

Monte Carlo Distribution: Ethyl Shareholder Counterfactual Wealth Gain (Ethanol Switch, 1923) (10,000 simulations)

Simulation Results Summary: Ethyl Shareholder Counterfactual Wealth Gain (Ethanol Switch, 1923)

Statistic Value
Baseline (deterministic) 23.2%
Mean (expected value) 24.1%
Median (50th percentile) 20.5%
Standard Deviation 14.3%
90% Range (5th-95th percentile) [8.41%, 52.4%]

The histogram shows the distribution of Ethyl Shareholder Counterfactual Wealth Gain (Ethanol Switch, 1923) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Ethyl Shareholder Counterfactual Wealth Gain (Ethanol Switch, 1923)

Probability of Exceeding Threshold: Ethyl Shareholder Counterfactual Wealth Gain (Ethanol Switch, 1923)

This exceedance probability chart shows the likelihood that Ethyl Shareholder Counterfactual Wealth Gain (Ethanol Switch, 1923) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Deaths from Historical Progress Delays: 102 million deaths

Total deaths from delaying existing drugs over 8.2-year efficacy lag. One-time impact of eliminating Phase 2-4 testing delay for drugs already approved 1962-2024. Based on Lichtenberg (2019) estimate of 12M lives saved annually × 8.2 years efficacy lag. Excludes innovation acceleration effects.

Inputs:

\[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Total Deaths from Historical Progress Delays

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Lives Saved by Pharmaceuticals (deaths) 0.7195 Strong driver
Regulatory Delay for Efficacy Testing Post-Safety Verification (years) 0.6685 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Deaths from Historical Progress Delays (10,000 simulations)

Monte Carlo Distribution: Total Deaths from Historical Progress Delays (10,000 simulations)

Simulation Results Summary: Total Deaths from Historical Progress Delays

Statistic Value
Baseline (deterministic) 102 million
Mean (expected value) 101 million
Median (50th percentile) 96.3 million
Standard Deviation 36.3 million
90% Range (5th-95th percentile) [50.8 million, 169 million]

The histogram shows the distribution of Total Deaths from Historical Progress Delays across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Deaths from Historical Progress Delays

Probability of Exceeding Threshold: Total Deaths from Historical Progress Delays

This exceedance probability chart shows the likelihood that Total Deaths from Historical Progress Delays will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Economic Loss from Historical Progress Delays: $290 trillion

Total economic loss from delaying existing drugs over 8.2-year efficacy lag. One-time benefit of eliminating Phase 2-4 delay. Excludes innovation acceleration effects. Years lost per death uses WHO conditional remaining life expectancy at 60 adjusted to the mean lag-death age (~19 years/death), not life-expectancy-at-birth minus age, which understated remaining years by ~40%.

Inputs:

\[ \begin{gathered} Loss_{lag} \\ = \text{DEATHS\_TOTAL} \times (REMAINING_LIFE_EXPECTANCY_AT_60 - (\text{MEAN\_AGE\_OF\_DEATH} - 60)) \times \text{VSLY} \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Total Economic Loss from Historical Progress Delays

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Deaths from Historical Progress Delays (deaths) 0.8120 Strong driver
Standard Economic Value per QALY (USD/QALY) 0.4152 Moderate driver
Mean Age of Preventable Death from Post-Safety Efficacy Delay (years) -0.3576 Moderate driver
Remaining Life Expectancy at Age 60 (Global) (years) 0.0693 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Economic Loss from Historical Progress Delays (10,000 simulations)

Monte Carlo Distribution: Total Economic Loss from Historical Progress Delays (10,000 simulations)

Simulation Results Summary: Total Economic Loss from Historical Progress Delays

Statistic Value
Baseline (deterministic) $290 trillion
Mean (expected value) $288 trillion
Median (50th percentile) $265 trillion
Standard Deviation $127 trillion
90% Range (5th-95th percentile) [$123 trillion, $527 trillion]

The histogram shows the distribution of Total Economic Loss from Historical Progress Delays across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Economic Loss from Historical Progress Delays

Probability of Exceeding Threshold: Total Economic Loss from Historical Progress Delays

This exceedance probability chart shows the likelihood that Total Economic Loss from Historical Progress Delays will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Therapeutic Frontier Exploration Ratio: 0.342%

Fraction of possible drug-disease space actually tested (<1%)

Inputs:

\[ \begin{gathered} Ratio_{explore} \\ = \frac{N_{tested}}{N_{combos}} \\ = \frac{32{,}500}{9.5M} \\ = 0.342\% \end{gathered} \] where: \[ \begin{gathered} N_{combos} \\ = N_{safe} \times N_{diseases,trial} \\ = 9{,}500 \times 1{,}000 \\ = 9.5M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Therapeutic Frontier Exploration Ratio

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Tested Drug-Disease Relationships (relationships) 0.7794 Strong driver
Possible Drug-Disease Combinations (combinations) -0.5916 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Therapeutic Frontier Exploration Ratio (10,000 simulations)

Monte Carlo Distribution: Therapeutic Frontier Exploration Ratio (10,000 simulations)

Simulation Results Summary: Therapeutic Frontier Exploration Ratio

Statistic Value
Baseline (deterministic) 0.342%
Mean (expected value) 0.354%
Median (50th percentile) 0.337%
Standard Deviation 0.116%
90% Range (5th-95th percentile) [0.197%, 0.569%]

The histogram shows the distribution of Therapeutic Frontier Exploration Ratio across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Therapeutic Frontier Exploration Ratio

Probability of Exceeding Threshold: Therapeutic Frontier Exploration Ratio

This exceedance probability chart shows the likelihood that Therapeutic Frontier Exploration Ratio will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

FDA Efficacy Testing to Oxford RECOVERY Trial Time Multiplier: 32.8x

Efficacy testing time vs Oxford RECOVERY trial (8.2 years ÷ 3 months = 32.8x slower). Compares efficacy lag only (post-safety Phase II/III) since RECOVERY was an efficacy trial.

Inputs:

\[ \begin{gathered} k_{FDA:RECOVERY} \\ = T_{lag} \times \text{MONTHS\_PER\_YEAR} / T_{RECOVERY} \end{gathered} \]

Methodology:97

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for FDA Efficacy Testing to Oxford RECOVERY Trial Time Multiplier

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Regulatory Delay for Efficacy Testing Post-Safety Verification (years) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: FDA Efficacy Testing to Oxford RECOVERY Trial Time Multiplier (10,000 simulations)

Monte Carlo Distribution: FDA Efficacy Testing to Oxford RECOVERY Trial Time Multiplier (10,000 simulations)

Simulation Results Summary: FDA Efficacy Testing to Oxford RECOVERY Trial Time Multiplier

Statistic Value
Baseline (deterministic) 32.8x
Mean (expected value) 32.8x
Median (50th percentile) 32.8x
Standard Deviation 7.92x
90% Range (5th-95th percentile) [19.4x, 45.9x]

The histogram shows the distribution of FDA Efficacy Testing to Oxford RECOVERY Trial Time Multiplier across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: FDA Efficacy Testing to Oxford RECOVERY Trial Time Multiplier

Probability of Exceeding Threshold: FDA Efficacy Testing to Oxford RECOVERY Trial Time Multiplier

This exceedance probability chart shows the likelihood that FDA Efficacy Testing to Oxford RECOVERY Trial Time Multiplier will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Full Corporate Activist-Stake Cost (All Sectors): $884 billion

Realistic cost to take an activist (non-control) stake across EVERY government-controlling industry at once: military, pharma, tech, insurance, and oil and gas. This is the symmetric activist version of the takeover. Outright majority control of all of them is not even possible (founder and mutual control of Meta, Alphabet, Oracle, and the insurance mutuals), which is exactly why the activist tier, not a 50.1% buyout, is the operative model outside the defense primes.

Inputs:

\[ \begin{gathered} C_{corp,activist} \\ = (MarketCap_{US} + MarketCap_{allied} \\ + MarketCap_{sectors}) \times f_{activist} \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Monte Carlo Distribution

Monte Carlo note: Full Corporate Activist-Stake Cost (All Sectors) is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 8.839e-01)

Statistic Value
Baseline (deterministic) $884 billion
Mean (expected value) $884 billion
Median (50th percentile) $884 billion
Standard Deviation $0
90% Range (5th-95th percentile) [$884 billion, $884 billion]

Exceedance Probability

Exceedance note: Full Corporate Activist-Stake Cost (All Sectors) collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 8.839e-01)

Approximate deterministic value: $884 billion

Full Corporate Activist-Stake Cost as Share of Global Investable Assets: 0.29%

Activist stake across every government-controlling industry as a share of total global investable assets.

Inputs:

\[ \begin{gathered} C_{corp,activist}/A_{investable} \\ = \frac{C_{corp,activist}}{Assets_{invest}} \\ = \frac{\$884B}{\$305T} \\ = 0.29\% \end{gathered} \] where: \[ \begin{gathered} C_{corp,activist} \\ = (MarketCap_{US} + MarketCap_{allied} \\ + MarketCap_{sectors}) \times f_{activist} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Monte Carlo Distribution

Monte Carlo note: Full Corporate Activist-Stake Cost as Share of Global Investable Assets is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 0.29%
Mean (expected value) 0.29%
Median (50th percentile) 0.29%
Standard Deviation 4.34e-17%
90% Range (5th-95th percentile) [0.29%, 0.29%]

Exceedance Probability

Exceedance note: Full Corporate Activist-Stake Cost as Share of Global Investable Assets collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 0.29%

Total Annual Conflict Deaths Globally: 245 thousand deaths/year

Total annual conflict deaths globally (sum of combat, terror, state violence)

Inputs:

\[ \begin{gathered} Deaths_{conflict} \\ = Deaths_{combat} + Deaths_{state} + Deaths_{terror} \\ = 234{,}000 + 2{,}700 + 8{,}300 \\ = 245{,}000 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total Annual Conflict Deaths Globally

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Deaths from Active Combat Worldwide (deaths/year) 0.9979 Strong driver
Annual Deaths from Terror Attacks Globally (deaths/year) 0.0508 Minimal effect
Annual Deaths from State Violence (deaths/year) 0.0288 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Annual Conflict Deaths Globally (10,000 simulations)

Monte Carlo Distribution: Total Annual Conflict Deaths Globally (10,000 simulations)

Simulation Results Summary: Total Annual Conflict Deaths Globally

Statistic Value
Baseline (deterministic) 245 thousand
Mean (expected value) 245 thousand
Median (50th percentile) 243 thousand
Standard Deviation 29,010
90% Range (5th-95th percentile) [198 thousand, 297 thousand]

The histogram shows the distribution of Total Annual Conflict Deaths Globally across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Annual Conflict Deaths Globally

Probability of Exceeding Threshold: Total Annual Conflict Deaths Globally

This exceedance probability chart shows the likelihood that Total Annual Conflict Deaths Globally will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Annual Cost of War Worldwide: $11.4 trillion

Total annual cost of war worldwide (direct + indirect costs)

Inputs:

\[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total Annual Cost of War Worldwide

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Direct War Costs (USD/year) 0.8460 Strong driver
Total Annual Indirect War Costs (USD/year) 0.5312 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Annual Cost of War Worldwide (10,000 simulations)

Monte Carlo Distribution: Total Annual Cost of War Worldwide (10,000 simulations)

Simulation Results Summary: Total Annual Cost of War Worldwide

Statistic Value
Baseline (deterministic) $11.4 trillion
Mean (expected value) $11.3 trillion
Median (50th percentile) $11.3 trillion
Standard Deviation $877 billion
90% Range (5th-95th percentile) [$9.96 trillion, $12.9 trillion]

The histogram shows the distribution of Total Annual Cost of War Worldwide across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Annual Cost of War Worldwide

Probability of Exceeding Threshold: Total Annual Cost of War Worldwide

This exceedance probability chart shows the likelihood that Total Annual Cost of War Worldwide will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Cost of Combat Deaths: $2.34 trillion

Annual cost of combat deaths (deaths × VSL)

Inputs:

\[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual Cost of Combat Deaths

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Value of Statistical Life (USD) 0.9051 Strong driver
Annual Deaths from Active Combat Worldwide (deaths/year) 0.4089 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Cost of Combat Deaths (10,000 simulations)

Monte Carlo Distribution: Annual Cost of Combat Deaths (10,000 simulations)

Simulation Results Summary: Annual Cost of Combat Deaths

Statistic Value
Baseline (deterministic) $2.34 trillion
Mean (expected value) $2.31 trillion
Median (50th percentile) $2.23 trillion
Standard Deviation $699 billion
90% Range (5th-95th percentile) [$1.27 trillion, $3.55 trillion]

The histogram shows the distribution of Annual Cost of Combat Deaths across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Cost of Combat Deaths

Probability of Exceeding Threshold: Annual Cost of Combat Deaths

This exceedance probability chart shows the likelihood that Annual Cost of Combat Deaths will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Cost of State Violence Deaths: $27 billion

Annual cost of state violence deaths (deaths × VSL)

Inputs:

\[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual Cost of State Violence Deaths

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Deaths from State Violence (deaths/year) 0.7256 Strong driver
Value of Statistical Life (USD) 0.6501 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Cost of State Violence Deaths (10,000 simulations)

Monte Carlo Distribution: Annual Cost of State Violence Deaths (10,000 simulations)

Simulation Results Summary: Annual Cost of State Violence Deaths

Statistic Value
Baseline (deterministic) $27 billion
Mean (expected value) $26.7 billion
Median (50th percentile) $24.5 billion
Standard Deviation $11.3 billion
90% Range (5th-95th percentile) [$12.2 billion, $48.2 billion]

The histogram shows the distribution of Annual Cost of State Violence Deaths across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Cost of State Violence Deaths

Probability of Exceeding Threshold: Annual Cost of State Violence Deaths

This exceedance probability chart shows the likelihood that Annual Cost of State Violence Deaths will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Cost of Terror Deaths: $83 billion

Annual cost of terror deaths (deaths × VSL)

Inputs:

\[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual Cost of Terror Deaths

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Value of Statistical Life (USD) 0.8343 Strong driver
Annual Deaths from Terror Attacks Globally (deaths/year) 0.5350 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Cost of Terror Deaths (10,000 simulations)

Monte Carlo Distribution: Annual Cost of Terror Deaths (10,000 simulations)

Simulation Results Summary: Annual Cost of Terror Deaths

Statistic Value
Baseline (deterministic) $83 billion
Mean (expected value) $82.2 billion
Median (50th percentile) $78.9 billion
Standard Deviation $27 billion
90% Range (5th-95th percentile) [$43.2 billion, $132 billion]

The histogram shows the distribution of Annual Cost of Terror Deaths across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Cost of Terror Deaths

Probability of Exceeding Threshold: Annual Cost of Terror Deaths

This exceedance probability chart shows the likelihood that Annual Cost of Terror Deaths will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Annual Human Life Losses from Conflict: $2.45 trillion

Total annual human life losses from conflict (sum of combat, terror, state violence)

Inputs:

\[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total Annual Human Life Losses from Conflict

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Cost of Combat Deaths (USD/year) 0.9622 Strong driver
Annual Cost of Terror Deaths (USD/year) 0.0372 Minimal effect
Annual Cost of State Violence Deaths (USD/year) 0.0156 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Annual Human Life Losses from Conflict (10,000 simulations)

Monte Carlo Distribution: Total Annual Human Life Losses from Conflict (10,000 simulations)

Simulation Results Summary: Total Annual Human Life Losses from Conflict

Statistic Value
Baseline (deterministic) $2.45 trillion
Mean (expected value) $2.41 trillion
Median (50th percentile) $2.34 trillion
Standard Deviation $727 billion
90% Range (5th-95th percentile) [$1.34 trillion, $3.71 trillion]

The histogram shows the distribution of Total Annual Human Life Losses from Conflict across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Annual Human Life Losses from Conflict

Probability of Exceeding Threshold: Total Annual Human Life Losses from Conflict

This exceedance probability chart shows the likelihood that Total Annual Human Life Losses from Conflict will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Annual Infrastructure Destruction: $1.88 trillion

Total annual infrastructure destruction (sum of transportation, energy, communications, water, education, healthcare)

Inputs:

\[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total Annual Infrastructure Destruction

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Infrastructure Damage to Transportation from Conflict (USD) 0.6025 Strong driver
Annual Infrastructure Damage to Energy Systems from Conflict (USD) 0.5271 Strong driver
Annual Infrastructure Damage to Communications from Conflict (USD) 0.3730 Moderate driver
Annual Infrastructure Damage to Water Systems from Conflict (USD) 0.3317 Moderate driver
Annual Infrastructure Damage to Education Facilities from Conflict (USD) 0.2943 Weak driver
Annual Infrastructure Damage to Healthcare Facilities from Conflict (USD) 0.2074 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Annual Infrastructure Destruction (10,000 simulations)

Monte Carlo Distribution: Total Annual Infrastructure Destruction (10,000 simulations)

Simulation Results Summary: Total Annual Infrastructure Destruction

Statistic Value
Baseline (deterministic) $1.88 trillion
Mean (expected value) $1.87 trillion
Median (50th percentile) $1.87 trillion
Standard Deviation $136 billion
90% Range (5th-95th percentile) [$1.65 trillion, $2.1 trillion]

The histogram shows the distribution of Total Annual Infrastructure Destruction across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Annual Infrastructure Destruction

Probability of Exceeding Threshold: Total Annual Infrastructure Destruction

This exceedance probability chart shows the likelihood that Total Annual Infrastructure Destruction will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Annual Savings: $31.1 trillion

Global annual savings in USD (savings rate × GDP)

Inputs:

\[ \begin{gathered} S_{annual} \\ = s_{global} \times GDP_{global} \\ = 27\% \times \$115T \\ = \$31.1T \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Global Annual Savings

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Gross Savings Rate (percent) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Annual Savings (10,000 simulations)

Monte Carlo Distribution: Global Annual Savings (10,000 simulations)

Simulation Results Summary: Global Annual Savings

Statistic Value
Baseline (deterministic) $31.1 trillion
Mean (expected value) $31.1 trillion
Median (50th percentile) $31.1 trillion
Standard Deviation $1.68 trillion
90% Range (5th-95th percentile) [$28.2 trillion, $34 trillion]

The histogram shows the distribution of Global Annual Savings across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Annual Savings

Probability of Exceeding Threshold: Global Annual Savings

This exceedance probability chart shows the likelihood that Global Annual Savings will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Annual Savings Per Capita: $3,881

Global annual savings divided by global population. Useful as a rough average-person default for prize-contribution sizing.

Inputs:

\[ \begin{gathered} S_{annual,pc} \\ = \frac{S_{annual}}{Pop_{global}} \\ = \frac{\$31.1T}{8B} \\ = \$3.88K \end{gathered} \] where: \[ \begin{gathered} S_{annual} \\ = s_{global} \times GDP_{global} \\ = 27\% \times \$115T \\ = \$31.1T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Global Annual Savings Per Capita

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Annual Savings (USD) 0.9740 Strong driver
Global Population in 2024 (of people) -0.2192 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Annual Savings Per Capita (10,000 simulations)

Monte Carlo Distribution: Global Annual Savings Per Capita (10,000 simulations)

Simulation Results Summary: Global Annual Savings Per Capita

Statistic Value
Baseline (deterministic) $3,881
Mean (expected value) $3,885
Median (50th percentile) $3,885
Standard Deviation $215
90% Range (5th-95th percentile) [$3,518, $4,250]

The histogram shows the distribution of Global Annual Savings Per Capita across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Annual Savings Per Capita

Probability of Exceeding Threshold: Global Annual Savings Per Capita

This exceedance probability chart shows the likelihood that Global Annual Savings Per Capita will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Annual Trade Disruption: $616 billion

Total annual trade disruption (sum of shipping, supply chain, energy prices, currency instability)

Inputs:

\[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total Annual Trade Disruption

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Trade Disruption Costs from Shipping Disruptions (USD) 0.7219 Strong driver
Annual Trade Disruption Costs from Supply Chain Disruptions (USD) 0.5511 Strong driver
Annual Trade Disruption Costs from Energy Price Volatility (USD) 0.3677 Moderate driver
Annual Trade Disruption Costs from Currency Instability (USD) 0.1676 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Annual Trade Disruption (10,000 simulations)

Monte Carlo Distribution: Total Annual Trade Disruption (10,000 simulations)

Simulation Results Summary: Total Annual Trade Disruption

Statistic Value
Baseline (deterministic) $616 billion
Mean (expected value) $615 billion
Median (50th percentile) $613 billion
Standard Deviation $57.8 billion
90% Range (5th-95th percentile) [$526 billion, $716 billion]

The histogram shows the distribution of Total Annual Trade Disruption across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Annual Trade Disruption

Probability of Exceeding Threshold: Total Annual Trade Disruption

This exceedance probability chart shows the likelihood that Total Annual Trade Disruption will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Annual Direct War Costs: $7.66 trillion

Total annual direct war costs (military spending + infrastructure + human life + trade disruption)

Inputs:

\[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total Annual Direct War Costs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Human Life Losses from Conflict (USD/year) 0.9800 Strong driver
Total Annual Infrastructure Destruction (USD/year) 0.1840 Weak driver
Total Annual Trade Disruption (USD/year) 0.0780 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Annual Direct War Costs (10,000 simulations)

Monte Carlo Distribution: Total Annual Direct War Costs (10,000 simulations)

Simulation Results Summary: Total Annual Direct War Costs

Statistic Value
Baseline (deterministic) $7.66 trillion
Mean (expected value) $7.62 trillion
Median (50th percentile) $7.56 trillion
Standard Deviation $742 billion
90% Range (5th-95th percentile) [$6.52 trillion, $8.95 trillion]

The histogram shows the distribution of Total Annual Direct War Costs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Annual Direct War Costs

Probability of Exceeding Threshold: Total Annual Direct War Costs

This exceedance probability chart shows the likelihood that Total Annual Direct War Costs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Annual Indirect War Costs: $3.7 trillion

Total annual indirect war costs (opportunity cost + veterans + refugees + environment + mental health + lost productivity)

Inputs:

\[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total Annual Indirect War Costs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Lost Economic Growth from Military Spending Opportunity Cost (USD) 0.9810 Strong driver
Annual Lost Productivity from Conflict Casualties (USD) 0.1093 Weak driver
Annual PTSD and Mental Health Costs from Conflict (USD) 0.0841 Minimal effect
Annual Veteran Healthcare Costs (USD) 0.0737 Minimal effect
Annual Refugee Support Costs (USD) 0.0543 Minimal effect
Annual Environmental Damage and Restoration Costs from Conflict (USD) 0.0366 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Annual Indirect War Costs (10,000 simulations)

Monte Carlo Distribution: Total Annual Indirect War Costs (10,000 simulations)

Simulation Results Summary: Total Annual Indirect War Costs

Statistic Value
Baseline (deterministic) $3.7 trillion
Mean (expected value) $3.7 trillion
Median (50th percentile) $3.66 trillion
Standard Deviation $466 billion
90% Range (5th-95th percentile) [$2.98 trillion, $4.56 trillion]

The histogram shows the distribution of Total Annual Indirect War Costs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Annual Indirect War Costs

Probability of Exceeding Threshold: Total Annual Indirect War Costs

This exceedance probability chart shows the likelihood that Total Annual Indirect War Costs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Average Hourly Income: $7.19

Global average hourly income derived from GDP per capita. Uses average (not median), which overestimates the cost of sharing, making the payoff ratio conservative.

Inputs:

\[ \begin{gathered} \bar{w}_{hour} \\ = \frac{\bar{y}_{0}}{H_{work}} \\ = \frac{\$14.4K}{2{,}000} \\ = \$7.19 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Global Average Hourly Income

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Average Income (2025 Baseline) (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Average Hourly Income (10,000 simulations)

Monte Carlo Distribution: Global Average Hourly Income (10,000 simulations)

Simulation Results Summary: Global Average Hourly Income

Statistic Value
Baseline (deterministic) $7.19
Mean (expected value) $7.19
Median (50th percentile) $7.19
Standard Deviation $0.087
90% Range (5th-95th percentile) [$7.04, $7.34]

The histogram shows the distribution of Global Average Hourly Income across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Average Hourly Income

Probability of Exceeding Threshold: Global Average Hourly Income

This exceedance probability chart shows the likelihood that Global Average Hourly Income will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Average Income (2025 Baseline): $14,375

Global average income (GDP per capita) in 2025 baseline.

Inputs:

\[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Global Average Income (2025 Baseline)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Population in 2024 (of people) -0.9999 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Average Income (2025 Baseline) (10,000 simulations)

Monte Carlo Distribution: Global Average Income (2025 Baseline) (10,000 simulations)

Simulation Results Summary: Global Average Income (2025 Baseline)

Statistic Value
Baseline (deterministic) $14,375
Mean (expected value) $14,376
Median (50th percentile) $14,372
Standard Deviation $175
90% Range (5th-95th percentile) [$14,081, $14,682]

The histogram shows the distribution of Global Average Income (2025 Baseline) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Average Income (2025 Baseline)

Probability of Exceeding Threshold: Global Average Income (2025 Baseline)

This exceedance probability chart shows the likelihood that Global Average Income (2025 Baseline) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Average Remaining Years (Median Person): 42.9 years

Average remaining lifespan for the median-age person. Conservative: uses life expectancy at birth minus median age, which underestimates remaining years because survivors to age 30 have higher conditional life expectancy.

Inputs:

\[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Average Remaining Years (Median Person)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Life Expectancy (2024) (years) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Average Remaining Years (Median Person) (10,000 simulations)

Monte Carlo Distribution: Average Remaining Years (Median Person) (10,000 simulations)

Simulation Results Summary: Average Remaining Years (Median Person)

Statistic Value
Baseline (deterministic) 42.9
Mean (expected value) 42.9
Median (50th percentile) 42.9
Standard Deviation 1.91
90% Range (5th-95th percentile) [39.6, 46.1]

The histogram shows the distribution of Average Remaining Years (Median Person) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Average Remaining Years (Median Person)

Probability of Exceeding Threshold: Average Remaining Years (Median Person)

This exceedance probability chart shows the likelihood that Average Remaining Years (Median Person) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Bullets Purchasable with Global Military Budget: 6.8 trillion rounds

Number of 5.56mm NATO rounds purchasable with the entire global military budget at bulk procurement prices. Pure purchasing power calculation, not a combat efficiency estimate.

Inputs:

\[ \begin{gathered} N_{bullets,yr} \\ = \frac{Spending_{mil}}{c_{bullet}} \\ = \frac{\$2.72T}{\$0.4} \\ = 6.8T \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Bullets Purchasable with Global Military Budget

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Cost per 5.56mm NATO Round (Bulk) (USD) -0.9746 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Bullets Purchasable with Global Military Budget (10,000 simulations)

Monte Carlo Distribution: Bullets Purchasable with Global Military Budget (10,000 simulations)

Simulation Results Summary: Bullets Purchasable with Global Military Budget

Statistic Value
Baseline (deterministic) 6.8 trillion
Mean (expected value) 6.79 trillion
Median (50th percentile) 6.39 trillion
Standard Deviation 1.74 trillion
90% Range (5th-95th percentile) [4.66 trillion, 10.2 trillion]

The histogram shows the distribution of Bullets Purchasable with Global Military Budget across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Bullets Purchasable with Global Military Budget

Probability of Exceeding Threshold: Bullets Purchasable with Global Military Budget

This exceedance probability chart shows the likelihood that Bullets Purchasable with Global Military Budget will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Coordination Activation Budget: $30.8 billion

Canonical institutional activation threshold: capital required to make participation by the majority-of-humanity coordination target credible through direct referral incentives, verification, payment rails, and global launch operations. This is the main institutional ask, not the prize pool seed benchmark.

Inputs:

\[ \begin{gathered} B_{activate} \\ = C_{ops} + N_{voters,global} \times C_{activate,pp} \\ = \$4B + 4.13B \times \$6.5 \\ = \$30.8B \end{gathered} \] where: \[ \begin{gathered} C_{activate,pp} \\ = R_{activate} + C_{verify,pp} \\ = \$5 + \$1.5 \\ = \$6.5 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Global Coordination Activation Budget

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Activation Cost per Participant (USD) 0.9798 Strong driver
Global Coordination Platform and Operations Cost (USD) 0.2111 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Coordination Activation Budget (10,000 simulations)

Monte Carlo Distribution: Global Coordination Activation Budget (10,000 simulations)

Simulation Results Summary: Global Coordination Activation Budget

Statistic Value
Baseline (deterministic) $30.8 billion
Mean (expected value) $31 billion
Median (50th percentile) $31 billion
Standard Deviation $6.48 billion
90% Range (5th-95th percentile) [$20.4 billion, $41.9 billion]

The histogram shows the distribution of Global Coordination Activation Budget across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Coordination Activation Budget

Probability of Exceeding Threshold: Global Coordination Activation Budget

This exceedance probability chart shows the likelihood that Global Coordination Activation Budget will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Activation Cost per Participant: $6.5

Blended variable activation cost per successful verified participant: direct incentive plus verification and payment operations.

Inputs:

\[ \begin{gathered} C_{activate,pp} \\ = R_{activate} + C_{verify,pp} \\ = \$5 + \$1.5 \\ = \$6.5 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Activation Cost per Participant

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Activation Reward per Verified Participant (USD) 0.9623 Strong driver
Verification and Payment Cost per Participant (USD) 0.2810 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Activation Cost per Participant (10,000 simulations)

Monte Carlo Distribution: Activation Cost per Participant (10,000 simulations)

Simulation Results Summary: Activation Cost per Participant

Statistic Value
Baseline (deterministic) $6.5
Mean (expected value) $6.54
Median (50th percentile) $6.52
Standard Deviation $1.54
90% Range (5th-95th percentile) [$4, $9.14]

The histogram shows the distribution of Activation Cost per Participant across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Activation Cost per Participant

Probability of Exceeding Threshold: Activation Cost per Participant

This exceedance probability chart shows the likelihood that Activation Cost per Participant will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Majority of Humanity Coordination Target: 51.6%

Majority-of-humanity public coordination target as a share of global population, using global registered voters as the current verified-human headcount proxy.

Inputs:

\[ \begin{gathered} R_{humanity,majority} \\ = \frac{N_{voters,global}}{Pop_{global}} \\ = \frac{4.13B}{8B} \\ = 51.6\% \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Majority of Humanity Coordination Target

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Population in 2024 (of people) -0.9999 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Majority of Humanity Coordination Target (10,000 simulations)

Monte Carlo Distribution: Majority of Humanity Coordination Target (10,000 simulations)

Simulation Results Summary: Majority of Humanity Coordination Target

Statistic Value
Baseline (deterministic) 51.6%
Mean (expected value) 51.6%
Median (50th percentile) 51.6%
Standard Deviation 0.627%
90% Range (5th-95th percentile) [50.5%, 52.7%]

The histogram shows the distribution of Majority of Humanity Coordination Target across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Majority of Humanity Coordination Target

Probability of Exceeding Threshold: Majority of Humanity Coordination Target

This exceedance probability chart shows the likelihood that Majority of Humanity Coordination Target will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Destructive Economy (2025): $13.2 trillion

Combined annual cost of military spending and cybercrime. The ‘destructive economy’ that competes with the productive economy.

Inputs:

\[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Global Destructive Economy (2025) is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.322e+01)

Statistic Value
Baseline (deterministic) $13.2 trillion
Mean (expected value) $13.2 trillion
Median (50th percentile) $13.2 trillion
Standard Deviation $0
90% Range (5th-95th percentile) [$13.2 trillion, $13.2 trillion]

Exceedance Probability

Exceedance note: Global Destructive Economy (2025) collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.322e+01)

Approximate deterministic value: $13.2 trillion

Destructive Economy as % of GDP: 11.5%

Destructive economy (military + cybercrime) as percentage of global GDP.

Inputs:

\[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Destructive Economy as % of GDP is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 11.5%
Mean (expected value) 11.5%
Median (50th percentile) 11.5%
Standard Deviation 0%
90% Range (5th-95th percentile) [11.5%, 11.5%]

Exceedance Probability

Exceedance note: Destructive Economy as % of GDP collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 11.5%

Global Deaths per Minute from Disease: 104 deaths/minute

Global deaths per minute from all disease and aging

Inputs:

\[ \begin{gathered} Deaths_{disease,min} \\ = Deaths_{disease,daily} \times 0.000694 \\ = 150{,}000 \times 0.000694 \\ = 104 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Global Deaths per Minute from Disease

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Daily Deaths from Disease and Aging (deaths/day) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Deaths per Minute from Disease (10,000 simulations)

Monte Carlo Distribution: Global Deaths per Minute from Disease (10,000 simulations)

Simulation Results Summary: Global Deaths per Minute from Disease

Statistic Value
Baseline (deterministic) 104
Mean (expected value) 104
Median (50th percentile) 104
Standard Deviation 5.21
90% Range (5th-95th percentile) [95.4, 113]

The histogram shows the distribution of Global Deaths per Minute from Disease across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Deaths per Minute from Disease

Probability of Exceeding Threshold: Global Deaths per Minute from Disease

This exceedance probability chart shows the likelihood that Global Deaths per Minute from Disease will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Welfare Cost of Avoidable Disease: $400 trillion

Annual welfare cost of avoidable disease globally. Calculated as global DALY burden × eventually avoidable percentage × standard QALY value ($150K). Uses consistent QALY valuation matching all other health impact calculations. Medical costs and productivity losses are NOT added separately to avoid double-counting (QALY valuation already captures these welfare components).

Inputs:

\[ \begin{gathered} Burden_{disease} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times Value_{QALY} \\ = 2.88B \times 92.6\% \times \$150K \\ = \$400T \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual Welfare Cost of Avoidable Disease

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Standard Economic Value per QALY (USD/QALY) 0.8093 Strong driver
Eventually Avoidable DALY Percentage (percentage) 0.5200 Strong driver
Global Annual DALY Burden (DALYs/year) 0.2294 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Welfare Cost of Avoidable Disease (10,000 simulations)

Monte Carlo Distribution: Annual Welfare Cost of Avoidable Disease (10,000 simulations)

Simulation Results Summary: Annual Welfare Cost of Avoidable Disease

Statistic Value
Baseline (deterministic) $400 trillion
Mean (expected value) $397 trillion
Median (50th percentile) $397 trillion
Standard Deviation $89.5 trillion
90% Range (5th-95th percentile) [$252 trillion, $544 trillion]

The histogram shows the distribution of Annual Welfare Cost of Avoidable Disease across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Welfare Cost of Avoidable Disease

Probability of Exceeding Threshold: Annual Welfare Cost of Avoidable Disease

This exceedance probability chart shows the likelihood that Annual Welfare Cost of Avoidable Disease will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Annual Total Market Cost of Disease: $14.9 trillion

Total annual market cost of disease globally: direct medical costs ($9.9T) plus lost productivity from people too sick to work ($5T). This is the cash-cost sum a payer or economy actually bears, distinct from the DALY-based welfare burden, and is deliberately NOT added to that burden to avoid double-counting.

Inputs:

\[ \begin{gathered} Cost_{disease,market} \\ = Cost_{medical,direct} + Loss_{productivity} \\ = \$9.9T + \$5T \\ = \$14.9T \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Global Annual Total Market Cost of Disease

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Annual Direct Medical Costs of Disease (USD/year) 0.8885 Strong driver
Global Annual Productivity Loss from Disease (USD/year) 0.4427 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Annual Total Market Cost of Disease (10,000 simulations)

Monte Carlo Distribution: Global Annual Total Market Cost of Disease (10,000 simulations)

Simulation Results Summary: Global Annual Total Market Cost of Disease

Statistic Value
Baseline (deterministic) $14.9 trillion
Mean (expected value) $14.9 trillion
Median (50th percentile) $14.8 trillion
Standard Deviation $1.92 trillion
90% Range (5th-95th percentile) [$11.9 trillion, $18.3 trillion]

The histogram shows the distribution of Global Annual Total Market Cost of Disease across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Annual Total Market Cost of Disease

Probability of Exceeding Threshold: Global Annual Total Market Cost of Disease

This exceedance probability chart shows the likelihood that Global Annual Total Market Cost of Disease will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Global Government Expense: $36.5 trillion

Approximate annual global government expenditure, computed as global GDP times the World Bank general-government expense share of GDP.

Inputs:

\[ \begin{gathered} Expense_{gov,global} \\ = GDP_{global} \times p_{gov,expense} \\ = \$115T \times 31.8\% \\ = \$36.5T \end{gathered} \]

~ Medium confidence

Monte Carlo Distribution

Monte Carlo note: Annual Global Government Expense is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 3.655e+01)

Statistic Value
Baseline (deterministic) $36.5 trillion
Mean (expected value) $36.5 trillion
Median (50th percentile) $36.5 trillion
Standard Deviation $0
90% Range (5th-95th percentile) [$36.5 trillion, $36.5 trillion]

Exceedance Probability

Exceedance note: Annual Global Government Expense collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 3.655e+01)

Approximate deterministic value: $36.5 trillion

Global Median After-Tax Consumable Income (2025): $2,138

Median after-tax consumable income today: mean income x (1 - military share) x median-to-mean ratio x (1 - tax). Because the ratio is derived from the Gallup anchor, this equals Gallup’s measured median with the military slice and taxes removed. The baseline the three scenario trajectories grow from.

Inputs:

\[ \begin{gathered} \tilde{m}_{0} \\ = \bar{y}_{0} \times (1 - s_{mil}) \times \rho_{med} \times (1 - \tau_{med}) \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} s_{mil} \\ = \frac{Spending_{mil}}{GDP_{global}} \\ = \frac{\$2.72T}{\$115T} \\ = 2.37\% \end{gathered} \] where: \[ \begin{gathered} \rho_{med} \\ = \frac{\tilde{y}_{gallup}}{\bar{y}_{0}} \\ = \frac{\$2.92K}{\$14.4K} \\ = 0.203 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Global Median After-Tax Consumable Income (2025)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Median-to-Mean Income Ratio (ratio) 1.0051 Strong driver
Global Average Income (2025 Baseline) (USD) 0.1050 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Median After-Tax Consumable Income (2025) (10,000 simulations)

Monte Carlo Distribution: Global Median After-Tax Consumable Income (2025) (10,000 simulations)

Simulation Results Summary: Global Median After-Tax Consumable Income (2025)

Statistic Value
Baseline (deterministic) $2,138
Mean (expected value) $2,139
Median (50th percentile) $2,135
Standard Deviation $248
90% Range (5th-95th percentile) [$1,710, $2,566]

The histogram shows the distribution of Global Median After-Tax Consumable Income (2025) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Median After-Tax Consumable Income (2025)

Probability of Exceeding Threshold: Global Median After-Tax Consumable Income (2025)

This exceedance probability chart shows the likelihood that Global Median After-Tax Consumable Income (2025) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Median-to-Mean Income Ratio: 0.203:1

Global median-to-mean income ratio, DERIVED from the Gallup anchor against mean income (GDP per capita): the median human receives about twenty-one cents of the average dollar. Pre-tax basis on both sides. The derivation replaces a hand-chosen 0.30 ‘from Gallup’s range’, which made the model’s agreement with Gallup circular. This single number is why GDP per capita overstates what a typical person earns by roughly 5x.

Inputs:

\[ \begin{gathered} \rho_{med} \\ = \frac{\tilde{y}_{gallup}}{\bar{y}_{0}} \\ = \frac{\$2.92K}{\$14.4K} \\ = 0.203 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Global Median-to-Mean Income Ratio

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Gallup Global Median Per-Capita Income (2013, PPP) (USD) 0.9948 Strong driver
Global Average Income (2025 Baseline) (USD) -0.1044 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Median-to-Mean Income Ratio (10,000 simulations)

Monte Carlo Distribution: Global Median-to-Mean Income Ratio (10,000 simulations)

Simulation Results Summary: Global Median-to-Mean Income Ratio

Statistic Value
Baseline (deterministic) 0.203:1
Mean (expected value) 0.203:1
Median (50th percentile) 0.203:1
Standard Deviation 0.0236:1
90% Range (5th-95th percentile) [0.163:1, 0.244:1]

The histogram shows the distribution of Global Median-to-Mean Income Ratio across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Median-to-Mean Income Ratio

Probability of Exceeding Threshold: Global Median-to-Mean Income Ratio

This exceedance probability chart shows the likelihood that Global Median-to-Mean Income Ratio will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Military Share of Global GDP: 2.37%

Military spending as a share of global GDP (SIPRI spending over IMF output). The regrettables deduction in the median consumable-income track: output that is made and counted but cannot be eaten. Military ONLY, by design: it is hard data and the book’s actual subject. Cybercrime was removed from this deduction (v2): loss estimates count transfers and double-counted indirect costs, not uneaten output.

Inputs:

\[ \begin{gathered} s_{mil} \\ = \frac{Spending_{mil}}{GDP_{global}} \\ = \frac{\$2.72T}{\$115T} \\ = 2.37\% \end{gathered} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Military Share of Global GDP is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 2.37%
Mean (expected value) 2.37%
Median (50th percentile) 2.37%
Standard Deviation 3.47e-16%
90% Range (5th-95th percentile) [2.37%, 2.37%]

Exceedance Probability

Exceedance note: Military Share of Global GDP collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 2.37%

Per Capita Military Spending Globally: $340

Per capita military spending globally

Inputs:

\[ \begin{gathered} Spending_{mil,pc} \\ = \frac{Spending_{mil}}{Pop_{global}} \\ = \frac{\$2.72T}{8B} \\ = \$340 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Per Capita Military Spending Globally

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Population in 2024 (of people) -0.9999 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Per Capita Military Spending Globally (10,000 simulations)

Monte Carlo Distribution: Per Capita Military Spending Globally (10,000 simulations)

Simulation Results Summary: Per Capita Military Spending Globally

Statistic Value
Baseline (deterministic) $340
Mean (expected value) $340
Median (50th percentile) $340
Standard Deviation $4.13
90% Range (5th-95th percentile) [$333, $347]

The histogram shows the distribution of Per Capita Military Spending Globally across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Per Capita Military Spending Globally

Probability of Exceeding Threshold: Per Capita Military Spending Globally

This exceedance probability chart shows the likelihood that Per Capita Military Spending Globally will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Military Spending After 1% Treaty Reduction: $2.69 trillion

Global military spending after 1% treaty reduction

Inputs:

\[ \begin{gathered} Spending_{mil,post} \\ = Spending_{mil} \times (1 - Reduce_{treaty}) \\ = \$2.72T \times (1 - 1\%) \\ = \$2.69T \end{gathered} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Global Military Spending After 1% Treaty Reduction is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 2.693e+00)

Statistic Value
Baseline (deterministic) $2.69 trillion
Mean (expected value) $2.69 trillion
Median (50th percentile) $2.69 trillion
Standard Deviation $0
90% Range (5th-95th percentile) [$2.69 trillion, $2.69 trillion]

Exceedance Probability

Exceedance note: Global Military Spending After 1% Treaty Reduction collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 2.693e+00)

Approximate deterministic value: $2.69 trillion

Military Spending Real CAGR (20-Year): 2.76%

Real compound annual growth rate of global military spending over the last 20 years (2005-2024), computed from SIPRI World totals in constant 2023 USD. This window deliberately includes the 2011-2014 drawdown, so it cannot be attacked as trough-to-peak cherry picking. The 20-year rate (~2.75%) is actually lower than the 10-year rate (3.4%) precisely because the drawdown pulls the average down.

Inputs:

\[ \begin{gathered} g_{mil,20yr} \\ = \left(\frac{Spending_{mil}}{Spending_{mil,2005}}\right)^{\frac{1}{19}} - 1 \end{gathered} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Military Spending Real CAGR (20-Year) is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 2.76%
Mean (expected value) 2.76%
Median (50th percentile) 2.76%
Standard Deviation 3.47e-16%
90% Range (5th-95th percentile) [2.76%, 2.76%]

Exceedance Probability

Exceedance note: Military Spending Real CAGR (20-Year) collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 2.76%

Global Political Reform Investment: $128 billion

Estimated global advocacy investment for policy reform. Calculated as US costs × global ratio (based on discretionary spending). Upper bound representing full democratic engagement at scale.

Inputs:

\[ \begin{gathered} Cost_{global,reform} \\ = Cost_{US,total} \times \rho_{global/US} \\ = \$25.5B \times 5 \\ = \$128B \end{gathered} \] where: \[ \begin{gathered} Cost_{US,total} \\ = (Cost_{campaign} \\ + Cost_{lobby} \times 2) \times \mu_{effort} + Cost_{career} \end{gathered} \] where: \[ \begin{gathered} Cost_{US,congress} \\ = N_{congress} \times V_{post-office} \\ = 535 \times \$10M \\ = \$5.35B \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Global Political Reform Investment

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global-to-US Political Cost Ratio (ratio) 0.7419 Strong driver
US Political Reform Investment (Total) (USD) 0.6649 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Political Reform Investment (10,000 simulations)

Monte Carlo Distribution: Global Political Reform Investment (10,000 simulations)

Simulation Results Summary: Global Political Reform Investment

Statistic Value
Baseline (deterministic) $128 billion
Mean (expected value) $127 billion
Median (50th percentile) $120 billion
Standard Deviation $41.2 billion
90% Range (5th-95th percentile) [$71.7 billion, $206 billion]

The histogram shows the distribution of Global Political Reform Investment across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Political Reform Investment

Probability of Exceeding Threshold: Global Political Reform Investment

This exceedance probability chart shows the likelihood that Global Political Reform Investment will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Annual Cost of War and Disease: $412 trillion

Total annual welfare cost of war and disease. Disease burden uses DALY-based welfare valuation; war costs use direct + indirect economic costs. Symptomatic treatment costs NOT added separately (already captured in QALY valuation).

Inputs:

\[ \begin{gathered} Cost_{health+war} \\ = Cost_{war,total} + Burden_{disease} \\ = \$11.4T + \$400T \\ = \$412T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} Burden_{disease} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times Value_{QALY} \\ = 2.88B \times 92.6\% \times \$150K \\ = \$400T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total Annual Cost of War and Disease

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Welfare Cost of Avoidable Disease (USD/year) 1.0002 Strong driver
Total Annual Cost of War Worldwide (USD/year) 0.0098 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Annual Cost of War and Disease (10,000 simulations)

Monte Carlo Distribution: Total Annual Cost of War and Disease (10,000 simulations)

Simulation Results Summary: Total Annual Cost of War and Disease

Statistic Value
Baseline (deterministic) $412 trillion
Mean (expected value) $408 trillion
Median (50th percentile) $408 trillion
Standard Deviation $89.5 trillion
90% Range (5th-95th percentile) [$264 trillion, $556 trillion]

The histogram shows the distribution of Total Annual Cost of War and Disease across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Annual Cost of War and Disease

Probability of Exceeding Threshold: Total Annual Cost of War and Disease

This exceedance probability chart shows the likelihood that Total Annual Cost of War and Disease will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Cumulative 80-Year War Cost (Baseline Trajectory): $3.22 quadrillion

Cumulative global war cost over 80 years (one human lifespan) on the baseline trajectory, where war costs keep compounding at SIPRI’s 20-year real CAGR (2.76%). This is what the world pays if nothing changes.

Inputs:

\[ Cost_{war,cum,baseline} = C \times ((1 + g)^{80} - 1) / g \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{mil,20yr} \\ = \left(\frac{Spending_{mil}}{Spending_{mil,2005}}\right)^{\frac{1}{19}} - 1 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Cumulative 80-Year War Cost (Baseline Trajectory)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Cost of War Worldwide (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Cumulative 80-Year War Cost (Baseline Trajectory) (10,000 simulations)

Monte Carlo Distribution: Cumulative 80-Year War Cost (Baseline Trajectory) (10,000 simulations)

Simulation Results Summary: Cumulative 80-Year War Cost (Baseline Trajectory)

Statistic Value
Baseline (deterministic) $3.22 quadrillion
Mean (expected value) $3.21 quadrillion
Median (50th percentile) $3.19 quadrillion
Standard Deviation $249 trillion
90% Range (5th-95th percentile) [$2.82 quadrillion, $3.65 quadrillion]

The histogram shows the distribution of Cumulative 80-Year War Cost (Baseline Trajectory) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Cumulative 80-Year War Cost (Baseline Trajectory)

Probability of Exceeding Threshold: Cumulative 80-Year War Cost (Baseline Trajectory)

This exceedance probability chart shows the likelihood that Cumulative 80-Year War Cost (Baseline Trajectory) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Cumulative 80-Year War Cost (Treaty Trajectory): $899 trillion

Cumulative global war cost over 80 years under the treaty trajectory, where costs drop 1% immediately and then hold flat (no growth). This is what the world pays after the treaty passes.

Inputs:

\[ \begin{gathered} Cost_{war,cum,treaty} \\ = C \times (1 - Reduce_{treaty}) \times 80 \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Cumulative 80-Year War Cost (Treaty Trajectory)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Cost of War Worldwide (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Cumulative 80-Year War Cost (Treaty Trajectory) (10,000 simulations)

Monte Carlo Distribution: Cumulative 80-Year War Cost (Treaty Trajectory) (10,000 simulations)

Simulation Results Summary: Cumulative 80-Year War Cost (Treaty Trajectory)

Statistic Value
Baseline (deterministic) $899 trillion
Mean (expected value) $896 trillion
Median (50th percentile) $892 trillion
Standard Deviation $69.4 trillion
90% Range (5th-95th percentile) [$789 trillion, $1.02 quadrillion]

The histogram shows the distribution of Cumulative 80-Year War Cost (Treaty Trajectory) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Cumulative 80-Year War Cost (Treaty Trajectory)

Probability of Exceeding Threshold: Cumulative 80-Year War Cost (Treaty Trajectory)

This exceedance probability chart shows the likelihood that Cumulative 80-Year War Cost (Treaty Trajectory) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Per-Person War Cost (Full Abolition) Compounded at 13% over 80 Years: $244 million

Per-person future value at year 80 of the full baseline war cost stream, compounded at the illustrative long-term real return rate (13%, Nasdaq-100 historical). This is the hypothetical opportunity cost per person of running the baseline SIPRI trajectory rather than abolishing war entirely and redirecting every dollar. Serves as the ceiling on the peace dividend ladder: the treaty gets you a large fraction of this number, full abolition gets you all of it.

Inputs:

\[ \begin{gathered} FV_{pp,abolition} \\ = [Σ_{t=0..79} C(1+g)^t \times (1+r)^{79-t}] / Pop_{global} \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{mil,20yr} \\ = \left(\frac{Spending_{mil}}{Spending_{mil,2005}}\right)^{\frac{1}{19}} - 1 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Per-Person War Cost (Full Abolition) Compounded at 13% over 80 Years

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Cost of War Worldwide (USD/year) 0.9895 Strong driver
Global Population in 2024 (of people) -0.1552 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Per-Person War Cost (Full Abolition) Compounded at 13% over 80 Years (10,000 simulations)

Monte Carlo Distribution: Per-Person War Cost (Full Abolition) Compounded at 13% over 80 Years (10,000 simulations)

Simulation Results Summary: Per-Person War Cost (Full Abolition) Compounded at 13% over 80 Years

Statistic Value
Baseline (deterministic) $244 million
Mean (expected value) $243 million
Median (50th percentile) $242 million
Standard Deviation $19.1 million
90% Range (5th-95th percentile) [$214 million, $277 million]

The histogram shows the distribution of Per-Person War Cost (Full Abolition) Compounded at 13% over 80 Years across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Per-Person War Cost (Full Abolition) Compounded at 13% over 80 Years

Probability of Exceeding Threshold: Per-Person War Cost (Full Abolition) Compounded at 13% over 80 Years

This exceedance probability chart shows the likelihood that Per-Person War Cost (Full Abolition) Compounded at 13% over 80 Years will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Per-Person 80-Year War Cost (Baseline Trajectory): $402,488

Per-person 80-year lifetime tab for global war costs on the SIPRI baseline trajectory (2.76% real growth). About 3.5x the flat-assumption figure the chapter opens with, because war costs have been compounding while nobody updated the invoice.

Inputs:

\[ \begin{gathered} Cost_{war,pp,baseline} \\ = \frac{Cost_{war,cum,baseline}}{Pop_{global}} \\ = \frac{\$3220T}{8B} \\ = \$402K \end{gathered} \] where: \[ Cost_{war,cum,baseline} = C \times ((1 + g)^{80} - 1) / g \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{mil,20yr} \\ = \left(\frac{Spending_{mil}}{Spending_{mil,2005}}\right)^{\frac{1}{19}} - 1 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Per-Person 80-Year War Cost (Baseline Trajectory)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Cumulative 80-Year War Cost (Baseline Trajectory) (USD) 0.9895 Strong driver
Global Population in 2024 (of people) -0.1552 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Per-Person 80-Year War Cost (Baseline Trajectory) (10,000 simulations)

Monte Carlo Distribution: Per-Person 80-Year War Cost (Baseline Trajectory) (10,000 simulations)

Simulation Results Summary: Per-Person 80-Year War Cost (Baseline Trajectory)

Statistic Value
Baseline (deterministic) $402,488
Mean (expected value) $401,168
Median (50th percentile) $399,095
Standard Deviation $31,400
90% Range (5th-95th percentile) [$352,459, $456,139]

The histogram shows the distribution of Per-Person 80-Year War Cost (Baseline Trajectory) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Per-Person 80-Year War Cost (Baseline Trajectory)

Probability of Exceeding Threshold: Per-Person 80-Year War Cost (Baseline Trajectory)

This exceedance probability chart shows the likelihood that Per-Person 80-Year War Cost (Baseline Trajectory) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Per-Person 80-Year War Cost (Flat Assumption): $113,571

Per-person 80-year lifetime tab for global war costs, assuming costs stay flat at today’s level. This is the conservative floor the chapter opens with. The actual figure is higher because war costs have been compounding in real terms.

Inputs:

\[ \begin{gathered} Cost_{war,pp,flat} \\ = Cost_{war,total} \times \frac{80}{Pop_{global}} \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Per-Person 80-Year War Cost (Flat Assumption)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Cost of War Worldwide (USD/year) 0.9895 Strong driver
Global Population in 2024 (of people) -0.1552 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Per-Person 80-Year War Cost (Flat Assumption) (10,000 simulations)

Monte Carlo Distribution: Per-Person 80-Year War Cost (Flat Assumption) (10,000 simulations)

Simulation Results Summary: Per-Person 80-Year War Cost (Flat Assumption)

Statistic Value
Baseline (deterministic) $113,571
Mean (expected value) $113,199
Median (50th percentile) $112,614
Standard Deviation $8,860
90% Range (5th-95th percentile) [$99,454, $128,710]

The histogram shows the distribution of Per-Person 80-Year War Cost (Flat Assumption) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Per-Person 80-Year War Cost (Flat Assumption)

Probability of Exceeding Threshold: Per-Person 80-Year War Cost (Flat Assumption)

This exceedance probability chart shows the likelihood that Per-Person 80-Year War Cost (Flat Assumption) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Years Until Baseline War Cost Exceeds Current World GDP: 85.1 years

Years until annual war cost exceeds current world GDP at the SIPRI 20-year real growth rate. At ~2.76% real growth and $11.4T current war cost, this happens in under a century. The baseline trajectory is therefore a countdown, not a plan.

Inputs:

\[ \begin{gathered} T_{GDP} \\ = log\left(\frac{GDP_{global}}{Cost_{war,total}}\right) / log(1 \\ + g_{mil,20yr}) \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{mil,20yr} \\ = \left(\frac{Spending_{mil}}{Spending_{mil,2005}}\right)^{\frac{1}{19}} - 1 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Years Until Baseline War Cost Exceeds Current World GDP

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Cost of War Worldwide (USD/year) -0.9987 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Years Until Baseline War Cost Exceeds Current World GDP (10,000 simulations)

Monte Carlo Distribution: Years Until Baseline War Cost Exceeds Current World GDP (10,000 simulations)

Simulation Results Summary: Years Until Baseline War Cost Exceeds Current World GDP

Statistic Value
Baseline (deterministic) 85.1
Mean (expected value) 85.3
Median (50th percentile) 85.4
Standard Deviation 2.83
90% Range (5th-95th percentile) [80.5, 89.9]

The histogram shows the distribution of Years Until Baseline War Cost Exceeds Current World GDP across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Years Until Baseline War Cost Exceeds Current World GDP

Probability of Exceeding Threshold: Years Until Baseline War Cost Exceeds Current World GDP

This exceedance probability chart shows the likelihood that Years Until Baseline War Cost Exceeds Current World GDP will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual War Cost in Year 80 (Baseline Trajectory): $100 trillion

Projected annual war cost in year 80 under the baseline trajectory, assuming the SIPRI 20-year real CAGR continues. At ~2.76% real growth, this approaches current world GDP (which is why the baseline trajectory breaks math around year 85).

Inputs:

\[ \begin{gathered} Cost_{war,yr80} \\ = Cost_{war,total} \times (1 + g_{mil,20yr})^{80} \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{mil,20yr} \\ = \left(\frac{Spending_{mil}}{Spending_{mil,2005}}\right)^{\frac{1}{19}} - 1 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual War Cost in Year 80 (Baseline Trajectory)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Cost of War Worldwide (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual War Cost in Year 80 (Baseline Trajectory) (10,000 simulations)

Monte Carlo Distribution: Annual War Cost in Year 80 (Baseline Trajectory) (10,000 simulations)

Simulation Results Summary: Annual War Cost in Year 80 (Baseline Trajectory)

Statistic Value
Baseline (deterministic) $100 trillion
Mean (expected value) $99.9 trillion
Median (50th percentile) $99.4 trillion
Standard Deviation $7.74 trillion
90% Range (5th-95th percentile) [$87.8 trillion, $114 trillion]

The histogram shows the distribution of Annual War Cost in Year 80 (Baseline Trajectory) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual War Cost in Year 80 (Baseline Trajectory)

Probability of Exceeding Threshold: Annual War Cost in Year 80 (Baseline Trajectory)

This exceedance probability chart shows the likelihood that Annual War Cost in Year 80 (Baseline Trajectory) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Healthcare vs Military Multiplier Ratio: 7.17x

Ratio of healthcare to military fiscal multipliers. Healthcare investment generates 7× more economic activity per dollar than military spending.

Inputs:

\[ \begin{gathered} r_{health/mil} \\ = \frac{k_{health}}{k_{mil}} \\ = \frac{4.3}{0.6} \\ = 7.17 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Healthcare vs Military Multiplier Ratio

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Economic Multiplier for Military Spending (x) -0.7391 Strong driver
Economic Multiplier for Healthcare Investment (x) 0.6443 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Healthcare vs Military Multiplier Ratio (10,000 simulations)

Monte Carlo Distribution: Healthcare vs Military Multiplier Ratio (10,000 simulations)

Simulation Results Summary: Healthcare vs Military Multiplier Ratio

Statistic Value
Baseline (deterministic) 7.17x
Mean (expected value) 7.48x
Median (50th percentile) 7.24x
Standard Deviation 1.97x
90% Range (5th-95th percentile) [4.67x, 11.1x]

The histogram shows the distribution of Healthcare vs Military Multiplier Ratio across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Healthcare vs Military Multiplier Ratio

Probability of Exceeding Threshold: Healthcare vs Military Multiplier Ratio

This exceedance probability chart shows the likelihood that Healthcare vs Military Multiplier Ratio will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Human Laughs per Healthy Life-Year: 6,205 laughs

Laughs occurring across one healthy life-year, computed as the adult daily laughter rate multiplied by days in a year. The conversion factor between DALYs averted (healthy life-years restored) and total laughs preserved.

Inputs:

\[ L_{year} = L_{day} \times 365 = 17 \times 365 = 6{,}200 \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Human Laughs per Healthy Life-Year

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Human Laughs per Day (Average Adult) (laughs) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Human Laughs per Healthy Life-Year (10,000 simulations)

Monte Carlo Distribution: Human Laughs per Healthy Life-Year (10,000 simulations)

Simulation Results Summary: Human Laughs per Healthy Life-Year

Statistic Value
Baseline (deterministic) 6,205
Mean (expected value) 6,135
Median (50th percentile) 5,123
Standard Deviation 3,746
90% Range (5th-95th percentile) [1,848, 14,225]

The histogram shows the distribution of Human Laughs per Healthy Life-Year across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Human Laughs per Healthy Life-Year

Probability of Exceeding Threshold: Human Laughs per Healthy Life-Year

This exceedance probability chart shows the likelihood that Human Laughs per Healthy Life-Year will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

IAB Mechanism Benefit-Cost Ratio: 230:1

Benefit-Cost Ratio of the IAB mechanism itself

Inputs:

\[ \begin{gathered} BCR_{IAB} \\ = \frac{Benefit_{peace+RD}}{Cost_{IAB,ann}} \\ = \frac{\$172B}{\$750M} \\ = 230 \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace+RD} \\ = Benefit_{peace,soc} + Benefit_{RD,ann} \\ = \$114B + \$58.6B \\ = \$172B \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} Benefit_{RD,ann} \\ = Spending_{trials} \times Reduce_{pct} \\ = \$60B \times 97.7\% \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Reduce_{pct} \\ = 1 - \frac{Cost_{pragmatic,pt}}{Cost_{P3,pt}} \\ = 1 - \frac{\$929}{\$41K} \\ = 97.7\% \end{gathered} \] Methodology: https://iab.warondisease.org##welfare-analysis

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for IAB Mechanism Benefit-Cost Ratio

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
1% treaty Basic Annual Benefits (Peace + R&D Savings) (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: IAB Mechanism Benefit-Cost Ratio (10,000 simulations)

Monte Carlo Distribution: IAB Mechanism Benefit-Cost Ratio (10,000 simulations)

Simulation Results Summary: IAB Mechanism Benefit-Cost Ratio

Statistic Value
Baseline (deterministic) 230:1
Mean (expected value) 229:1
Median (50th percentile) 228:1
Standard Deviation 15.8:1
90% Range (5th-95th percentile) [204:1, 256:1]

The histogram shows the distribution of IAB Mechanism Benefit-Cost Ratio across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: IAB Mechanism Benefit-Cost Ratio

Probability of Exceeding Threshold: IAB Mechanism Benefit-Cost Ratio

This exceedance probability chart shows the likelihood that IAB Mechanism Benefit-Cost Ratio will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual IAB Political Incentive Funding: $2.72 billion

Annual funding for IAB political incentive mechanism (independent expenditures supporting high-scoring politicians, post-office fellowship endowments, Public Good Score infrastructure)

Inputs:

\[ \begin{gathered} Funding_{political,ann} \\ = Funding_{treaty} \times Pct_{political} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] ✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Annual IAB Political Incentive Funding is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 2.720e-03)

Statistic Value
Baseline (deterministic) $2.72 billion
Mean (expected value) $2.72 billion
Median (50th percentile) $2.72 billion
Standard Deviation $0
90% Range (5th-95th percentile) [$2.72 billion, $2.72 billion]

Exceedance Probability

Exceedance note: Annual IAB Political Incentive Funding collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 2.720e-03)

Approximate deterministic value: $2.72 billion

IAB vs Defense Lobbying Ratio at 1% Treaty: 13.7x

Ratio of IAB political incentive funding to defense industry lobbying at 1% treaty level. At just 1%, the health lobby already outguns the defense lobby by this factor.

Inputs:

\[ \begin{gathered} k_{IAB:defense} \\ = \frac{Funding_{political,ann}}{Lobby_{def,ann}} \\ = \frac{\$2.72B}{\$198M} \\ = 13.7 \end{gathered} \] where: \[ \begin{gathered} Funding_{political,ann} \\ = Funding_{treaty} \times Pct_{political} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Monte Carlo Distribution

Monte Carlo note: IAB vs Defense Lobbying Ratio at 1% Treaty is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.374e-11)

Statistic Value
Baseline (deterministic) 13.7x
Mean (expected value) 13.7x
Median (50th percentile) 13.7x
Standard Deviation 3.55e-15x
90% Range (5th-95th percentile) [13.7x, 13.7x]

Exceedance Probability

Exceedance note: IAB vs Defense Lobbying Ratio at 1% Treaty collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.374e-11)

Approximate deterministic value: 13.7x

Ratio of Industry to Government Clinical Trials Spending: 12.3:1

Ratio of Industry to Government spending on clinical trials (approx 90/10 split)

Inputs:

\[ \begin{gathered} Ratio_{ind:gov} \\ = \frac{Spending_{trials}}{Spending_{trials,gov}} - 1 \\ = \frac{\$60B}{\$4.5B} - 1 \\ = 12.3 \end{gathered} \]

Methodology:168

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Ratio of Industry to Government Clinical Trials Spending

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Global Government Spending on Clinical Trials (USD) -0.8087 Strong driver
Annual Global Spending on Clinical Trials (USD) 0.5560 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Ratio of Industry to Government Clinical Trials Spending (10,000 simulations)

Monte Carlo Distribution: Ratio of Industry to Government Clinical Trials Spending (10,000 simulations)

Simulation Results Summary: Ratio of Industry to Government Clinical Trials Spending

Statistic Value
Baseline (deterministic) 12.3:1
Mean (expected value) 13:1
Median (50th percentile) 12.6:1
Standard Deviation 3.36:1
90% Range (5th-95th percentile) [8.23:1, 19.3:1]

The histogram shows the distribution of Ratio of Industry to Government Clinical Trials Spending across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Ratio of Industry to Government Clinical Trials Spending

Probability of Exceeding Threshold: Ratio of Industry to Government Clinical Trials Spending

This exceedance probability chart shows the likelihood that Ratio of Industry to Government Clinical Trials Spending will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Lost-Prosperity-Only Lifetime Damages, Representative Full-Life Cohort: $23.4 million

Representative full-life cohort exposure: lifetime lost earnings under the 8-channel compound peace economy counterfactual, undiscounted, over WHO global life expectancy at birth. NOT a uniform per-individual award. A 5-year-old, 45-year-old, and 85-year-old plaintiff would each have a different remaining-life horizon; this number is the representative full-cohort exposure used as the single-theory headline. Implicitly captures war deaths, property destruction, and medical opportunity cost via their drag on compound growth, so cannot be added to the body-count ledger.

Inputs:

\[ \begin{gathered} D_{prosperity,life,pc} \\ = GDP_{pc,lost} \times LE_{global} \\ = \$319K \times 73.4 \\ = \$23.4M \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,lost} \\ = GDP_{pc,peace} - \bar{y}_{0} \\ = \$334K - \$14.4K \\ = \$319K \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,peace} \\ = GDP_{pc,1900} \times \left(1 + \left(\frac{\bar{y}_{0}}{GDP_{pc,1900}}\right)^{1/124} - 1 + g_{war,penalty}\right)^{124} \\[0.5em] = \$3.15K \times \left(1 + \left(\frac{\$14.4K}{\$3.15K}\right)^{1/124} - 1 + 2.6\%\right)^{124} \\[0.5em] = \$334K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Lost-Prosperity-Only Lifetime Damages, Representative Full-Life Cohort

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Lost GDP per Capita from War (USD/person/year) 0.9994 Strong driver
Global Life Expectancy (2024) (years) 0.0400 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Lost-Prosperity-Only Lifetime Damages, Representative Full-Life Cohort (10,000 simulations)

Monte Carlo Distribution: Lost-Prosperity-Only Lifetime Damages, Representative Full-Life Cohort (10,000 simulations)

Simulation Results Summary: Lost-Prosperity-Only Lifetime Damages, Representative Full-Life Cohort

Statistic Value
Baseline (deterministic) $23.4 million
Mean (expected value) $28.8 million
Median (50th percentile) $23.1 million
Standard Deviation $18.8 million
90% Range (5th-95th percentile) [$7.81 million, $66.5 million]

The histogram shows the distribution of Lost-Prosperity-Only Lifetime Damages, Representative Full-Life Cohort across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Lost-Prosperity-Only Lifetime Damages, Representative Full-Life Cohort

Probability of Exceeding Threshold: Lost-Prosperity-Only Lifetime Damages, Representative Full-Life Cohort

This exceedance probability chart shows the likelihood that Lost-Prosperity-Only Lifetime Damages, Representative Full-Life Cohort will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Lost-Prosperity-Only Lifetime Damages Total (Cohort Horizon): $187 quadrillion

Global lifetime lost prosperity damages, undiscounted, WHO global life expectancy horizon. Single coherent damages theory under corporate-liability lost-profits doctrine: the integral of the productive economy that didn’t happen because of the destructive economy. Cannot be added to the body-count ledger; replaces it as a single-theory pleading.

Inputs:

\[ \begin{gathered} D_{prosperity,life} \\ = GDP_{lost,total} \times LE_{global} \\ = \$2550T \times 73.4 \\ = \$187000T \end{gathered} \] where: \[ \begin{gathered} GDP_{lost,total} \\ = GDP_{pc,lost} \times Pop_{global} \\ = \$319K \times 8B \\ = \$2550T \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,lost} \\ = GDP_{pc,peace} - \bar{y}_{0} \\ = \$334K - \$14.4K \\ = \$319K \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,peace} \\ = GDP_{pc,1900} \times \left(1 + \left(\frac{\bar{y}_{0}}{GDP_{pc,1900}}\right)^{1/124} - 1 + g_{war,penalty}\right)^{124} \\[0.5em] = \$3.15K \times \left(1 + \left(\frac{\$14.4K}{\$3.15K}\right)^{1/124} - 1 + 2.6\%\right)^{124} \\[0.5em] = \$334K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Lost-Prosperity-Only Lifetime Damages Total (Cohort Horizon)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Lost GDP Global from War (USD/year) 0.9994 Strong driver
Global Life Expectancy (2024) (years) 0.0400 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Lost-Prosperity-Only Lifetime Damages Total (Cohort Horizon) (10,000 simulations)

Monte Carlo Distribution: Lost-Prosperity-Only Lifetime Damages Total (Cohort Horizon) (10,000 simulations)

Simulation Results Summary: Lost-Prosperity-Only Lifetime Damages Total (Cohort Horizon)

Statistic Value
Baseline (deterministic) $187 quadrillion
Mean (expected value) $230 quadrillion
Median (50th percentile) $184 quadrillion
Standard Deviation $151 quadrillion
90% Range (5th-95th percentile) [$62.5 quadrillion, $532 quadrillion]

The histogram shows the distribution of Lost-Prosperity-Only Lifetime Damages Total (Cohort Horizon) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Lost-Prosperity-Only Lifetime Damages Total (Cohort Horizon)

Probability of Exceeding Threshold: Lost-Prosperity-Only Lifetime Damages Total (Cohort Horizon)

This exceedance probability chart shows the likelihood that Lost-Prosperity-Only Lifetime Damages Total (Cohort Horizon) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Lost-Prosperity-Only NPV Perpetuity Per Capita (3%, No-Cure Baseline): $10.6 million

Net present value of perpetual annual lost-income flow per representative living human, at the standard 3% social discount rate, under a no-cure/no-convergence baseline. Sensitivity exposure for the corporate-liability lost-profits theory. Treats the lost-prosperity flow as continuing indefinitely; a finite-horizon convergence assumption would shrink this slightly (~5% reduction at 100 years). Single-theory pleading; cannot be added to the body-count ledger.

Inputs:

\[ \begin{gathered} D_{prosperity,NPV,pc} \\ = \frac{GDP_{pc,lost}}{r_{discount}} \\ = \frac{\$319K}{3\%} \\ = \$10.6M \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,lost} \\ = GDP_{pc,peace} - \bar{y}_{0} \\ = \$334K - \$14.4K \\ = \$319K \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,peace} \\ = GDP_{pc,1900} \times \left(1 + \left(\frac{\bar{y}_{0}}{GDP_{pc,1900}}\right)^{1/124} - 1 + g_{war,penalty}\right)^{124} \\[0.5em] = \$3.15K \times \left(1 + \left(\frac{\$14.4K}{\$3.15K}\right)^{1/124} - 1 + 2.6\%\right)^{124} \\[0.5em] = \$334K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Lost-Prosperity-Only NPV Perpetuity Per Capita (3%, No-Cure Baseline)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Lost GDP per Capita from War (USD/person/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Lost-Prosperity-Only NPV Perpetuity Per Capita (3%, No-Cure Baseline) (10,000 simulations)

Monte Carlo Distribution: Lost-Prosperity-Only NPV Perpetuity Per Capita (3%, No-Cure Baseline) (10,000 simulations)

Simulation Results Summary: Lost-Prosperity-Only NPV Perpetuity Per Capita (3%, No-Cure Baseline)

Statistic Value
Baseline (deterministic) $10.6 million
Mean (expected value) $13.1 million
Median (50th percentile) $10.5 million
Standard Deviation $8.55 million
90% Range (5th-95th percentile) [$3.54 million, $30.2 million]

The histogram shows the distribution of Lost-Prosperity-Only NPV Perpetuity Per Capita (3%, No-Cure Baseline) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Lost-Prosperity-Only NPV Perpetuity Per Capita (3%, No-Cure Baseline)

Probability of Exceeding Threshold: Lost-Prosperity-Only NPV Perpetuity Per Capita (3%, No-Cure Baseline)

This exceedance probability chart shows the likelihood that Lost-Prosperity-Only NPV Perpetuity Per Capita (3%, No-Cure Baseline) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Lost-Prosperity-Only NPV Perpetuity Total (3%, No-Cure Baseline): $85.1 quadrillion

Net present value of perpetual lost-income flow globally, at the standard 3% social discount rate, under a no-cure/no-convergence baseline. Sensitivity exposure under corporate-liability lost-profits doctrine. Cannot be added to the body-count ledger.

Inputs:

\[ \begin{gathered} D_{prosperity,NPV} \\ = \frac{GDP_{lost,total}}{r_{discount}} \\ = \frac{\$2550T}{3\%} \\ = \$85100T \end{gathered} \] where: \[ \begin{gathered} GDP_{lost,total} \\ = GDP_{pc,lost} \times Pop_{global} \\ = \$319K \times 8B \\ = \$2550T \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,lost} \\ = GDP_{pc,peace} - \bar{y}_{0} \\ = \$334K - \$14.4K \\ = \$319K \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,peace} \\ = GDP_{pc,1900} \times \left(1 + \left(\frac{\bar{y}_{0}}{GDP_{pc,1900}}\right)^{1/124} - 1 + g_{war,penalty}\right)^{124} \\[0.5em] = \$3.15K \times \left(1 + \left(\frac{\$14.4K}{\$3.15K}\right)^{1/124} - 1 + 2.6\%\right)^{124} \\[0.5em] = \$334K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Lost-Prosperity-Only NPV Perpetuity Total (3%, No-Cure Baseline)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Lost GDP Global from War (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Lost-Prosperity-Only NPV Perpetuity Total (3%, No-Cure Baseline) (10,000 simulations)

Monte Carlo Distribution: Lost-Prosperity-Only NPV Perpetuity Total (3%, No-Cure Baseline) (10,000 simulations)

Simulation Results Summary: Lost-Prosperity-Only NPV Perpetuity Total (3%, No-Cure Baseline)

Statistic Value
Baseline (deterministic) $85.1 quadrillion
Mean (expected value) $105 quadrillion
Median (50th percentile) $83.9 quadrillion
Standard Deviation $68.4 quadrillion
90% Range (5th-95th percentile) [$28.4 quadrillion, $241 quadrillion]

The histogram shows the distribution of Lost-Prosperity-Only NPV Perpetuity Total (3%, No-Cure Baseline) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Lost-Prosperity-Only NPV Perpetuity Total (3%, No-Cure Baseline)

Probability of Exceeding Threshold: Lost-Prosperity-Only NPV Perpetuity Total (3%, No-Cure Baseline)

This exceedance probability chart shows the likelihood that Lost-Prosperity-Only NPV Perpetuity Total (3%, No-Cure Baseline) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Medical Research Spending as Percentage of Total Disease Burden: 0.0164%

Medical research spending as percentage of total disease burden

Inputs:

\[ \begin{gathered} Pct_{RD:burden} \\ = \frac{Spending_{RD}}{Cost_{health+war}} \\ = \frac{\$67.5B}{\$412T} \\ = 0.0164\% \end{gathered} \] where: \[ \begin{gathered} Cost_{health+war} \\ = Cost_{war,total} + Burden_{disease} \\ = \$11.4T + \$400T \\ = \$412T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} Burden_{disease} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times Value_{QALY} \\ = 2.88B \times 92.6\% \times \$150K \\ = \$400T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Medical Research Spending as Percentage of Total Disease Burden

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Cost of War and Disease (USD/year) -0.8815 Strong driver
Global Government Medical Research Spending (USD) 0.3507 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Medical Research Spending as Percentage of Total Disease Burden (10,000 simulations)

Monte Carlo Distribution: Medical Research Spending as Percentage of Total Disease Burden (10,000 simulations)

Simulation Results Summary: Medical Research Spending as Percentage of Total Disease Burden

Statistic Value
Baseline (deterministic) 0.0164%
Mean (expected value) 0.0175%
Median (50th percentile) 0.0165%
Standard Deviation 0.00483%
90% Range (5th-95th percentile) [0.0116%, 0.0264%]

The histogram shows the distribution of Medical Research Spending as Percentage of Total Disease Burden across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Medical Research Spending as Percentage of Total Disease Burden

Probability of Exceeding Threshold: Medical Research Spending as Percentage of Total Disease Burden

This exceedance probability chart shows the likelihood that Medical Research Spending as Percentage of Total Disease Burden will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Observed Medical Toolchain Anchor Costs: $58.6 billion

Sum of observed anchor costs for major medical toolchain programs. This is anchor evidence for the prosecutor reserve, not a claim that these programs alone cure disease.

Inputs:

\[ \begin{gathered} C_{tool,anchors} \\ = C_{tool,HGP} + C_{tool,CRISPR} + C_{tool,BRAIN} \\ + C_{tool,PCORnet} + C_{tool,EHR} + C_{tool,OWS} \\ = \$2.7B + \$3.1B + \$4.5B + \$325M + \$30B + \$18B \\ = \$58.6B \end{gathered} \]

~ Medium confidence

Monte Carlo Distribution

Monte Carlo note: Observed Medical Toolchain Anchor Costs is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 5.862e-02)

Statistic Value
Baseline (deterministic) $58.6 billion
Mean (expected value) $58.6 billion
Median (50th percentile) $58.6 billion
Standard Deviation $0
90% Range (5th-95th percentile) [$58.6 billion, $58.6 billion]

Exceedance Probability

Exceedance note: Observed Medical Toolchain Anchor Costs collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 5.862e-02)

Approximate deterministic value: $58.6 billion

Ratio of Military to Clinical Trials Spending: 45.3:1

Ratio of global military spending to all clinical trials spending (government + industry + nonprofit)

Inputs:

\[ \begin{gathered} Ratio_{mil:trials} \\ = \frac{Spending_{mil}}{Spending_{trials}} \\ = \frac{\$2.72T}{\$60B} \\ = 45.3 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Ratio of Military to Clinical Trials Spending

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Global Spending on Clinical Trials (USD) -0.9930 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Ratio of Military to Clinical Trials Spending (10,000 simulations)

Monte Carlo Distribution: Ratio of Military to Clinical Trials Spending (10,000 simulations)

Simulation Results Summary: Ratio of Military to Clinical Trials Spending

Statistic Value
Baseline (deterministic) 45.3:1
Mean (expected value) 46:1
Median (50th percentile) 45.9:1
Standard Deviation 5.98:1
90% Range (5th-95th percentile) [36.3:1, 54.4:1]

The histogram shows the distribution of Ratio of Military to Clinical Trials Spending across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Ratio of Military to Clinical Trials Spending

Probability of Exceeding Threshold: Ratio of Military to Clinical Trials Spending

This exceedance probability chart shows the likelihood that Ratio of Military to Clinical Trials Spending will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Ratio of Military to Government Clinical Trials Spending: 604:1

Ratio of global military spending to government clinical trials spending

Inputs:

\[ \begin{gathered} Ratio_{mil:gov} \\ = \frac{Spending_{mil}}{Spending_{trials,gov}} \\ = \frac{\$2.72T}{\$4.5B} \\ = 604 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Ratio of Military to Government Clinical Trials Spending

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Global Government Spending on Clinical Trials (USD) -0.9789 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Ratio of Military to Government Clinical Trials Spending (10,000 simulations)

Monte Carlo Distribution: Ratio of Military to Government Clinical Trials Spending (10,000 simulations)

Simulation Results Summary: Ratio of Military to Government Clinical Trials Spending

Statistic Value
Baseline (deterministic) 604:1
Mean (expected value) 635:1
Median (50th percentile) 621:1
Standard Deviation 126:1
90% Range (5th-95th percentile) [453:1, 888:1]

The histogram shows the distribution of Ratio of Military to Government Clinical Trials Spending across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Ratio of Military to Government Clinical Trials Spending

Probability of Exceeding Threshold: Ratio of Military to Government Clinical Trials Spending

This exceedance probability chart shows the likelihood that Ratio of Military to Government Clinical Trials Spending will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

NIH Traditional Trial Maximum Efficiency vs Pragmatic (%): 2.27%

Maximum efficiency of NIH traditional Phase 3 trials relative to pragmatic trials, expressed as a percentage. Calculated as pragmatic cost / traditional cost. This is a CEILING on NIH trial efficiency because: (1) only 3.3% of NIH budget goes to clinical trials at all, and (2) the other 96.7% funds basic research with far lower marginal value when thousands of safe compounds already await testing.

Inputs:

\[ \begin{gathered} \eta_{NIH,max} \\ = \frac{Cost_{pragmatic,pt}}{Cost_{P3,pt}} \\ = \frac{\$929}{\$41K} \\ = 2.27\% \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for NIH Traditional Trial Maximum Efficiency vs Pragmatic (%)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Cost per Patient (USD/patient) 0.8031 Strong driver
Phase 3 Cost per Patient (USD/patient) -0.4142 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: NIH Traditional Trial Maximum Efficiency vs Pragmatic (%) (10,000 simulations)

Monte Carlo Distribution: NIH Traditional Trial Maximum Efficiency vs Pragmatic (%) (10,000 simulations)

Simulation Results Summary: NIH Traditional Trial Maximum Efficiency vs Pragmatic (%)

Statistic Value
Baseline (deterministic) 2.27%
Mean (expected value) 2.79%
Median (50th percentile) 2.04%
Standard Deviation 2.48%
90% Range (5th-95th percentile) [0.476%, 7.84%]

The histogram shows the distribution of NIH Traditional Trial Maximum Efficiency vs Pragmatic (%) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: NIH Traditional Trial Maximum Efficiency vs Pragmatic (%)

Probability of Exceeding Threshold: NIH Traditional Trial Maximum Efficiency vs Pragmatic (%)

This exceedance probability chart shows the likelihood that NIH Traditional Trial Maximum Efficiency vs Pragmatic (%) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Nuclear Winter Overkill Factor: 122x

How many times the global nuclear arsenal exceeds the threshold for civilizational collapse via regional-scale nuclear winter (~100 warheads, ~5 Tg soot, ~2 billion famine deaths, global food system collapse). The arsenal-based overkill factor against the apocalypse the median human experiences.

Inputs:

\[ \begin{gathered} Overkill_{winter} \\ = \frac{W_{global}}{W_{winter}} \\ = \frac{12{,}200}{100} \\ = 122 \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Nuclear Winter Overkill Factor

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Nuclear Winter Warhead Threshold (warheads) -0.9008 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Nuclear Winter Overkill Factor (10,000 simulations)

Monte Carlo Distribution: Nuclear Winter Overkill Factor (10,000 simulations)

Simulation Results Summary: Nuclear Winter Overkill Factor

Statistic Value
Baseline (deterministic) 122x
Mean (expected value) 88.2x
Median (50th percentile) 70.4x
Standard Deviation 48.3x
90% Range (5th-95th percentile) [42.6x, 198x]

The histogram shows the distribution of Nuclear Winter Overkill Factor across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Nuclear Winter Overkill Factor

Probability of Exceeding Threshold: Nuclear Winter Overkill Factor

This exceedance probability chart shows the likelihood that Nuclear Winter Overkill Factor will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Spare Apocalypses (Overkill Factor Minus One): 121 apocalypses

Spare apocalypses: how many civilization-ending nuclear winters the global arsenal can trigger beyond the one that would already end civilization. The nuclear winter overkill factor minus one. Used wherever the manual jokes about the surplus (the apocalypses kept in case the first does not take).

Inputs:

\[ Overkill_{spare} = Overkill_{winter} - 1 = 122 - 1 = 121 \] where: \[ \begin{gathered} Overkill_{winter} \\ = \frac{W_{global}}{W_{winter}} \\ = \frac{12{,}200}{100} \\ = 122 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Spare Apocalypses (Overkill Factor Minus One)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Nuclear Winter Overkill Factor (x) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Spare Apocalypses (Overkill Factor Minus One) (10,000 simulations)

Monte Carlo Distribution: Spare Apocalypses (Overkill Factor Minus One) (10,000 simulations)

Simulation Results Summary: Spare Apocalypses (Overkill Factor Minus One)

Statistic Value
Baseline (deterministic) 121
Mean (expected value) 87.2
Median (50th percentile) 69.4
Standard Deviation 48.3
90% Range (5th-95th percentile) [41.6, 197]

The histogram shows the distribution of Spare Apocalypses (Overkill Factor Minus One) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Spare Apocalypses (Overkill Factor Minus One)

Probability of Exceeding Threshold: Spare Apocalypses (Overkill Factor Minus One)

This exceedance probability chart shows the likelihood that Spare Apocalypses (Overkill Factor Minus One) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Peace Dividend from 1% Reduction in Total War Costs: $114 billion

Annual peace dividend from 1% reduction in total war costs (theoretical maximum at ε=1.0)

Inputs:

\[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual Peace Dividend from 1% Reduction in Total War Costs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Cost of War Worldwide (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Peace Dividend from 1% Reduction in Total War Costs (10,000 simulations)

Monte Carlo Distribution: Annual Peace Dividend from 1% Reduction in Total War Costs (10,000 simulations)

Simulation Results Summary: Annual Peace Dividend from 1% Reduction in Total War Costs

Statistic Value
Baseline (deterministic) $114 billion
Mean (expected value) $113 billion
Median (50th percentile) $113 billion
Standard Deviation $8.77 billion
90% Range (5th-95th percentile) [$99.6 billion, $129 billion]

The histogram shows the distribution of Annual Peace Dividend from 1% Reduction in Total War Costs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Peace Dividend from 1% Reduction in Total War Costs

Probability of Exceeding Threshold: Annual Peace Dividend from 1% Reduction in Total War Costs

This exceedance probability chart shows the likelihood that Annual Peace Dividend from 1% Reduction in Total War Costs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Conflict Reduction Benefits from 1% Less Military Spending: $86.4 billion

Conflict reduction benefits from 1% less military spending (lower confidence - assumes proportional relationship)

Inputs:

\[ \begin{gathered} Savings_{conflict} \\ = Benefit_{peace,soc} - Funding_{treaty} \\ = \$114B - \$27.2B \\ = \$86.4B \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] Methodology: Direct Calculation

? Low confidence

Sensitivity Analysis

Sensitivity Indices for Conflict Reduction Benefits from 1% Less Military Spending

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Peace Dividend from 1% Reduction in Total War Costs (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Conflict Reduction Benefits from 1% Less Military Spending (10,000 simulations)

Monte Carlo Distribution: Conflict Reduction Benefits from 1% Less Military Spending (10,000 simulations)

Simulation Results Summary: Conflict Reduction Benefits from 1% Less Military Spending

Statistic Value
Baseline (deterministic) $86.4 billion
Mean (expected value) $86 billion
Median (50th percentile) $85.4 billion
Standard Deviation $8.77 billion
90% Range (5th-95th percentile) [$72.4 billion, $101 billion]

The histogram shows the distribution of Conflict Reduction Benefits from 1% Less Military Spending across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Conflict Reduction Benefits from 1% Less Military Spending

Probability of Exceeding Threshold: Conflict Reduction Benefits from 1% Less Military Spending

This exceedance probability chart shows the likelihood that Conflict Reduction Benefits from 1% Less Military Spending will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Savings from 1% Reduction in Direct War Costs: $76.6 billion

Annual savings from 1% reduction in direct war costs

Inputs:

\[ \begin{gathered} Savings_{direct} \\ = Cost_{war,direct} \times Reduce_{treaty} \\ = \$7.66T \times 1\% \\ = \$76.6B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual Savings from 1% Reduction in Direct War Costs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Direct War Costs (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Savings from 1% Reduction in Direct War Costs (10,000 simulations)

Monte Carlo Distribution: Annual Savings from 1% Reduction in Direct War Costs (10,000 simulations)

Simulation Results Summary: Annual Savings from 1% Reduction in Direct War Costs

Statistic Value
Baseline (deterministic) $76.6 billion
Mean (expected value) $76.2 billion
Median (50th percentile) $75.6 billion
Standard Deviation $7.42 billion
90% Range (5th-95th percentile) [$65.2 billion, $89.5 billion]

The histogram shows the distribution of Annual Savings from 1% Reduction in Direct War Costs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Savings from 1% Reduction in Direct War Costs

Probability of Exceeding Threshold: Annual Savings from 1% Reduction in Direct War Costs

This exceedance probability chart shows the likelihood that Annual Savings from 1% Reduction in Direct War Costs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Savings from 1% Reduction in Indirect War Costs: $37 billion

Annual savings from 1% reduction in indirect war costs

Inputs:

\[ \begin{gathered} Savings_{indirect} \\ = Cost_{war,indirect} \times Reduce_{treaty} \\ = \$3.7T \times 1\% \\ = \$37B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual Savings from 1% Reduction in Indirect War Costs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Indirect War Costs (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Savings from 1% Reduction in Indirect War Costs (10,000 simulations)

Monte Carlo Distribution: Annual Savings from 1% Reduction in Indirect War Costs (10,000 simulations)

Simulation Results Summary: Annual Savings from 1% Reduction in Indirect War Costs

Statistic Value
Baseline (deterministic) $37 billion
Mean (expected value) $37 billion
Median (50th percentile) $36.6 billion
Standard Deviation $4.66 billion
90% Range (5th-95th percentile) [$29.8 billion, $45.6 billion]

The histogram shows the distribution of Annual Savings from 1% Reduction in Indirect War Costs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Savings from 1% Reduction in Indirect War Costs

Probability of Exceeding Threshold: Annual Savings from 1% Reduction in Indirect War Costs

This exceedance probability chart shows the likelihood that Annual Savings from 1% Reduction in Indirect War Costs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Per-Person 80-Year Peace Dividend: $290,052

Per-person share of the 80-year cumulative peace dividend, averaged across the global population. Not literally a check in the reader’s pocket: most of it arrives as infrastructure not destroyed, wages not taxed to rebuild things that should not have been destroyed, and conflicts that never happen. Per-capita division hides that the poorest bear far more than the average today.

Inputs:

\[ \begin{gathered} Savings_{pp,LT} \\ = \frac{Savings_{LT}}{Pop_{global}} \\ = \frac{\$2320T}{8B} \\ = \$290K \end{gathered} \] where: \[ \begin{gathered} Savings_{LT} \\ = Cost_{war,cum,baseline} - Cost_{war,cum,treaty} \\ = \$3220T - \$899T \\ = \$2320T \end{gathered} \] where: \[ Cost_{war,cum,baseline} = C \times ((1 + g)^{80} - 1) / g \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{mil,20yr} \\ = \left(\frac{Spending_{mil}}{Spending_{mil,2005}}\right)^{\frac{1}{19}} - 1 \end{gathered} \] where: \[ \begin{gathered} Cost_{war,cum,treaty} \\ = C \times (1 - Reduce_{treaty}) \times 80 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Per-Person 80-Year Peace Dividend

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Cumulative Peace Dividend Over 80 Years (USD) 0.9895 Strong driver
Global Population in 2024 (of people) -0.1552 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Per-Person 80-Year Peace Dividend (10,000 simulations)

Monte Carlo Distribution: Per-Person 80-Year Peace Dividend (10,000 simulations)

Simulation Results Summary: Per-Person 80-Year Peace Dividend

Statistic Value
Baseline (deterministic) $290,052
Mean (expected value) $289,102
Median (50th percentile) $287,607
Standard Deviation $22,628
90% Range (5th-95th percentile) [$253,999, $328,716]

The histogram shows the distribution of Per-Person 80-Year Peace Dividend across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Per-Person 80-Year Peace Dividend

Probability of Exceeding Threshold: Per-Person 80-Year Peace Dividend

This exceedance probability chart shows the likelihood that Per-Person 80-Year Peace Dividend will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Per-Person Peace Dividend Compounded at 13% over 80 Years: $53.7 million

Per-person future value at year 80 of the treaty peace dividend stream, compounded at the illustrative long-term real return rate (13%, Nasdaq-100 historical). Each year’s savings are invested at the end of that year and compound until year 80. This is an opportunity-cost framing, not a promise of cash in the reader’s pocket: the ‘return’ is the real productive use of capital that weapons spending displaced, not a literal brokerage account.

Inputs:

\[ \begin{gathered} FV_{pp,treaty} \\ = [Σ_{t=0..79} (C(1 + g)^t - C(1-p)) \times (1 \\ + r)^{79-t}] / Pop_{global} \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{mil,20yr} \\ = \left(\frac{Spending_{mil}}{Spending_{mil,2005}}\right)^{\frac{1}{19}} - 1 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Per-Person Peace Dividend Compounded at 13% over 80 Years

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Cost of War Worldwide (USD/year) 0.9895 Strong driver
Global Population in 2024 (of people) -0.1552 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Per-Person Peace Dividend Compounded at 13% over 80 Years (10,000 simulations)

Monte Carlo Distribution: Per-Person Peace Dividend Compounded at 13% over 80 Years (10,000 simulations)

Simulation Results Summary: Per-Person Peace Dividend Compounded at 13% over 80 Years

Statistic Value
Baseline (deterministic) $53.7 million
Mean (expected value) $53.5 million
Median (50th percentile) $53.2 million
Standard Deviation $4.19 million
90% Range (5th-95th percentile) [$47 million, $60.8 million]

The histogram shows the distribution of Per-Person Peace Dividend Compounded at 13% over 80 Years across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Per-Person Peace Dividend Compounded at 13% over 80 Years

Probability of Exceeding Threshold: Per-Person Peace Dividend Compounded at 13% over 80 Years

This exceedance probability chart shows the likelihood that Per-Person Peace Dividend Compounded at 13% over 80 Years will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Cumulative Peace Dividend Over 80 Years: $2.32 quadrillion

Cumulative peace dividend over 80 years (one human lifespan): the baseline 80-year war cost (SIPRI trajectory) minus the treaty 80-year war cost (flat at 99% of today). Assumes elasticity of 1.0 between military spending and war costs, which is almost certainly conservative because the political act of passing the treaty itself would reflect and reinforce a ‘war is stupid’ consensus that reduces externalities super-proportionally.

Inputs:

\[ \begin{gathered} Savings_{LT} \\ = Cost_{war,cum,baseline} - Cost_{war,cum,treaty} \\ = \$3220T - \$899T \\ = \$2320T \end{gathered} \] where: \[ Cost_{war,cum,baseline} = C \times ((1 + g)^{80} - 1) / g \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{mil,20yr} \\ = \left(\frac{Spending_{mil}}{Spending_{mil,2005}}\right)^{\frac{1}{19}} - 1 \end{gathered} \] where: \[ \begin{gathered} Cost_{war,cum,treaty} \\ = C \times (1 - Reduce_{treaty}) \times 80 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Cumulative Peace Dividend Over 80 Years

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Cumulative 80-Year War Cost (Baseline Trajectory) (USD) 0.5000 Moderate driver
Cumulative 80-Year War Cost (Treaty Trajectory) (USD) 0.5000 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Cumulative Peace Dividend Over 80 Years (10,000 simulations)

Monte Carlo Distribution: Cumulative Peace Dividend Over 80 Years (10,000 simulations)

Simulation Results Summary: Cumulative Peace Dividend Over 80 Years

Statistic Value
Baseline (deterministic) $2.32 quadrillion
Mean (expected value) $2.31 quadrillion
Median (50th percentile) $2.3 quadrillion
Standard Deviation $179 trillion
90% Range (5th-95th percentile) [$2.03 quadrillion, $2.63 quadrillion]

The histogram shows the distribution of Cumulative Peace Dividend Over 80 Years across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Cumulative Peace Dividend Over 80 Years

Probability of Exceeding Threshold: Cumulative Peace Dividend Over 80 Years

This exceedance probability chart shows the likelihood that Cumulative Peace Dividend Over 80 Years will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Share of 80-Year War Cost Avoided by Treaty: 72.1%

Fraction of the baseline 80-year war cost avoided by the treaty. Because the baseline compounds exponentially while the treaty holds spending flat, cutting 1% today and halting the growth trajectory avoids about 72% of the cumulative 80-year war cost. Most of the savings come from the halted growth, not the headline 1% cut.

Inputs:

\[ \begin{gathered} \phi_{avoided} \\ = \frac{Savings_{LT}}{Cost_{war,cum,baseline}} \\ = \frac{\$2320T}{\$3220T} \\ = 72.1\% \end{gathered} \] where: \[ \begin{gathered} Savings_{LT} \\ = Cost_{war,cum,baseline} - Cost_{war,cum,treaty} \\ = \$3220T - \$899T \\ = \$2320T \end{gathered} \] where: \[ Cost_{war,cum,baseline} = C \times ((1 + g)^{80} - 1) / g \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{mil,20yr} \\ = \left(\frac{Spending_{mil}}{Spending_{mil,2005}}\right)^{\frac{1}{19}} - 1 \end{gathered} \] where: \[ \begin{gathered} Cost_{war,cum,treaty} \\ = C \times (1 - Reduce_{treaty}) \times 80 \end{gathered} \] #### Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Share of 80-Year War Cost Avoided by Treaty is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 2.220e-16 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 72.1%
Mean (expected value) 72.1%
Median (50th percentile) 72.1%
Standard Deviation 1.35e-14%
90% Range (5th-95th percentile) [72.1%, 72.1%]

Exceedance Probability

Exceedance note: Share of 80-Year War Cost Avoided by Treaty collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 2.220e-16 <= tolerance 1.000e-12)

Approximate deterministic value: 72.1%

Pentagon Unaccounted Funds in Clinical Trial Years: 547 years

Number of years of clinical trial funding at current government spending levels that the Pentagon’s unaccounted funds could have provided

Inputs:

\[ \begin{gathered} Years_{pentagon,trials} \\ = \frac{Funds_{pentagon,unaccounted}}{Spending_{trials,gov}} \\ = \frac{\$2.46T}{\$4.5B} \\ = 547 \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Pentagon Unaccounted Funds in Clinical Trial Years

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Global Government Spending on Clinical Trials (USD) -0.9789 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pentagon Unaccounted Funds in Clinical Trial Years (10,000 simulations)

Monte Carlo Distribution: Pentagon Unaccounted Funds in Clinical Trial Years (10,000 simulations)

Simulation Results Summary: Pentagon Unaccounted Funds in Clinical Trial Years

Statistic Value
Baseline (deterministic) 547
Mean (expected value) 574
Median (50th percentile) 562
Standard Deviation 114
90% Range (5th-95th percentile) [410, 803]

The histogram shows the distribution of Pentagon Unaccounted Funds in Clinical Trial Years across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pentagon Unaccounted Funds in Clinical Trial Years

Probability of Exceeding Threshold: Pentagon Unaccounted Funds in Clinical Trial Years

This exceedance probability chart shows the likelihood that Pentagon Unaccounted Funds in Clinical Trial Years will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pentagon Unaccounted Funds False Claims Analog Exposure: $7.38 trillion

False Claims Act-style treble-damages exposure on Pentagon unaccounted funds, used as a corporate-defendant audit analogy rather than a literal claim under existing sovereign law.

Inputs:

\[ \begin{gathered} Exposure_{pentagon,FCA} \\ = Funds_{pentagon,unaccounted} \times m_{FCA} \\ = \$2.46T \times 3 \\ = \$7.38T \end{gathered} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Pentagon Unaccounted Funds False Claims Analog Exposure is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 7.380e+00)

Statistic Value
Baseline (deterministic) $7.38 trillion
Mean (expected value) $7.38 trillion
Median (50th percentile) $7.38 trillion
Standard Deviation $0
90% Range (5th-95th percentile) [$7.38 trillion, $7.38 trillion]

Exceedance Probability

Exceedance note: Pentagon Unaccounted Funds False Claims Analog Exposure collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 7.380e+00)

Approximate deterministic value: $7.38 trillion

Annual Lives Saved by Pharmaceuticals: 12.4 million deaths

Annual lives saved by pharmaceutical interventions globally. Derived from Lichtenberg (2019) finding of 148.7M life-years saved, divided by assumed 12-year average life extension per beneficiary. Note: Life-years is the primary metric; lives is an approximation for intuitive communication.

Inputs:

\[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \]

Methodology:102

? Low confidence

Sensitivity Analysis

Sensitivity Indices for Annual Lives Saved by Pharmaceuticals

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Life-Years Saved by Pharmaceuticals (life-years) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Lives Saved by Pharmaceuticals (10,000 simulations)

Monte Carlo Distribution: Annual Lives Saved by Pharmaceuticals (10,000 simulations)

Simulation Results Summary: Annual Lives Saved by Pharmaceuticals

Statistic Value
Baseline (deterministic) 12.4 million
Mean (expected value) 12.3 million
Median (50th percentile) 11.9 million
Standard Deviation 3.17 million
90% Range (5th-95th percentile) [7.72 million, 18.6 million]

The histogram shows the distribution of Annual Lives Saved by Pharmaceuticals across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Lives Saved by Pharmaceuticals

Probability of Exceeding Threshold: Annual Lives Saved by Pharmaceuticals

This exceedance probability chart shows the likelihood that Annual Lives Saved by Pharmaceuticals will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Governance Efficiency Score: 51.9%

Global Governance Efficiency Score from Political Dysfunction Tax paper. E = Adjusted W_real / W_max, where W_real = GDP - waste, W_max = W_real + opportunity cost. Paper calculates 30-52% efficiency (using $110.9T adjusted / $211.9T maximum). This means civilization operates at roughly half its technological potential.

Inputs:

\[ \begin{gathered} E_{gov} \\ = \frac{W_{real}}{W_{max}} \\ = \frac{\$109T}{\$210T} \\ = 51.9\% \end{gathered} \] where: \[ \begin{gathered} W_{real} \\ = GDP_{global} - W_{waste} \\ = \$115T - \$6.2T \\ = \$109T \end{gathered} \] where: \[ \begin{gathered} W_{waste} \\ = W_{total,US} + W_{ff,global} \\ = \$4.9T + \$1.3T \\ = \$6.2T \end{gathered} \] where: \[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] where: \[ W_{max} = W_{real} + O_{total} = \$109T + \$101T = \$210T \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] Methodology:57

? Low confidence

Sensitivity Analysis

Sensitivity Indices for Global Governance Efficiency Score

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Theoretical Maximum Welfare (Conservative) (USD) -0.9807 Strong driver
Adjusted Realized Welfare (USD) 0.0224 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Governance Efficiency Score (10,000 simulations)

Monte Carlo Distribution: Global Governance Efficiency Score (10,000 simulations)

Simulation Results Summary: Global Governance Efficiency Score

Statistic Value
Baseline (deterministic) 51.9%
Mean (expected value) 53%
Median (50th percentile) 53.4%
Standard Deviation 7.31%
90% Range (5th-95th percentile) [40.3%, 64.6%]

The histogram shows the distribution of Global Governance Efficiency Score across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Governance Efficiency Score

Probability of Exceeding Threshold: Global Governance Efficiency Score

This exceedance probability chart shows the likelihood that Global Governance Efficiency Score will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Opportunity Cost as % of GDP: 87.8%

Global opportunity cost as percentage of global GDP. $101T / $115T = ~88% of current GDP in unrealized potential. This represents the ‘buried multipliers’ of the global economy.

Inputs:

\[ \begin{gathered} O_{\%GDP} \\ = \frac{O_{total}}{GDP_{global}} \\ = \frac{\$101T}{\$115T} \\ = 87.8\% \end{gathered} \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] Methodology:57

? Low confidence

Sensitivity Analysis

Sensitivity Indices for Global Opportunity Cost as % of GDP

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Opportunity Cost Total (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Opportunity Cost as % of GDP (10,000 simulations)

Monte Carlo Distribution: Global Opportunity Cost as % of GDP (10,000 simulations)

Simulation Results Summary: Global Opportunity Cost as % of GDP

Statistic Value
Baseline (deterministic) 87.8%
Mean (expected value) 87.5%
Median (50th percentile) 82.6%
Standard Deviation 27.5%
90% Range (5th-95th percentile) [51.8%, 140%]

The histogram shows the distribution of Global Opportunity Cost as % of GDP across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Opportunity Cost as % of GDP

Probability of Exceeding Threshold: Global Opportunity Cost as % of GDP

This exceedance probability chart shows the likelihood that Global Opportunity Cost as % of GDP will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Opportunity Cost Total: $101 trillion

Total global opportunity cost from governance failures: health innovation delays ($34T), underfunded science ($4T), lead poisoning ($6T), migration restrictions ($57T). Sum: $101T annually in unrealized potential.

Inputs:

\[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \]

Methodology:57

? Low confidence

Sensitivity Analysis

Sensitivity Indices for Global Opportunity Cost Total

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Migration Opportunity Cost (USD) 0.8920 Strong driver
Global Health Opportunity Cost (USD) 0.4367 Moderate driver
Global Science Opportunity Cost (USD) 0.0578 Minimal effect
Global Lead Poisoning Cost (USD) 0.0300 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Opportunity Cost Total (10,000 simulations)

Monte Carlo Distribution: Global Opportunity Cost Total (10,000 simulations)

Simulation Results Summary: Global Opportunity Cost Total

Statistic Value
Baseline (deterministic) $101 trillion
Mean (expected value) $101 trillion
Median (50th percentile) $95 trillion
Standard Deviation $31.6 trillion
90% Range (5th-95th percentile) [$59.6 trillion, $161 trillion]

The histogram shows the distribution of Global Opportunity Cost Total across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Opportunity Cost Total

Probability of Exceeding Threshold: Global Opportunity Cost Total

This exceedance probability chart shows the likelihood that Global Opportunity Cost Total will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Adjusted Realized Welfare: $109 trillion

Adjusted realized welfare after subtracting measured governance waste from global GDP.

Inputs:

\[ \begin{gathered} W_{real} \\ = GDP_{global} - W_{waste} \\ = \$115T - \$6.2T \\ = \$109T \end{gathered} \] where: \[ \begin{gathered} W_{waste} \\ = W_{total,US} + W_{ff,global} \\ = \$4.9T + \$1.3T \\ = \$6.2T \end{gathered} \] where: \[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Adjusted Realized Welfare

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Waste Total (Efficiency Accounting) (USD) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Adjusted Realized Welfare (10,000 simulations)

Monte Carlo Distribution: Adjusted Realized Welfare (10,000 simulations)

Simulation Results Summary: Adjusted Realized Welfare

Statistic Value
Baseline (deterministic) $109 trillion
Mean (expected value) $109 trillion
Median (50th percentile) $109 trillion
Standard Deviation $390 billion
90% Range (5th-95th percentile) [$108 trillion, $109 trillion]

The histogram shows the distribution of Adjusted Realized Welfare across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Adjusted Realized Welfare

Probability of Exceeding Threshold: Adjusted Realized Welfare

This exceedance probability chart shows the likelihood that Adjusted Realized Welfare will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Theoretical Maximum Welfare (Conservative): $210 trillion

Conservative theoretical maximum welfare under opportunity-cost recapture assumptions.

Inputs:

\[ W_{max} = W_{real} + O_{total} = \$109T + \$101T = \$210T \] where: \[ \begin{gathered} W_{real} \\ = GDP_{global} - W_{waste} \\ = \$115T - \$6.2T \\ = \$109T \end{gathered} \] where: \[ \begin{gathered} W_{waste} \\ = W_{total,US} + W_{ff,global} \\ = \$4.9T + \$1.3T \\ = \$6.2T \end{gathered} \] where: \[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Theoretical Maximum Welfare (Conservative)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Opportunity Cost Total (USD) 0.9998 Strong driver
Adjusted Realized Welfare (USD) 0.0123 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Theoretical Maximum Welfare (Conservative) (10,000 simulations)

Monte Carlo Distribution: Theoretical Maximum Welfare (Conservative) (10,000 simulations)

Simulation Results Summary: Theoretical Maximum Welfare (Conservative)

Statistic Value
Baseline (deterministic) $210 trillion
Mean (expected value) $209 trillion
Median (50th percentile) $204 trillion
Standard Deviation $31.6 trillion
90% Range (5th-95th percentile) [$169 trillion, $270 trillion]

The histogram shows the distribution of Theoretical Maximum Welfare (Conservative) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Theoretical Maximum Welfare (Conservative)

Probability of Exceeding Threshold: Theoretical Maximum Welfare (Conservative)

This exceedance probability chart shows the likelihood that Theoretical Maximum Welfare (Conservative) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Waste Total (Efficiency Accounting): $6.2 trillion

Global waste deduction used in Political Dysfunction Tax efficiency accounting. Combines US governance waste estimate with global explicit fossil-fuel subsidies.

Inputs:

\[ \begin{gathered} W_{waste} \\ = W_{total,US} + W_{ff,global} \\ = \$4.9T + \$1.3T \\ = \$6.2T \end{gathered} \] where: \[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Global Waste Total (Efficiency Accounting)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Government Waste (Total) (USD) 0.9676 Strong driver
Global Fossil Fuel Subsidies (USD) 0.2444 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Waste Total (Efficiency Accounting) (10,000 simulations)

Monte Carlo Distribution: Global Waste Total (Efficiency Accounting) (10,000 simulations)

Simulation Results Summary: Global Waste Total (Efficiency Accounting)

Statistic Value
Baseline (deterministic) $6.2 trillion
Mean (expected value) $6.19 trillion
Median (50th percentile) $6.18 trillion
Standard Deviation $390 billion
90% Range (5th-95th percentile) [$5.57 trillion, $6.85 trillion]

The histogram shows the distribution of Global Waste Total (Efficiency Accounting) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Waste Total (Efficiency Accounting)

Probability of Exceeding Threshold: Global Waste Total (Efficiency Accounting)

This exceedance probability chart shows the likelihood that Global Waste Total (Efficiency Accounting) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Political Dysfunction Tax per Household of Four (Annual): $50,500

Annual household burden for a 4-person household implied by global Political Dysfunction Tax.

Inputs:

\[ T_{pd,hh4} = T_{pd,pc} \times 4 = \$12.6K \times 4 = \$50.5K \] where: \[ \begin{gathered} T_{pd,pc} \\ = \frac{O_{total}}{Pop_{global}} \\ = \frac{\$101T}{8B} \\ = \$12.6K \end{gathered} \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Political Dysfunction Tax per Household of Four (Annual)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Political Dysfunction Tax per Person (Annual) (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Political Dysfunction Tax per Household of Four (Annual) (10,000 simulations)

Monte Carlo Distribution: Political Dysfunction Tax per Household of Four (Annual) (10,000 simulations)

Simulation Results Summary: Political Dysfunction Tax per Household of Four (Annual)

Statistic Value
Baseline (deterministic) $50,500
Mean (expected value) $50,290
Median (50th percentile) $47,521
Standard Deviation $15,820
90% Range (5th-95th percentile) [$29,798, $80,308]

The histogram shows the distribution of Political Dysfunction Tax per Household of Four (Annual) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Political Dysfunction Tax per Household of Four (Annual)

Probability of Exceeding Threshold: Political Dysfunction Tax per Household of Four (Annual)

This exceedance probability chart shows the likelihood that Political Dysfunction Tax per Household of Four (Annual) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Political Dysfunction Tax per Person (Annual): $12,625

Annual per-person burden implied by global Political Dysfunction Tax opportunity costs.

Inputs:

\[ \begin{gathered} T_{pd,pc} \\ = \frac{O_{total}}{Pop_{global}} \\ = \frac{\$101T}{8B} \\ = \$12.6K \end{gathered} \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Political Dysfunction Tax per Person (Annual)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Opportunity Cost Total (USD) 0.9996 Strong driver
Global Population in 2024 (of people) -0.0386 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Political Dysfunction Tax per Person (Annual) (10,000 simulations)

Monte Carlo Distribution: Political Dysfunction Tax per Person (Annual) (10,000 simulations)

Simulation Results Summary: Political Dysfunction Tax per Person (Annual)

Statistic Value
Baseline (deterministic) $12,625
Mean (expected value) $12,572
Median (50th percentile) $11,880
Standard Deviation $3,955
90% Range (5th-95th percentile) [$7,450, $20,077]

The histogram shows the distribution of Political Dysfunction Tax per Person (Annual) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Political Dysfunction Tax per Person (Annual)

Probability of Exceeding Threshold: Political Dysfunction Tax per Person (Annual)

This exceedance probability chart shows the likelihood that Political Dysfunction Tax per Person (Annual) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Percentage Military Spending Cut After WW2: 87.6%

Percentage US military spending cut after WW2 (1945-1947, inflation-adjusted: $1,420B to $176B in constant 2024 dollars)

Inputs:

\[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Percentage Military Spending Cut After WW2 is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 87.6%
Mean (expected value) 87.6%
Median (50th percentile) 87.6%
Standard Deviation 0%
90% Range (5th-95th percentile) [87.6%, 87.6%]

Exceedance Probability

Exceedance note: Percentage Military Spending Cut After WW2 collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 87.6%

Pragmatic Trial Cost per QALY (RECOVERY): $4

Cost per QALY for pragmatic platform trials, calculated from RECOVERY trial data. Uses global impact methodology: trial cost divided by total QALYs from downstream adoption. This measures research efficiency (discovery value), not clinical intervention ICER.

Inputs:

\[ \begin{gathered} Cost_{pragmatic,QALY} \\ = \frac{Cost_{RECOVERY}}{QALY_{RECOVERY}} \\ = \frac{\$20M}{5M} \\ = \$4 \end{gathered} \] where: \[ \begin{gathered} QALY_{RECOVERY} \\ = Lives_{RECOVERY} \times QALY_{COVID} \\ = 1M \times 5 \\ = 5M \end{gathered} \] Methodology:97

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Pragmatic Trial Cost per QALY (RECOVERY)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
RECOVERY Trial Total QALYs Generated (QALYs) -0.7945 Strong driver
RECOVERY Trial Total Cost (USD) 0.2519 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Pragmatic Trial Cost per QALY (RECOVERY) (10,000 simulations)

Monte Carlo Distribution: Pragmatic Trial Cost per QALY (RECOVERY) (10,000 simulations)

Simulation Results Summary: Pragmatic Trial Cost per QALY (RECOVERY)

Statistic Value
Baseline (deterministic) $4
Mean (expected value) $5.03
Median (50th percentile) $4.54
Standard Deviation $2.47
90% Range (5th-95th percentile) [$1.91, $9.8]

The histogram shows the distribution of Pragmatic Trial Cost per QALY (RECOVERY) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Pragmatic Trial Cost per QALY (RECOVERY)

Probability of Exceeding Threshold: Pragmatic Trial Cost per QALY (RECOVERY)

This exceedance probability chart shows the likelihood that Pragmatic Trial Cost per QALY (RECOVERY) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Price of Apocalypse (Minimum Viable Apocalypse): $752 million

The Price of Apocalypse: the annual cost of maintaining enough nuclear warheads to trigger a civilization-ending nuclear winter (~100 warheads, ~5 Tg soot, ~2 billion famine deaths, global food system collapse). Calculated as global nuclear spending divided by the nuclear winter overkill factor.

Inputs:

\[ \begin{gathered} P_{apocalypse} \\ = \frac{S_{nuke}}{Overkill_{winter}} \\ = \frac{\$92B}{122} \\ = \$752M \end{gathered} \] where: \[ \begin{gathered} Overkill_{winter} \\ = \frac{W_{global}}{W_{winter}} \\ = \frac{12{,}200}{100} \\ = 122 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Price of Apocalypse (Minimum Viable Apocalypse)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Nuclear Winter Overkill Factor (x) -0.9008 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Price of Apocalypse (Minimum Viable Apocalypse) (10,000 simulations)

Monte Carlo Distribution: Price of Apocalypse (Minimum Viable Apocalypse) (10,000 simulations)

Simulation Results Summary: Price of Apocalypse (Minimum Viable Apocalypse)

Statistic Value
Baseline (deterministic) $752 million
Mean (expected value) $1.31 billion
Median (50th percentile) $1.31 billion
Standard Deviation $544 million
90% Range (5th-95th percentile) [$464 million, $2.16 billion]

The histogram shows the distribution of Price of Apocalypse (Minimum Viable Apocalypse) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Price of Apocalypse (Minimum Viable Apocalypse)

Probability of Exceeding Threshold: Price of Apocalypse (Minimum Viable Apocalypse)

This exceedance probability chart shows the likelihood that Price of Apocalypse (Minimum Viable Apocalypse) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

PRIZE Pool Annual Return: 15.8%

Canonical annual return used for prize pool growth. Venture gross return + scale compression + crowd allocation alpha + home bias elimination. This is the structural pool return before contingent macro feedback loops.

Inputs:

\[ \begin{gathered} r_{pool} \\ = r_{VC,gross} + \Delta r_{scale} + \alpha_{crowd} \\ + \alpha_{home} \\ = 17\% + -2.5\% + 0.5\% + 0.8\% \\ = 15.8\% \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for PRIZE Pool Annual Return

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Venture Capital Gross Return (percent) 0.9039 Strong driver
Scale Compression Factor (percent) 0.3932 Moderate driver
Wishocratic Crowd Allocation Alpha (percent) 0.1453 Weak driver
Home Bias Return Drag (percent) 0.1197 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: PRIZE Pool Annual Return (10,000 simulations)

Monte Carlo Distribution: PRIZE Pool Annual Return (10,000 simulations)

Simulation Results Summary: PRIZE Pool Annual Return

Statistic Value
Baseline (deterministic) 15.8%
Mean (expected value) 15.8%
Median (50th percentile) 15.8%
Standard Deviation 2.41%
90% Range (5th-95th percentile) [11.8%, 19.8%]

The histogram shows the distribution of PRIZE Pool Annual Return across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: PRIZE Pool Annual Return

Probability of Exceeding Threshold: PRIZE Pool Annual Return

This exceedance probability chart shows the likelihood that PRIZE Pool Annual Return will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

PRIZE Pool Horizon Multiple: 9.03x

Compound multiple for prize pool growth over the resolution horizon (tied to the destructive economy 50% threshold year).

Inputs:

\[ M_{pool} = (1 + r_{pool})^{Y_{50\%} - Y_0} \] where: \[ \begin{gathered} r_{pool} \\ = r_{VC,gross} + \Delta r_{scale} + \alpha_{crowd} \\ + \alpha_{home} \\ = 17\% + -2.5\% + 0.5\% + 0.8\% \\ = 15.8\% \end{gathered} \] where: \[ \begin{gathered} Y_{50\%} \\ = Y_0 \\ + \frac{\ln\left(0.50 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for PRIZE Pool Horizon Multiple

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
PRIZE Pool Annual Return (percent) 0.9831 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: PRIZE Pool Horizon Multiple (10,000 simulations)

Monte Carlo Distribution: PRIZE Pool Horizon Multiple (10,000 simulations)

Simulation Results Summary: PRIZE Pool Horizon Multiple

Statistic Value
Baseline (deterministic) 9.03x
Mean (expected value) 9.49x
Median (50th percentile) 9.04x
Standard Deviation 2.99x
90% Range (5th-95th percentile) [5.36x, 15.1x]

The histogram shows the distribution of PRIZE Pool Horizon Multiple across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: PRIZE Pool Horizon Multiple

Probability of Exceeding Threshold: PRIZE Pool Horizon Multiple

This exceedance probability chart shows the likelihood that PRIZE Pool Horizon Multiple will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

PRIZE Pool Retirement-Equivalent Principal: $2.28 trillion

Secondary PRIZE seed benchmark: initial principal required so that the pool can make two referred votes retirement-equivalent on success at the majority-of-humanity coordination target. This is a stronger-incentive visible-pool benchmark, not the minimum capital required to make majority-of-humanity participation credible.

Inputs:

\[ \begin{gathered} P_{retire-eq} \\ = N_{voters,global} \times \frac{V_{claim,target}}{M_{pool}} \end{gathered} \] where: \[ \begin{gathered} V_{claim,target} \\ = V_{2claims,target} \times 0.5 \\ = \$9.98K \times 0.5 \\ = \$4.99K \end{gathered} \] where: \[ \begin{gathered} V_{2claims,target} \\ = S_{annual,pc} \times M_{retire} \\ = \$3.88K \times 2.57 \\ = \$9.98K \end{gathered} \] where: \[ \begin{gathered} S_{annual,pc} \\ = \frac{S_{annual}}{Pop_{global}} \\ = \frac{\$31.1T}{8B} \\ = \$3.88K \end{gathered} \] where: \[ \begin{gathered} S_{annual} \\ = s_{global} \times GDP_{global} \\ = 27\% \times \$115T \\ = \$31.1T \end{gathered} \] where: \[ M_{retire} = (1 + r_{retire})^{Y_{50\%} - Y_0} \] where: \[ \begin{gathered} Y_{50\%} \\ = Y_0 \\ + \frac{\ln\left(0.50 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] where: \[ M_{pool} = (1 + r_{pool})^{Y_{50\%} - Y_0} \] where: \[ \begin{gathered} r_{pool} \\ = r_{VC,gross} + \Delta r_{scale} + \alpha_{crowd} \\ + \alpha_{home} \\ = 17\% + -2.5\% + 0.5\% + 0.8\% \\ = 15.8\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for PRIZE Pool Retirement-Equivalent Principal

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
PRIZE Pool Horizon Multiple (x) -0.8658 Strong driver
Retirement-Equivalent Claim Value Target (USD) 0.3438 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: PRIZE Pool Retirement-Equivalent Principal (10,000 simulations)

Monte Carlo Distribution: PRIZE Pool Retirement-Equivalent Principal (10,000 simulations)

Simulation Results Summary: PRIZE Pool Retirement-Equivalent Principal

Statistic Value
Baseline (deterministic) $2.28 trillion
Mean (expected value) $2.41 trillion
Median (50th percentile) $2.27 trillion
Standard Deviation $817 billion
90% Range (5th-95th percentile) [$1.32 trillion, $3.96 trillion]

The histogram shows the distribution of PRIZE Pool Retirement-Equivalent Principal across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: PRIZE Pool Retirement-Equivalent Principal

Probability of Exceeding Threshold: PRIZE Pool Retirement-Equivalent Principal

This exceedance probability chart shows the likelihood that PRIZE Pool Retirement-Equivalent Principal will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Prize Pool Size: $27.5 trillion

Terminal prize pool size: global investable assets × participation rate × compound multiple over the resolution horizon.

Inputs:

\[ \begin{gathered} Pool \\ = Assets_{invest} \times R_{pool} \times M_{pool} \\ = \$305T \times 1\% \times 9.03 \\ = \$27.5T \end{gathered} \] where: \[ M_{pool} = (1 + r_{pool})^{Y_{50\%} - Y_0} \] where: \[ \begin{gathered} r_{pool} \\ = r_{VC,gross} + \Delta r_{scale} + \alpha_{crowd} \\ + \alpha_{home} \\ = 17\% + -2.5\% + 0.5\% + 0.8\% \\ = 15.8\% \end{gathered} \] where: \[ \begin{gathered} Y_{50\%} \\ = Y_0 \\ + \frac{\ln\left(0.50 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Prize Pool Size

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Prize Pool Participation Rate (percent) 0.9395 Strong driver
PRIZE Pool Horizon Multiple (x) 0.1773 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Prize Pool Size (10,000 simulations)

Monte Carlo Distribution: Prize Pool Size (10,000 simulations)

Simulation Results Summary: Prize Pool Size

Statistic Value
Baseline (deterministic) $27.5 trillion
Mean (expected value) $26.9 trillion
Median (50th percentile) $10 trillion
Standard Deviation $47.8 trillion
90% Range (5th-95th percentile) [$2.19 trillion, $109 trillion]

The histogram shows the distribution of Prize Pool Size across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Prize Pool Size

Probability of Exceeding Threshold: Prize Pool Size

This exceedance probability chart shows the likelihood that Prize Pool Size will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Prize Settlement Target: Global HALE (Year 15): 79.4 years

The Earth Optimization Prize settlement target for global HALE at year 15. Set to the Treaty-trajectory projection (the achievable floor). The terminal general-welfare metric oracle compares measured global HALE against this value.

Inputs:

\[ HALE^{*}_{15} = HALE_{treaty,15} = 79.4 = 79.4 \] where: \[ \begin{gathered} HALE_{treaty,15} \\ = HALE_{0} + \Delta HALE_{treaty,15} \\ = 63.3 + 16.1 \\ = 79.4 \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,15} \\ = f_{cure,15,treaty} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{treaty,longevity,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,longevity,15} \\ = T_{extend} \times \rho_{HALE,15} \times f_{cure,15,treaty} \\ = 20 \times 30\% \times 100\% \\ = 6 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Prize Settlement Target: Global HALE (Year 15)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Projected HALE at Year 15 (years) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Prize Settlement Target: Global HALE (Year 15) (10,000 simulations)

Monte Carlo Distribution: Prize Settlement Target: Global HALE (Year 15) (10,000 simulations)

Simulation Results Summary: Prize Settlement Target: Global HALE (Year 15)

Statistic Value
Baseline (deterministic) 79.4
Mean (expected value) 78.3
Median (50th percentile) 77
Standard Deviation 6.97
90% Range (5th-95th percentile) [70.2, 90.7]

The histogram shows the distribution of Prize Settlement Target: Global HALE (Year 15) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Prize Settlement Target: Global HALE (Year 15)

Probability of Exceeding Threshold: Prize Settlement Target: Global HALE (Year 15)

This exceedance probability chart shows the likelihood that Prize Settlement Target: Global HALE (Year 15) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Prize Settlement Target: Median Income (Year 15): $4,381

MODEL PROJECTION that informs the Prize settlement target for global median income at year 15 (Treaty-trajectory median). NOT the binding trigger: per the Target Lock clause in the protocol spec, a pool freezes its targets as literal constants in a signed Settlement Schedule before its first deposit, denominated as a multiple of the Referee’s baseline MEASURED value so target and measurement share identical units. This parameter is the rationale for the locked number, never its definition.

Inputs:

\[ \begin{gathered} \tilde{m}^{*}_{15} \\ = \tilde{m}_{treaty,15} \\ = \$4.38K \\ = \$4.38K \end{gathered} \] where: \[ \begin{gathered} \tilde{m}_{treaty,15} \\ = \bar{y}_{treaty,15} \times (1 - s_{mil} \times (1 - s_{ratchet})) \times \rho_{med} \times (1 - e_{med})^{15} \times (1 \\ + r_{relief} \times f_{cure,15,treaty}) \times (1 - \tau_{med}) \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,15} \\ = \frac{GDP_{treaty,15}}{Pop_{2040}} \\ = \frac{\$238T}{8.9B} \\ = \$26.7K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,15} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,15} \\ + g_{peace,treaty,15} + g_{cyber,treaty,15} \\ + g_{health,treaty,15})^{15} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,15} \\ = \bar{s}_{treaty,15} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 4.4\% \times 5.5\% \times 2 \times 1.67 \\ = 0.807\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,15} \\ = s_{ratchet} \times 0.212 \\ = 10\% \times 0.212 \\ = 4.4\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,15} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,15}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,15} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,15} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,15} \\ = \frac{f_{cure,15,treaty} - d_{disease}}{-7.22} \\ = \frac{100\% - 13\%}{-7.22} \\ = 0.818\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} s_{mil} \\ = \frac{Spending_{mil}}{GDP_{global}} \\ = \frac{\$2.72T}{\$115T} \\ = 2.37\% \end{gathered} \] where: \[ \begin{gathered} \rho_{med} \\ = \frac{\tilde{y}_{gallup}}{\bar{y}_{0}} \\ = \frac{\$2.92K}{\$14.4K} \\ = 0.203 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Prize Settlement Target: Median Income (Year 15)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Median After-Tax Consumable Income, Treaty (Year 15) (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Prize Settlement Target: Median Income (Year 15) (10,000 simulations)

Monte Carlo Distribution: Prize Settlement Target: Median Income (Year 15) (10,000 simulations)

Simulation Results Summary: Prize Settlement Target: Median Income (Year 15)

Statistic Value
Baseline (deterministic) $4,381
Mean (expected value) $4,312
Median (50th percentile) $4,291
Standard Deviation $646
90% Range (5th-95th percentile) [$3,292, $5,411]

The histogram shows the distribution of Prize Settlement Target: Median Income (Year 15) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Prize Settlement Target: Median Income (Year 15)

Probability of Exceeding Threshold: Prize Settlement Target: Median Income (Year 15)

This exceedance probability chart shows the likelihood that Prize Settlement Target: Median Income (Year 15) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

RECOVERY Trial Cost Reduction Factor: 82x

Cost reduction factor demonstrated by RECOVERY trial (traditional Phase 3 cost / RECOVERY cost per patient)

Inputs:

\[ \begin{gathered} k_{RECOVERY} \\ = \frac{Cost_{P3,pt}}{Cost_{RECOVERY,pt}} \\ = \frac{\$41K}{\$500} \\ = 82 \end{gathered} \]

Methodology:97

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for RECOVERY Trial Cost Reduction Factor

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Phase 3 Cost per Patient (USD/patient) 0.8407 Strong driver
Recovery Trial Cost per Patient (USD/patient) -0.4419 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: RECOVERY Trial Cost Reduction Factor (10,000 simulations)

Monte Carlo Distribution: RECOVERY Trial Cost Reduction Factor (10,000 simulations)

Simulation Results Summary: RECOVERY Trial Cost Reduction Factor

Statistic Value
Baseline (deterministic) 82x
Mean (expected value) 84.2x
Median (50th percentile) 69.2x
Standard Deviation 54.5x
90% Range (5th-95th percentile) [21.4x, 195x]

The histogram shows the distribution of RECOVERY Trial Cost Reduction Factor across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: RECOVERY Trial Cost Reduction Factor

Probability of Exceeding Threshold: RECOVERY Trial Cost Reduction Factor

This exceedance probability chart shows the likelihood that RECOVERY Trial Cost Reduction Factor will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

RECOVERY Trial Total QALYs Generated: 5 million QALYs

Total QALYs generated by RECOVERY trial’s discoveries (lives saved × QALYs per life). Uses global impact methodology: counts all downstream health gains from the discovery.

Inputs:

\[ \begin{gathered} QALY_{RECOVERY} \\ = Lives_{RECOVERY} \times QALY_{COVID} \\ = 1M \times 5 \\ = 5M \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for RECOVERY Trial Total QALYs Generated

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
RECOVERY Trial Global Lives Saved (lives) 0.7055 Strong driver
QALYs per COVID Death Averted (QALYs/death) 0.6520 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: RECOVERY Trial Total QALYs Generated (10,000 simulations)

Monte Carlo Distribution: RECOVERY Trial Total QALYs Generated (10,000 simulations)

Simulation Results Summary: RECOVERY Trial Total QALYs Generated

Statistic Value
Baseline (deterministic) 5 million
Mean (expected value) 4.97 million
Median (50th percentile) 4.35 million
Standard Deviation 2.53 million
90% Range (5th-95th percentile) [2.1 million, 10.1 million]

The histogram shows the distribution of RECOVERY Trial Total QALYs Generated across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: RECOVERY Trial Total QALYs Generated

Probability of Exceeding Threshold: RECOVERY Trial Total QALYs Generated

This exceedance probability chart shows the likelihood that RECOVERY Trial Total QALYs Generated will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Retirement-Equivalent 2-Claims Target Payout: $9,982

Target success-side payout for two referred votes: what one representative annual savings contribution would become in a conventional retirement account by PRIZE resolution.

Inputs:

\[ \begin{gathered} V_{2claims,target} \\ = S_{annual,pc} \times M_{retire} \\ = \$3.88K \times 2.57 \\ = \$9.98K \end{gathered} \] where: \[ \begin{gathered} S_{annual,pc} \\ = \frac{S_{annual}}{Pop_{global}} \\ = \frac{\$31.1T}{8B} \\ = \$3.88K \end{gathered} \] where: \[ \begin{gathered} S_{annual} \\ = s_{global} \times GDP_{global} \\ = 27\% \times \$115T \\ = \$31.1T \end{gathered} \] where: \[ M_{retire} = (1 + r_{retire})^{Y_{50\%} - Y_0} \] where: \[ \begin{gathered} Y_{50\%} \\ = Y_0 \\ + \frac{\ln\left(0.50 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Retirement-Equivalent 2-Claims Target Payout

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Conventional Retirement Horizon Multiple (x) 0.8781 Strong driver
Global Annual Savings Per Capita (USD/person/year) 0.4719 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Retirement-Equivalent 2-Claims Target Payout (10,000 simulations)

Monte Carlo Distribution: Retirement-Equivalent 2-Claims Target Payout (10,000 simulations)

Simulation Results Summary: Retirement-Equivalent 2-Claims Target Payout

Statistic Value
Baseline (deterministic) $9,982
Mean (expected value) $10,037
Median (50th percentile) $9,975
Standard Deviation $1,178
90% Range (5th-95th percentile) [$8,198, $12,088]

The histogram shows the distribution of Retirement-Equivalent 2-Claims Target Payout across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Retirement-Equivalent 2-Claims Target Payout

Probability of Exceeding Threshold: Retirement-Equivalent 2-Claims Target Payout

This exceedance probability chart shows the likelihood that Retirement-Equivalent 2-Claims Target Payout will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Retirement-Equivalent Claim Value Target: $4,991

Target value of one referred-voter claim when two claims are meant to match the conventional-retirement future value of one representative annual savings contribution.

Inputs:

\[ \begin{gathered} V_{claim,target} \\ = V_{2claims,target} \times 0.5 \\ = \$9.98K \times 0.5 \\ = \$4.99K \end{gathered} \] where: \[ \begin{gathered} V_{2claims,target} \\ = S_{annual,pc} \times M_{retire} \\ = \$3.88K \times 2.57 \\ = \$9.98K \end{gathered} \] where: \[ \begin{gathered} S_{annual,pc} \\ = \frac{S_{annual}}{Pop_{global}} \\ = \frac{\$31.1T}{8B} \\ = \$3.88K \end{gathered} \] where: \[ \begin{gathered} S_{annual} \\ = s_{global} \times GDP_{global} \\ = 27\% \times \$115T \\ = \$31.1T \end{gathered} \] where: \[ M_{retire} = (1 + r_{retire})^{Y_{50\%} - Y_0} \] where: \[ \begin{gathered} Y_{50\%} \\ = Y_0 \\ + \frac{\ln\left(0.50 / \text{DESTRUCTIVE\_PCT\_GDP}\right)}{\ln\left(1 + \text{DESTRUCTIVE\_GROWTH} - \text{GDP\_GROWTH}\right)} \end{gathered} \] where: \[ \begin{gathered} r_{destruct:GDP} \\ = \frac{Cost_{destruct}}{GDP_{global}} \\ = \frac{\$13.2T}{\$115T} \\ = 11.5\% \end{gathered} \] where: \[ \begin{gathered} Cost_{destruct} \\ = Spending_{mil} + Cost_{cyber} \\ = \$2.72T + \$10.5T \\ = \$13.2T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Retirement-Equivalent Claim Value Target

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Retirement-Equivalent 2-Claims Target Payout (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Retirement-Equivalent Claim Value Target (10,000 simulations)

Monte Carlo Distribution: Retirement-Equivalent Claim Value Target (10,000 simulations)

Simulation Results Summary: Retirement-Equivalent Claim Value Target

Statistic Value
Baseline (deterministic) $4,991
Mean (expected value) $5,018
Median (50th percentile) $4,987
Standard Deviation $589
90% Range (5th-95th percentile) [$4,099, $6,044]

The histogram shows the distribution of Retirement-Equivalent Claim Value Target across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Retirement-Equivalent Claim Value Target

Probability of Exceeding Threshold: Retirement-Equivalent Claim Value Target

This exceedance probability chart shows the likelihood that Retirement-Equivalent Claim Value Target will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

SE Bot Annual Modeled Belief Changes: 4.38 million people/year

Modeled annual belief updates from the outbound bot before deduplicating repeat exposures across posts. This is not a count of unique people.

Inputs:

\[ \begin{gathered} N_{belief,annual} \\ = V_{posts} \times N_{persuaded} \times 365 \\ = 100{,}000 \times 0.12 \times 365 \\ = 4.38M \end{gathered} \] where: \[ \begin{gathered} N_{persuaded} \\ = P_{target} + M_{obs} \times P_{obs} \\ = 2\% + 20 \times 0.5\% \\ = 0.12 \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for SE Bot Annual Modeled Belief Changes

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
People Persuaded Per Post (people/post) 0.4973 Moderate driver
Relevant Posts Per Day (Global) (posts/day) 0.3007 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: SE Bot Annual Modeled Belief Changes (10,000 simulations)

Monte Carlo Distribution: SE Bot Annual Modeled Belief Changes (10,000 simulations)

Simulation Results Summary: SE Bot Annual Modeled Belief Changes

Statistic Value
Baseline (deterministic) 4.38 million
Mean (expected value) 3.93 million
Median (50th percentile) 575 thousand
Standard Deviation 21 million
90% Range (5th-95th percentile) [32,254, 14.3 million]

The histogram shows the distribution of SE Bot Annual Modeled Belief Changes across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: SE Bot Annual Modeled Belief Changes

Probability of Exceeding Threshold: SE Bot Annual Modeled Belief Changes

This exceedance probability chart shows the likelihood that SE Bot Annual Modeled Belief Changes will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Special Education Peace-Dividend Expected Value: $11.4 million

Conservative expected annual social value from outbound Special Education: attribution_fraction x annual peace dividend. This is a treaty-only fallback, not the universal-owner portfolio case.

Inputs:

\[ \begin{gathered} EV_{bot} \\ = \alpha_{bot} \times Benefit_{peace,soc} \\ = 0.01\% \times \$114B \\ = \$11.4M \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Special Education Peace-Dividend Expected Value

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Special Education Outcome Attribution Fraction (rate) 0.9961 Strong driver
Annual Peace Dividend from 1% Reduction in Total War Costs (USD/year) 0.0148 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Special Education Peace-Dividend Expected Value (10,000 simulations)

Monte Carlo Distribution: Special Education Peace-Dividend Expected Value (10,000 simulations)

Simulation Results Summary: Special Education Peace-Dividend Expected Value

Statistic Value
Baseline (deterministic) $11.4 million
Mean (expected value) $9.28 million
Median (50th percentile) $428,409
Standard Deviation $57.6 million
90% Range (5th-95th percentile) [$104,608, $29.2 million]

The histogram shows the distribution of Special Education Peace-Dividend Expected Value across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Special Education Peace-Dividend Expected Value

Probability of Exceeding Threshold: Special Education Peace-Dividend Expected Value

This exceedance probability chart shows the likelihood that Special Education Peace-Dividend Expected Value will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

SE Bot Annual Operational Cost: $292,000

Annual cost to correct all relevant posts globally: cost_per_post * posts_per_day * days_per_year.

Inputs:

\[ \begin{gathered} C_{annual} \\ = C_{post} \times V_{posts} \times 365 \\ = \$0.008 \times 100{,}000 \times 365 \\ = \$292K \end{gathered} \] where: \[ \begin{gathered} C_{post} \\ = C_{llm} + C_{platform} \\ = \$0.006 + \$0.002 \\ = \$0.008 \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for SE Bot Annual Operational Cost

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Relevant Posts Per Day (Global) (posts/day) 0.7242 Strong driver
SE Bot Cost Per Post (USD) 0.3512 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: SE Bot Annual Operational Cost (10,000 simulations)

Monte Carlo Distribution: SE Bot Annual Operational Cost (10,000 simulations)

Simulation Results Summary: SE Bot Annual Operational Cost

Statistic Value
Baseline (deterministic) $292,000
Mean (expected value) $273,961
Median (50th percentile) $83,425
Standard Deviation $644,394
90% Range (5th-95th percentile) [$8,608, $1.15 million]

The histogram shows the distribution of SE Bot Annual Operational Cost across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: SE Bot Annual Operational Cost

Probability of Exceeding Threshold: SE Bot Annual Operational Cost

This exceedance probability chart shows the likelihood that SE Bot Annual Operational Cost will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

$1T AUM Universal-Owner Breakeven Attribution Fraction: 0.000166%

Political dysfunction attribution fraction required for a $1T universal-owner investor’s portfolio gain to cover annual Special Education operating cost.

Inputs:

\[ \begin{gathered} \alpha_{breakeven,UO} \\ = C_{annual} \times M_{equity} / (O_{total} \times f_{equity} \times AUM_{ref}) \end{gathered} \] where: \[ \begin{gathered} C_{annual} \\ = C_{post} \times V_{posts} \times 365 \\ = \$0.008 \times 100{,}000 \times 365 \\ = \$292K \end{gathered} \] where: \[ \begin{gathered} C_{post} \\ = C_{llm} + C_{platform} \\ = \$0.006 + \$0.002 \\ = \$0.008 \end{gathered} \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for $1T AUM Universal-Owner Breakeven Attribution Fraction

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
SE Bot Annual Operational Cost (USD/year) 0.8127 Strong driver
Equity Capture Share of Public Value (percentage) -0.1575 Weak driver
Global Opportunity Cost Total (USD) -0.0960 Minimal effect
Global Listed Equity Market Capitalization (USD) 0.0324 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: $1T AUM Universal-Owner Breakeven Attribution Fraction (10,000 simulations)

Monte Carlo Distribution: $1T AUM Universal-Owner Breakeven Attribution Fraction (10,000 simulations)

Simulation Results Summary: $1T AUM Universal-Owner Breakeven Attribution Fraction

Statistic Value
Baseline (deterministic) 0.000166%
Mean (expected value) 0.000213%
Median (50th percentile) 5.54e-05%
Standard Deviation 0.000607%
90% Range (5th-95th percentile) [4.7e-06%, 0.000877%]

The histogram shows the distribution of $1T AUM Universal-Owner Breakeven Attribution Fraction across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: $1T AUM Universal-Owner Breakeven Attribution Fraction

Probability of Exceeding Threshold: $1T AUM Universal-Owner Breakeven Attribution Fraction

This exceedance probability chart shows the likelihood that $1T AUM Universal-Owner Breakeven Attribution Fraction will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

$1T AUM Universal-Owner Portfolio Gain from Special Education: $17.6 million

Expected portfolio gain for a $1T universal-owner fund from one year of outbound Special Education. Calculation: attribution_fraction x political_dysfunction_tax x equity_capture_share / global_equity_market_cap x reference_AUM.

Inputs:

\[ \begin{gathered} G_{UO,1T} \\ = \alpha_{bot} \times O_{total} \times \frac{f_{equity}}{M_{equity}} \times AUM_{ref} \end{gathered} \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for $1T AUM Universal-Owner Portfolio Gain from Special Education

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Special Education Outcome Attribution Fraction (rate) 0.8704 Strong driver
Equity Capture Share of Public Value (percentage) 0.0517 Minimal effect
Global Opportunity Cost Total (USD) 0.0469 Minimal effect
Global Listed Equity Market Capitalization (USD) -0.0166 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: $1T AUM Universal-Owner Portfolio Gain from Special Education (10,000 simulations)

Monte Carlo Distribution: $1T AUM Universal-Owner Portfolio Gain from Special Education (10,000 simulations)

Simulation Results Summary: $1T AUM Universal-Owner Portfolio Gain from Special Education

Statistic Value
Baseline (deterministic) $17.6 million
Mean (expected value) $15.7 million
Median (50th percentile) $591,637
Standard Deviation $120 million
90% Range (5th-95th percentile) [$81,721, $40.9 million]

The histogram shows the distribution of $1T AUM Universal-Owner Portfolio Gain from Special Education across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: $1T AUM Universal-Owner Portfolio Gain from Special Education

Probability of Exceeding Threshold: $1T AUM Universal-Owner Portfolio Gain from Special Education

This exceedance probability chart shows the likelihood that $1T AUM Universal-Owner Portfolio Gain from Special Education will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

$1T AUM Universal-Owner Portfolio ROI from Special Education: 60.2:1

Portfolio-only ROI for a $1T universal-owner investor: expected portfolio gain from political dysfunction tax recovery divided by annual Special Education operating cost.

Inputs:

\[ \begin{gathered} ROI_{UO,1T} \\ = \frac{G_{UO,1T}}{C_{annual}} \\ = \frac{\$17.6M}{\$292K} \\ = 60.2 \end{gathered} \] where: \[ \begin{gathered} G_{UO,1T} \\ = \alpha_{bot} \times O_{total} \times \frac{f_{equity}}{M_{equity}} \times AUM_{ref} \end{gathered} \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] where: \[ \begin{gathered} C_{annual} \\ = C_{post} \times V_{posts} \times 365 \\ = \$0.008 \times 100{,}000 \times 365 \\ = \$292K \end{gathered} \] where: \[ \begin{gathered} C_{post} \\ = C_{llm} + C_{platform} \\ = \$0.006 + \$0.002 \\ = \$0.008 \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for $1T AUM Universal-Owner Portfolio ROI from Special Education

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
$1T AUM Universal-Owner Portfolio Gain from Special Education (USD) 0.7621 Strong driver
SE Bot Annual Operational Cost (USD/year) -0.0240 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: $1T AUM Universal-Owner Portfolio ROI from Special Education (10,000 simulations)

Monte Carlo Distribution: $1T AUM Universal-Owner Portfolio ROI from Special Education (10,000 simulations)

Simulation Results Summary: $1T AUM Universal-Owner Portfolio ROI from Special Education

Statistic Value
Baseline (deterministic) 60.2:1
Mean (expected value) 464:1
Median (50th percentile) 8.56:1
Standard Deviation 6,386:1
90% Range (5th-95th percentile) [0.25:1, 934:1]

The histogram shows the distribution of $1T AUM Universal-Owner Portfolio ROI from Special Education across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: $1T AUM Universal-Owner Portfolio ROI from Special Education

Probability of Exceeding Threshold: $1T AUM Universal-Owner Portfolio ROI from Special Education

This exceedance probability chart shows the likelihood that $1T AUM Universal-Owner Portfolio ROI from Special Education will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

SE Bot Cost Per Belief Change: $0.067

Cost per person whose belief is durably updated: cost_per_post / people_persuaded_per_post.

Inputs:

\[ \begin{gathered} C_{belief} \\ = \frac{C_{post}}{N_{persuaded}} \\ = \frac{\$0.008}{0.12} \\ = \$0.0667 \end{gathered} \] where: \[ \begin{gathered} C_{post} \\ = C_{llm} + C_{platform} \\ = \$0.006 + \$0.002 \\ = \$0.008 \end{gathered} \] where: \[ \begin{gathered} N_{persuaded} \\ = P_{target} + M_{obs} \times P_{obs} \\ = 2\% + 20 \times 0.5\% \\ = 0.12 \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for SE Bot Cost Per Belief Change

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
SE Bot Cost Per Post (USD) 0.4281 Moderate driver
People Persuaded Per Post (people/post) -0.1725 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: SE Bot Cost Per Belief Change (10,000 simulations)

Monte Carlo Distribution: SE Bot Cost Per Belief Change (10,000 simulations)

Simulation Results Summary: SE Bot Cost Per Belief Change

Statistic Value
Baseline (deterministic) $0.067
Mean (expected value) $0.369
Median (50th percentile) $0.149
Standard Deviation $0.679
90% Range (5th-95th percentile) [$0.012, $1.44]

The histogram shows the distribution of SE Bot Cost Per Belief Change across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: SE Bot Cost Per Belief Change

Probability of Exceeding Threshold: SE Bot Cost Per Belief Change

This exceedance probability chart shows the likelihood that SE Bot Cost Per Belief Change will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

SE Bot Cost Per Post: $0.008

Total marginal cost to generate, screen, and post one correction reply.

Inputs:

\[ \begin{gathered} C_{post} \\ = C_{llm} + C_{platform} \\ = \$0.006 + \$0.002 \\ = \$0.008 \end{gathered} \]

? Low confidence

Sensitivity Analysis

Sensitivity Indices for SE Bot Cost Per Post

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
SE Bot LLM Cost Per Post (USD) 0.8864 Strong driver
SE Bot Platform Overhead Per Post (USD) 0.4695 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: SE Bot Cost Per Post (10,000 simulations)

Monte Carlo Distribution: SE Bot Cost Per Post (10,000 simulations)

Simulation Results Summary: SE Bot Cost Per Post

Statistic Value
Baseline (deterministic) $0.008
Mean (expected value) $0.00796
Median (50th percentile) $0.0057
Standard Deviation $0.00649
90% Range (5th-95th percentile) [$0.0025, $0.023]

The histogram shows the distribution of SE Bot Cost Per Post across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: SE Bot Cost Per Post

Probability of Exceeding Threshold: SE Bot Cost Per Post

This exceedance probability chart shows the likelihood that SE Bot Cost Per Post will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

People Persuaded Per Post: 0.12 people/post

Expected number of people whose belief is durably updated per correction post: (1 target * target_change_rate) + (observer_multiplier * observer_change_rate). This counts modeled belief updates, not unique humans across the whole campaign.

Inputs:

\[ \begin{gathered} N_{persuaded} \\ = P_{target} + M_{obs} \times P_{obs} \\ = 2\% + 20 \times 0.5\% \\ = 0.12 \end{gathered} \]

? Low confidence

Sensitivity Analysis

Sensitivity Indices for People Persuaded Per Post

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Observer Multiplier (people per post) 0.5411 Strong driver
Observer Belief Change Rate (rate) 0.4356 Moderate driver
Target Belief Change Rate (rate) 0.0805 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: People Persuaded Per Post (10,000 simulations)

Monte Carlo Distribution: People Persuaded Per Post (10,000 simulations)

Simulation Results Summary: People Persuaded Per Post

Statistic Value
Baseline (deterministic) 0.12
Mean (expected value) 0.116
Median (50th percentile) 0.0419
Standard Deviation 0.304
90% Range (5th-95th percentile) [0.00554, 0.437]

The histogram shows the distribution of People Persuaded Per Post across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: People Persuaded Per Post

Probability of Exceeding Threshold: People Persuaded Per Post

This exceedance probability chart shows the likelihood that People Persuaded Per Post will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Special Education Political Dysfunction Expected Social Value: $10.1 billion

Expected annual social value from outbound Special Education under the political dysfunction tax framing: attribution_fraction x annual global opportunity cost from governance failures. This is the broad public-value case, not a direct portfolio return.

Inputs:

\[ \begin{gathered} EV_{SE,PDT} \\ = \alpha_{bot} \times O_{total} \\ = 0.01\% \times \$101T \\ = \$10.1B \end{gathered} \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Special Education Political Dysfunction Expected Social Value

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Special Education Outcome Attribution Fraction (rate) 0.9363 Strong driver
Global Opportunity Cost Total (USD) 0.0558 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Special Education Political Dysfunction Expected Social Value (10,000 simulations)

Monte Carlo Distribution: Special Education Political Dysfunction Expected Social Value (10,000 simulations)

Simulation Results Summary: Special Education Political Dysfunction Expected Social Value

Statistic Value
Baseline (deterministic) $10.1 billion
Mean (expected value) $8.58 billion
Median (50th percentile) $371 million
Standard Deviation $58.9 billion
90% Range (5th-95th percentile) [$71 million, $25.4 billion]

The histogram shows the distribution of Special Education Political Dysfunction Expected Social Value across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Special Education Political Dysfunction Expected Social Value

Probability of Exceeding Threshold: Special Education Political Dysfunction Expected Social Value

This exceedance probability chart shows the likelihood that Special Education Political Dysfunction Expected Social Value will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Special Education Political Dysfunction Social ROI: 34.6 thousand:1

Broad social ROI for outbound Special Education: political_dysfunction_annual_EV / annual_operational_cost. This is useful as a social-value ceiling, while the universal-owner ROI estimates the investable portfolio case.

Inputs:

\[ \begin{gathered} ROI_{SE,PDT} \\ = \frac{EV_{SE,PDT}}{C_{annual}} \\ = \frac{\$10.1B}{\$292K} \\ = 34{,}600 \end{gathered} \] where: \[ \begin{gathered} EV_{SE,PDT} \\ = \alpha_{bot} \times O_{total} \\ = 0.01\% \times \$101T \\ = \$10.1B \end{gathered} \] where: \[ \begin{gathered} O_{total} \\ = O_{health} + O_{science} + O_{lead} + O_{migration} \\ = \$34T + \$4T + \$6T + \$57T \\ = \$101T \end{gathered} \] where: \[ \begin{gathered} C_{annual} \\ = C_{post} \times V_{posts} \times 365 \\ = \$0.008 \times 100{,}000 \times 365 \\ = \$292K \end{gathered} \] where: \[ \begin{gathered} C_{post} \\ = C_{llm} + C_{platform} \\ = \$0.006 + \$0.002 \\ = \$0.008 \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Special Education Political Dysfunction Social ROI

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Special Education Political Dysfunction Expected Social Value (USD/year) 0.6404 Strong driver
SE Bot Annual Operational Cost (USD/year) -0.0334 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Special Education Political Dysfunction Social ROI (10,000 simulations)

Monte Carlo Distribution: Special Education Political Dysfunction Social ROI (10,000 simulations)

Simulation Results Summary: Special Education Political Dysfunction Social ROI

Statistic Value
Baseline (deterministic) 34.6 thousand:1
Mean (expected value) 237 thousand:1
Median (50th percentile) 5,472:1
Standard Deviation 2.67 million:1
90% Range (5th-95th percentile) [170:1, 536 thousand:1]

The histogram shows the distribution of Special Education Political Dysfunction Social ROI across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Special Education Political Dysfunction Social ROI

Probability of Exceeding Threshold: Special Education Political Dysfunction Social ROI

This exceedance probability chart shows the likelihood that Special Education Political Dysfunction Social ROI will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Special Education Peace-Dividend Social ROI: 38.9:1

Conservative treaty-only social ROI for outbound Special Education: peace_dividend_annual_EV / annual_operational_cost. This excludes broader political dysfunction tax recovery and universal-owner portfolio gains.

Inputs:

\[ \begin{gathered} ROI_{bot} \\ = \frac{EV_{bot}}{C_{annual}} \\ = \frac{\$11.4M}{\$292K} \\ = 38.9 \end{gathered} \] where: \[ \begin{gathered} EV_{bot} \\ = \alpha_{bot} \times Benefit_{peace,soc} \\ = 0.01\% \times \$114B \\ = \$11.4M \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} C_{annual} \\ = C_{post} \times V_{posts} \times 365 \\ = \$0.008 \times 100{,}000 \times 365 \\ = \$292K \end{gathered} \] where: \[ \begin{gathered} C_{post} \\ = C_{llm} + C_{platform} \\ = \$0.006 + \$0.002 \\ = \$0.008 \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Special Education Peace-Dividend Social ROI

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Special Education Peace-Dividend Expected Value (USD/year) 0.6255 Strong driver
SE Bot Annual Operational Cost (USD/year) -0.0405 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Special Education Peace-Dividend Social ROI (10,000 simulations)

Monte Carlo Distribution: Special Education Peace-Dividend Social ROI (10,000 simulations)

Simulation Results Summary: Special Education Peace-Dividend Social ROI

Statistic Value
Baseline (deterministic) 38.9:1
Mean (expected value) 251:1
Median (50th percentile) 6.34:1
Standard Deviation 2,314:1
90% Range (5th-95th percentile) [0.207:1, 607:1]

The histogram shows the distribution of Special Education Peace-Dividend Social ROI across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Special Education Peace-Dividend Social ROI

Probability of Exceeding Threshold: Special Education Peace-Dividend Social ROI

This exceedance probability chart shows the likelihood that Special Education Peace-Dividend Social ROI will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Sharing Breakeven (1 in N): 8.66 million:1

Breakeven probability expressed as ‘1 in N’. Forwarding has positive expected value if you believe there is at least a 1-in-N chance the plan works. For context, lightning strike odds are ~1 in 1.2 million.

Inputs:

\[ N_{breakeven} = P_{breakeven} = 1\text{ in }8.66M = 8.66M \] where: \[ \begin{gathered} P_{breakeven} \\ = \frac{C_{share}}{\Delta Y_{lifetime,treaty}} \\ = \frac{\$0.0599}{\$519K} \\ = 1\text{ in }8.66M \end{gathered} \] where: \[ \begin{gathered} C_{share} \\ = t_{share} \times \bar{w}_{hour} \times 0.0167 \\ = 0.5 \times \$7.19 \times 0.0167 \\ = \$0.0599 \end{gathered} \] where: \[ \begin{gathered} \bar{w}_{hour} \\ = \frac{\bar{y}_{0}}{H_{work}} \\ = \frac{\$14.4K}{2{,}000} \\ = \$7.19 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \Delta Y_{lifetime,treaty} \\ = Y_{cum,treaty} - Y_{cum,earth} \\ = \$1.42M - \$904K \\ = \$519K \end{gathered} \] where: \[ \begin{gathered} Y_{cum,treaty} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,treaty})((1+g_{pc,treaty})^{20}-1)}{g_{pc,treaty}} \\ + \bar{y}_{treaty,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Sharing Breakeven (1 in N)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Sharing Breakeven Probability (probability) -0.7470 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Sharing Breakeven (1 in N) (10,000 simulations)

Monte Carlo Distribution: Sharing Breakeven (1 in N) (10,000 simulations)

Simulation Results Summary: Sharing Breakeven (1 in N)

Statistic Value
Baseline (deterministic) 8.66 million:1
Mean (expected value) 8.88 million:1
Median (50th percentile) 8.7 million:1
Standard Deviation 3.18 million:1
90% Range (5th-95th percentile) [3.71 million:1, 14.4 million:1]

The histogram shows the distribution of Sharing Breakeven (1 in N) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Sharing Breakeven (1 in N)

Probability of Exceeding Threshold: Sharing Breakeven (1 in N)

This exceedance probability chart shows the likelihood that Sharing Breakeven (1 in N) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Sharing Breakeven Probability: 1 in 8.66 million

Minimum probability that the plan works for forwarding to have positive expected value. EV > 0 when P(works) > cost_of_sharing / gain_if_works. Below this probability, not forwarding is rational. Above it, forwarding dominates. For context, the odds of being struck by lightning are ~1 in 1.2 million.

Inputs:

\[ \begin{gathered} P_{breakeven} \\ = \frac{C_{share}}{\Delta Y_{lifetime,treaty}} \\ = \frac{\$0.0599}{\$519K} \\ = 1\text{ in }8.66M \end{gathered} \] where: \[ \begin{gathered} C_{share} \\ = t_{share} \times \bar{w}_{hour} \times 0.0167 \\ = 0.5 \times \$7.19 \times 0.0167 \\ = \$0.0599 \end{gathered} \] where: \[ \begin{gathered} \bar{w}_{hour} \\ = \frac{\bar{y}_{0}}{H_{work}} \\ = \frac{\$14.4K}{2{,}000} \\ = \$7.19 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \Delta Y_{lifetime,treaty} \\ = Y_{cum,treaty} - Y_{cum,earth} \\ = \$1.42M - \$904K \\ = \$519K \end{gathered} \] where: \[ \begin{gathered} Y_{cum,treaty} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,treaty})((1+g_{pc,treaty})^{20}-1)}{g_{pc,treaty}} \\ + \bar{y}_{treaty,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Sharing Breakeven Probability

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory Lifetime Income Gain (Per Capita) (USD) -0.7472 Strong driver
Sharing Opportunity Cost (USD) 0.0172 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Sharing Breakeven Probability (10,000 simulations)

Monte Carlo Distribution: Sharing Breakeven Probability (10,000 simulations)

Simulation Results Summary: Sharing Breakeven Probability

Statistic Value
Baseline (deterministic) 1 in 8.66 million
Mean (expected value) 1 in 7.33 million
Median (50th percentile) 1 in 8.7 million
Standard Deviation 1 in 11.2 million
90% Range (5th-95th percentile) [1 in 14.4 million, 1 in 3.71 million]

The histogram shows the distribution of Sharing Breakeven Probability across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Sharing Breakeven Probability

Probability of Exceeding Threshold: Sharing Breakeven Probability

This exceedance probability chart shows the likelihood that Sharing Breakeven Probability will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Sharing Opportunity Cost: $0.06

Dollar cost of 30 seconds at global average hourly income. The maximum downside of forwarding the message if the plan is impossible.

Inputs:

\[ \begin{gathered} C_{share} \\ = t_{share} \times \bar{w}_{hour} \times 0.0167 \\ = 0.5 \times \$7.19 \times 0.0167 \\ = \$0.0599 \end{gathered} \] where: \[ \begin{gathered} \bar{w}_{hour} \\ = \frac{\bar{y}_{0}}{H_{work}} \\ = \frac{\$14.4K}{2{,}000} \\ = \$7.19 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Sharing Opportunity Cost

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Average Hourly Income (USD/hour) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Sharing Opportunity Cost (10,000 simulations)

Monte Carlo Distribution: Sharing Opportunity Cost (10,000 simulations)

Simulation Results Summary: Sharing Opportunity Cost

Statistic Value
Baseline (deterministic) $0.06
Mean (expected value) $0.06
Median (50th percentile) $0.06
Standard Deviation $0.000728
90% Range (5th-95th percentile) [$0.059, $0.061]

The histogram shows the distribution of Sharing Opportunity Cost across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Sharing Opportunity Cost

Probability of Exceeding Threshold: Sharing Opportunity Cost

This exceedance probability chart shows the likelihood that Sharing Opportunity Cost will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Sharing Upside/Downside Ratio: 8.7Mx

Raw ratio of upside (lifetime income gain if plan works) to downside (cost of sharing if plan is impossible). Not expected value; see SHARING_BREAKEVEN_PROBABILITY_TREATY for the probability threshold that makes forwarding rational.

Inputs:

\[ \begin{gathered} k_{upside:downside} \\ = \frac{\Delta Y_{lifetime,treaty}}{C_{share}} \\ = \frac{\$519K}{\$0.0599} \\ = 8.66M \end{gathered} \] where: \[ \begin{gathered} \Delta Y_{lifetime,treaty} \\ = Y_{cum,treaty} - Y_{cum,earth} \\ = \$1.42M - \$904K \\ = \$519K \end{gathered} \] where: \[ \begin{gathered} Y_{cum,treaty} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,treaty})((1+g_{pc,treaty})^{20}-1)}{g_{pc,treaty}} \\ + \bar{y}_{treaty,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} C_{share} \\ = t_{share} \times \bar{w}_{hour} \times 0.0167 \\ = 0.5 \times \$7.19 \times 0.0167 \\ = \$0.0599 \end{gathered} \] where: \[ \begin{gathered} \bar{w}_{hour} \\ = \frac{\bar{y}_{0}}{H_{work}} \\ = \frac{\$14.4K}{2{,}000} \\ = \$7.19 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Sharing Upside/Downside Ratio

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory Lifetime Income Gain (Per Capita) (USD) 0.9992 Strong driver
Sharing Opportunity Cost (USD) -0.0339 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Sharing Upside/Downside Ratio (10,000 simulations)

Monte Carlo Distribution: Sharing Upside/Downside Ratio (10,000 simulations)

Simulation Results Summary: Sharing Upside/Downside Ratio

Statistic Value
Baseline (deterministic) 8.7Mx
Mean (expected value) 8.9Mx
Median (50th percentile) 8.7Mx
Standard Deviation 3.2Mx
90% Range (5th-95th percentile) [3.7Mx, 14.4Mx]

The histogram shows the distribution of Sharing Upside/Downside Ratio across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Sharing Upside/Downside Ratio

Probability of Exceeding Threshold: Sharing Upside/Downside Ratio

This exceedance probability chart shows the likelihood that Sharing Upside/Downside Ratio will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Shirt-Induced Laughs Gained: 3.51 quadrillion laughs

Conservative first-order count of additional laughs across human history attributable to the shirt-triggered cascade. Computed as DALYs averted (healthy life-years restored by disease eradication) multiplied by laughs per healthy life-year. Does not count second-order laughs in future generations of human and post-human civilization whose existence is contingent on cascade triggering.

Inputs:

\[ \begin{gathered} L_{shirt} \\ = DALYs_{max} \times L_{year} \\ = 565B \times 6{,}200 \\ = 3510T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ L_{year} = L_{day} \times 365 = 17 \times 365 = 6{,}200 \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Shirt-Induced Laughs Gained

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Human Laughs per Healthy Life-Year (laughs) 0.8124 Strong driver
Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (DALYs) 0.4948 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Shirt-Induced Laughs Gained (10,000 simulations)

Monte Carlo Distribution: Shirt-Induced Laughs Gained (10,000 simulations)

Simulation Results Summary: Shirt-Induced Laughs Gained

Statistic Value
Baseline (deterministic) 3.51 quadrillion
Mean (expected value) 3.9 quadrillion
Median (50th percentile) 3.07 quadrillion
Standard Deviation 2.92 quadrillion
90% Range (5th-95th percentile) [971 trillion, 9.71 quadrillion]

The histogram shows the distribution of Shirt-Induced Laughs Gained across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Shirt-Induced Laughs Gained

Probability of Exceeding Threshold: Shirt-Induced Laughs Gained

This exceedance probability chart shows the likelihood that Shirt-Induced Laughs Gained will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Shirt Program Expected Value per Dollar: 424 million:1

Probability-weighted expected value per foundation-escrow dollar: treaty value multiplied by the cascade probability given seed, divided by the seed-program escrow. The defensible expected-value pitch for a skeptical foundation officer who does not want to bet on the headline ROI.

Inputs:

\[ \begin{gathered} EV_{shirt} \\ = (Value_{max} \times P_{cascade,shirt}) / C_{seed,total} \end{gathered} \] where: \[ \begin{gathered} Value_{max} \\ = DALYs_{max} \times Value_{QALY} \\ = 565B \times \$150K \\ = \$84800T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} C_{seed,total} \\ = N_{seed,shirt} \times C_{seed,wearer} \\ = 1M \times \$50 \\ = \$50M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Shirt Program Expected Value per Dollar

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Shirt Cascade Probability Given Seed (rate) 0.3039 Moderate driver
Shirt Seed Program Total Cost (USD) -0.2616 Weak driver
Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (USD) 0.2388 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Shirt Program Expected Value per Dollar (10,000 simulations)

Monte Carlo Distribution: Shirt Program Expected Value per Dollar (10,000 simulations)

Simulation Results Summary: Shirt Program Expected Value per Dollar

Statistic Value
Baseline (deterministic) 424 million:1
Mean (expected value) 2038 million:1
Median (50th percentile) 805 million:1
Standard Deviation 3732 million:1
90% Range (5th-95th percentile) [74.1 million:1, 8213 million:1]

The histogram shows the distribution of Shirt Program Expected Value per Dollar across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Shirt Program Expected Value per Dollar

Probability of Exceeding Threshold: Shirt Program Expected Value per Dollar

This exceedance probability chart shows the likelihood that Shirt Program Expected Value per Dollar will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Shirt Program ROI Ratio: 1696 million:1

Unconditional ROI ratio: treaty-trajectory total economic value divided by the seed-program escrow. Headline ‘X-to-one’ framing for foundations. Does NOT discount for cascade probability; see SHIRT_PROGRAM_EXPECTED_VALUE_PER_DOLLAR for the probability-weighted view.

Inputs:

\[ \begin{gathered} ROI_{shirt} \\ = \frac{Value_{max}}{C_{seed,total}} \\ = \frac{\$84800T}{\$50M} \\ = 1.7B \end{gathered} \] where: \[ \begin{gathered} Value_{max} \\ = DALYs_{max} \times Value_{QALY} \\ = 565B \times \$150K \\ = \$84800T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} C_{seed,total} \\ = N_{seed,shirt} \times C_{seed,wearer} \\ = 1M \times \$50 \\ = \$50M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Shirt Program ROI Ratio

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Shirt Seed Program Total Cost (USD) -0.3053 Moderate driver
Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (USD) 0.2829 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Shirt Program ROI Ratio (10,000 simulations)

Monte Carlo Distribution: Shirt Program ROI Ratio (10,000 simulations)

Simulation Results Summary: Shirt Program ROI Ratio

Statistic Value
Baseline (deterministic) 1696 million:1
Mean (expected value) 8255 million:1
Median (50th percentile) 3758 million:1
Standard Deviation 12900 million:1
90% Range (5th-95th percentile) [447 million:1, 31123 million:1]

The histogram shows the distribution of Shirt Program ROI Ratio across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Shirt Program ROI Ratio

Probability of Exceeding Threshold: Shirt Program ROI Ratio

This exceedance probability chart shows the likelihood that Shirt Program ROI Ratio will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Shirt Seed Program Total Cost: $50 million

Total foundation escrow required to fund the seed-wearer program: threshold of visible humans multiplied by blended cost per wearer. Held in Earth Optimization Prize assurance contract; refunded at structural EOP return rate if neither treaty passage nor target hit.

Inputs:

\[ \begin{gathered} C_{seed,total} \\ = N_{seed,shirt} \times C_{seed,wearer} \\ = 1M \times \$50 \\ = \$50M \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Shirt Seed Program Total Cost

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Shirt Seed Wearers Threshold (of people) 0.6454 Strong driver
Shirt Seed Cost per Wearer (USD) 0.5351 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Shirt Seed Program Total Cost (10,000 simulations)

Monte Carlo Distribution: Shirt Seed Program Total Cost (10,000 simulations)

Simulation Results Summary: Shirt Seed Program Total Cost

Statistic Value
Baseline (deterministic) $50 million
Mean (expected value) $47.2 million
Median (50th percentile) $23.3 million
Standard Deviation $73.7 million
90% Range (5th-95th percentile) [$3.19 million, $168 million]

The histogram shows the distribution of Shirt Seed Program Total Cost across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Shirt Seed Program Total Cost

Probability of Exceeding Threshold: Shirt Seed Program Total Cost

This exceedance probability chart shows the likelihood that Shirt Seed Program Total Cost will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Shirt Value per Wearer: $10.6 million

Treaty-trajectory economic value per shirt-wearing human: total treaty value (DFDA trial capacity plus efficacy lag elimination) divided by the 8B-human target wearer base. This is the headline framing for the foundation pitch: each marginal wearer carries this much unrealized treaty value. Computationally identical to CORPORATE_DAMAGES_FORWARD_SETTLEMENT_VALUE_PER_CAPITA under a different semantic frame.

Inputs:

\[ \begin{gathered} V_{wearer} \\ = \frac{Value_{max}}{Pop_{global}} \\ = \frac{\$84800T}{8B} \\ = \$10.6M \end{gathered} \] where: \[ \begin{gathered} Value_{max} \\ = DALYs_{max} \times Value_{QALY} \\ = 565B \times \$150K \\ = \$84800T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Shirt Value per Wearer

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (USD) 0.9996 Strong driver
Global Population in 2024 (of people) -0.0289 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Shirt Value per Wearer (10,000 simulations)

Monte Carlo Distribution: Shirt Value per Wearer (10,000 simulations)

Simulation Results Summary: Shirt Value per Wearer

Statistic Value
Baseline (deterministic) $10.6 million
Mean (expected value) $11.9 million
Median (50th percentile) $11 million
Standard Deviation $5.03 million
90% Range (5th-95th percentile) [$5.36 million, $21.4 million]

The histogram shows the distribution of Shirt Value per Wearer across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Shirt Value per Wearer

Probability of Exceeding Threshold: Shirt Value per Wearer

This exceedance probability chart shows the likelihood that Shirt Value per Wearer will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Status Quo Average Years to First Treatment: 222 years

Average years until first treatment discovered for a typical disease under current system. At current discovery rates, the average disease waits half the total exploration time (~443/2 = ~222 years).

Inputs:

\[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] Methodology:169

? Low confidence

Sensitivity Analysis

Sensitivity Indices for Status Quo Average Years to First Treatment

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Status Quo Therapeutic Space Exploration Time (years) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Status Quo Average Years to First Treatment (10,000 simulations)

Monte Carlo Distribution: Status Quo Average Years to First Treatment (10,000 simulations)

Simulation Results Summary: Status Quo Average Years to First Treatment

Statistic Value
Baseline (deterministic) 222
Mean (expected value) 251
Median (50th percentile) 238
Standard Deviation 88.8
90% Range (5th-95th percentile) [128, 420]

The histogram shows the distribution of Status Quo Average Years to First Treatment across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Status Quo Average Years to First Treatment

Probability of Exceeding Threshold: Status Quo Average Years to First Treatment

This exceedance probability chart shows the likelihood that Status Quo Average Years to First Treatment will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Status Quo Therapeutic Space Exploration Time: 443 years

Years to explore the entire therapeutic search space under current system. At current discovery rate of ~15 diseases/year getting first treatments, finding treatments for all ~6,650 untreated diseases would take ~443 years.

Inputs:

\[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] Methodology:169

? Low confidence

Sensitivity Analysis

Sensitivity Indices for Status Quo Therapeutic Space Exploration Time

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Diseases Getting First Treatment Per Year (diseases/year) -0.8696 Strong driver
Diseases Without Effective Treatment (diseases) 0.3427 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Status Quo Therapeutic Space Exploration Time (10,000 simulations)

Monte Carlo Distribution: Status Quo Therapeutic Space Exploration Time (10,000 simulations)

Simulation Results Summary: Status Quo Therapeutic Space Exploration Time

Statistic Value
Baseline (deterministic) 443
Mean (expected value) 502
Median (50th percentile) 475
Standard Deviation 178
90% Range (5th-95th percentile) [255, 841]

The histogram shows the distribution of Status Quo Therapeutic Space Exploration Time across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Status Quo Therapeutic Space Exploration Time

Probability of Exceeding Threshold: Status Quo Therapeutic Space Exploration Time

This exceedance probability chart shows the likelihood that Status Quo Therapeutic Space Exploration Time will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Thalidomide DALYs Per Event: 41,760 DALYs

Total DALYs per US-scale thalidomide event (YLL + YLD)

Inputs:

\[ \begin{gathered} DALY_{thal} \\ = YLD_{thal} + YLL_{thal} \\ = 13{,}000 + 28{,}800 \\ = 41{,}800 \end{gathered} \] where: \[ \begin{gathered} YLD_{thal} \\ = DW_{thal} \times N_{thal,survive} \times LE_{thal} \\ = 0.4 \times 540 \times 60 \\ = 13{,}000 \end{gathered} \] where: \[ \begin{gathered} N_{thal,survive} \\ = N_{thal,US,prevent} \times (1 - Rate_{thal,mort}) \\ = 900 \times (1 - 40\%) \\ = 540 \end{gathered} \] where: \[ \begin{gathered} N_{thal,US,prevent} \\ = N_{thal,global} \times Pct_{US,1960} \\ = 15{,}000 \times 6\% \\ = 900 \end{gathered} \] where: \[ \begin{gathered} YLL_{thal} \\ = Deaths_{thal} \times 80 \\ = 360 \times 80 \\ = 28{,}800 \end{gathered} \] where: \[ \begin{gathered} Deaths_{thal} \\ = Rate_{thal,mort} \times N_{thal,US,prevent} \\ = 40\% \times 900 \\ = 360 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Thalidomide DALYs Per Event

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Thalidomide YLL Per Event (years) 0.7035 Strong driver
Thalidomide YLD Per Event (years) 0.3838 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Thalidomide DALYs Per Event (10,000 simulations)

Monte Carlo Distribution: Thalidomide DALYs Per Event (10,000 simulations)

Simulation Results Summary: Thalidomide DALYs Per Event

Statistic Value
Baseline (deterministic) 41,760
Mean (expected value) 41,590
Median (50th percentile) 41,110
Standard Deviation 7,233
90% Range (5th-95th percentile) [30,379, 54,467]

The histogram shows the distribution of Thalidomide DALYs Per Event across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Thalidomide DALYs Per Event

Probability of Exceeding Threshold: Thalidomide DALYs Per Event

This exceedance probability chart shows the likelihood that Thalidomide DALYs Per Event will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Thalidomide Deaths Per Event: 360 deaths

Deaths per US-scale thalidomide event

Inputs:

\[ \begin{gathered} Deaths_{thal} \\ = Rate_{thal,mort} \times N_{thal,US,prevent} \\ = 40\% \times 900 \\ = 360 \end{gathered} \] where: \[ \begin{gathered} N_{thal,US,prevent} \\ = N_{thal,global} \times Pct_{US,1960} \\ = 15{,}000 \times 6\% \\ = 900 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Thalidomide Deaths Per Event

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Thalidomide US Cases Prevented (cases) 0.9385 Strong driver
Thalidomide Mortality Rate (percentage) 0.3437 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Thalidomide Deaths Per Event (10,000 simulations)

Monte Carlo Distribution: Thalidomide Deaths Per Event (10,000 simulations)

Simulation Results Summary: Thalidomide Deaths Per Event

Statistic Value
Baseline (deterministic) 360
Mean (expected value) 359
Median (50th percentile) 353
Standard Deviation 63.6
90% Range (5th-95th percentile) [261, 472]

The histogram shows the distribution of Thalidomide Deaths Per Event across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Thalidomide Deaths Per Event

Probability of Exceeding Threshold: Thalidomide Deaths Per Event

This exceedance probability chart shows the likelihood that Thalidomide Deaths Per Event will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Thalidomide Survivors Per Event: 540 cases

Survivors per US-scale thalidomide event

Inputs:

\[ \begin{gathered} N_{thal,survive} \\ = N_{thal,US,prevent} \times (1 - Rate_{thal,mort}) \\ = 900 \times (1 - 40\%) \\ = 540 \end{gathered} \] where: \[ \begin{gathered} N_{thal,US,prevent} \\ = N_{thal,global} \times Pct_{US,1960} \\ = 15{,}000 \times 6\% \\ = 900 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Thalidomide Survivors Per Event

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Thalidomide US Cases Prevented (cases) 0.9700 Strong driver
Thalidomide Mortality Rate (percentage) -0.2364 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Thalidomide Survivors Per Event (10,000 simulations)

Monte Carlo Distribution: Thalidomide Survivors Per Event (10,000 simulations)

Simulation Results Summary: Thalidomide Survivors Per Event

Statistic Value
Baseline (deterministic) 540
Mean (expected value) 538
Median (50th percentile) 531
Standard Deviation 92.5
90% Range (5th-95th percentile) [396, 704]

The histogram shows the distribution of Thalidomide Survivors Per Event across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Thalidomide Survivors Per Event

Probability of Exceeding Threshold: Thalidomide Survivors Per Event

This exceedance probability chart shows the likelihood that Thalidomide Survivors Per Event will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Thalidomide US Cases Prevented: 900 cases

Estimated US thalidomide cases prevented by FDA rejection

Inputs:

\[ \begin{gathered} N_{thal,US,prevent} \\ = N_{thal,global} \times Pct_{US,1960} \\ = 15{,}000 \times 6\% \\ = 900 \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Thalidomide US Cases Prevented

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Thalidomide Cases Worldwide (cases) 0.9707 Strong driver
US Population Share 1960 (percentage) 0.2437 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Thalidomide US Cases Prevented (10,000 simulations)

Monte Carlo Distribution: Thalidomide US Cases Prevented (10,000 simulations)

Simulation Results Summary: Thalidomide US Cases Prevented

Statistic Value
Baseline (deterministic) 900
Mean (expected value) 897
Median (50th percentile) 886
Standard Deviation 149
90% Range (5th-95th percentile) [666, 1,166]

The histogram shows the distribution of Thalidomide US Cases Prevented across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Thalidomide US Cases Prevented

Probability of Exceeding Threshold: Thalidomide US Cases Prevented

This exceedance probability chart shows the likelihood that Thalidomide US Cases Prevented will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Thalidomide YLD Per Event: 12,960 years

Years Lived with Disability per thalidomide event

Inputs:

\[ \begin{gathered} YLD_{thal} \\ = DW_{thal} \times N_{thal,survive} \times LE_{thal} \\ = 0.4 \times 540 \times 60 \\ = 13{,}000 \end{gathered} \] where: \[ \begin{gathered} N_{thal,survive} \\ = N_{thal,US,prevent} \times (1 - Rate_{thal,mort}) \\ = 900 \times (1 - 40\%) \\ = 540 \end{gathered} \] where: \[ \begin{gathered} N_{thal,US,prevent} \\ = N_{thal,global} \times Pct_{US,1960} \\ = 15{,}000 \times 6\% \\ = 900 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Thalidomide YLD Per Event

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Thalidomide Survivors Per Event (cases) 0.7990 Strong driver
Thalidomide Disability Weight (ratio) 0.4526 Moderate driver
Thalidomide Survivor Lifespan (years) 0.3747 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Thalidomide YLD Per Event (10,000 simulations)

Monte Carlo Distribution: Thalidomide YLD Per Event (10,000 simulations)

Simulation Results Summary: Thalidomide YLD Per Event

Statistic Value
Baseline (deterministic) 12,960
Mean (expected value) 12,907
Median (50th percentile) 12,644
Standard Deviation 2,776
90% Range (5th-95th percentile) [8,780, 17,931]

The histogram shows the distribution of Thalidomide YLD Per Event across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Thalidomide YLD Per Event

Probability of Exceeding Threshold: Thalidomide YLD Per Event

This exceedance probability chart shows the likelihood that Thalidomide YLD Per Event will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Thalidomide YLL Per Event: 28,800 years

Years of Life Lost per thalidomide event (infant deaths)

Inputs:

\[ \begin{gathered} YLL_{thal} \\ = Deaths_{thal} \times 80 \\ = 360 \times 80 \\ = 28{,}800 \end{gathered} \] where: \[ \begin{gathered} Deaths_{thal} \\ = Rate_{thal,mort} \times N_{thal,US,prevent} \\ = 40\% \times 900 \\ = 360 \end{gathered} \] where: \[ \begin{gathered} N_{thal,US,prevent} \\ = N_{thal,global} \times Pct_{US,1960} \\ = 15{,}000 \times 6\% \\ = 900 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Thalidomide YLL Per Event

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Thalidomide Deaths Per Event (deaths) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Thalidomide YLL Per Event (10,000 simulations)

Monte Carlo Distribution: Thalidomide YLL Per Event (10,000 simulations)

Simulation Results Summary: Thalidomide YLL Per Event

Statistic Value
Baseline (deterministic) 28,800
Mean (expected value) 28,684
Median (50th percentile) 28,274
Standard Deviation 5,088
90% Range (5th-95th percentile) [20,873, 37,748]

The histogram shows the distribution of Thalidomide YLL Per Event across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Thalidomide YLL Per Event

Probability of Exceeding Threshold: Thalidomide YLL Per Event

This exceedance probability chart shows the likelihood that Thalidomide YLL Per Event will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

3.5% Activism Benchmark: 280 million of people

Headcount implied by the 3.5% activism threshold applied to global population. This is a historical tipping-point benchmark, not the public majority-of-humanity coordination target. Wide CI reflects uncertainty in applying Chenoweth’s national threshold to global treaty adoption.

Inputs:

\[ \begin{gathered} N_{activism} \\ = Pop_{global} \times Threshold_{activism} \\ = 8B \times 3.5\% \\ = 280M \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for 3.5% Activism Benchmark

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Critical Mass Threshold for Social Change (percent) 0.9997 Strong driver
Global Population in 2024 (of people) 0.0206 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: 3.5% Activism Benchmark (10,000 simulations)

Monte Carlo Distribution: 3.5% Activism Benchmark (10,000 simulations)

Simulation Results Summary: 3.5% Activism Benchmark

Statistic Value
Baseline (deterministic) 280 million
Mean (expected value) 278 million
Median (50th percentile) 237 million
Standard Deviation 164 million
90% Range (5th-95th percentile) [88 million, 628 million]

The histogram shows the distribution of 3.5% Activism Benchmark across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: 3.5% Activism Benchmark

Probability of Exceeding Threshold: 3.5% Activism Benchmark

This exceedance probability chart shows the likelihood that 3.5% Activism Benchmark will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Funding from 1% of Global Military Spending Redirected to DIH: $27.2 billion

Annual funding from 1% of global military spending redirected to DIH

Inputs:

\[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Annual Funding from 1% of Global Military Spending Redirected to DIH is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 2.720e-02)

Statistic Value
Baseline (deterministic) $27.2 billion
Mean (expected value) $27.2 billion
Median (50th percentile) $27.2 billion
Standard Deviation $0
90% Range (5th-95th percentile) [$27.2 billion, $27.2 billion]

Exceedance Probability

Exceedance note: Annual Funding from 1% of Global Military Spending Redirected to DIH collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 2.720e-02)

Approximate deterministic value: $27.2 billion

Treaty System Benefit Multiplier vs Childhood Vaccination Programs: 11.5x

Treaty system benefit multiplier vs childhood vaccination programs

Inputs:

\[ \begin{gathered} k_{treaty:vax} \\ = \frac{Benefit_{peace+RD}}{Benefit_{vax,ann}} \\ = \frac{\$172B}{\$15B} \\ = 11.5 \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace+RD} \\ = Benefit_{peace,soc} + Benefit_{RD,ann} \\ = \$114B + \$58.6B \\ = \$172B \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} Benefit_{RD,ann} \\ = Spending_{trials} \times Reduce_{pct} \\ = \$60B \times 97.7\% \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Reduce_{pct} \\ = 1 - \frac{Cost_{pragmatic,pt}}{Cost_{P3,pt}} \\ = 1 - \frac{\$929}{\$41K} \\ = 97.7\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty System Benefit Multiplier vs Childhood Vaccination Programs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Estimated Annual Global Economic Benefit from Childhood Vaccination Programs (USD/year) -0.8963 Strong driver
1% treaty Basic Annual Benefits (Peace + R&D Savings) (USD/year) 0.2247 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty System Benefit Multiplier vs Childhood Vaccination Programs (10,000 simulations)

Monte Carlo Distribution: Treaty System Benefit Multiplier vs Childhood Vaccination Programs (10,000 simulations)

Simulation Results Summary: Treaty System Benefit Multiplier vs Childhood Vaccination Programs

Statistic Value
Baseline (deterministic) 11.5x
Mean (expected value) 12.5x
Median (50th percentile) 11.9x
Standard Deviation 3.81x
90% Range (5th-95th percentile) [7.31x, 19.4x]

The histogram shows the distribution of Treaty System Benefit Multiplier vs Childhood Vaccination Programs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty System Benefit Multiplier vs Childhood Vaccination Programs

Probability of Exceeding Threshold: Treaty System Benefit Multiplier vs Childhood Vaccination Programs

This exceedance probability chart shows the likelihood that Treaty System Benefit Multiplier vs Childhood Vaccination Programs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Amortized Annual Treaty Campaign Cost: $250 million

Amortized annual campaign cost (total cost ÷ campaign duration)

Inputs:

\[ \begin{gathered} Cost_{camp,amort} \\ = \frac{Cost_{campaign}}{T_{campaign}} \\ = \frac{\$1B}{4} \\ = \$250M \end{gathered} \] where: \[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Amortized Annual Treaty Campaign Cost

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total 1% Treaty Campaign Cost (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Amortized Annual Treaty Campaign Cost (10,000 simulations)

Monte Carlo Distribution: Amortized Annual Treaty Campaign Cost (10,000 simulations)

Simulation Results Summary: Amortized Annual Treaty Campaign Cost

Statistic Value
Baseline (deterministic) $250 million
Mean (expected value) $250 million
Median (50th percentile) $239 million
Standard Deviation $62.8 million
90% Range (5th-95th percentile) [$168 million, $369 million]

The histogram shows the distribution of Amortized Annual Treaty Campaign Cost across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Amortized Annual Treaty Campaign Cost

Probability of Exceeding Threshold: Amortized Annual Treaty Campaign Cost

This exceedance probability chart shows the likelihood that Amortized Annual Treaty Campaign Cost will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total 1% Treaty Campaign Cost: $1 billion

Total treaty campaign cost (100% VICTORY Incentive Alignment Bonds)

Inputs:

\[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total 1% Treaty Campaign Cost

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Political Lobbying Campaign: Direct Lobbying, Super Pacs, Opposition Research, Staff, Legal/Compliance (USD) 0.9915 Strong driver
Reserve Fund / Contingency Buffer (USD) 0.1132 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total 1% Treaty Campaign Cost (10,000 simulations)

Monte Carlo Distribution: Total 1% Treaty Campaign Cost (10,000 simulations)

Simulation Results Summary: Total 1% Treaty Campaign Cost

Statistic Value
Baseline (deterministic) $1 billion
Mean (expected value) $999 million
Median (50th percentile) $956 million
Standard Deviation $251 million
90% Range (5th-95th percentile) [$672 million, $1.48 billion]

The histogram shows the distribution of Total 1% Treaty Campaign Cost across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total 1% Treaty Campaign Cost

Probability of Exceeding Threshold: Total 1% Treaty Campaign Cost

This exceedance probability chart shows the likelihood that Total 1% Treaty Campaign Cost will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput): $0.00177

Cost per DALY averted from elimination of efficacy lag plus earlier treatment discovery from increased trial throughput. Only counts campaign cost; ignores economic benefits from funding and R&D savings.

Inputs:

\[ \begin{gathered} Cost_{treaty,DALY} \\ = \frac{Cost_{campaign}}{DALYs_{max}} \\ = \frac{\$1B}{565B} \\ = \$0.00177 \end{gathered} \] where: \[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total DALYs from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (DALYs) -0.7291 Strong driver
Total 1% Treaty Campaign Cost (USD) 0.5109 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput) (10,000 simulations)

Monte Carlo Distribution: Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput) (10,000 simulations)

Simulation Results Summary: Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput)

Statistic Value
Baseline (deterministic) $0.00177
Mean (expected value) $0.00182
Median (50th percentile) $0.00162
Standard Deviation $0.000903
90% Range (5th-95th percentile) [$0.000809, $0.00354]

The histogram shows the distribution of Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput)

Probability of Exceeding Threshold: Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput)

This exceedance probability chart shows the likelihood that Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Cumulative Treaty Funding over 20 Years with IAB Ratchet Expansion: $3.16 trillion

Cumulative treaty funding over 20 years with IAB ratchet expansion following roadmap timeline. Expansion driven by bondholder lobbying incentives (10% of treaty inflows).

Inputs:

\[ \begin{gathered} Fund_{20yr,ratchet} \\ = \text{GLOBAL\_MILITARY} \times (0.01 \times 3 \\ + \min\left(0.02, s_{ratchet}\right) \times 4 \\ + \min\left(0.05, s_{ratchet}\right) \times 5 \\ + s_{ratchet} \times 8) \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Cumulative Treaty Funding over 20 Years with IAB Ratchet Expansion

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Ratchet Terminal Redirect Share (percent) 0.9946 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Cumulative Treaty Funding over 20 Years with IAB Ratchet Expansion (10,000 simulations)

Monte Carlo Distribution: Cumulative Treaty Funding over 20 Years with IAB Ratchet Expansion (10,000 simulations)

Simulation Results Summary: Cumulative Treaty Funding over 20 Years with IAB Ratchet Expansion

Statistic Value
Baseline (deterministic) $3.16 trillion
Mean (expected value) $3.13 trillion
Median (50th percentile) $3.16 trillion
Standard Deviation $1.04 trillion
90% Range (5th-95th percentile) [$1.19 trillion, $4.81 trillion]

The histogram shows the distribution of Cumulative Treaty Funding over 20 Years with IAB Ratchet Expansion across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Cumulative Treaty Funding over 20 Years with IAB Ratchet Expansion

Probability of Exceeding Threshold: Cumulative Treaty Funding over 20 Years with IAB Ratchet Expansion

This exceedance probability chart shows the likelihood that Cumulative Treaty Funding over 20 Years with IAB Ratchet Expansion will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Cybercrime Recovery GDP Growth Bonus (Year 15): 0.402%

Annual GDP growth bonus by year 15 from reducing cybercrime drag as the treaty weakens the destructive economy feedback loop.

Inputs:

\[ \begin{gathered} g_{cyber,treaty,15} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,15} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,15} \\ = s_{ratchet} \times 0.212 \\ = 10\% \times 0.212 \\ = 4.4\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Cybercrime Recovery GDP Growth Bonus (Year 15)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Effective Reallocation Share (Year 15) (rate) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Cybercrime Recovery GDP Growth Bonus (Year 15) (10,000 simulations)

Monte Carlo Distribution: Treaty Cybercrime Recovery GDP Growth Bonus (Year 15) (10,000 simulations)

Simulation Results Summary: Treaty Cybercrime Recovery GDP Growth Bonus (Year 15)

Statistic Value
Baseline (deterministic) 0.402%
Mean (expected value) 0.394%
Median (50th percentile) 0.402%
Standard Deviation 0.101%
90% Range (5th-95th percentile) [0.189%, 0.541%]

The histogram shows the distribution of Treaty Cybercrime Recovery GDP Growth Bonus (Year 15) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Cybercrime Recovery GDP Growth Bonus (Year 15)

Probability of Exceeding Threshold: Treaty Cybercrime Recovery GDP Growth Bonus (Year 15)

This exceedance probability chart shows the likelihood that Treaty Cybercrime Recovery GDP Growth Bonus (Year 15) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Cybercrime Recovery GDP Growth Bonus (Year 20): 0.53%

Annual GDP growth bonus by year 20 from reducing cybercrime drag as the treaty weakens the destructive economy feedback loop.

Inputs:

\[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Cybercrime Recovery GDP Growth Bonus (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Effective Reallocation Share (Year 20) (rate) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Cybercrime Recovery GDP Growth Bonus (Year 20) (10,000 simulations)

Monte Carlo Distribution: Treaty Cybercrime Recovery GDP Growth Bonus (Year 20) (10,000 simulations)

Simulation Results Summary: Treaty Cybercrime Recovery GDP Growth Bonus (Year 20)

Statistic Value
Baseline (deterministic) 0.53%
Mean (expected value) 0.525%
Median (50th percentile) 0.531%
Standard Deviation 0.175%
90% Range (5th-95th percentile) [0.199%, 0.808%]

The histogram shows the distribution of Treaty Cybercrime Recovery GDP Growth Bonus (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Cybercrime Recovery GDP Growth Bonus (Year 20)

Probability of Exceeding Threshold: Treaty Cybercrime Recovery GDP Growth Bonus (Year 20)

This exceedance probability chart shows the likelihood that Treaty Cybercrime Recovery GDP Growth Bonus (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Disease Cure Fraction (15yr, Ratchet Schedule): 100%

Fraction of currently untreatable diseases with a first effective treatment by year 15 under the treaty: queue progress integrated over the ratchet schedule, with trial capacity scaling linearly with funding up to the physical participant ceiling. Binds the single ratchet knob: at TREATY_RATCHET_TERMINAL_SHARE = 0.01 (ratchet off) this degrades to 15/36 of the queue (~42%); on the central schedule the queue clears around year 12, so the central is 100%. The ~36-year queue-clearance figure quoted elsewhere is the flat-1% case by construction.

Inputs:

\[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Disease Cure Fraction (15yr, Ratchet Schedule)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Ratchet Terminal Redirect Share (percent) 0.3304 Moderate driver
Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding (x) 0.3187 Moderate driver
Status Quo Therapeutic Space Exploration Time (years) -0.2646 Weak driver
Maximum Trial Capacity Multiplier (Physical Limit) (x) 0.0268 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Disease Cure Fraction (15yr, Ratchet Schedule) (10,000 simulations)

Monte Carlo Distribution: Treaty Disease Cure Fraction (15yr, Ratchet Schedule) (10,000 simulations)

Simulation Results Summary: Treaty Disease Cure Fraction (15yr, Ratchet Schedule)

Statistic Value
Baseline (deterministic) 100%
Mean (expected value) 93.3%
Median (50th percentile) 100%
Standard Deviation 16.7%
90% Range (5th-95th percentile) [49.5%, 100%]

The histogram shows the distribution of Treaty Disease Cure Fraction (15yr, Ratchet Schedule) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Disease Cure Fraction (15yr, Ratchet Schedule)

Probability of Exceeding Threshold: Treaty Disease Cure Fraction (15yr, Ratchet Schedule)

This exceedance probability chart shows the likelihood that Treaty Disease Cure Fraction (15yr, Ratchet Schedule) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Disease Cure Fraction (20yr, Ratchet Schedule): 100%

Fraction of currently untreatable diseases with a first effective treatment by year 20 under the treaty: queue progress integrated over the ratchet schedule, with trial capacity scaling linearly with funding up to the physical participant ceiling. Binds the single ratchet knob: at TREATY_RATCHET_TERMINAL_SHARE = 0.01 (ratchet off) this degrades to 20/36 of the queue (~56%); on the central schedule the queue clears around year 12, so the central is 100%. The ~36-year queue-clearance figure quoted elsewhere is the flat-1% case by construction.

Inputs:

\[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Disease Cure Fraction (20yr, Ratchet Schedule)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Ratchet Terminal Redirect Share (percent) 0.3450 Moderate driver
Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding (x) 0.1896 Weak driver
Status Quo Therapeutic Space Exploration Time (years) -0.1628 Weak driver
Maximum Trial Capacity Multiplier (Physical Limit) (x) 0.0196 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Disease Cure Fraction (20yr, Ratchet Schedule) (10,000 simulations)

Monte Carlo Distribution: Treaty Disease Cure Fraction (20yr, Ratchet Schedule) (10,000 simulations)

Simulation Results Summary: Treaty Disease Cure Fraction (20yr, Ratchet Schedule)

Statistic Value
Baseline (deterministic) 100%
Mean (expected value) 97.4%
Median (50th percentile) 100%
Standard Deviation 11%
90% Range (5th-95th percentile) [78.3%, 100%]

The histogram shows the distribution of Treaty Disease Cure Fraction (20yr, Ratchet Schedule) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Disease Cure Fraction (20yr, Ratchet Schedule)

Probability of Exceeding Threshold: Treaty Disease Cure Fraction (20yr, Ratchet Schedule)

This exceedance probability chart shows the likelihood that Treaty Disease Cure Fraction (20yr, Ratchet Schedule) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Effective Reallocation Share (Year 15): 4.4%

Average military-to-medicine reallocation share over 15 years under the treaty take-hold path (1% for 3 years, 2% for 4 years, 5% for 5 years, terminal ratchet share for 3 years). Binds the single ratchet knob: at TREATY_RATCHET_TERMINAL_SHARE = 0.01 this degrades to a flat 1%.

Inputs:

\[ \begin{gathered} \bar{s}_{treaty,15} \\ = s_{ratchet} \times 0.212 \\ = 10\% \times 0.212 \\ = 4.4\% \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Effective Reallocation Share (Year 15)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Ratchet Terminal Redirect Share (percent) 0.9707 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Effective Reallocation Share (Year 15) (10,000 simulations)

Monte Carlo Distribution: Treaty Effective Reallocation Share (Year 15) (10,000 simulations)

Simulation Results Summary: Treaty Effective Reallocation Share (Year 15)

Statistic Value
Baseline (deterministic) 4.4%
Mean (expected value) 4.31%
Median (50th percentile) 4.41%
Standard Deviation 1.1%
90% Range (5th-95th percentile) [2.07%, 5.92%]

The histogram shows the distribution of Treaty Effective Reallocation Share (Year 15) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Effective Reallocation Share (Year 15)

Probability of Exceeding Threshold: Treaty Effective Reallocation Share (Year 15)

This exceedance probability chart shows the likelihood that Treaty Effective Reallocation Share (Year 15) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Effective Reallocation Share (Year 20): 5.8%

Average military-to-medicine reallocation share over 20 years under the treaty take-hold path (1% for 3 years, 2% for 4 years, 5% for 5 years, terminal ratchet share for 8 years). Binds the single ratchet knob: at TREATY_RATCHET_TERMINAL_SHARE = 0.01 this degrades to a flat 1%.

Inputs:

\[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Effective Reallocation Share (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Ratchet Terminal Redirect Share (percent) 0.9946 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Effective Reallocation Share (Year 20) (10,000 simulations)

Monte Carlo Distribution: Treaty Effective Reallocation Share (Year 20) (10,000 simulations)

Simulation Results Summary: Treaty Effective Reallocation Share (Year 20)

Statistic Value
Baseline (deterministic) 5.8%
Mean (expected value) 5.75%
Median (50th percentile) 5.81%
Standard Deviation 1.92%
90% Range (5th-95th percentile) [2.18%, 8.85%]

The histogram shows the distribution of Treaty Effective Reallocation Share (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Effective Reallocation Share (Year 20)

Probability of Exceeding Threshold: Treaty Effective Reallocation Share (Year 20)

This exceedance probability chart shows the likelihood that Treaty Effective Reallocation Share (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Expected Cost per DALY (Risk-Adjusted): $0.177

Expected cost per DALY accounting for political success probability uncertainty. Monte Carlo samples from beta(0.1%, 10%) distribution. At the conservative 1% estimate, this is still more cost-effective than bed nets ($89.0/DALY).

Inputs:

\[ \begin{gathered} E[Cost_{DALY}] \\ = \frac{Cost_{treaty,DALY}}{P_{success}} \\ = \frac{\$0.00177}{1\%} \\ = \$0.177 \end{gathered} \] where: \[ \begin{gathered} Cost_{treaty,DALY} \\ = \frac{Cost_{campaign}}{DALYs_{max}} \\ = \frac{\$1B}{565B} \\ = \$0.00177 \end{gathered} \] where: \[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Expected Cost per DALY (Risk-Adjusted)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput) (USD/DALY) 0.5242 Strong driver
Political Success Probability (rate) -0.4688 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Expected Cost per DALY (Risk-Adjusted) (10,000 simulations)

Monte Carlo Distribution: Expected Cost per DALY (Risk-Adjusted) (10,000 simulations)

Simulation Results Summary: Expected Cost per DALY (Risk-Adjusted)

Statistic Value
Baseline (deterministic) $0.177
Mean (expected value) $1.05
Median (50th percentile) $0.864
Standard Deviation $1.01
90% Range (5th-95th percentile) [$0.03, $2.92]

The histogram shows the distribution of Expected Cost per DALY (Risk-Adjusted) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Expected Cost per DALY (Risk-Adjusted)

Probability of Exceeding Threshold: Expected Cost per DALY (Risk-Adjusted)

This exceedance probability chart shows the likelihood that Expected Cost per DALY (Risk-Adjusted) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Expected Treaty ROI (Risk-Adjusted): 848 thousand:1

Expected ROI for 1% treaty accounting for political success probability uncertainty. Monte Carlo samples POLITICAL_SUCCESS_PROBABILITY from beta(0.1%, 10%) distribution to generate full expected value distribution. Central value uses 1% probability.

Inputs:

\[ \begin{gathered} E[ROI_{max}] \\ = ROI_{max} \times P_{success} \\ = 84.8M \times 1\% \\ = 848{,}000 \end{gathered} \] where: \[ \begin{gathered} ROI_{max} \\ = \frac{Value_{max}}{Cost_{campaign}} \\ = \frac{\$84800T}{\$1B} \\ = 84.8M \end{gathered} \] where: \[ \begin{gathered} Value_{max} \\ = DALYs_{max} \times Value_{QALY} \\ = 565B \times \$150K \\ = \$84800T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \] Methodology: Direct Calculation

? Low confidence

Sensitivity Analysis

Sensitivity Indices for Expected Treaty ROI (Risk-Adjusted)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Political Success Probability (rate) 0.8674 Strong driver
Treaty ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput (ratio) 0.2450 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Expected Treaty ROI (Risk-Adjusted) (10,000 simulations)

Monte Carlo Distribution: Expected Treaty ROI (Risk-Adjusted) (10,000 simulations)

Simulation Results Summary: Expected Treaty ROI (Risk-Adjusted)

Statistic Value
Baseline (deterministic) 848 thousand:1
Mean (expected value) 1.01 million:1
Median (50th percentile) 175 thousand:1
Standard Deviation 2.1 million:1
90% Range (5th-95th percentile) [47.8 thousand:1, 4.95 million:1]

The histogram shows the distribution of Expected Treaty ROI (Risk-Adjusted) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Expected Treaty ROI (Risk-Adjusted)

Probability of Exceeding Threshold: Expected Treaty ROI (Risk-Adjusted)

This exceedance probability chart shows the likelihood that Expected Treaty ROI (Risk-Adjusted) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Expected Cost-Effectiveness vs Bed Nets Multiplier: 503x

Expected value multiplier vs bed nets (accounts for political uncertainty at 1% success rate)

Inputs:

\[ \begin{gathered} E[k_{nets}] \\ = \frac{Cost_{nets}}{E[Cost_{DALY}]} \\ = \frac{\$89}{\$0.177} \\ = 503 \end{gathered} \] where: \[ \begin{gathered} E[Cost_{DALY}] \\ = \frac{Cost_{treaty,DALY}}{P_{success}} \\ = \frac{\$0.00177}{1\%} \\ = \$0.177 \end{gathered} \] where: \[ \begin{gathered} Cost_{treaty,DALY} \\ = \frac{Cost_{campaign}}{DALYs_{max}} \\ = \frac{\$1B}{565B} \\ = \$0.00177 \end{gathered} \] where: \[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Expected Cost-Effectiveness vs Bed Nets Multiplier

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Expected Cost per DALY (Risk-Adjusted) (USD/DALY) -0.4392 Moderate driver
Bed Nets Cost per DALY (USD/DALY) 0.0134 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Expected Cost-Effectiveness vs Bed Nets Multiplier (10,000 simulations)

Monte Carlo Distribution: Expected Cost-Effectiveness vs Bed Nets Multiplier (10,000 simulations)

Simulation Results Summary: Expected Cost-Effectiveness vs Bed Nets Multiplier

Statistic Value
Baseline (deterministic) 503x
Mean (expected value) 603x
Median (50th percentile) 103x
Standard Deviation 1.2kx
90% Range (5th-95th percentile) [30.5x, 3.0kx]

The histogram shows the distribution of Expected Cost-Effectiveness vs Bed Nets Multiplier across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Expected Cost-Effectiveness vs Bed Nets Multiplier

Probability of Exceeding Threshold: Expected Cost-Effectiveness vs Bed Nets Multiplier

This exceedance probability chart shows the likelihood that Expected Cost-Effectiveness vs Bed Nets Multiplier will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty HALE Gain at Year 15: 16.1 years

HALE improvement at year 15 under Treaty Trajectory. It includes both closing the current HALE gap from disease/disability and a conservative partial realization of longer-run longevity gains.

Inputs:

\[ \begin{gathered} \Delta HALE_{treaty,15} \\ = f_{cure,15,treaty} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{treaty,longevity,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,longevity,15} \\ = T_{extend} \times \rho_{HALE,15} \times f_{cure,15,treaty} \\ = 20 \times 30\% \times 100\% \\ = 6 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty HALE Gain at Year 15

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Longevity HALE Gain at Year 15 (years) 0.8808 Strong driver
Global Life Expectancy (2024) (years) 0.2512 Weak driver
Treaty Disease Cure Fraction (15yr, Ratchet Schedule) (rate) 0.2343 Weak driver
Global Healthy Life Expectancy (HALE) (years) -0.1978 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty HALE Gain at Year 15 (10,000 simulations)

Monte Carlo Distribution: Treaty HALE Gain at Year 15 (10,000 simulations)

Simulation Results Summary: Treaty HALE Gain at Year 15

Statistic Value
Baseline (deterministic) 16.1
Mean (expected value) 15
Median (50th percentile) 13.8
Standard Deviation 7.08
90% Range (5th-95th percentile) [6.53, 27.4]

The histogram shows the distribution of Treaty HALE Gain at Year 15 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty HALE Gain at Year 15

Probability of Exceeding Threshold: Treaty HALE Gain at Year 15

This exceedance probability chart shows the likelihood that Treaty HALE Gain at Year 15 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty HALE Value Per Capita: $2.42 million

Economic value of Treaty Trajectory HALE gains at year 15 using the standard QALY value.

Inputs:

\[ \begin{gathered} Value_{HALE,treaty} \\ = \Delta HALE_{treaty,15} \times Value_{QALY} \\ = 16.1 \times \$150K \\ = \$2.42M \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,15} \\ = f_{cure,15,treaty} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{treaty,longevity,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,longevity,15} \\ = T_{extend} \times \rho_{HALE,15} \times f_{cure,15,treaty} \\ = 20 \times 30\% \times 100\% \\ = 6 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty HALE Value Per Capita

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty HALE Gain at Year 15 (years) 0.9148 Strong driver
Standard Economic Value per QALY (USD/QALY) 0.3496 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty HALE Value Per Capita (10,000 simulations)

Monte Carlo Distribution: Treaty HALE Value Per Capita (10,000 simulations)

Simulation Results Summary: Treaty HALE Value Per Capita

Statistic Value
Baseline (deterministic) $2.42 million
Mean (expected value) $2.25 million
Median (50th percentile) $2.03 million
Standard Deviation $1.17 million
90% Range (5th-95th percentile) [$893,314, $4.33 million]

The histogram shows the distribution of Treaty HALE Value Per Capita across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty HALE Value Per Capita

Probability of Exceeding Threshold: Treaty HALE Value Per Capita

This exceedance probability chart shows the likelihood that Treaty HALE Value Per Capita will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Health Recovery GDP Growth Bonus (Year 15): 0.818%

Annualized GDP growth bonus by year 15 from lower disease burden under the treaty path. Deliberately EXCLUDES the monetized value of life-years from eliminating the existing-drug efficacy lag, matching the year-20 model and the chapter’s stated accounting rule: that value belongs in health and welfare accounting, not in the output ledger. (The previous version injected the $259T cumulative mortality-valuation stock into an annual growth rate, producing a year-15 income ABOVE the year-20 income on the same trajectory.)

Inputs:

\[ \begin{gathered} g_{health,treaty,15} \\ = \frac{f_{cure,15,treaty} - d_{disease}}{-7.22} \\ = \frac{100\% - 13\%}{-7.22} \\ = 0.818\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Health Recovery GDP Growth Bonus (Year 15)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Disease Cure Fraction (15yr, Ratchet Schedule) (rate) 0.9999 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Health Recovery GDP Growth Bonus (Year 15) (10,000 simulations)

Monte Carlo Distribution: Treaty Health Recovery GDP Growth Bonus (Year 15) (10,000 simulations)

Simulation Results Summary: Treaty Health Recovery GDP Growth Bonus (Year 15)

Statistic Value
Baseline (deterministic) 0.818%
Mean (expected value) 0.765%
Median (50th percentile) 0.818%
Standard Deviation 0.134%
90% Range (5th-95th percentile) [0.417%, 0.818%]

The histogram shows the distribution of Treaty Health Recovery GDP Growth Bonus (Year 15) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Health Recovery GDP Growth Bonus (Year 15)

Probability of Exceeding Threshold: Treaty Health Recovery GDP Growth Bonus (Year 15)

This exceedance probability chart shows the likelihood that Treaty Health Recovery GDP Growth Bonus (Year 15) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Health Recovery GDP Growth Bonus (Year 20): 0.613%

Annualized GDP growth bonus by year 20 from lower disease burden under the treaty path.

Inputs:

\[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Health Recovery GDP Growth Bonus (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Disease Cure Fraction (20yr, Ratchet Schedule) (rate) 0.9999 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Health Recovery GDP Growth Bonus (Year 20) (10,000 simulations)

Monte Carlo Distribution: Treaty Health Recovery GDP Growth Bonus (Year 20) (10,000 simulations)

Simulation Results Summary: Treaty Health Recovery GDP Growth Bonus (Year 20)

Statistic Value
Baseline (deterministic) 0.613%
Mean (expected value) 0.597%
Median (50th percentile) 0.613%
Standard Deviation 0.0656%
90% Range (5th-95th percentile) [0.486%, 0.613%]

The histogram shows the distribution of Treaty Health Recovery GDP Growth Bonus (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Health Recovery GDP Growth Bonus (Year 20)

Probability of Exceeding Threshold: Treaty Health Recovery GDP Growth Bonus (Year 20)

This exceedance probability chart shows the likelihood that Treaty Health Recovery GDP Growth Bonus (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Longevity HALE Gain at Year 15: 6 years

Additional healthy years at year 15 from partial realization of longer-run treaty longevity gains. This removes the implicit cap at today’s life expectancy while keeping year-15 realization conservative.

Inputs:

\[ \begin{gathered} \Delta HALE_{treaty,longevity,15} \\ = T_{extend} \times \rho_{HALE,15} \times f_{cure,15,treaty} \\ = 20 \times 30\% \times 100\% \\ = 6 \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Longevity HALE Gain at Year 15

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Life Extension from Treaty Research Acceleration (years) 0.9714 Strong driver
Treaty Disease Cure Fraction (15yr, Ratchet Schedule) (rate) 0.1630 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Longevity HALE Gain at Year 15 (10,000 simulations)

Monte Carlo Distribution: Treaty Longevity HALE Gain at Year 15 (10,000 simulations)

Simulation Results Summary: Treaty Longevity HALE Gain at Year 15

Statistic Value
Baseline (deterministic) 6
Mean (expected value) 5.53
Median (50th percentile) 3.54
Standard Deviation 6.24
90% Range (5th-95th percentile) [0.683, 17.3]

The histogram shows the distribution of Treaty Longevity HALE Gain at Year 15 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Longevity HALE Gain at Year 15

Probability of Exceeding Threshold: Treaty Longevity HALE Gain at Year 15

This exceedance probability chart shows the likelihood that Treaty Longevity HALE Gain at Year 15 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

1% treaty Basic Annual Benefits (Peace + R&D Savings): $172 billion

Basic annual benefits: peace dividend + pragmatic trial R&D savings only (2 of 8 benefit categories, excludes regulatory delay value)

Inputs:

\[ \begin{gathered} Benefit_{peace+RD} \\ = Benefit_{peace,soc} + Benefit_{RD,ann} \\ = \$114B + \$58.6B \\ = \$172B \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} Benefit_{RD,ann} \\ = Spending_{trials} \times Reduce_{pct} \\ = \$60B \times 97.7\% \\ = \$58.6B \end{gathered} \] where: \[ \begin{gathered} Reduce_{pct} \\ = 1 - \frac{Cost_{pragmatic,pt}}{Cost_{P3,pt}} \\ = 1 - \frac{\$929}{\$41K} \\ = 97.7\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for 1% treaty Basic Annual Benefits (Peace + R&D Savings)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Peace Dividend from 1% Reduction in Total War Costs (USD/year) 0.7387 Strong driver
Annual R&D Savings from Pragmatic Trials (USD/year) 0.6712 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: 1% treaty Basic Annual Benefits (Peace + R&D Savings) (10,000 simulations)

Monte Carlo Distribution: 1% treaty Basic Annual Benefits (Peace + R&D Savings) (10,000 simulations)

Simulation Results Summary: 1% treaty Basic Annual Benefits (Peace + R&D Savings)

Statistic Value
Baseline (deterministic) $172 billion
Mean (expected value) $172 billion
Median (50th percentile) $171 billion
Standard Deviation $11.9 billion
90% Range (5th-95th percentile) [$153 billion, $192 billion]

The histogram shows the distribution of 1% treaty Basic Annual Benefits (Peace + R&D Savings) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: 1% treaty Basic Annual Benefits (Peace + R&D Savings)

Probability of Exceeding Threshold: 1% treaty Basic Annual Benefits (Peace + R&D Savings)

This exceedance probability chart shows the likelihood that 1% treaty Basic Annual Benefits (Peace + R&D Savings) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Peace Recovery GDP Growth Bonus (Year 15): 0.435%

Annual GDP growth bonus by year 15 from explicit avoided war-cost drag under the treaty take-hold path.

Inputs:

\[ \begin{gathered} g_{peace,treaty,15} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,15}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,15} \\ = s_{ratchet} \times 0.212 \\ = 10\% \times 0.212 \\ = 4.4\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Peace Recovery GDP Growth Bonus (Year 15)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Effective Reallocation Share (Year 15) (rate) 0.9545 Strong driver
Annual Peace Dividend from 1% Reduction in Total War Costs (USD/year) 0.2909 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Peace Recovery GDP Growth Bonus (Year 15) (10,000 simulations)

Monte Carlo Distribution: Treaty Peace Recovery GDP Growth Bonus (Year 15) (10,000 simulations)

Simulation Results Summary: Treaty Peace Recovery GDP Growth Bonus (Year 15)

Statistic Value
Baseline (deterministic) 0.435%
Mean (expected value) 0.424%
Median (50th percentile) 0.431%
Standard Deviation 0.114%
90% Range (5th-95th percentile) [0.2%, 0.592%]

The histogram shows the distribution of Treaty Peace Recovery GDP Growth Bonus (Year 15) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Peace Recovery GDP Growth Bonus (Year 15)

Probability of Exceeding Threshold: Treaty Peace Recovery GDP Growth Bonus (Year 15)

This exceedance probability chart shows the likelihood that Treaty Peace Recovery GDP Growth Bonus (Year 15) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Peace Recovery GDP Growth Bonus (Year 20): 0.573%

Annual GDP growth bonus by year 20 from explicit avoided war-cost drag under the treaty take-hold path.

Inputs:

\[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Peace Recovery GDP Growth Bonus (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Effective Reallocation Share (Year 20) (rate) 0.9717 Strong driver
Annual Peace Dividend from 1% Reduction in Total War Costs (USD/year) 0.2271 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Peace Recovery GDP Growth Bonus (Year 20) (10,000 simulations)

Monte Carlo Distribution: Treaty Peace Recovery GDP Growth Bonus (Year 20) (10,000 simulations)

Simulation Results Summary: Treaty Peace Recovery GDP Growth Bonus (Year 20)

Statistic Value
Baseline (deterministic) 0.573%
Mean (expected value) 0.566%
Median (50th percentile) 0.569%
Standard Deviation 0.194%
90% Range (5th-95th percentile) [0.211%, 0.877%]

The histogram shows the distribution of Treaty Peace Recovery GDP Growth Bonus (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Peace Recovery GDP Growth Bonus (Year 20)

Probability of Exceeding Threshold: Treaty Peace Recovery GDP Growth Bonus (Year 20)

This exceedance probability chart shows the likelihood that Treaty Peace Recovery GDP Growth Bonus (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Personal Upside (Blended): $2.93 million

Blended personal upside under Treaty Trajectory: lifetime income gain plus valued healthy-life gains.

Inputs:

\[ \begin{gathered} Upside_{blend,treaty} \\ = \Delta Y_{lifetime,treaty} + Value_{HALE,treaty} \\ = \$519K + \$2.42M \\ = \$2.93M \end{gathered} \] where: \[ \begin{gathered} \Delta Y_{lifetime,treaty} \\ = Y_{cum,treaty} - Y_{cum,earth} \\ = \$1.42M - \$904K \\ = \$519K \end{gathered} \] where: \[ \begin{gathered} Y_{cum,treaty} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,treaty})((1+g_{pc,treaty})^{20}-1)}{g_{pc,treaty}} \\ + \bar{y}_{treaty,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} Value_{HALE,treaty} \\ = \Delta HALE_{treaty,15} \times Value_{QALY} \\ = 16.1 \times \$150K \\ = \$2.42M \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,15} \\ = f_{cure,15,treaty} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{treaty,longevity,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,longevity,15} \\ = T_{extend} \times \rho_{HALE,15} \times f_{cure,15,treaty} \\ = 20 \times 30\% \times 100\% \\ = 6 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Personal Upside (Blended)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty HALE Value Per Capita (USD/person) 0.9609 Strong driver
Treaty Trajectory Lifetime Income Gain (Per Capita) (USD) 0.1566 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Personal Upside (Blended) (10,000 simulations)

Monte Carlo Distribution: Treaty Personal Upside (Blended) (10,000 simulations)

Simulation Results Summary: Treaty Personal Upside (Blended)

Statistic Value
Baseline (deterministic) $2.93 million
Mean (expected value) $2.78 million
Median (50th percentile) $2.58 million
Standard Deviation $1.21 million
90% Range (5th-95th percentile) [$1.29 million, $4.91 million]

The histogram shows the distribution of Treaty Personal Upside (Blended) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Personal Upside (Blended)

Probability of Exceeding Threshold: Treaty Personal Upside (Blended)

This exceedance probability chart shows the likelihood that Treaty Personal Upside (Blended) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Projected HALE at Year 15: 79.4 years

Projected global HALE at year 15 under Treaty Trajectory. Current HALE plus the treaty-driven improvement from closing the disease gap.

Inputs:

\[ \begin{gathered} HALE_{treaty,15} \\ = HALE_{0} + \Delta HALE_{treaty,15} \\ = 63.3 + 16.1 \\ = 79.4 \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,15} \\ = f_{cure,15,treaty} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{treaty,longevity,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{treaty,longevity,15} \\ = T_{extend} \times \rho_{HALE,15} \times f_{cure,15,treaty} \\ = 20 \times 30\% \times 100\% \\ = 6 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Projected HALE at Year 15

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty HALE Gain at Year 15 (years) 1.0158 Strong driver
Global Healthy Life Expectancy (HALE) (years) 0.2166 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Projected HALE at Year 15 (10,000 simulations)

Monte Carlo Distribution: Treaty Projected HALE at Year 15 (10,000 simulations)

Simulation Results Summary: Treaty Projected HALE at Year 15

Statistic Value
Baseline (deterministic) 79.4
Mean (expected value) 78.3
Median (50th percentile) 77
Standard Deviation 6.97
90% Range (5th-95th percentile) [70.2, 90.7]

The histogram shows the distribution of Treaty Projected HALE at Year 15 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Projected HALE at Year 15

Probability of Exceeding Threshold: Treaty Projected HALE at Year 15

This exceedance probability chart shows the likelihood that Treaty Projected HALE at Year 15 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Redirect GDP Growth Bonus (Year 15): 0.807%

Annual GDP growth bonus by year 15 from redirecting military spending to medical research under the treaty take-hold path, including R&D spillovers.

Inputs:

\[ \begin{gathered} g_{redirect,treaty,15} \\ = \bar{s}_{treaty,15} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 4.4\% \times 5.5\% \times 2 \times 1.67 \\ = 0.807\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,15} \\ = s_{ratchet} \times 0.212 \\ = 10\% \times 0.212 \\ = 4.4\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Redirect GDP Growth Bonus (Year 15)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Effective Reallocation Share (Year 15) (rate) 0.7551 Strong driver
GDP Growth Boost at 30% Military Reallocation (rate) 0.5154 Strong driver
R&D Spillover Multiplier (x) 0.3510 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Redirect GDP Growth Bonus (Year 15) (10,000 simulations)

Monte Carlo Distribution: Treaty Redirect GDP Growth Bonus (Year 15) (10,000 simulations)

Simulation Results Summary: Treaty Redirect GDP Growth Bonus (Year 15)

Statistic Value
Baseline (deterministic) 0.807%
Mean (expected value) 0.789%
Median (50th percentile) 0.783%
Standard Deviation 0.266%
90% Range (5th-95th percentile) [0.342%, 1.24%]

The histogram shows the distribution of Treaty Redirect GDP Growth Bonus (Year 15) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Redirect GDP Growth Bonus (Year 15)

Probability of Exceeding Threshold: Treaty Redirect GDP Growth Bonus (Year 15)

This exceedance probability chart shows the likelihood that Treaty Redirect GDP Growth Bonus (Year 15) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Redirect GDP Growth Bonus (Year 20): 1.06%

Annual GDP growth bonus by year 20 from redirecting military spending to medical research under the treaty take-hold path, including R&D spillovers.

Inputs:

\[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Redirect GDP Growth Bonus (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Effective Reallocation Share (Year 20) (rate) 0.8265 Strong driver
GDP Growth Boost at 30% Military Reallocation (rate) 0.4320 Moderate driver
R&D Spillover Multiplier (x) 0.2939 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Redirect GDP Growth Bonus (Year 20) (10,000 simulations)

Monte Carlo Distribution: Treaty Redirect GDP Growth Bonus (Year 20) (10,000 simulations)

Simulation Results Summary: Treaty Redirect GDP Growth Bonus (Year 20)

Statistic Value
Baseline (deterministic) 1.06%
Mean (expected value) 1.05%
Median (50th percentile) 1.03%
Standard Deviation 0.424%
90% Range (5th-95th percentile) [0.363%, 1.79%]

The histogram shows the distribution of Treaty Redirect GDP Growth Bonus (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Redirect GDP Growth Bonus (Year 20)

Probability of Exceeding Threshold: Treaty Redirect GDP Growth Bonus (Year 20)

This exceedance probability chart shows the likelihood that Treaty Redirect GDP Growth Bonus (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty ROI - Historical Rate (Existing Drugs): 290 thousand:1

Treaty ROI based on historical rate of drug development (existing drugs only). Total one-time benefit from avoiding regulatory delay for drugs already in development divided by campaign cost. Excludes future innovation effects.

Inputs:

\[ \begin{gathered} ROI_{drugs} \\ = \frac{Loss_{lag}}{Cost_{campaign}} \\ = \frac{\$290T}{\$1B} \\ = 290{,}000 \end{gathered} \] where: \[ \begin{gathered} Loss_{lag} \\ = \text{DEATHS\_TOTAL} \times (REMAINING_LIFE_EXPECTANCY_AT_60 - (\text{MEAN\_AGE\_OF\_DEATH} - 60)) \times \text{VSLY} \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag,total} \\ = Lives_{saved,annual} \times T_{lag} \\ = 12.4M \times 8.2 \\ = 102M \end{gathered} \] where: \[ \begin{gathered} Lives_{saved,annual} \\ = \frac{LY_{saved,annual}}{T_{ext}} \\ = \frac{149M}{12} \\ = 12.4M \end{gathered} \] where: \[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty ROI - Historical Rate (Existing Drugs)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Economic Loss from Historical Progress Delays (USD) 0.8671 Strong driver
Total 1% Treaty Campaign Cost (USD) -0.4297 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty ROI - Historical Rate (Existing Drugs) (10,000 simulations)

Monte Carlo Distribution: Treaty ROI - Historical Rate (Existing Drugs) (10,000 simulations)

Simulation Results Summary: Treaty ROI - Historical Rate (Existing Drugs)

Statistic Value
Baseline (deterministic) 290 thousand:1
Mean (expected value) 305 thousand:1
Median (50th percentile) 274 thousand:1
Standard Deviation 156 thousand:1
90% Range (5th-95th percentile) [117 thousand:1, 600 thousand:1]

The histogram shows the distribution of Treaty ROI - Historical Rate (Existing Drugs) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty ROI - Historical Rate (Existing Drugs)

Probability of Exceeding Threshold: Treaty ROI - Historical Rate (Existing Drugs)

This exceedance probability chart shows the likelihood that Treaty ROI - Historical Rate (Existing Drugs) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput: 84.8 million:1

Treaty ROI from elimination of efficacy lag plus earlier treatment discovery from increased trial throughput. Total one-time benefit divided by campaign cost. This is the primary ROI estimate for total health benefits.

Inputs:

\[ \begin{gathered} ROI_{max} \\ = \frac{Value_{max}}{Cost_{campaign}} \\ = \frac{\$84800T}{\$1B} \\ = 84.8M \end{gathered} \] where: \[ \begin{gathered} Value_{max} \\ = DALYs_{max} \times Value_{QALY} \\ = 565B \times \$150K \\ = \$84800T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Treaty ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Economic Benefit from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (USD) 0.8562 Strong driver
Total 1% Treaty Campaign Cost (USD) -0.4450 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput (10,000 simulations)

Monte Carlo Distribution: Treaty ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput (10,000 simulations)

Simulation Results Summary: Treaty ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput

Statistic Value
Baseline (deterministic) 84.8 million:1
Mean (expected value) 101 million:1
Median (50th percentile) 91.1 million:1
Standard Deviation 49.8 million:1
90% Range (5th-95th percentile) [39.6 million:1, 194 million:1]

The histogram shows the distribution of Treaty ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput

Probability of Exceeding Threshold: Treaty ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput

This exceedance probability chart shows the likelihood that Treaty ROI - Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Trajectory Average Income at Year 15: $26,713

Average income (GDP per capita) at year 15 under the Treaty Trajectory.

Inputs:

\[ \begin{gathered} \bar{y}_{treaty,15} \\ = \frac{GDP_{treaty,15}}{Pop_{2040}} \\ = \frac{\$238T}{8.9B} \\ = \$26.7K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,15} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,15} \\ + g_{peace,treaty,15} + g_{cyber,treaty,15} \\ + g_{health,treaty,15})^{15} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,15} \\ = \bar{s}_{treaty,15} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 4.4\% \times 5.5\% \times 2 \times 1.67 \\ = 0.807\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,15} \\ = s_{ratchet} \times 0.212 \\ = 10\% \times 0.212 \\ = 4.4\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,15} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,15}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,15} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,15} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,15} \\ = \frac{f_{cure,15,treaty} - d_{disease}}{-7.22} \\ = \frac{100\% - 13\%}{-7.22} \\ = 0.818\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Trajectory Average Income at Year 15

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory GDP at Year 15 (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Trajectory Average Income at Year 15 (10,000 simulations)

Monte Carlo Distribution: Treaty Trajectory Average Income at Year 15 (10,000 simulations)

Simulation Results Summary: Treaty Trajectory Average Income at Year 15

Statistic Value
Baseline (deterministic) $26,713
Mean (expected value) $26,442
Median (50th percentile) $26,559
Standard Deviation $1,886
90% Range (5th-95th percentile) [$22,882, $29,274]

The histogram shows the distribution of Treaty Trajectory Average Income at Year 15 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Trajectory Average Income at Year 15

Probability of Exceeding Threshold: Treaty Trajectory Average Income at Year 15

This exceedance probability chart shows the likelihood that Treaty Trajectory Average Income at Year 15 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Trajectory Average Income at Year 20: $34,972

Average income (GDP per capita) at year 20 under the Treaty Trajectory.

Inputs:

\[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Trajectory Average Income at Year 20

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory GDP at Year 20 (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Trajectory Average Income at Year 20 (10,000 simulations)

Monte Carlo Distribution: Treaty Trajectory Average Income at Year 20 (10,000 simulations)

Simulation Results Summary: Treaty Trajectory Average Income at Year 20

Statistic Value
Baseline (deterministic) $34,972
Mean (expected value) $35,084
Median (50th percentile) $34,830
Standard Deviation $5,149
90% Range (5th-95th percentile) [$26,587, $43,903]

The histogram shows the distribution of Treaty Trajectory Average Income at Year 20 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Trajectory Average Income at Year 20

Probability of Exceeding Threshold: Treaty Trajectory Average Income at Year 20

This exceedance probability chart shows the likelihood that Treaty Trajectory Average Income at Year 20 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Trajectory CAGR (20 Years): 5.28%

Compound annual growth rate implied by Treaty Trajectory GDP trajectory over 20 years.

Inputs:

\[ \begin{gathered} g_{treaty,CAGR} \\ = \left(\frac{GDP_{treaty,20}}{GDP_{global}}\right)^{\frac{1}{20}} - 1 \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Trajectory CAGR (20 Years)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory GDP at Year 20 (USD) 0.9948 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Trajectory CAGR (20 Years) (10,000 simulations)

Monte Carlo Distribution: Treaty Trajectory CAGR (20 Years) (10,000 simulations)

Simulation Results Summary: Treaty Trajectory CAGR (20 Years)

Statistic Value
Baseline (deterministic) 5.28%
Mean (expected value) 5.24%
Median (50th percentile) 5.26%
Standard Deviation 0.783%
90% Range (5th-95th percentile) [3.85%, 6.48%]

The histogram shows the distribution of Treaty Trajectory CAGR (20 Years) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Trajectory CAGR (20 Years)

Probability of Exceeding Threshold: Treaty Trajectory CAGR (20 Years)

This exceedance probability chart shows the likelihood that Treaty Trajectory CAGR (20 Years) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Trajectory Cumulative Lifetime Income (Per Capita): $1.42 million

Cumulative per-capita income over an average remaining lifespan under Treaty Trajectory. Uses implied per-capita CAGR for years 1-20 (derived from known year-0 and year-20 per-capita incomes), then current-trajectory per-capita growth from the year-20 level. Conservative: assumes no further treaty acceleration beyond year 20.

Inputs:

\[ \begin{gathered} Y_{cum,treaty} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,treaty})((1+g_{pc,treaty})^{20}-1)}{g_{pc,treaty}} \\ + \bar{y}_{treaty,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Trajectory Cumulative Lifetime Income (Per Capita)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory Average Income at Year 20 (USD) 0.8700 Strong driver
Average Remaining Years (Median Person) (years) 0.4772 Moderate driver
Global Average Income (2025 Baseline) (USD) -0.0245 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Trajectory Cumulative Lifetime Income (Per Capita) (10,000 simulations)

Monte Carlo Distribution: Treaty Trajectory Cumulative Lifetime Income (Per Capita) (10,000 simulations)

Simulation Results Summary: Treaty Trajectory Cumulative Lifetime Income (Per Capita)

Statistic Value
Baseline (deterministic) $1.42 million
Mean (expected value) $1.45 million
Median (50th percentile) $1.44 million
Standard Deviation $212,011
90% Range (5th-95th percentile) [$1.11 million, $1.82 million]

The histogram shows the distribution of Treaty Trajectory Cumulative Lifetime Income (Per Capita) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Trajectory Cumulative Lifetime Income (Per Capita)

Probability of Exceeding Threshold: Treaty Trajectory Cumulative Lifetime Income (Per Capita)

This exceedance probability chart shows the likelihood that Treaty Trajectory Cumulative Lifetime Income (Per Capita) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 15): 1.43x

Treaty Trajectory GDP at year 15 as a multiple of current trajectory GDP at year 15.

Inputs:

\[ \begin{gathered} k_{treaty:base,15} \\ = \frac{GDP_{treaty,15}}{GDP_{base,15}} \\ = \frac{\$238T}{\$167T} \\ = 1.43 \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,15} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,15} \\ + g_{peace,treaty,15} + g_{cyber,treaty,15} \\ + g_{health,treaty,15})^{15} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,15} \\ = \bar{s}_{treaty,15} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 4.4\% \times 5.5\% \times 2 \times 1.67 \\ = 0.807\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,15} \\ = s_{ratchet} \times 0.212 \\ = 10\% \times 0.212 \\ = 4.4\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,15} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,15}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,15} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,15} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,15} \\ = \frac{f_{cure,15,treaty} - d_{disease}}{-7.22} \\ = \frac{100\% - 13\%}{-7.22} \\ = 0.818\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ GDP_{base,15} = GDP_{global} \times (1 + g_{base})^{15} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 15)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory GDP at Year 15 (USD) 1.0000 Strong driver
Current Trajectory GDP at Year 15 (USD) 0.0000 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 15) (10,000 simulations)

Monte Carlo Distribution: Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 15) (10,000 simulations)

Simulation Results Summary: Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 15)

Statistic Value
Baseline (deterministic) 1.43x
Mean (expected value) 1.41x
Median (50th percentile) 1.42x
Standard Deviation 0.101x
90% Range (5th-95th percentile) [1.22x, 1.56x]

The histogram shows the distribution of Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 15) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 15)

Probability of Exceeding Threshold: Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 15)

This exceedance probability chart shows the likelihood that Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 15) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 20): 1.71x

Treaty Trajectory GDP at year 20 as a multiple of current trajectory GDP at year 20.

Inputs:

\[ \begin{gathered} k_{treaty:base,20} \\ = \frac{GDP_{treaty,20}}{GDP_{base,20}} \\ = \frac{\$322T}{\$188T} \\ = 1.71 \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory GDP at Year 20 (USD) 1.0000 Strong driver
Current Trajectory GDP at Year 20 (USD) 0.0000 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 20) (10,000 simulations)

Monte Carlo Distribution: Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 20) (10,000 simulations)

Simulation Results Summary: Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 20)

Statistic Value
Baseline (deterministic) 1.71x
Mean (expected value) 1.71x
Median (50th percentile) 1.7x
Standard Deviation 0.251x
90% Range (5th-95th percentile) [1.3x, 2.14x]

The histogram shows the distribution of Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 20)

Probability of Exceeding Threshold: Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 20)

This exceedance probability chart shows the likelihood that Treaty Trajectory vs Current Trajectory GDP Multiplier (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Trajectory GDP at Year 15: $238 trillion

Projected global GDP at year 15 under the optimistic treaty take-hold path. Compounds baseline growth plus explicit military redirect spillovers, peace dividend recovery, cybercrime drag recovery, and health recovery from disease cures and faster deployment.

Inputs:

\[ \begin{gathered} GDP_{treaty,15} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,15} \\ + g_{peace,treaty,15} + g_{cyber,treaty,15} \\ + g_{health,treaty,15})^{15} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,15} \\ = \bar{s}_{treaty,15} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 4.4\% \times 5.5\% \times 2 \times 1.67 \\ = 0.807\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,15} \\ = s_{ratchet} \times 0.212 \\ = 10\% \times 0.212 \\ = 4.4\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,15} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,15}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,15} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,15} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,15} \\ = \frac{f_{cure,15,treaty} - d_{disease}}{-7.22} \\ = \frac{100\% - 13\%}{-7.22} \\ = 0.818\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Trajectory GDP at Year 15

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Redirect GDP Growth Bonus (Year 15) (rate) 0.5505 Strong driver
Treaty Health Recovery GDP Growth Bonus (Year 15) (rate) 0.2367 Weak driver
Treaty Peace Recovery GDP Growth Bonus (Year 15) (rate) 0.2337 Weak driver
Treaty Cybercrime Recovery GDP Growth Bonus (Year 15) (rate) 0.1650 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Trajectory GDP at Year 15 (10,000 simulations)

Monte Carlo Distribution: Treaty Trajectory GDP at Year 15 (10,000 simulations)

Simulation Results Summary: Treaty Trajectory GDP at Year 15

Statistic Value
Baseline (deterministic) $238 trillion
Mean (expected value) $235 trillion
Median (50th percentile) $236 trillion
Standard Deviation $16.8 trillion
90% Range (5th-95th percentile) [$204 trillion, $261 trillion]

The histogram shows the distribution of Treaty Trajectory GDP at Year 15 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Trajectory GDP at Year 15

Probability of Exceeding Threshold: Treaty Trajectory GDP at Year 15

This exceedance probability chart shows the likelihood that Treaty Trajectory GDP at Year 15 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Trajectory GDP at Year 20: $322 trillion

Projected global GDP at year 20 under the optimistic treaty take-hold path. Compounds baseline growth plus explicit military redirect spillovers, peace dividend recovery, cybercrime drag recovery, and health recovery from lower disease burden.

Inputs:

\[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Trajectory GDP at Year 20

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Redirect GDP Growth Bonus (Year 20) (rate) 0.5961 Strong driver
Treaty Peace Recovery GDP Growth Bonus (Year 20) (rate) 0.2722 Weak driver
Treaty Cybercrime Recovery GDP Growth Bonus (Year 20) (rate) 0.1642 Weak driver
Treaty Health Recovery GDP Growth Bonus (Year 20) (rate) 0.0317 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Trajectory GDP at Year 20 (10,000 simulations)

Monte Carlo Distribution: Treaty Trajectory GDP at Year 20 (10,000 simulations)

Simulation Results Summary: Treaty Trajectory GDP at Year 20

Statistic Value
Baseline (deterministic) $322 trillion
Mean (expected value) $323 trillion
Median (50th percentile) $320 trillion
Standard Deviation $47.4 trillion
90% Range (5th-95th percentile) [$245 trillion, $404 trillion]

The histogram shows the distribution of Treaty Trajectory GDP at Year 20 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Trajectory GDP at Year 20

Probability of Exceeding Threshold: Treaty Trajectory GDP at Year 20

This exceedance probability chart shows the likelihood that Treaty Trajectory GDP at Year 20 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Trajectory Lifetime Income Gain (Per Capita): $518,879

Lifetime per-capita income gain from Treaty Trajectory vs current trajectory. Cumulative treaty income minus cumulative earth income over average remaining lifespan. Uses global averages; individual gain scales with starting income.

Inputs:

\[ \begin{gathered} \Delta Y_{lifetime,treaty} \\ = Y_{cum,treaty} - Y_{cum,earth} \\ = \$1.42M - \$904K \\ = \$519K \end{gathered} \] where: \[ \begin{gathered} Y_{cum,treaty} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,treaty})((1+g_{pc,treaty})^{20}-1)}{g_{pc,treaty}} \\ + \bar{y}_{treaty,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Trajectory Lifetime Income Gain (Per Capita)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory Cumulative Lifetime Income (Per Capita) (USD) 1.1148 Strong driver
Current Trajectory Cumulative Lifetime Income (Per Capita) (USD) -0.3147 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Trajectory Lifetime Income Gain (Per Capita) (10,000 simulations)

Monte Carlo Distribution: Treaty Trajectory Lifetime Income Gain (Per Capita) (10,000 simulations)

Simulation Results Summary: Treaty Trajectory Lifetime Income Gain (Per Capita)

Statistic Value
Baseline (deterministic) $518,879
Mean (expected value) $532,105
Median (50th percentile) $521,963
Standard Deviation $190,180
90% Range (5th-95th percentile) [$221,703, $860,930]

The histogram shows the distribution of Treaty Trajectory Lifetime Income Gain (Per Capita) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Trajectory Lifetime Income Gain (Per Capita)

Probability of Exceeding Threshold: Treaty Trajectory Lifetime Income Gain (Per Capita)

This exceedance probability chart shows the likelihood that Treaty Trajectory Lifetime Income Gain (Per Capita) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Trajectory Lifetime Income Multiplier: 1.57x

Ratio of cumulative lifetime income under Treaty Trajectory vs current trajectory. Income-agnostic: applies as a multiplier to any individual’s lifetime earnings.

Inputs:

\[ \begin{gathered} k_{lifetime,treaty:earth} \\ = \frac{Y_{cum,treaty}}{Y_{cum,earth}} \\ = \frac{\$1.42M}{\$904K} \\ = 1.57 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,treaty} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,treaty})((1+g_{pc,treaty})^{20}-1)}{g_{pc,treaty}} \\ + \bar{y}_{treaty,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Trajectory Lifetime Income Multiplier

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory Cumulative Lifetime Income (Per Capita) (USD) 1.1413 Strong driver
Current Trajectory Cumulative Lifetime Income (Per Capita) (USD) -0.5084 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Trajectory Lifetime Income Multiplier (10,000 simulations)

Monte Carlo Distribution: Treaty Trajectory Lifetime Income Multiplier (10,000 simulations)

Simulation Results Summary: Treaty Trajectory Lifetime Income Multiplier

Statistic Value
Baseline (deterministic) 1.57x
Mean (expected value) 1.58x
Median (50th percentile) 1.57x
Standard Deviation 0.201x
90% Range (5th-95th percentile) [1.24x, 1.92x]

The histogram shows the distribution of Treaty Trajectory Lifetime Income Multiplier across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Trajectory Lifetime Income Multiplier

Probability of Exceeding Threshold: Treaty Trajectory Lifetime Income Multiplier

This exceedance probability chart shows the likelihood that Treaty Trajectory Lifetime Income Multiplier will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Median After-Tax Consumable Income, Treaty (Year 15): $4,381

Median after-tax consumable income at year 15 under the Treaty Trajectory. Same construction as the year-20 variant: military share reduced by the ratchet’s terminal redirect (the single ratchet knob), same erosion as the status quo (best guess zero) so distributional claims cancel, plus the WHO-anchored health-burden relief channel scaled by the ratchet-schedule cure fraction. Feeds the Prize settlement target.

Inputs:

\[ \begin{gathered} \tilde{m}_{treaty,15} \\ = \bar{y}_{treaty,15} \times (1 - s_{mil} \times (1 - s_{ratchet})) \times \rho_{med} \times (1 - e_{med})^{15} \times (1 \\ + r_{relief} \times f_{cure,15,treaty}) \times (1 - \tau_{med}) \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,15} \\ = \frac{GDP_{treaty,15}}{Pop_{2040}} \\ = \frac{\$238T}{8.9B} \\ = \$26.7K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,15} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,15} \\ + g_{peace,treaty,15} + g_{cyber,treaty,15} \\ + g_{health,treaty,15})^{15} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,15} \\ = \bar{s}_{treaty,15} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 4.4\% \times 5.5\% \times 2 \times 1.67 \\ = 0.807\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,15} \\ = s_{ratchet} \times 0.212 \\ = 10\% \times 0.212 \\ = 4.4\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,15} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,15}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,15} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,15} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,15} \\ = \frac{f_{cure,15,treaty} - d_{disease}}{-7.22} \\ = \frac{100\% - 13\%}{-7.22} \\ = 0.818\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 3 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} s_{mil} \\ = \frac{Spending_{mil}}{GDP_{global}} \\ = \frac{\$2.72T}{\$115T} \\ = 2.37\% \end{gathered} \] where: \[ \begin{gathered} \rho_{med} \\ = \frac{\tilde{y}_{gallup}}{\bar{y}_{0}} \\ = \frac{\$2.92K}{\$14.4K} \\ = 0.203 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Median After-Tax Consumable Income, Treaty (Year 15)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Median-to-Mean Income Ratio (ratio) 0.7769 Strong driver
Treaty Trajectory Average Income at Year 15 (USD) 0.4740 Moderate driver
Median Share Erosion Rate (Annual) (rate) -0.3085 Moderate driver
Median Income Relief from Full Disease Cure (rate) 0.1400 Weak driver
Treaty Disease Cure Fraction (15yr, Ratchet Schedule) (rate) 0.0933 Minimal effect
Treaty Ratchet Terminal Redirect Share (percent) 0.0079 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Median After-Tax Consumable Income, Treaty (Year 15) (10,000 simulations)

Monte Carlo Distribution: Median After-Tax Consumable Income, Treaty (Year 15) (10,000 simulations)

Simulation Results Summary: Median After-Tax Consumable Income, Treaty (Year 15)

Statistic Value
Baseline (deterministic) $4,381
Mean (expected value) $4,312
Median (50th percentile) $4,291
Standard Deviation $646
90% Range (5th-95th percentile) [$3,292, $5,411]

The histogram shows the distribution of Median After-Tax Consumable Income, Treaty (Year 15) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Median After-Tax Consumable Income, Treaty (Year 15)

Probability of Exceeding Threshold: Median After-Tax Consumable Income, Treaty (Year 15)

This exceedance probability chart shows the likelihood that Median After-Tax Consumable Income, Treaty (Year 15) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Median After-Tax Consumable Income, Treaty (Year 20): $5,736

Median after-tax consumable income at year 20 under the Treaty Trajectory. Mean income from the treaty GDP trajectory; military share reduced by the ratchet’s terminal redirect (the single ratchet knob); the same share erosion as the status quo (best guess zero) so distributional claims cancel out of the multiplier; plus the one pro-median channel: cures return out-of-pocket health costs and sick wages to the people who bear them (WHO-anchored relief share scaled by the ratchet-schedule cure fraction).

Inputs:

\[ \begin{gathered} \tilde{m}_{treaty,20} \\ = \bar{y}_{treaty,20} \times (1 - s_{mil} \times (1 - s_{ratchet})) \times \rho_{med} \times (1 - e_{med})^{20} \times (1 \\ + r_{relief} \times f_{cure,20,treaty}) \times (1 - \tau_{med}) \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} s_{mil} \\ = \frac{Spending_{mil}}{GDP_{global}} \\ = \frac{\$2.72T}{\$115T} \\ = 2.37\% \end{gathered} \] where: \[ \begin{gathered} \rho_{med} \\ = \frac{\tilde{y}_{gallup}}{\bar{y}_{0}} \\ = \frac{\$2.92K}{\$14.4K} \\ = 0.203 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Median After-Tax Consumable Income, Treaty (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Treaty Trajectory Average Income at Year 20 (USD) 0.7300 Strong driver
Global Median-to-Mean Income Ratio (ratio) 0.5792 Strong driver
Median Share Erosion Rate (Annual) (rate) -0.3062 Moderate driver
Median Income Relief from Full Disease Cure (rate) 0.1081 Weak driver
Treaty Disease Cure Fraction (20yr, Ratchet Schedule) (rate) 0.0391 Minimal effect
Treaty Ratchet Terminal Redirect Share (percent) 0.0055 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Median After-Tax Consumable Income, Treaty (Year 20) (10,000 simulations)

Monte Carlo Distribution: Median After-Tax Consumable Income, Treaty (Year 20) (10,000 simulations)

Simulation Results Summary: Median After-Tax Consumable Income, Treaty (Year 20)

Statistic Value
Baseline (deterministic) $5,736
Mean (expected value) $5,742
Median (50th percentile) $5,668
Standard Deviation $1,154
90% Range (5th-95th percentile) [$3,967, $7,768]

The histogram shows the distribution of Median After-Tax Consumable Income, Treaty (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Median After-Tax Consumable Income, Treaty (Year 20)

Probability of Exceeding Threshold: Median After-Tax Consumable Income, Treaty (Year 20)

This exceedance probability chart shows the likelihood that Median After-Tax Consumable Income, Treaty (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Cost-Effectiveness vs Bed Nets Multiplier: 50.3kx

How many times more cost-effective than bed nets (using bed net cost per DALY midpoint estimate)

Inputs:

\[ \begin{gathered} k_{treaty:nets} \\ = \frac{Cost_{nets}}{Cost_{treaty,DALY}} \\ = \frac{\$89}{\$0.00177} \\ = 50{,}300 \end{gathered} \] where: \[ \begin{gathered} Cost_{treaty,DALY} \\ = \frac{Cost_{campaign}}{DALYs_{max}} \\ = \frac{\$1B}{565B} \\ = \$0.00177 \end{gathered} \] where: \[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Cost-Effectiveness vs Bed Nets Multiplier

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput) (USD/DALY) -0.8186 Strong driver
Bed Nets Cost per DALY (USD/DALY) 0.1316 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Cost-Effectiveness vs Bed Nets Multiplier (10,000 simulations)

Monte Carlo Distribution: Cost-Effectiveness vs Bed Nets Multiplier (10,000 simulations)

Simulation Results Summary: Cost-Effectiveness vs Bed Nets Multiplier

Statistic Value
Baseline (deterministic) 50.3kx
Mean (expected value) 59.9kx
Median (50th percentile) 54.9kx
Standard Deviation 27.1kx
90% Range (5th-95th percentile) [25.0kx, 111.1kx]

The histogram shows the distribution of Cost-Effectiveness vs Bed Nets Multiplier across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Cost-Effectiveness vs Bed Nets Multiplier

Probability of Exceeding Threshold: Cost-Effectiveness vs Bed Nets Multiplier

This exceedance probability chart shows the likelihood that Cost-Effectiveness vs Bed Nets Multiplier will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty vs Status Quo Median Income Multiplier (Year 20): 1.89x

Median after-tax income at year 20: Treaty vs status quo. Larger than the GDP multiplier for two auditable reasons: the treaty cuts the military deduction by the ratchet’s terminal redirect while the status-quo military share drifts up on its measured trend, and the WHO-anchored health-burden relief channel applies only on the treaty branch. Share erosion is identical in both branches and cancels out of this ratio by construction.

Inputs:

\[ \begin{gathered} k_{med,treaty:base} \\ = \frac{\tilde{m}_{treaty,20}}{\tilde{m}_{base,20}} \\ = \frac{\$5.74K}{\$3.03K} \\ = 1.89 \end{gathered} \] where: \[ \begin{gathered} \tilde{m}_{treaty,20} \\ = \bar{y}_{treaty,20} \times (1 - s_{mil} \times (1 - s_{ratchet})) \times \rho_{med} \times (1 - e_{med})^{20} \times (1 \\ + r_{relief} \times f_{cure,20,treaty}) \times (1 - \tau_{med}) \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{treaty,20} \\ = \frac{GDP_{treaty,20}}{Pop_{2045}} \\ = \frac{\$322T}{9.2B} \\ = \$35K \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} s_{mil} \\ = \frac{Spending_{mil}}{GDP_{global}} \\ = \frac{\$2.72T}{\$115T} \\ = 2.37\% \end{gathered} \] where: \[ \begin{gathered} \rho_{med} \\ = \frac{\tilde{y}_{gallup}}{\bar{y}_{0}} \\ = \frac{\$2.92K}{\$14.4K} \\ = 0.203 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \tilde{m}_{base,20} \\ = \bar{y}_{base,20} \times (1 - s_{mil} \times \left(\frac{1+g_{mil,10yr}}{1+g_{base}}\right)^{20}) \times \rho_{med} \times (1 - e_{med})^{20} \times (1 - \tau_{med}) \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty vs Status Quo Median Income Multiplier (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Median After-Tax Consumable Income, Treaty (Year 20) (USD) 1.2956 Strong driver
Median After-Tax Consumable Income, Status Quo (Year 20) (USD) -0.8490 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty vs Status Quo Median Income Multiplier (Year 20) (10,000 simulations)

Monte Carlo Distribution: Treaty vs Status Quo Median Income Multiplier (Year 20) (10,000 simulations)

Simulation Results Summary: Treaty vs Status Quo Median Income Multiplier (Year 20)

Statistic Value
Baseline (deterministic) 1.89x
Mean (expected value) 1.89x
Median (50th percentile) 1.88x
Standard Deviation 0.289x
90% Range (5th-95th percentile) [1.42x, 2.39x]

The histogram shows the distribution of Treaty vs Status Quo Median Income Multiplier (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty vs Status Quo Median Income Multiplier (Year 20)

Probability of Exceeding Threshold: Treaty vs Status Quo Median Income Multiplier (Year 20)

This exceedance probability chart shows the likelihood that Treaty vs Status Quo Median Income Multiplier (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Treaty Campaign Leverage vs Direct Funding: 476x

How many times more cost-effective the treaty campaign is vs direct pragmatic trial funding. Treaty campaign unlocks government funding at scale, avoiding need for philanthropists/NIH to directly commit equivalent amounts. Both approaches achieve same DALY timeline shift benefit. Treaty spreads cost across governments while building sustainable public funding infrastructure.

Inputs:

\[ \begin{gathered} Leverage_{treaty} \\ = \frac{Cost_{direct,DALY}}{Cost_{treaty,DALY}} \\ = \frac{\$0.842}{\$0.00177} \\ = 476 \end{gathered} \] where: \[ \begin{gathered} Cost_{direct,DALY} \\ = \frac{NPV_{direct}}{DALYs_{max}} \\ = \frac{\$476B}{565B} \\ = \$0.842 \end{gathered} \] where: \[ \begin{gathered} NPV_{direct} \\ = \frac{T_{queue,trial}}{Funding_{trial,ref} \times r_{discount}} \\ = \frac{36}{\$21.8B \times 3\%} \\ = \$476B \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} Cost_{treaty,DALY} \\ = \frac{Cost_{campaign}}{DALYs_{max}} \\ = \frac{\$1B}{565B} \\ = \$0.00177 \end{gathered} \] where: \[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Treaty Campaign Leverage vs Direct Funding

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Direct Pragmatic Trial Funding Cost per DALY (USD/DALY) 0.9006 Strong driver
Cost per DALY Averted (Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Increased Trial Throughput) (USD/DALY) -0.8340 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Treaty Campaign Leverage vs Direct Funding (10,000 simulations)

Monte Carlo Distribution: Treaty Campaign Leverage vs Direct Funding (10,000 simulations)

Simulation Results Summary: Treaty Campaign Leverage vs Direct Funding

Statistic Value
Baseline (deterministic) 476x
Mean (expected value) 450x
Median (50th percentile) 428x
Standard Deviation 211x
90% Range (5th-95th percentile) [149x, 830x]

The histogram shows the distribution of Treaty Campaign Leverage vs Direct Funding across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Treaty Campaign Leverage vs Direct Funding

Probability of Exceeding Threshold: Treaty Campaign Leverage vs Direct Funding

This exceedance probability chart shows the likelihood that Treaty Campaign Leverage vs Direct Funding will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Cumulative Trial Capacity Years Over 20 Years: 247 years

Cumulative trial-capacity-equivalent years over 20-year period

Inputs:

\[ \begin{gathered} Capacity_{20yr} \\ = k_{capacity} \times 20 \\ = 12.3 \times 20 \\ = 247 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Cumulative Trial Capacity Years Over 20 Years

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Capacity Multiplier at Treaty-Scale Funding (x) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Cumulative Trial Capacity Years Over 20 Years (10,000 simulations)

Monte Carlo Distribution: Cumulative Trial Capacity Years Over 20 Years (10,000 simulations)

Simulation Results Summary: Cumulative Trial Capacity Years Over 20 Years

Statistic Value
Baseline (deterministic) 247
Mean (expected value) 409
Median (50th percentile) 319
Standard Deviation 320
90% Range (5th-95th percentile) [98.5, 1,015]

The histogram shows the distribution of Cumulative Trial Capacity Years Over 20 Years across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Cumulative Trial Capacity Years Over 20 Years

Probability of Exceeding Threshold: Cumulative Trial Capacity Years Over 20 Years

This exceedance probability chart shows the likelihood that Cumulative Trial Capacity Years Over 20 Years will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Ratio of Type II Error Cost to Type I Error Benefit: 3,389:1

Ratio of Type II error cost to Type I error benefit (harm from delay vs. harm prevented)

Inputs:

\[ \begin{gathered} Ratio_{TypeII} \\ = \frac{DALYs_{lag}}{DALY_{TypeI}} \\ = \frac{8.77B}{2.59M} \\ = 3{,}390 \end{gathered} \] where: \[ DALYs_{lag} = YLL_{lag} + YLD_{lag} = 7.9B + 873M = 8.77B \] where: \[ \begin{gathered} YLL_{lag} \\ = \text{DEATHS\_TOTAL} \times (REMAINING_LIFE_EXPECTANCY_AT_60 - (\text{MEAN\_AGE\_OF\_DEATH} - 60)) \end{gathered} \] where: \[ \begin{gathered} Deaths_{lag} \\ = T_{lag} \times Deaths_{disease,daily} \times 338 \\ = 8.2 \times 150{,}000 \times 338 \\ = 416M \end{gathered} \] where: \[ \begin{gathered} YLD_{lag} \\ = Deaths_{lag} \times T_{suffering} \times DW_{chronic} \\ = 416M \times 6 \times 0.35 \\ = 873M \end{gathered} \] where: \[ \begin{gathered} DALY_{TypeI} \\ = DALY_{thal} \times 62 \\ = 41{,}800 \times 62 \\ = 2.59M \end{gathered} \] where: \[ \begin{gathered} DALY_{thal} \\ = YLD_{thal} + YLL_{thal} \\ = 13{,}000 + 28{,}800 \\ = 41{,}800 \end{gathered} \] where: \[ \begin{gathered} YLD_{thal} \\ = DW_{thal} \times N_{thal,survive} \times LE_{thal} \\ = 0.4 \times 540 \times 60 \\ = 13{,}000 \end{gathered} \] where: \[ \begin{gathered} N_{thal,survive} \\ = N_{thal,US,prevent} \times (1 - Rate_{thal,mort}) \\ = 900 \times (1 - 40\%) \\ = 540 \end{gathered} \] where: \[ \begin{gathered} N_{thal,US,prevent} \\ = N_{thal,global} \times Pct_{US,1960} \\ = 15{,}000 \times 6\% \\ = 900 \end{gathered} \] where: \[ \begin{gathered} YLL_{thal} \\ = Deaths_{thal} \times 80 \\ = 360 \times 80 \\ = 28{,}800 \end{gathered} \] where: \[ \begin{gathered} Deaths_{thal} \\ = Rate_{thal,mort} \times N_{thal,US,prevent} \\ = 40\% \times 900 \\ = 360 \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Ratio of Type II Error Cost to Type I Error Benefit

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total DALYs Lost from Disease Eradication Delay (DALYs) 0.8413 Strong driver
Maximum DALYs Saved by FDA Preventing Unsafe Drugs (1962-2024) (DALYs) -0.4986 Moderate driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Ratio of Type II Error Cost to Type I Error Benefit (10,000 simulations)

Monte Carlo Distribution: Ratio of Type II Error Cost to Type I Error Benefit (10,000 simulations)

Simulation Results Summary: Ratio of Type II Error Cost to Type I Error Benefit

Statistic Value
Baseline (deterministic) 3,389:1
Mean (expected value) 3,510:1
Median (50th percentile) 3,348:1
Standard Deviation 1,215:1
90% Range (5th-95th percentile) [1,811:1, 5,734:1]

The histogram shows the distribution of Ratio of Type II Error Cost to Type I Error Benefit across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Ratio of Type II Error Cost to Type I Error Benefit

Probability of Exceeding Threshold: Ratio of Type II Error Cost to Type I Error Benefit

This exceedance probability chart shows the likelihood that Ratio of Type II Error Cost to Type I Error Benefit will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Maximum DALYs Saved by FDA Preventing Unsafe Drugs (1962-2024): 2.59 million DALYs

Maximum DALYs saved by FDA preventing unsafe drugs over 62-year period 1962-2024 (extreme overestimate: one Thalidomide-scale event per year)

Inputs:

\[ \begin{gathered} DALY_{TypeI} \\ = DALY_{thal} \times 62 \\ = 41{,}800 \times 62 \\ = 2.59M \end{gathered} \] where: \[ \begin{gathered} DALY_{thal} \\ = YLD_{thal} + YLL_{thal} \\ = 13{,}000 + 28{,}800 \\ = 41{,}800 \end{gathered} \] where: \[ \begin{gathered} YLD_{thal} \\ = DW_{thal} \times N_{thal,survive} \times LE_{thal} \\ = 0.4 \times 540 \times 60 \\ = 13{,}000 \end{gathered} \] where: \[ \begin{gathered} N_{thal,survive} \\ = N_{thal,US,prevent} \times (1 - Rate_{thal,mort}) \\ = 900 \times (1 - 40\%) \\ = 540 \end{gathered} \] where: \[ \begin{gathered} N_{thal,US,prevent} \\ = N_{thal,global} \times Pct_{US,1960} \\ = 15{,}000 \times 6\% \\ = 900 \end{gathered} \] where: \[ \begin{gathered} YLL_{thal} \\ = Deaths_{thal} \times 80 \\ = 360 \times 80 \\ = 28{,}800 \end{gathered} \] where: \[ \begin{gathered} Deaths_{thal} \\ = Rate_{thal,mort} \times N_{thal,US,prevent} \\ = 40\% \times 900 \\ = 360 \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Maximum DALYs Saved by FDA Preventing Unsafe Drugs (1962-2024)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Thalidomide DALYs Per Event (DALYs) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Maximum DALYs Saved by FDA Preventing Unsafe Drugs (1962-2024) (10,000 simulations)

Monte Carlo Distribution: Maximum DALYs Saved by FDA Preventing Unsafe Drugs (1962-2024) (10,000 simulations)

Simulation Results Summary: Maximum DALYs Saved by FDA Preventing Unsafe Drugs (1962-2024)

Statistic Value
Baseline (deterministic) 2.59 million
Mean (expected value) 2.58 million
Median (50th percentile) 2.55 million
Standard Deviation 448 thousand
90% Range (5th-95th percentile) [1.88 million, 3.38 million]

The histogram shows the distribution of Maximum DALYs Saved by FDA Preventing Unsafe Drugs (1962-2024) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Maximum DALYs Saved by FDA Preventing Unsafe Drugs (1962-2024)

Probability of Exceeding Threshold: Maximum DALYs Saved by FDA Preventing Unsafe Drugs (1962-2024)

This exceedance probability chart shows the likelihood that Maximum DALYs Saved by FDA Preventing Unsafe Drugs (1962-2024) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Unexplored Therapeutic Frontier: 99.7%

Fraction of possible drug-disease space that remains unexplored (>99%)

Inputs:

\[ \begin{gathered} Ratio_{unexplored} \\ = 1 - \frac{N_{tested}}{N_{combos}} \\ = 1 - \frac{32{,}500}{9.5M} \\ = 99.7\% \end{gathered} \] where: \[ \begin{gathered} N_{combos} \\ = N_{safe} \times N_{diseases,trial} \\ = 9{,}500 \times 1{,}000 \\ = 9.5M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Unexplored Therapeutic Frontier

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Tested Drug-Disease Relationships (relationships) -0.7794 Strong driver
Possible Drug-Disease Combinations (combinations) 0.5916 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Unexplored Therapeutic Frontier (10,000 simulations)

Monte Carlo Distribution: Unexplored Therapeutic Frontier (10,000 simulations)

Simulation Results Summary: Unexplored Therapeutic Frontier

Statistic Value
Baseline (deterministic) 99.7%
Mean (expected value) 99.6%
Median (50th percentile) 99.7%
Standard Deviation 0.116%
90% Range (5th-95th percentile) [99.4%, 99.8%]

The histogram shows the distribution of Unexplored Therapeutic Frontier across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Unexplored Therapeutic Frontier

Probability of Exceeding Threshold: Unexplored Therapeutic Frontier

This exceedance probability chart shows the likelihood that Unexplored Therapeutic Frontier will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Pre-WW2 US Military Spending % Lower than Current: 96.7%

How much lower pre-WW2 (1939) US military spending was than today’s peacetime budget, in constant 2024 dollars

Inputs:

\[ \begin{gathered} Pct_{1939<2024} \\ = 1 - \frac{Spending_{US,1939}}{Spending_{US,2024}} \\ = 1 - \frac{\$29B}{\$886B} \\ = 96.7\% \end{gathered} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Pre-WW2 US Military Spending % Lower than Current is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 96.7%
Mean (expected value) 96.7%
Median (50th percentile) 96.7%
Standard Deviation 2.22e-14%
90% Range (5th-95th percentile) [96.7%, 96.7%]

Exceedance Probability

Exceedance note: Pre-WW2 US Military Spending % Lower than Current collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 96.7%

US Congress Full Advocacy Cost: $5.35 billion

Upper-bound advocacy cost to match career incentives for all 535 members of Congress

Inputs:

\[ \begin{gathered} Cost_{US,congress} \\ = N_{congress} \times V_{post-office} \\ = 535 \times \$10M \\ = \$5.35B \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Monte Carlo Distribution

Monte Carlo note: US Congress Full Advocacy Cost is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 5.350e-03)

Statistic Value
Baseline (deterministic) $5.35 billion
Mean (expected value) $5.35 billion
Median (50th percentile) $5.35 billion
Standard Deviation $0
90% Range (5th-95th percentile) [$5.35 billion, $5.35 billion]

Exceedance Probability

Exceedance note: US Congress Full Advocacy Cost collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 5.350e-03)

Approximate deterministic value: $5.35 billion

US Federal Spending per Capita: $20,299

US federal spending per capita. $6.8T total federal spending divided by 335M population.

Inputs:

\[ \begin{gathered} Spend_{fed,pc} \\ = \frac{Spending_{US,fed}}{Pop_{US}} \\ = \frac{\$6.8T}{335M} \\ = \$20.3K \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for US Federal Spending per Capita

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Population in 2024 (people) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: US Federal Spending per Capita (10,000 simulations)

Monte Carlo Distribution: US Federal Spending per Capita (10,000 simulations)

Simulation Results Summary: US Federal Spending per Capita

Statistic Value
Baseline (deterministic) $20,299
Mean (expected value) $20,302
Median (50th percentile) $20,303
Standard Deviation $146
90% Range (5th-95th percentile) [$20,052, $20,553]

The histogram shows the distribution of US Federal Spending per Capita across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: US Federal Spending per Capita

Probability of Exceeding Threshold: US Federal Spending per Capita

This exceedance probability chart shows the likelihood that US Federal Spending per Capita will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

US Discretionary Efficiency: 40.5%

US federal discretionary spending efficiency. What fraction of discretionary spending avoids direct waste (Cat 1 only: military overspend, corporate welfare, drug war, fossil/ag subsidies). ~41%. Some Cat 1 items (farm subsidies, tax expenditures) are technically mandatory/off-budget but are fungible policy choices.

Inputs:

\[ \begin{gathered} E_{US,disc} \\ = 1 - \frac{W_{cat1}}{Spending_{US,disc}} \\ = 1 - \frac{\$1.01T}{\$1.7T} \\ = 40.5\% \end{gathered} \] where: \[ \begin{gathered} W_{cat1} \\ = W_{military} + W_{corporate} + W_{drugs} + W_{fossil} \\ + W_{agriculture} \\ = \$615B + \$181B + \$90B + \$50B + \$75B \\ = \$1.01T \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for US Discretionary Efficiency

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Category 1: Direct Spending Waste (USD) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: US Discretionary Efficiency (10,000 simulations)

Monte Carlo Distribution: US Discretionary Efficiency (10,000 simulations)

Simulation Results Summary: US Discretionary Efficiency

Statistic Value
Baseline (deterministic) 40.5%
Mean (expected value) 40.4%
Median (50th percentile) 40.5%
Standard Deviation 4.67%
90% Range (5th-95th percentile) [32.7%, 48.1%]

The histogram shows the distribution of US Discretionary Efficiency across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: US Discretionary Efficiency

Probability of Exceeding Threshold: US Discretionary Efficiency

This exceedance probability chart shows the likelihood that US Discretionary Efficiency will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

US Governance Efficiency (GDP): 83%

Total US governance efficiency: all 4 waste categories as share of GDP. 1 - ($4.9T / $28.78T) = ~83%. This broader metric captures direct spending waste, compliance burden, policy-induced GDP loss, and system inefficiency relative to total economic output.

Inputs:

\[ \begin{gathered} E_{US,GDP} \\ = 1 - \frac{W_{total,US}}{GDP_{US}} \\ = 1 - \frac{\$4.9T}{\$28.8T} \\ = 83\% \end{gathered} \] where: \[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for US Governance Efficiency (GDP)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Government Waste (Total) (USD) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: US Governance Efficiency (GDP) (10,000 simulations)

Monte Carlo Distribution: US Governance Efficiency (GDP) (10,000 simulations)

Simulation Results Summary: US Governance Efficiency (GDP)

Statistic Value
Baseline (deterministic) 83%
Mean (expected value) 83%
Median (50th percentile) 83.1%
Standard Deviation 1.31%
90% Range (5th-95th percentile) [80.8%, 85.1%]

The histogram shows the distribution of US Governance Efficiency (GDP) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: US Governance Efficiency (GDP)

Probability of Exceeding Threshold: US Governance Efficiency (GDP)

This exceedance probability chart shows the likelihood that US Governance Efficiency (GDP) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Category 1: Direct Spending Waste: $1.01 trillion

Category 1: Direct Federal Spending Waste. Actual federal budget allocations that could be redirected. Includes military overspend ($615B), corporate welfare ($181B), drug war ($90B), fossil fuel subsidies ($50B), and agricultural subsidies ($75B). Total: ~$1.01T annually. Solution: Budget reallocation.

Inputs:

\[ \begin{gathered} W_{cat1} \\ = W_{military} + W_{corporate} + W_{drugs} + W_{fossil} \\ + W_{agriculture} \\ = \$615B + \$181B + \$90B + \$50B + \$75B \\ = \$1.01T \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Category 1: Direct Spending Waste

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Military Overspend (USD) 0.8656 Strong driver
Drug War Cost (USD) 0.3211 Moderate driver
Agricultural Subsidies Deadweight Loss (USD) 0.2640 Weak driver
Corporate Welfare Waste (USD) 0.2345 Weak driver
Fossil Fuel Subsidies (Explicit) (USD) 0.1684 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Category 1: Direct Spending Waste (10,000 simulations)

Monte Carlo Distribution: Category 1: Direct Spending Waste (10,000 simulations)

Simulation Results Summary: Category 1: Direct Spending Waste

Statistic Value
Baseline (deterministic) $1.01 trillion
Mean (expected value) $1.01 trillion
Median (50th percentile) $1.01 trillion
Standard Deviation $79.4 billion
90% Range (5th-95th percentile) [$882 billion, $1.14 trillion]

The histogram shows the distribution of Category 1: Direct Spending Waste across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Category 1: Direct Spending Waste

Probability of Exceeding Threshold: Category 1: Direct Spending Waste

This exceedance probability chart shows the likelihood that Category 1: Direct Spending Waste will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Category 2: Compliance Burden: $1.13 trillion

Category 2: Compliance Burden on Private Sector. Private sector resources consumed by government-imposed compliance requirements. Includes tax compliance ($546B) and regulatory red tape ($580B). Total: ~$1.13T annually. Solution: Simplification (tax code reform, regulatory streamlining).

Inputs:

\[ \begin{gathered} W_{cat2} \\ = W_{tax} + W_{regulatory} \\ = \$546B + \$580B \\ = \$1.13T \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Category 2: Compliance Burden

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Regulatory Red Tape Waste (USD) 0.9652 Strong driver
Tax Compliance Waste (USD) 0.2574 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Category 2: Compliance Burden (10,000 simulations)

Monte Carlo Distribution: Category 2: Compliance Burden (10,000 simulations)

Simulation Results Summary: Category 2: Compliance Burden

Statistic Value
Baseline (deterministic) $1.13 trillion
Mean (expected value) $1.12 trillion
Median (50th percentile) $1.1 trillion
Standard Deviation $188 billion
90% Range (5th-95th percentile) [$856 billion, $1.49 trillion]

The histogram shows the distribution of Category 2: Compliance Burden across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Category 2: Compliance Burden

Probability of Exceeding Threshold: Category 2: Compliance Burden

This exceedance probability chart shows the likelihood that Category 2: Compliance Burden will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Category 3: GDP Loss: $1.56 trillion

Category 3: Policy-Induced GDP Loss. Economic output foregone due to policy constraints on markets. Includes housing/zoning restrictions ($1.4T) and tariffs ($160B). Total: ~$1.56T annually. Solution: Policy reform (zoning liberalization, trade policy).

Inputs:

\[ \begin{gathered} W_{cat3} \\ = W_{housing} + W_{tariffs} \\ = \$1.4T + \$160B \\ = \$1.56T \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Category 3: GDP Loss

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Housing/Zoning Restrictions Cost (USD) 0.9864 Strong driver
Tariff Cost (GDP Loss) (USD) 0.1558 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Category 3: GDP Loss (10,000 simulations)

Monte Carlo Distribution: Category 3: GDP Loss (10,000 simulations)

Simulation Results Summary: Category 3: GDP Loss

Statistic Value
Baseline (deterministic) $1.56 trillion
Mean (expected value) $1.55 trillion
Median (50th percentile) $1.53 trillion
Standard Deviation $288 billion
90% Range (5th-95th percentile) [$1.11 trillion, $2.1 trillion]

The histogram shows the distribution of Category 3: GDP Loss across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Category 3: GDP Loss

Probability of Exceeding Threshold: Category 3: GDP Loss

This exceedance probability chart shows the likelihood that Category 3: GDP Loss will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Category 4: System Inefficiency: $1.2 trillion

Category 4: Total System Inefficiency. Fundamental system design failures requiring structural redesign. Currently only healthcare system inefficiency ($1.2T). Solution: System redesign using competitive market models (Singapore’s catastrophic coverage + HSAs, Switzerland’s regulated competition).

Inputs:

\[ W_{cat4} = W_{health} = \$1.2T = \$1.2T \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Category 4: System Inefficiency

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Healthcare System Inefficiency (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Category 4: System Inefficiency (10,000 simulations)

Monte Carlo Distribution: Category 4: System Inefficiency (10,000 simulations)

Simulation Results Summary: Category 4: System Inefficiency

Statistic Value
Baseline (deterministic) $1.2 trillion
Mean (expected value) $1.2 trillion
Median (50th percentile) $1.2 trillion
Standard Deviation $134 billion
90% Range (5th-95th percentile) [$1 trillion, $1.44 trillion]

The histogram shows the distribution of Category 4: System Inefficiency across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Category 4: System Inefficiency

Probability of Exceeding Threshold: Category 4: System Inefficiency

This exceedance probability chart shows the likelihood that Category 4: System Inefficiency will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

US Waste (% GDP): 17%

US government waste as percentage of GDP. ~$4.90T waste / $28.78T GDP = ~17%. This represents the ‘dysfunction tax’ that American citizens effectively pay through inefficient governance.

Inputs:

\[ \begin{gathered} W_{US,\%GDP} \\ = \frac{W_{total,US}}{GDP_{US}} \\ = \frac{\$4.9T}{\$28.8T} \\ = 17\% \end{gathered} \] where: \[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for US Waste (% GDP)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Government Waste (Total) (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: US Waste (% GDP) (10,000 simulations)

Monte Carlo Distribution: US Waste (% GDP) (10,000 simulations)

Simulation Results Summary: US Waste (% GDP)

Statistic Value
Baseline (deterministic) 17%
Mean (expected value) 17%
Median (50th percentile) 16.9%
Standard Deviation 1.31%
90% Range (5th-95th percentile) [14.9%, 19.2%]

The histogram shows the distribution of US Waste (% GDP) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: US Waste (% GDP)

Probability of Exceeding Threshold: US Waste (% GDP)

This exceedance probability chart shows the likelihood that US Waste (% GDP) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

US Waste (QALY Equivalents): 49 million QALYs

US government waste expressed as QALY equivalents. This is an economic equivalent, NOT epidemiological health outcomes. Dividing by QALY threshold yields a measure of foregone welfare.

Inputs:

\[ \begin{gathered} W_{US,QALY} \\ = \frac{W_{total,US}}{QALY_{threshold}} \\ = \frac{\$4.9T}{\$100K} \\ = 49M \end{gathered} \] where: \[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for US Waste (QALY Equivalents)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Government Waste (Total) (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: US Waste (QALY Equivalents) (10,000 simulations)

Monte Carlo Distribution: US Waste (QALY Equivalents) (10,000 simulations)

Simulation Results Summary: US Waste (QALY Equivalents)

Statistic Value
Baseline (deterministic) 49 million
Mean (expected value) 48.9 million
Median (50th percentile) 48.8 million
Standard Deviation 3.77 million
90% Range (5th-95th percentile) [43 million, 55.4 million]

The histogram shows the distribution of US Waste (QALY Equivalents) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: US Waste (QALY Equivalents)

Probability of Exceeding Threshold: US Waste (QALY Equivalents)

This exceedance probability chart shows the likelihood that US Waste (QALY Equivalents) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

US Gov Waste (Raw Total): $4.9 trillion

Raw sum of US government waste components before overlap discount: healthcare ($1.2T) + housing ($1.4T) + military ($615B) + regulatory ($580B) + tax ($546B) + corporate ($181B) + tariffs ($160B) + drug war ($90B) + fossil fuel ($50B) + agriculture ($75B) = ~$4.9T raw.

Inputs:

\[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for US Gov Waste (Raw Total)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Housing/Zoning Restrictions Cost (USD) 0.7539 Strong driver
Regulatory Red Tape Waste (USD) 0.4796 Moderate driver
Healthcare System Inefficiency (USD) 0.3563 Moderate driver
Military Overspend (USD) 0.1822 Weak driver
Tax Compliance Waste (USD) 0.1279 Weak driver
Tariff Cost (GDP Loss) (USD) 0.1191 Weak driver
Drug War Cost (USD) 0.0676 Minimal effect
Agricultural Subsidies Deadweight Loss (USD) 0.0556 Minimal effect
Corporate Welfare Waste (USD) 0.0494 Minimal effect
Fossil Fuel Subsidies (Explicit) (USD) 0.0355 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: US Gov Waste (Raw Total) (10,000 simulations)

Monte Carlo Distribution: US Gov Waste (Raw Total) (10,000 simulations)

Simulation Results Summary: US Gov Waste (Raw Total)

Statistic Value
Baseline (deterministic) $4.9 trillion
Mean (expected value) $4.89 trillion
Median (50th percentile) $4.88 trillion
Standard Deviation $377 billion
90% Range (5th-95th percentile) [$4.3 trillion, $5.54 trillion]

The histogram shows the distribution of US Gov Waste (Raw Total) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: US Gov Waste (Raw Total)

Probability of Exceeding Threshold: US Gov Waste (Raw Total)

This exceedance probability chart shows the likelihood that US Gov Waste (Raw Total) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Recoverable Capital: $2.45 trillion

Recoverable capital if US improved to OECD median efficiency. Current US efficiency ~38-48%; OECD median ~75-85%. Closing to ~80% would recover approximately half the gap.

Inputs:

\[ \begin{gathered} W_{US,recoverable} \\ = W_{total,US} \times 0.5 \\ = \$4.9T \times 0.5 \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Recoverable Capital

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Government Waste (Total) (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Recoverable Capital (10,000 simulations)

Monte Carlo Distribution: Recoverable Capital (10,000 simulations)

Simulation Results Summary: Recoverable Capital

Statistic Value
Baseline (deterministic) $2.45 trillion
Mean (expected value) $2.45 trillion
Median (50th percentile) $2.44 trillion
Standard Deviation $189 billion
90% Range (5th-95th percentile) [$2.15 trillion, $2.77 trillion]

The histogram shows the distribution of Recoverable Capital across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Recoverable Capital

Probability of Exceeding Threshold: Recoverable Capital

This exceedance probability chart shows the likelihood that Recoverable Capital will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

US Government Waste (Total): $4.9 trillion

Total annual US government waste (additive sum of components). Consolidates healthcare ($1.2T), housing ($1.4T), military ($615B), regulatory ($580B), tax ($546B), corporate ($181B), tariffs ($160B), drug war ($90B), fossil fuel ($50B), agriculture ($75B). Categories treated as additive; any overlap offset by excluded categories (state/local inefficiency, implicit subsidies, behavioral effects). ~$4.9T annually.

Inputs:

\[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for US Government Waste (Total)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Gov Waste (Raw Total) (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: US Government Waste (Total) (10,000 simulations)

Monte Carlo Distribution: US Government Waste (Total) (10,000 simulations)

Simulation Results Summary: US Government Waste (Total)

Statistic Value
Baseline (deterministic) $4.9 trillion
Mean (expected value) $4.89 trillion
Median (50th percentile) $4.88 trillion
Standard Deviation $377 billion
90% Range (5th-95th percentile) [$4.3 trillion, $5.54 trillion]

The histogram shows the distribution of US Government Waste (Total) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: US Government Waste (Total)

Probability of Exceeding Threshold: US Government Waste (Total)

This exceedance probability chart shows the likelihood that US Government Waste (Total) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

US Waste (VSL Equivalents): 357 thousand people

US government waste expressed as VSL equivalents. This is an economic equivalent, NOT literal deaths. Dividing the efficiency gap by VSL yields a measure of foregone welfare.

Inputs:

\[ \begin{gathered} W_{US,VSL} \\ = \frac{W_{total,US}}{VSL_{DOT}} \\ = \frac{\$4.9T}{\$13.7M} \\ = 357{,}000 \end{gathered} \] where: \[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for US Waste (VSL Equivalents)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Government Waste (Total) (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: US Waste (VSL Equivalents) (10,000 simulations)

Monte Carlo Distribution: US Waste (VSL Equivalents) (10,000 simulations)

Simulation Results Summary: US Waste (VSL Equivalents)

Statistic Value
Baseline (deterministic) 357 thousand
Mean (expected value) 357 thousand
Median (50th percentile) 356 thousand
Standard Deviation 27,547
90% Range (5th-95th percentile) [314 thousand, 404 thousand]

The histogram shows the distribution of US Waste (VSL Equivalents) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: US Waste (VSL Equivalents)

Probability of Exceeding Threshold: US Waste (VSL Equivalents)

This exceedance probability chart shows the likelihood that US Waste (VSL Equivalents) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Efficiency Gap / Treaty Funding: 180:1

How many times the US government efficiency gap could fund the 1% Treaty. The efficiency gap represents capital that could fund transformative health research many times over.

Inputs:

\[ \begin{gathered} k_{waste:treaty} \\ = \frac{W_{total,US}}{Funding_{treaty}} \\ = \frac{\$4.9T}{\$27.2B} \\ = 180 \end{gathered} \] where: \[ \begin{gathered} W_{total,US} \\ = W_{raw,US} \times \delta_{overlap} \\ = \$4.9T \times 1 \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} W_{raw,US} \\ = W_{health} + W_{housing} + W_{military} + W_{regulatory} \\ + W_{tax} + W_{corporate} + W_{tariffs} + W_{drugs} \\ + W_{fossil} + W_{agriculture} \\ = \$1.2T + \$1.4T + \$615B + \$580B + \$546B + \$181B + \$160B \\ + \$90B + \$50B + \$75B \\ = \$4.9T \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] ~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Efficiency Gap / Treaty Funding

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Government Waste (Total) (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Efficiency Gap / Treaty Funding (10,000 simulations)

Monte Carlo Distribution: Efficiency Gap / Treaty Funding (10,000 simulations)

Simulation Results Summary: Efficiency Gap / Treaty Funding

Statistic Value
Baseline (deterministic) 180:1
Mean (expected value) 180:1
Median (50th percentile) 179:1
Standard Deviation 13.9:1
90% Range (5th-95th percentile) [158:1, 204:1]

The histogram shows the distribution of Efficiency Gap / Treaty Funding across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Efficiency Gap / Treaty Funding

Probability of Exceeding Threshold: Efficiency Gap / Treaty Funding

This exceedance probability chart shows the likelihood that Efficiency Gap / Treaty Funding will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Current US Military Spending vs Pre-WW2 Baseline (Multiplier): 30.6x

Ratio of current US military spending to pre-WW2 baseline in constant dollars ($886B / $29B)

Inputs:

\[ \begin{gathered} Ratio_{US,2024:1939} \\ = \frac{Spending_{US,2024}}{Spending_{US,1939}} \\ = \frac{\$886B}{\$29B} \\ = 30.6 \end{gathered} \]

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Current US Military Spending vs Pre-WW2 Baseline (Multiplier) is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 3.055e-11)

Statistic Value
Baseline (deterministic) 30.6x
Mean (expected value) 30.6x
Median (50th percentile) 30.6x
Standard Deviation 7.11e-15x
90% Range (5th-95th percentile) [30.6x, 30.6x]

Exceedance Probability

Exceedance note: Current US Military Spending vs Pre-WW2 Baseline (Multiplier) collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 3.055e-11)

Approximate deterministic value: 30.6x

US Political Reform Investment (Total): $25.5 billion

Total upper-bound investment for US political reform: (campaign spending + 2 years lobbying) × effort multiplier + Congress career advocacy. Represents cost to achieve democratic parity with incumbent interests.

Inputs:

\[ \begin{gathered} Cost_{US,total} \\ = (Cost_{campaign} \\ + Cost_{lobby} \times 2) \times \mu_{effort} + Cost_{career} \end{gathered} \]

? Low confidence

Sensitivity Analysis

Sensitivity Indices for US Political Reform Investment (Total)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Political Effort Multiplier (US) (multiplier) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: US Political Reform Investment (Total) (10,000 simulations)

Monte Carlo Distribution: US Political Reform Investment (Total) (10,000 simulations)

Simulation Results Summary: US Political Reform Investment (Total)

Statistic Value
Baseline (deterministic) $25.5 billion
Mean (expected value) $25.5 billion
Median (50th percentile) $24.8 billion
Standard Deviation $5.52 billion
90% Range (5th-95th percentile) [$17.5 billion, $36.3 billion]

The histogram shows the distribution of US Political Reform Investment (Total) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: US Political Reform Investment (Total)

Probability of Exceeding Threshold: US Political Reform Investment (Total)

This exceedance probability chart shows the likelihood that US Political Reform Investment (Total) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Expected Value of a Vote (US): $0.000338

Expected monetary value of a single vote in a US presidential election. Calculated as the probability of being decisive (1 in 60M) times federal spending per capita (~$20,300). Represents the expected influence over government resource allocation from casting one vote.

Inputs:

\[ \begin{gathered} EV_{vote} \\ = P_{decisive} \times Spend_{fed,pc} \\ = 1\text{ in }60M \times \$20.3K \\ = \$0.000338 \end{gathered} \] where: \[ \begin{gathered} Spend_{fed,pc} \\ = \frac{Spending_{US,fed}}{Pop_{US}} \\ = \frac{\$6.8T}{335M} \\ = \$20.3K \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Expected Value of a Vote (US)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
US Federal Spending per Capita (USD/person) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Expected Value of a Vote (US) (10,000 simulations)

Monte Carlo Distribution: Expected Value of a Vote (US) (10,000 simulations)

Simulation Results Summary: Expected Value of a Vote (US)

Statistic Value
Baseline (deterministic) $0.000338
Mean (expected value) $0.000338
Median (50th percentile) $0.000338
Standard Deviation $2.44e-06
90% Range (5th-95th percentile) [$0.000334, $0.000343]

The histogram shows the distribution of Expected Value of a Vote (US) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Expected Value of a Vote (US)

Probability of Exceeding Threshold: Expected Value of a Vote (US)

This exceedance probability chart shows the likelihood that Expected Value of a Vote (US) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual VICTORY Incentive Alignment Bond Payout: $2.72 billion

Annual VICTORY Incentive Alignment Bond payout (treaty funding × bond percentage)

Inputs:

\[ \begin{gathered} Payout_{bond,ann} \\ = Funding_{treaty} \times Pct_{bond} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] ✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Annual VICTORY Incentive Alignment Bond Payout is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 2.720e-03)

Statistic Value
Baseline (deterministic) $2.72 billion
Mean (expected value) $2.72 billion
Median (50th percentile) $2.72 billion
Standard Deviation $0
90% Range (5th-95th percentile) [$2.72 billion, $2.72 billion]

Exceedance Probability

Exceedance note: Annual VICTORY Incentive Alignment Bond Payout collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 2.720e-03)

Approximate deterministic value: $2.72 billion

Annual Return Percentage for VICTORY Incentive Alignment Bondholders: 272%

Annual return percentage for VICTORY Incentive Alignment Bondholders

Inputs:

\[ \begin{gathered} r_{bond} \\ = \frac{Payout_{bond,ann}}{Cost_{campaign}} \\ = \frac{\$2.72B}{\$1B} \\ = 272\% \end{gathered} \] where: \[ \begin{gathered} Payout_{bond,ann} \\ = Funding_{treaty} \times Pct_{bond} \\ = \$27.2B \times 10\% \\ = \$2.72B \end{gathered} \] where: \[ \begin{gathered} Funding_{treaty} \\ = Spending_{mil} \times Reduce_{treaty} \\ = \$2.72T \times 1\% \\ = \$27.2B \end{gathered} \] where: \[ \begin{gathered} Cost_{campaign} \\ = Budget_{viral,base} + Budget_{lobby,treaty} \\ + Budget_{reserve} \\ = \$250M + \$650M + \$100M \\ = \$1B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual Return Percentage for VICTORY Incentive Alignment Bondholders

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total 1% Treaty Campaign Cost (USD) -0.9466 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Return Percentage for VICTORY Incentive Alignment Bondholders (10,000 simulations)

Monte Carlo Distribution: Annual Return Percentage for VICTORY Incentive Alignment Bondholders (10,000 simulations)

Simulation Results Summary: Annual Return Percentage for VICTORY Incentive Alignment Bondholders

Statistic Value
Baseline (deterministic) 272%
Mean (expected value) 288%
Median (50th percentile) 285%
Standard Deviation 66.8%
90% Range (5th-95th percentile) [184%, 405%]

The histogram shows the distribution of Annual Return Percentage for VICTORY Incentive Alignment Bondholders across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Return Percentage for VICTORY Incentive Alignment Bondholders

Probability of Exceeding Threshold: Annual Return Percentage for VICTORY Incentive Alignment Bondholders

This exceedance probability chart shows the likelihood that Annual Return Percentage for VICTORY Incentive Alignment Bondholders will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Lives Saved per Verified Voter: 2.6 lives

Average lives saved per verified voter if the treaty passes (total lives saved divided by the majority-of-humanity coordination target).

Inputs:

\[ \begin{gathered} Lives_{voter} \\ = \frac{Lives_{max}}{N_{voters,global}} \\ = \frac{10.7B}{4.13B} \\ = 2.6 \end{gathered} \] where: \[ \begin{gathered} Lives_{max} \\ = Deaths_{disease,daily} \times T_{accel,max} \times 338 \\ = 150{,}000 \times 212 \times 338 \\ = 10.7B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Lives Saved per Verified Voter

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Lives Saved from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (deaths) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Lives Saved per Verified Voter (10,000 simulations)

Monte Carlo Distribution: Lives Saved per Verified Voter (10,000 simulations)

Simulation Results Summary: Lives Saved per Verified Voter

Statistic Value
Baseline (deterministic) 2.6
Mean (expected value) 2.94
Median (50th percentile) 2.78
Standard Deviation 1.04
90% Range (5th-95th percentile) [1.51, 4.92]

The histogram shows the distribution of Lives Saved per Verified Voter across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Lives Saved per Verified Voter

Probability of Exceeding Threshold: Lives Saved per Verified Voter

This exceedance probability chart shows the likelihood that Lives Saved per Verified Voter will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Suffering Hours Prevented per Verified Voter: 468 thousand hours

Average suffering hours prevented per verified voter if the treaty passes (total suffering hours divided by the majority-of-humanity coordination target).

Inputs:

\[ \begin{gathered} Hours_{suffer,voter} \\ = \frac{Hours_{suffer,max}}{N_{voters,global}} \\ = \frac{1930T}{4.13B} \\ = 468{,}000 \end{gathered} \] where: \[ \begin{gathered} Hours_{suffer,max} \\ = DALYs_{max} \times Pct_{YLD} \times 8760 \\ = 565B \times 0.39 \times 8760 \\ = 1930T \end{gathered} \] where: \[ \begin{gathered} DALYs_{max} \\ = DALYs_{global,ann} \times Pct_{avoid,DALY} \times T_{accel,max} \\ = 2.88B \times 92.6\% \times 212 \\ = 565B \end{gathered} \] where: \[ T_{accel,max} = T_{accel} + T_{lag} = 204 + 8.2 = 212 \] where: \[ \begin{gathered} T_{accel} \\ = T_{first,SQ} \times \left(1 - \frac{1}{k_{capacity}}\right) \\ = 222 \times \left(1 - \frac{1}{12.3}\right) \\ = 204 \end{gathered} \] where: \[ \begin{gathered} T_{first,SQ} \\ = T_{queue,SQ} \times 0.5 \\ = 443 \times 0.5 \\ = 222 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Suffering Hours Prevented per Verified Voter

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Suffering Hours Eliminated from Elimination of Efficacy Lag Plus Earlier Treatment Discovery from Higher Trial Throughput (hours) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Suffering Hours Prevented per Verified Voter (10,000 simulations)

Monte Carlo Distribution: Suffering Hours Prevented per Verified Voter (10,000 simulations)

Simulation Results Summary: Suffering Hours Prevented per Verified Voter

Statistic Value
Baseline (deterministic) 468 thousand
Mean (expected value) 525 thousand
Median (50th percentile) 493 thousand
Standard Deviation 201 thousand
90% Range (5th-95th percentile) [251 thousand, 907 thousand]

The histogram shows the distribution of Suffering Hours Prevented per Verified Voter across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Suffering Hours Prevented per Verified Voter

Probability of Exceeding Threshold: Suffering Hours Prevented per Verified Voter

This exceedance probability chart shows the likelihood that Suffering Hours Prevented per Verified Voter will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Children Killed in Wars Since 1900: 102 million deaths

Estimated children under 18 killed in wars, conflicts, genocides, and policy-induced famines since 1900

Inputs:

\[ \begin{gathered} Deaths_{war,child} \\ = Deaths_{war,1900} \times Pct_{war,child} \\ = 310M \times 33\% \\ = 102M \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Children Killed in Wars Since 1900

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total War and Conflict Deaths Since 1900 (deaths) 0.7441 Strong driver
Child Share of War Deaths Since 1900 (rate) 0.6552 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Children Killed in Wars Since 1900 (10,000 simulations)

Monte Carlo Distribution: Children Killed in Wars Since 1900 (10,000 simulations)

Simulation Results Summary: Children Killed in Wars Since 1900

Statistic Value
Baseline (deterministic) 102 million
Mean (expected value) 87.9 million
Median (50th percentile) 86.4 million
Standard Deviation 17.8 million
90% Range (5th-95th percentile) [60.2 million, 120 million]

The histogram shows the distribution of Children Killed in Wars Since 1900 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Children Killed in Wars Since 1900

Probability of Exceeding Threshold: Children Killed in Wars Since 1900

This exceedance probability chart shows the likelihood that Children Killed in Wars Since 1900 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Cumulative War Costs over 20 Years (Current Trajectory): $227 trillion

Cumulative global war costs over 20 years if current spending levels continue. The price tag of the status quo trajectory.

Inputs:

\[ \begin{gathered} Cost_{war,20yr} \\ = Cost_{war,total} \times 20 \\ = \$11.4T \times 20 \\ = \$227T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Cumulative War Costs over 20 Years (Current Trajectory)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Annual Cost of War Worldwide (USD/year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Cumulative War Costs over 20 Years (Current Trajectory) (10,000 simulations)

Monte Carlo Distribution: Cumulative War Costs over 20 Years (Current Trajectory) (10,000 simulations)

Simulation Results Summary: Cumulative War Costs over 20 Years (Current Trajectory)

Statistic Value
Baseline (deterministic) $227 trillion
Mean (expected value) $226 trillion
Median (50th percentile) $225 trillion
Standard Deviation $17.5 trillion
90% Range (5th-95th percentile) [$199 trillion, $257 trillion]

The histogram shows the distribution of Cumulative War Costs over 20 Years (Current Trajectory) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Cumulative War Costs over 20 Years (Current Trajectory)

Probability of Exceeding Threshold: Cumulative War Costs over 20 Years (Current Trajectory)

This exceedance probability chart shows the likelihood that Cumulative War Costs over 20 Years (Current Trajectory) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

GDP per Capita in Peace Timeline: $333,636

Counterfactual global GDP per capita if all wars abolished since 1900. Actual is $14,375. Mid-range counterfactual: $333,636 (23.2x richer). 8 non-overlapping channels at +2.6pp.

Inputs:

\[ \begin{gathered} GDP_{pc,peace} \\ = GDP_{pc,1900} \times \left(1 + \left(\frac{\bar{y}_{0}}{GDP_{pc,1900}}\right)^{1/124} - 1 + g_{war,penalty}\right)^{124} \\[0.5em] = \$3.15K \times \left(1 + \left(\frac{\$14.4K}{\$3.15K}\right)^{1/124} - 1 + 2.6\%\right)^{124} \\[0.5em] = \$334K \end{gathered} \]

? Low confidence

Sensitivity Analysis

Sensitivity Indices for GDP per Capita in Peace Timeline

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Peace Growth Boost (8 Channels, Overlap-Corrected) (percentage points) 0.9620 Strong driver
Global Average Income (2025 Baseline) (USD) 0.0171 Minimal effect
Global GDP per Capita in 1900 (USD/person) 0.0088 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: GDP per Capita in Peace Timeline (10,000 simulations)

Monte Carlo Distribution: GDP per Capita in Peace Timeline (10,000 simulations)

Simulation Results Summary: GDP per Capita in Peace Timeline

Statistic Value
Baseline (deterministic) $333,636
Mean (expected value) $406,710
Median (50th percentile) $329,582
Standard Deviation $256,532
90% Range (5th-95th percentile) [$120,624, $921,185]

The histogram shows the distribution of GDP per Capita in Peace Timeline across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: GDP per Capita in Peace Timeline

Probability of Exceeding Threshold: GDP per Capita in Peace Timeline

This exceedance probability chart shows the likelihood that GDP per Capita in Peace Timeline will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Peace Income Multiple (How Much Richer Without War): 23.2x

How many times richer the average person would be if wars had been abolished in 1900. Counterfactual GDP per capita / actual GDP per capita.

Inputs:

\[ \begin{gathered} M_{war,income} \\ = \frac{GDP_{pc,peace}}{\bar{y}_{0}} \\ = \frac{\$334K}{\$14.4K} \\ = 23.2 \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,peace} \\ = GDP_{pc,1900} \times \left(1 + \left(\frac{\bar{y}_{0}}{GDP_{pc,1900}}\right)^{1/124} - 1 + g_{war,penalty}\right)^{124} \\[0.5em] = \$3.15K \times \left(1 + \left(\frac{\$14.4K}{\$3.15K}\right)^{1/124} - 1 + 2.6\%\right)^{124} \\[0.5em] = \$334K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Peace Income Multiple (How Much Richer Without War)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
GDP per Capita in Peace Timeline (USD/person) 1.0000 Strong driver
Global Average Income (2025 Baseline) (USD) -0.0192 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Peace Income Multiple (How Much Richer Without War) (10,000 simulations)

Monte Carlo Distribution: Peace Income Multiple (How Much Richer Without War) (10,000 simulations)

Simulation Results Summary: Peace Income Multiple (How Much Richer Without War)

Statistic Value
Baseline (deterministic) 23.2x
Mean (expected value) 28.3x
Median (50th percentile) 22.9x
Standard Deviation 17.8x
90% Range (5th-95th percentile) [8.4x, 64x]

The histogram shows the distribution of Peace Income Multiple (How Much Richer Without War) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Peace Income Multiple (How Much Richer Without War)

Probability of Exceeding Threshold: Peace Income Multiple (How Much Richer Without War)

This exceedance probability chart shows the likelihood that Peace Income Multiple (How Much Richer Without War) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Lost GDP Global from War: $2.55 quadrillion

Total annual global GDP lost to compound war effects since 1900. Lost GDP per capita × 8 billion people.

Inputs:

\[ \begin{gathered} GDP_{lost,total} \\ = GDP_{pc,lost} \times Pop_{global} \\ = \$319K \times 8B \\ = \$2550T \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,lost} \\ = GDP_{pc,peace} - \bar{y}_{0} \\ = \$334K - \$14.4K \\ = \$319K \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,peace} \\ = GDP_{pc,1900} \times \left(1 + \left(\frac{\bar{y}_{0}}{GDP_{pc,1900}}\right)^{1/124} - 1 + g_{war,penalty}\right)^{124} \\[0.5em] = \$3.15K \times \left(1 + \left(\frac{\$14.4K}{\$3.15K}\right)^{1/124} - 1 + 2.6\%\right)^{124} \\[0.5em] = \$334K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Annual Lost GDP Global from War

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Lost GDP per Capita from War (USD/person/year) 1.0000 Strong driver
Global Population in 2024 (of people) 0.0185 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Lost GDP Global from War (10,000 simulations)

Monte Carlo Distribution: Annual Lost GDP Global from War (10,000 simulations)

Simulation Results Summary: Annual Lost GDP Global from War

Statistic Value
Baseline (deterministic) $2.55 quadrillion
Mean (expected value) $3.14 quadrillion
Median (50th percentile) $2.52 quadrillion
Standard Deviation $2.05 quadrillion
90% Range (5th-95th percentile) [$851 trillion, $7.24 quadrillion]

The histogram shows the distribution of Annual Lost GDP Global from War across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Lost GDP Global from War

Probability of Exceeding Threshold: Annual Lost GDP Global from War

This exceedance probability chart shows the likelihood that Annual Lost GDP Global from War will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Annual Lost GDP per Capita from War: $319,261

Annual GDP per capita lost due to compound war effects since 1900

Inputs:

\[ \begin{gathered} GDP_{pc,lost} \\ = GDP_{pc,peace} - \bar{y}_{0} \\ = \$334K - \$14.4K \\ = \$319K \end{gathered} \] where: \[ \begin{gathered} GDP_{pc,peace} \\ = GDP_{pc,1900} \times \left(1 + \left(\frac{\bar{y}_{0}}{GDP_{pc,1900}}\right)^{1/124} - 1 + g_{war,penalty}\right)^{124} \\[0.5em] = \$3.15K \times \left(1 + \left(\frac{\$14.4K}{\$3.15K}\right)^{1/124} - 1 + 2.6\%\right)^{124} \\[0.5em] = \$334K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Annual Lost GDP per Capita from War

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
GDP per Capita in Peace Timeline (USD/person) 1.0000 Strong driver
Global Average Income (2025 Baseline) (USD) -0.0007 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Annual Lost GDP per Capita from War (10,000 simulations)

Monte Carlo Distribution: Annual Lost GDP per Capita from War (10,000 simulations)

Simulation Results Summary: Annual Lost GDP per Capita from War

Statistic Value
Baseline (deterministic) $319,261
Mean (expected value) $392,333
Median (50th percentile) $315,224
Standard Deviation $256,529
90% Range (5th-95th percentile) [$106,333, $906,864]

The histogram shows the distribution of Annual Lost GDP per Capita from War across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Annual Lost GDP per Capita from War

Probability of Exceeding Threshold: Annual Lost GDP per Capita from War

This exceedance probability chart shows the likelihood that Annual Lost GDP per Capita from War will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Life-Years Lost to War Since 1900: 8.37 billion life-years

Total life-years stolen by war since 1900 (deaths x avg years lost per death)

Inputs:

\[ \begin{gathered} YLL_{war,total} \\ = Deaths_{war,1900} \times YLL_{war} \\ = 310M \times 27 \\ = 8.37B \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Total Life-Years Lost to War Since 1900

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Average Years of Life Lost per War Death (years) 0.7138 Strong driver
Total War and Conflict Deaths Since 1900 (deaths) 0.6835 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Life-Years Lost to War Since 1900 (10,000 simulations)

Monte Carlo Distribution: Total Life-Years Lost to War Since 1900 (10,000 simulations)

Simulation Results Summary: Total Life-Years Lost to War Since 1900

Statistic Value
Baseline (deterministic) 8.37 billion
Mean (expected value) 7.42 billion
Median (50th percentile) 7.26 billion
Standard Deviation 1.64 billion
90% Range (5th-95th percentile) [4.92 billion, 10.4 billion]

The histogram shows the distribution of Total Life-Years Lost to War Since 1900 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Life-Years Lost to War Since 1900

Probability of Exceeding Threshold: Total Life-Years Lost to War Since 1900

This exceedance probability chart shows the likelihood that Total Life-Years Lost to War Since 1900 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War Medical Toolchain Prize Overpay Multiple: 341x

How many times larger the prosecutor’s medical-toolchain prize reserve is than the observed anchor costs listed here.

Inputs:

\[ \begin{gathered} m_{tool,overpay} \\ = \frac{C_{tool,prize}}{C_{tool,anchors}} \\ = \frac{\$20T}{\$58.6B} \\ = 341 \end{gathered} \] where: \[ \begin{gathered} C_{tool,anchors} \\ = C_{tool,HGP} + C_{tool,CRISPR} + C_{tool,BRAIN} \\ + C_{tool,PCORnet} + C_{tool,EHR} + C_{tool,OWS} \\ = \$2.7B + \$3.1B + \$4.5B + \$325M + \$30B + \$18B \\ = \$58.6B \end{gathered} \] ? Low confidence

Sensitivity Analysis

Monte Carlo Distribution

Monte Carlo note: War Medical Toolchain Prize Overpay Multiple is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 3.412e-10)

Statistic Value
Baseline (deterministic) 341x
Mean (expected value) 341x
Median (50th percentile) 341x
Standard Deviation 0x
90% Range (5th-95th percentile) [341x, 341x]

Exceedance Probability

Exceedance note: War Medical Toolchain Prize Overpay Multiple collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 3.412e-10)

Approximate deterministic value: 341x

QALY Value of Life Lost to War Since 1900: $1.26 quadrillion

Economic value of life-years destroyed by war since 1900, at $150K/QALY

Inputs:

\[ \begin{gathered} V_{war,QALY} \\ = YLL_{war,total} \times Value_{QALY} \\ = 8.37B \times \$150K \\ = \$1260T \end{gathered} \] where: \[ \begin{gathered} YLL_{war,total} \\ = Deaths_{war,1900} \times YLL_{war} \\ = 310M \times 27 \\ = 8.37B \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for QALY Value of Life Lost to War Since 1900

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Total Life-Years Lost to War Since 1900 (life-years) 0.7591 Strong driver
Standard Economic Value per QALY (USD/QALY) 0.6258 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: QALY Value of Life Lost to War Since 1900 (10,000 simulations)

Monte Carlo Distribution: QALY Value of Life Lost to War Since 1900 (10,000 simulations)

Simulation Results Summary: QALY Value of Life Lost to War Since 1900

Statistic Value
Baseline (deterministic) $1.26 quadrillion
Mean (expected value) $1.11 quadrillion
Median (50th percentile) $1.07 quadrillion
Standard Deviation $324 trillion
90% Range (5th-95th percentile) [$644 trillion, $1.71 quadrillion]

The histogram shows the distribution of QALY Value of Life Lost to War Since 1900 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: QALY Value of Life Lost to War Since 1900

Probability of Exceeding Threshold: QALY Value of Life Lost to War Since 1900

This exceedance probability chart shows the likelihood that QALY Value of Life Lost to War Since 1900 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Total Historical Cost of War Since 1900: $1.48 quadrillion

Total historical sunk cost of war since 1900: military spending ($170T) + property destruction ($45T) + environmental ($5T) + QALY value of lives ($1.26Q).

Inputs:

\[ \begin{gathered} C_{war,hist} \\ = Spending_{mil,cum,fed} + D_{property} + D_{env} \\ + V_{war,QALY} \\ = \$170T + \$45T + \$5T + \$1260T \\ = \$1480T \end{gathered} \] where: \[ \begin{gathered} V_{war,QALY} \\ = YLL_{war,total} \times Value_{QALY} \\ = 8.37B \times \$150K \\ = \$1260T \end{gathered} \] where: \[ \begin{gathered} YLL_{war,total} \\ = Deaths_{war,1900} \times YLL_{war} \\ = 310M \times 27 \\ = 8.37B \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Total Historical Cost of War Since 1900

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
QALY Value of Life Lost to War Since 1900 (USD) 0.9990 Strong driver
Cumulative Property Destruction from War Since 1900 (USD) 0.0267 Minimal effect
Cumulative Environmental Destruction from War Since 1900 (USD) 0.0058 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Total Historical Cost of War Since 1900 (10,000 simulations)

Monte Carlo Distribution: Total Historical Cost of War Since 1900 (10,000 simulations)

Simulation Results Summary: Total Historical Cost of War Since 1900

Statistic Value
Baseline (deterministic) $1.48 quadrillion
Mean (expected value) $1.33 quadrillion
Median (50th percentile) $1.29 quadrillion
Standard Deviation $324 trillion
90% Range (5th-95th percentile) [$862 trillion, $1.93 quadrillion]

The histogram shows the distribution of Total Historical Cost of War Since 1900 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Total Historical Cost of War Since 1900

Probability of Exceeding Threshold: Total Historical Cost of War Since 1900

This exceedance probability chart shows the likelihood that Total Historical Cost of War Since 1900 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War-Redirect Biological Aging Control Year: 1990

Counterfactual calendar year when biological aging becomes a treatable risk factor in the aggressive medical-redirect model. Uses the calculated aging pleading cutoff year.

Inputs:

\[ Y_{aging,redirect} = Y_{aging,plead} = 1{,}990 = 1{,}990 \] where: \[ \begin{gathered} Y_{aging,plead} \\ = Y_{disease,plead} + T_{aging,lag} \\ = 1{,}950 + 40 \\ = 1{,}990 \end{gathered} \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War-Redirect Biological Aging Control Year

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War-Redirect Aging Pleading Cutoff Year (year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War-Redirect Biological Aging Control Year (10,000 simulations)

Monte Carlo Distribution: War-Redirect Biological Aging Control Year (10,000 simulations)

Simulation Results Summary: War-Redirect Biological Aging Control Year

Statistic Value
Baseline (deterministic) 1990
Mean (expected value) 1993
Median (50th percentile) 1983
Standard Deviation 32.9
90% Range (5th-95th percentile) [1962, 2060]

The histogram shows the distribution of War-Redirect Biological Aging Control Year across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War-Redirect Biological Aging Control Year

Probability of Exceeding Threshold: War-Redirect Biological Aging Control Year

This exceedance probability chart shows the likelihood that War-Redirect Biological Aging Control Year will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War-Redirect Aging Pleading Cutoff Year: 1990

Aggressive prosecutor pleading cutoff year for presumptive aging-death plaintiffs. Calculated as the disease cutoff plus the geroscience lag assumption.

Inputs:

\[ \begin{gathered} Y_{aging,plead} \\ = Y_{disease,plead} + T_{aging,lag} \\ = 1{,}950 + 40 \\ = 1{,}990 \end{gathered} \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War-Redirect Aging Pleading Cutoff Year

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War-Redirect Disease Pleading Cutoff Year (year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War-Redirect Aging Pleading Cutoff Year (10,000 simulations)

Monte Carlo Distribution: War-Redirect Aging Pleading Cutoff Year (10,000 simulations)

Simulation Results Summary: War-Redirect Aging Pleading Cutoff Year

Statistic Value
Baseline (deterministic) 1990
Mean (expected value) 1993
Median (50th percentile) 1983
Standard Deviation 32.9
90% Range (5th-95th percentile) [1962, 2060]

The histogram shows the distribution of War-Redirect Aging Pleading Cutoff Year across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War-Redirect Aging Pleading Cutoff Year

Probability of Exceeding Threshold: War-Redirect Aging Pleading Cutoff Year

This exceedance probability chart shows the likelihood that War-Redirect Aging Pleading Cutoff Year will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War-Redirect Disease Pleading Cutoff Year: 1950

Aggressive prosecutor pleading cutoff year for presumptive disease-death plaintiffs. Calculated as the 1900 redirect start year plus medical-toolchain bootstrap years plus the treaty-scale therapeutic queue-clearance years.

Inputs:

\[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War-Redirect Disease Pleading Cutoff Year

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Therapeutic Space Exploration Time at Treaty-Scale Trial Capacity (years) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War-Redirect Disease Pleading Cutoff Year (10,000 simulations)

Monte Carlo Distribution: War-Redirect Disease Pleading Cutoff Year (10,000 simulations)

Simulation Results Summary: War-Redirect Disease Pleading Cutoff Year

Statistic Value
Baseline (deterministic) 1950
Mean (expected value) 1953
Median (50th percentile) 1943
Standard Deviation 32.9
90% Range (5th-95th percentile) [1922, 2020]

The histogram shows the distribution of War-Redirect Disease Pleading Cutoff Year across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War-Redirect Disease Pleading Cutoff Year

Probability of Exceeding Threshold: War-Redirect Disease Pleading Cutoff Year

This exceedance probability chart shows the likelihood that War-Redirect Disease Pleading Cutoff Year will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Excess Military Spending Above 1900 Freeze: $135 trillion

Dataset-derived aggregate: cumulative global military spending above a 1900 real-spending freeze, 1900-2024, calculated from knowledge/data/global-military-spending-1900-2024-constant-2023-usd.csv (Correlates of War NMC) as the sum of max(0, annual spending - 1900 baseline) across years. The stricter medical redirect pot, distinct from total cumulative military spending.

Inputs:

\[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \]

Methodology:163

? Low confidence

Sensitivity Analysis

Sensitivity Indices for Excess Military Spending Above 1900 Freeze

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
1900 Military Spending Freeze Baseline (USD/year) -0.9996 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Excess Military Spending Above 1900 Freeze (10,000 simulations)

Monte Carlo Distribution: Excess Military Spending Above 1900 Freeze (10,000 simulations)

Simulation Results Summary: Excess Military Spending Above 1900 Freeze

Statistic Value
Baseline (deterministic) $135 trillion
Mean (expected value) $134 trillion
Median (50th percentile) $134 trillion
Standard Deviation $1.25 trillion
90% Range (5th-95th percentile) [$132 trillion, $136 trillion]

The histogram shows the distribution of Excess Military Spending Above 1900 Freeze across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Excess Military Spending Above 1900 Freeze

Probability of Exceeding Threshold: Excess Military Spending Above 1900 Freeze

This exceedance probability chart shows the likelihood that Excess Military Spending Above 1900 Freeze will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Excess Military Spending Above 1900 Freeze in Clinical Trial Years: 29,937 years

Clinical-trial years funded by military spending above a 1900 real-spending freeze. This is the literal 1900-freeze medical redirect capacity, not total cumulative military spending.

Inputs:

\[ \begin{gathered} Years_{excess1900 \to trials,gov} \\ = \frac{Spending_{mil,excess1900}}{Spending_{trials,gov}} \\ = \frac{\$135T}{\$4.5B} \\ = 29{,}900 \end{gathered} \] where: \[ \begin{gathered} Spending_{mil,excess1900} \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - Spending_{mil,1900}\right) \\ = \sum_{t=1900}^{2024} \max\left(0, Spending_{mil,t} - \$66.1B\right) \\ = \$135T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for Excess Military Spending Above 1900 Freeze in Clinical Trial Years

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Annual Global Government Spending on Clinical Trials (USD) -0.9769 Strong driver
Excess Military Spending Above 1900 Freeze (USD) 0.0468 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Excess Military Spending Above 1900 Freeze in Clinical Trial Years (10,000 simulations)

Monte Carlo Distribution: Excess Military Spending Above 1900 Freeze in Clinical Trial Years (10,000 simulations)

Simulation Results Summary: Excess Military Spending Above 1900 Freeze in Clinical Trial Years

Statistic Value
Baseline (deterministic) 29,937
Mean (expected value) 31,347
Median (50th percentile) 30,689
Standard Deviation 6,210
90% Range (5th-95th percentile) [22,459, 43,917]

The histogram shows the distribution of Excess Military Spending Above 1900 Freeze in Clinical Trial Years across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Excess Military Spending Above 1900 Freeze in Clinical Trial Years

Probability of Exceeding Threshold: Excess Military Spending Above 1900 Freeze in Clinical Trial Years

This exceedance probability chart shows the likelihood that Excess Military Spending Above 1900 Freeze in Clinical Trial Years will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War-Redirect Infectious Disease Control Year: 1950

Counterfactual calendar year for practical infectious-disease control in the aggressive medical-redirect model. Uses the calculated disease pleading cutoff year.

Inputs:

\[ \begin{gathered} Y_{infectious,redirect} \\ = Y_{disease,plead} \\ = 1{,}950 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War-Redirect Infectious Disease Control Year

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War-Redirect Disease Pleading Cutoff Year (year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War-Redirect Infectious Disease Control Year (10,000 simulations)

Monte Carlo Distribution: War-Redirect Infectious Disease Control Year (10,000 simulations)

Simulation Results Summary: War-Redirect Infectious Disease Control Year

Statistic Value
Baseline (deterministic) 1950
Mean (expected value) 1953
Median (50th percentile) 1943
Standard Deviation 32.9
90% Range (5th-95th percentile) [1922, 2020]

The histogram shows the distribution of War-Redirect Infectious Disease Control Year across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War-Redirect Infectious Disease Control Year

Probability of Exceeding Threshold: War-Redirect Infectious Disease Control Year

This exceedance probability chart shows the likelihood that War-Redirect Infectious Disease Control Year will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War Trial Redirect Net Trial Budget After Toolchain Reserve: $150 trillion

Cumulative military spending since the Federal Reserve era after reserving the aggressive prosecutor’s medical-toolchain prize budget.

Inputs:

\[ \begin{gathered} B_{trials,net} \\ = Spending_{mil,cum,fed} - C_{tool,prize} \\ = \$170T - \$20T \\ = \$150T \end{gathered} \]

? Low confidence

Sensitivity Analysis

Monte Carlo Distribution

Monte Carlo note: War Trial Redirect Net Trial Budget After Toolchain Reserve is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.500e+02)

Statistic Value
Baseline (deterministic) $150 trillion
Mean (expected value) $150 trillion
Median (50th percentile) $150 trillion
Standard Deviation $0
90% Range (5th-95th percentile) [$150 trillion, $150 trillion]

Exceedance Probability

Exceedance note: War Trial Redirect Net Trial Budget After Toolchain Reserve collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.500e+02)

Approximate deterministic value: $150 trillion

War-Redirect Major Non-Aging Disease Control Year: 1950

Counterfactual calendar year for practical control of major non-aging disease burden in the aggressive medical-redirect model. Uses the calculated disease pleading cutoff year.

Inputs:

\[ Y_{disease,redirect} = Y_{disease,plead} = 1{,}950 = 1{,}950 \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War-Redirect Major Non-Aging Disease Control Year

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War-Redirect Disease Pleading Cutoff Year (year) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War-Redirect Major Non-Aging Disease Control Year (10,000 simulations)

Monte Carlo Distribution: War-Redirect Major Non-Aging Disease Control Year (10,000 simulations)

Simulation Results Summary: War-Redirect Major Non-Aging Disease Control Year

Statistic Value
Baseline (deterministic) 1950
Mean (expected value) 1953
Median (50th percentile) 1943
Standard Deviation 32.9
90% Range (5th-95th percentile) [1922, 2020]

The histogram shows the distribution of War-Redirect Major Non-Aging Disease Control Year across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War-Redirect Major Non-Aging Disease Control Year

Probability of Exceeding Threshold: War-Redirect Major Non-Aging Disease Control Year

This exceedance probability chart shows the likelihood that War-Redirect Major Non-Aging Disease Control Year will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War Trial Redirect Patient Slots Funded: 161 billion patient-slots

Patient-slots funded by the net redirected war budget at pragmatic trial cost per patient. Patient-slots are repeated experimental opportunities, not unique people.

Inputs:

\[ \begin{gathered} N_{slots,war} \\ = \frac{B_{trials,net}}{Cost_{pragmatic,pt}} \\ = \frac{\$150T}{\$929} \\ = 161B \end{gathered} \] where: \[ \begin{gathered} B_{trials,net} \\ = Spending_{mil,cum,fed} - C_{tool,prize} \\ = \$170T - \$20T \\ = \$150T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War Trial Redirect Patient Slots Funded

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Pragmatic Trial Cost per Patient (USD/patient) -0.6862 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War Trial Redirect Patient Slots Funded (10,000 simulations)

Monte Carlo Distribution: War Trial Redirect Patient Slots Funded (10,000 simulations)

Simulation Results Summary: War Trial Redirect Patient Slots Funded

Statistic Value
Baseline (deterministic) 161 billion
Mean (expected value) 265 billion
Median (50th percentile) 207 billion
Standard Deviation 204 billion
90% Range (5th-95th percentile) [63.6 billion, 647 billion]

The histogram shows the distribution of War Trial Redirect Patient Slots Funded across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War Trial Redirect Patient Slots Funded

Probability of Exceeding Threshold: War Trial Redirect Patient Slots Funded

This exceedance probability chart shows the likelihood that War Trial Redirect Patient Slots Funded will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War Trial Redirect Patient Slots Per Living Human: 20.2 patient-slots/person

Patient-slots funded per living human, used to avoid implying hundreds of billions of unique patients. It means repeated trial opportunities across time and indications.

Inputs:

\[ \begin{gathered} N_{slots,pc} \\ = \frac{N_{slots,war}}{Pop_{global}} \\ = \frac{161B}{8B} \\ = 20.2 \end{gathered} \] where: \[ \begin{gathered} N_{slots,war} \\ = \frac{B_{trials,net}}{Cost_{pragmatic,pt}} \\ = \frac{\$150T}{\$929} \\ = 161B \end{gathered} \] where: \[ \begin{gathered} B_{trials,net} \\ = Spending_{mil,cum,fed} - C_{tool,prize} \\ = \$170T - \$20T \\ = \$150T \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War Trial Redirect Patient Slots Per Living Human

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War Trial Redirect Patient Slots Funded (patient-slots) 0.9999 Strong driver
Global Population in 2024 (of people) -0.0160 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War Trial Redirect Patient Slots Per Living Human (10,000 simulations)

Monte Carlo Distribution: War Trial Redirect Patient Slots Per Living Human (10,000 simulations)

Simulation Results Summary: War Trial Redirect Patient Slots Per Living Human

Statistic Value
Baseline (deterministic) 20.2
Mean (expected value) 33.1
Median (50th percentile) 25.9
Standard Deviation 25.5
90% Range (5th-95th percentile) [7.99, 81.2]

The histogram shows the distribution of War Trial Redirect Patient Slots Per Living Human across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War Trial Redirect Patient Slots Per Living Human

Probability of Exceeding Threshold: War Trial Redirect Patient Slots Per Living Human

This exceedance probability chart shows the likelihood that War Trial Redirect Patient Slots Per Living Human will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War Trial Redirect Post-Cutoff Aging Plaintiffs: 1.78 billion plaintiffs

Aggressive prosecutor aging intake count after the aging cutoff year. This overlaps with the broader disease-death plaintiff class because the annual-deaths parameter covers all disease and aging deaths; it is an intake class, not an additive damages line.

Inputs:

\[ \begin{gathered} N_{plaintiffs,aging} \\ = T_{post,aging} \times Deaths_{curable,ann} \times Pct_{avoid,death} \\ = 35 \times 55M \times 92.6\% \\ = 1.78B \end{gathered} \] where: \[ T_{post,aging} = Y_{plead,end} - Y_{aging,plead} + 1 \] where: \[ \begin{gathered} Y_{aging,plead} \\ = Y_{disease,plead} + T_{aging,lag} \\ = 1{,}950 + 40 \\ = 1{,}990 \end{gathered} \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War Trial Redirect Post-Cutoff Aging Plaintiffs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War Trial Redirect Post-Cutoff Aging Years (years) 0.9771 Strong driver
Eventually Avoidable Death Percentage (percentage) 0.1118 Weak driver
Annual Deaths from All Diseases and Aging Globally (deaths/year) 0.0833 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War Trial Redirect Post-Cutoff Aging Plaintiffs (10,000 simulations)

Monte Carlo Distribution: War Trial Redirect Post-Cutoff Aging Plaintiffs (10,000 simulations)

Simulation Results Summary: War Trial Redirect Post-Cutoff Aging Plaintiffs

Statistic Value
Baseline (deterministic) 1.78 billion
Mean (expected value) 1.59 billion
Median (50th percentile) 2.01 billion
Standard Deviation 1.69 billion
90% Range (5th-95th percentile) [-1.72 billion, 3.41 billion]

The histogram shows the distribution of War Trial Redirect Post-Cutoff Aging Plaintiffs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War Trial Redirect Post-Cutoff Aging Plaintiffs

Probability of Exceeding Threshold: War Trial Redirect Post-Cutoff Aging Plaintiffs

This exceedance probability chart shows the likelihood that War Trial Redirect Post-Cutoff Aging Plaintiffs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War Trial Redirect Post-Cutoff Aging Years: 35 years

Inclusive number of years in the aggressive prosecutor aging-death intake window.

Inputs:

\[ T_{post,aging} = Y_{plead,end} - Y_{aging,plead} + 1 \] where: \[ \begin{gathered} Y_{aging,plead} \\ = Y_{disease,plead} + T_{aging,lag} \\ = 1{,}950 + 40 \\ = 1{,}990 \end{gathered} \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War Trial Redirect Post-Cutoff Aging Years

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War-Redirect Aging Pleading Cutoff Year (year) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War Trial Redirect Post-Cutoff Aging Years (10,000 simulations)

Monte Carlo Distribution: War Trial Redirect Post-Cutoff Aging Years (10,000 simulations)

Simulation Results Summary: War Trial Redirect Post-Cutoff Aging Years

Statistic Value
Baseline (deterministic) 35
Mean (expected value) 31.5
Median (50th percentile) 42
Standard Deviation 32.9
90% Range (5th-95th percentile) [-35, 63]

The histogram shows the distribution of War Trial Redirect Post-Cutoff Aging Years across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War Trial Redirect Post-Cutoff Aging Years

Probability of Exceeding Threshold: War Trial Redirect Post-Cutoff Aging Years

This exceedance probability chart shows the likelihood that War Trial Redirect Post-Cutoff Aging Years will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War Trial Redirect Post-Cutoff Disease DALYs: 200 billion DALYs

Aggressive prosecutor estimate of post-cutoff avoidable disease DALYs. This measures disease-years, disability, and suffering after the disease cutoff, separate from the death-plaintiff VSL count.

Inputs:

\[ \begin{gathered} DALYs_{post,disease} \\ = T_{post,disease} \times DALYs_{global,ann} \times Pct_{avoid,DALY} \\ = 75 \times 2.88B \times 92.6\% \\ = 200B \end{gathered} \] where: \[ T_{post,disease} = Y_{plead,end} - Y_{disease,plead} + 1 \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War Trial Redirect Post-Cutoff Disease DALYs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War Trial Redirect Post-Cutoff Disease Years (years) 0.9529 Strong driver
Eventually Avoidable DALY Percentage (percentage) 0.2429 Weak driver
Global Annual DALY Burden (DALYs/year) 0.1055 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War Trial Redirect Post-Cutoff Disease DALYs (10,000 simulations)

Monte Carlo Distribution: War Trial Redirect Post-Cutoff Disease DALYs (10,000 simulations)

Simulation Results Summary: War Trial Redirect Post-Cutoff Disease DALYs

Statistic Value
Baseline (deterministic) 200 billion
Mean (expected value) 190 billion
Median (50th percentile) 212 billion
Standard Deviation 91.2 billion
90% Range (5th-95th percentile) [13.5 billion, 289 billion]

The histogram shows the distribution of War Trial Redirect Post-Cutoff Disease DALYs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War Trial Redirect Post-Cutoff Disease DALYs

Probability of Exceeding Threshold: War Trial Redirect Post-Cutoff Disease DALYs

This exceedance probability chart shows the likelihood that War Trial Redirect Post-Cutoff Disease DALYs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War Trial Redirect Post-Cutoff Disease Plaintiffs: 3.82 billion plaintiffs

Aggressive prosecutor pleading count for post-cutoff disease-death plaintiffs: inclusive years from the disease cutoff through the pleading end year, multiplied by annual disease deaths and the eventually avoidable death share.

Inputs:

\[ \begin{gathered} N_{plaintiffs,disease} \\ = T_{post,disease} \times Deaths_{curable,ann} \times Pct_{avoid,death} \\ = 75 \times 55M \times 92.6\% \\ = 3.82B \end{gathered} \] where: \[ T_{post,disease} = Y_{plead,end} - Y_{disease,plead} + 1 \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War Trial Redirect Post-Cutoff Disease Plaintiffs

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War Trial Redirect Post-Cutoff Disease Years (years) 0.9377 Strong driver
Eventually Avoidable Death Percentage (percentage) 0.2466 Weak driver
Annual Deaths from All Diseases and Aging Globally (deaths/year) 0.1846 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War Trial Redirect Post-Cutoff Disease Plaintiffs (10,000 simulations)

Monte Carlo Distribution: War Trial Redirect Post-Cutoff Disease Plaintiffs (10,000 simulations)

Simulation Results Summary: War Trial Redirect Post-Cutoff Disease Plaintiffs

Statistic Value
Baseline (deterministic) 3.82 billion
Mean (expected value) 3.61 billion
Median (50th percentile) 4 billion
Standard Deviation 1.76 billion
90% Range (5th-95th percentile) [245 million, 5.68 billion]

The histogram shows the distribution of War Trial Redirect Post-Cutoff Disease Plaintiffs across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War Trial Redirect Post-Cutoff Disease Plaintiffs

Probability of Exceeding Threshold: War Trial Redirect Post-Cutoff Disease Plaintiffs

This exceedance probability chart shows the likelihood that War Trial Redirect Post-Cutoff Disease Plaintiffs will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

War Trial Redirect Post-Cutoff Disease Years: 75 years

Inclusive number of years in the aggressive prosecutor disease-death plaintiff window.

Inputs:

\[ T_{post,disease} = Y_{plead,end} - Y_{disease,plead} + 1 \] where: \[ \begin{gathered} Y_{disease,plead} \\ = Y_{redirect,start} + T_{tool,bootstrap} + T_{queue,trial} \\ = 1{,}900 + 14 + 36 \\ = 1{,}950 \end{gathered} \] where: \[ \begin{gathered} T_{queue,trial} \\ = \frac{T_{queue,SQ}}{k_{capacity}} \\ = \frac{443}{12.3} \\ = 36 \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] ? Low confidence

Sensitivity Analysis

Sensitivity Indices for War Trial Redirect Post-Cutoff Disease Years

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
War-Redirect Disease Pleading Cutoff Year (year) -1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: War Trial Redirect Post-Cutoff Disease Years (10,000 simulations)

Monte Carlo Distribution: War Trial Redirect Post-Cutoff Disease Years (10,000 simulations)

Simulation Results Summary: War Trial Redirect Post-Cutoff Disease Years

Statistic Value
Baseline (deterministic) 75
Mean (expected value) 71.5
Median (50th percentile) 82
Standard Deviation 32.9
90% Range (5th-95th percentile) [5, 103]

The histogram shows the distribution of War Trial Redirect Post-Cutoff Disease Years across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: War Trial Redirect Post-Cutoff Disease Years

Probability of Exceeding Threshold: War Trial Redirect Post-Cutoff Disease Years

This exceedance probability chart shows the likelihood that War Trial Redirect Post-Cutoff Disease Years will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Global Patients Willing to Participate in Clinical Trials: 1.08 billion people

Global chronic disease patients willing to participate in trials (2.4B × 44.8%)

Inputs:

\[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \]

~ Medium confidence

Sensitivity Analysis

Sensitivity Indices for Global Patients Willing to Participate in Clinical Trials

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Global Population with Chronic Diseases (people) 0.8363 Strong driver
Patient Willingness to Participate in Clinical Trials (percentage) 0.5518 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Global Patients Willing to Participate in Clinical Trials (10,000 simulations)

Monte Carlo Distribution: Global Patients Willing to Participate in Clinical Trials (10,000 simulations)

Simulation Results Summary: Global Patients Willing to Participate in Clinical Trials

Statistic Value
Baseline (deterministic) 1.08 billion
Mean (expected value) 1.07 billion
Median (50th percentile) 1.07 billion
Standard Deviation 103 million
90% Range (5th-95th percentile) [911 million, 1.25 billion]

The histogram shows the distribution of Global Patients Willing to Participate in Clinical Trials across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Global Patients Willing to Participate in Clinical Trials

Probability of Exceeding Threshold: Global Patients Willing to Participate in Clinical Trials

This exceedance probability chart shows the likelihood that Global Patients Willing to Participate in Clinical Trials will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Disease Cure Fraction (15yr, Full Implementation): 100%

Wishonia disease-cure fraction over 15 years under full implementation. Uses full trial-capacity scaling and applies an upper bound of 100% of untreated disease classes.

Inputs:

\[ \begin{gathered} f_{cure,15,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{15}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] #### Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Wishonia Disease Cure Fraction (15yr, Full Implementation) is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 100%
Mean (expected value) 100%
Median (50th percentile) 100%
Standard Deviation 0%
90% Range (5th-95th percentile) [100%, 100%]

Exceedance Probability

Exceedance note: Wishonia Disease Cure Fraction (15yr, Full Implementation) collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 100%

Wishonia Disease Cure Fraction (20yr, Full Implementation): 100%

Wishonia disease-cure fraction over 20 years under full implementation. Uses full trial-capacity scaling and applies an upper bound of 100% of untreated disease classes.

Inputs:

\[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] #### Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Wishonia Disease Cure Fraction (20yr, Full Implementation) is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 100%
Mean (expected value) 100%
Median (50th percentile) 100%
Standard Deviation 0%
90% Range (5th-95th percentile) [100%, 100%]

Exceedance Probability

Exceedance note: Wishonia Disease Cure Fraction (20yr, Full Implementation) collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 100%

Wishonia Extra HALE Gain at Year 15: 16.7 years

Additional healthy years at year 15 from optimal-governance public-health improvements plus partial realization of longer-run longevity gains. This removes the implicit cap at today’s life expectancy and lets Wishonia exceed it for non-arbitrary reasons.

Inputs:

\[ \begin{gathered} \Delta HALE_{wish,extra,15} \\ = f_{cure,15,wish} \times (\Delta LE_{best} \\ + T_{extend} \times \rho_{HALE,15}) \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{15}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \Delta LE_{best} \\ = \max\left(LE_{CH}, LE_{SG}\right) - LE_{global} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Extra HALE Gain at Year 15

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Life Extension from Treaty Research Acceleration (years) 0.9613 Strong driver
Best-Practice Life Expectancy Gain (years) 0.2814 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Extra HALE Gain at Year 15 (10,000 simulations)

Monte Carlo Distribution: Wishonia Extra HALE Gain at Year 15 (10,000 simulations)

Simulation Results Summary: Wishonia Extra HALE Gain at Year 15

Statistic Value
Baseline (deterministic) 16.7
Mean (expected value) 16.6
Median (50th percentile) 14.9
Standard Deviation 6.8
90% Range (5th-95th percentile) [10, 29]

The histogram shows the distribution of Wishonia Extra HALE Gain at Year 15 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Extra HALE Gain at Year 15

Probability of Exceeding Threshold: Wishonia Extra HALE Gain at Year 15

This exceedance probability chart shows the likelihood that Wishonia Extra HALE Gain at Year 15 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia HALE Gain at Year 15: 26.8 years

HALE improvement at year 15 under Wishonia Trajectory. It includes closing the current HALE gap, reaching today’s best-practice life expectancy through optimal governance/public health, and a conservative partial realization of longer-run longevity gains.

Inputs:

\[ \begin{gathered} \Delta HALE_{wish,15} \\ = f_{cure,15,wish} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{wish,extra,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{15}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{wish,extra,15} \\ = f_{cure,15,wish} \times (\Delta LE_{best} \\ + T_{extend} \times \rho_{HALE,15}) \end{gathered} \] where: \[ \begin{gathered} \Delta LE_{best} \\ = \max\left(LE_{CH}, LE_{SG}\right) - LE_{global} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia HALE Gain at Year 15

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Extra HALE Gain at Year 15 (years) 1.0181 Strong driver
Global Life Expectancy (2024) (years) 0.2865 Weak driver
Global Healthy Life Expectancy (HALE) (years) -0.2261 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia HALE Gain at Year 15 (10,000 simulations)

Monte Carlo Distribution: Wishonia HALE Gain at Year 15 (10,000 simulations)

Simulation Results Summary: Wishonia HALE Gain at Year 15

Statistic Value
Baseline (deterministic) 26.8
Mean (expected value) 26.7
Median (50th percentile) 24.9
Standard Deviation 6.68
90% Range (5th-95th percentile) [20.6, 39.2]

The histogram shows the distribution of Wishonia HALE Gain at Year 15 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia HALE Gain at Year 15

Probability of Exceeding Threshold: Wishonia HALE Gain at Year 15

This exceedance probability chart shows the likelihood that Wishonia HALE Gain at Year 15 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia HALE Value Per Capita: $4.02 million

Economic value of Wishonia Trajectory HALE gains at year 15 using the standard QALY value.

Inputs:

\[ \begin{gathered} Value_{HALE,wish} \\ = \Delta HALE_{wish,15} \times Value_{QALY} \\ = 26.8 \times \$150K \\ = \$4.02M \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{wish,15} \\ = f_{cure,15,wish} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{wish,extra,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{15}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{wish,extra,15} \\ = f_{cure,15,wish} \times (\Delta LE_{best} \\ + T_{extend} \times \rho_{HALE,15}) \end{gathered} \] where: \[ \begin{gathered} \Delta LE_{best} \\ = \max\left(LE_{CH}, LE_{SG}\right) - LE_{global} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia HALE Value Per Capita

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia HALE Gain at Year 15 (years) 0.7938 Strong driver
Standard Economic Value per QALY (USD/QALY) 0.5729 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia HALE Value Per Capita (10,000 simulations)

Monte Carlo Distribution: Wishonia HALE Value Per Capita (10,000 simulations)

Simulation Results Summary: Wishonia HALE Value Per Capita

Statistic Value
Baseline (deterministic) $4.02 million
Mean (expected value) $4 million
Median (50th percentile) $3.78 million
Standard Deviation $1.27 million
90% Range (5th-95th percentile) [$2.47 million, $6.29 million]

The histogram shows the distribution of Wishonia HALE Value Per Capita across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia HALE Value Per Capita

Probability of Exceeding Threshold: Wishonia HALE Value Per Capita

This exceedance probability chart shows the likelihood that Wishonia HALE Value Per Capita will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Military Reallocation Physical Max Share: 87.6%

Maximum physically demonstrated military reallocation share, anchored to post-WW2 US demobilization.

Inputs:

\[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] ✓ High confidence

Monte Carlo Distribution

Monte Carlo note: Wishonia Military Reallocation Physical Max Share is effectively deterministic across the current sampled inputs, so a histogram would mostly visualize floating-point residue instead of real uncertainty. (range 0.000e+00 <= tolerance 1.000e-12)

Statistic Value
Baseline (deterministic) 87.6%
Mean (expected value) 87.6%
Median (50th percentile) 87.6%
Standard Deviation 0%
90% Range (5th-95th percentile) [87.6%, 87.6%]

Exceedance Probability

Exceedance note: Wishonia Military Reallocation Physical Max Share collapses to an effectively single value under the current Monte Carlo assumptions, so the exceedance curve would be a near-vertical step function. (range 0.000e+00 <= tolerance 1.000e-12)

Approximate deterministic value: 87.6%

Wishonia Personal Upside (Blended): $40.5 million

Blended personal upside under Wishonia Trajectory: lifetime income gain plus valued healthy-life gains.

Inputs:

\[ \begin{gathered} Upside_{blend,wish} \\ = \Delta Y_{lifetime,wish} + Value_{HALE,wish} \\ = \$36.4M + \$4.02M \\ = \$40.5M \end{gathered} \] where: \[ \begin{gathered} \Delta Y_{lifetime,wish} \\ = Y_{cum,wish} - Y_{cum,earth} \\ = \$37.3M - \$904K \\ = \$36.4M \end{gathered} \] where: \[ \begin{gathered} Y_{cum,wish} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,wish})((1+g_{pc,wish})^{20}-1)}{g_{pc,wish}} \\ + \bar{y}_{wish,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{wish,20} \\ = \frac{GDP_{wish,20}}{Pop_{2045}} \\ = \frac{\$10700T}{9.2B} \\ = \$1.16M \end{gathered} \] where: \[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} Value_{HALE,wish} \\ = \Delta HALE_{wish,15} \times Value_{QALY} \\ = 26.8 \times \$150K \\ = \$4.02M \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{wish,15} \\ = f_{cure,15,wish} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{wish,extra,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{15}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{wish,extra,15} \\ = f_{cure,15,wish} \times (\Delta LE_{best} \\ + T_{extend} \times \rho_{HALE,15}) \end{gathered} \] where: \[ \begin{gathered} \Delta LE_{best} \\ = \max\left(LE_{CH}, LE_{SG}\right) - LE_{global} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Personal Upside (Blended)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory Lifetime Income Gain (Per Capita) (USD) 0.9989 Strong driver
Wishonia HALE Value Per Capita (USD/person) 0.0449 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Personal Upside (Blended) (10,000 simulations)

Monte Carlo Distribution: Wishonia Personal Upside (Blended) (10,000 simulations)

Simulation Results Summary: Wishonia Personal Upside (Blended)

Statistic Value
Baseline (deterministic) $40.5 million
Mean (expected value) $46.2 million
Median (50th percentile) $38.9 million
Standard Deviation $28.4 million
90% Range (5th-95th percentile) [$17.3 million, $101 million]

The histogram shows the distribution of Wishonia Personal Upside (Blended) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Personal Upside (Blended)

Probability of Exceeding Threshold: Wishonia Personal Upside (Blended)

This exceedance probability chart shows the likelihood that Wishonia Personal Upside (Blended) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Projected HALE at Year 15: 90.1 years

Projected global HALE at year 15 under Wishonia Trajectory. Full implementation closes the entire disease gap, pushing HALE toward life expectancy.

Inputs:

\[ \begin{gathered} HALE_{wish,15} \\ = HALE_{0} + \Delta HALE_{wish,15} \\ = 63.3 + 26.8 \\ = 90.1 \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{wish,15} \\ = f_{cure,15,wish} \times \text{GLOBAL\_HALE\_GAP} \\ + \Delta HALE_{wish,extra,15} \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{15}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \Delta HALE_{wish,extra,15} \\ = f_{cure,15,wish} \times (\Delta LE_{best} \\ + T_{extend} \times \rho_{HALE,15}) \end{gathered} \] where: \[ \begin{gathered} \Delta LE_{best} \\ = \max\left(LE_{CH}, LE_{SG}\right) - LE_{global} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Projected HALE at Year 15

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia HALE Gain at Year 15 (years) 1.0218 Strong driver
Global Healthy Life Expectancy (HALE) (years) 0.2310 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Projected HALE at Year 15 (10,000 simulations)

Monte Carlo Distribution: Wishonia Projected HALE at Year 15 (10,000 simulations)

Simulation Results Summary: Wishonia Projected HALE at Year 15

Statistic Value
Baseline (deterministic) 90.1
Mean (expected value) 90
Median (50th percentile) 88
Standard Deviation 6.54
90% Range (5th-95th percentile) [84.9, 102]

The histogram shows the distribution of Wishonia Projected HALE at Year 15 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Projected HALE at Year 15

Probability of Exceeding Threshold: Wishonia Projected HALE at Year 15

This exceedance probability chart shows the likelihood that Wishonia Projected HALE at Year 15 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory Average Income at Year 15: $503,790

Average income (GDP per capita) at year 15 under the Wishonia Trajectory.

Inputs:

\[ \begin{gathered} \bar{y}_{wish,15} \\ = \frac{GDP_{wish,15}}{Pop_{2040}} \\ = \frac{\$4480T}{8.9B} \\ = \$504K \end{gathered} \] where: \[ GDP_{wish,15}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{12} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{15}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory Average Income at Year 15

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory GDP at Year 15 (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory Average Income at Year 15 (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory Average Income at Year 15 (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory Average Income at Year 15

Statistic Value
Baseline (deterministic) $503,790
Mean (expected value) $541,287
Median (50th percentile) $476,361
Standard Deviation $284,802
90% Range (5th-95th percentile) [$223,452, $1.08 million]

The histogram shows the distribution of Wishonia Trajectory Average Income at Year 15 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory Average Income at Year 15

Probability of Exceeding Threshold: Wishonia Trajectory Average Income at Year 15

This exceedance probability chart shows the likelihood that Wishonia Trajectory Average Income at Year 15 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory Average Income at Year 20: $1.16 million

Average income (GDP per capita) at year 20 under the Wishonia Trajectory.

Inputs:

\[ \begin{gathered} \bar{y}_{wish,20} \\ = \frac{GDP_{wish,20}}{Pop_{2045}} \\ = \frac{\$10700T}{9.2B} \\ = \$1.16M \end{gathered} \] where: \[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory Average Income at Year 20

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory GDP at Year 20 (USD) 1.0000 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory Average Income at Year 20 (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory Average Income at Year 20 (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory Average Income at Year 20

Statistic Value
Baseline (deterministic) $1.16 million
Mean (expected value) $1.32 million
Median (50th percentile) $1.09 million
Standard Deviation $885,437
90% Range (5th-95th percentile) [$429,664, $3.04 million]

The histogram shows the distribution of Wishonia Trajectory Average Income at Year 20 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory Average Income at Year 20

Probability of Exceeding Threshold: Wishonia Trajectory Average Income at Year 20

This exceedance probability chart shows the likelihood that Wishonia Trajectory Average Income at Year 20 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory CAGR (20 Years): 25.4%

Compound annual growth rate implied by Wishonia Trajectory GDP trajectory over 20 years.

Inputs:

\[ \begin{gathered} g_{wish,CAGR} \\ = \left(\frac{GDP_{wish,20}}{GDP_{global}}\right)^{\frac{1}{20}} - 1 \end{gathered} \] where: \[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory CAGR (20 Years)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory GDP at Year 20 (USD) 0.9246 Strong driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory CAGR (20 Years) (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory CAGR (20 Years) (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory CAGR (20 Years)

Statistic Value
Baseline (deterministic) 25.4%
Mean (expected value) 25.2%
Median (50th percentile) 25%
Standard Deviation 3.72%
90% Range (5th-95th percentile) [19.3%, 31.6%]

The histogram shows the distribution of Wishonia Trajectory CAGR (20 Years) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory CAGR (20 Years)

Probability of Exceeding Threshold: Wishonia Trajectory CAGR (20 Years)

This exceedance probability chart shows the likelihood that Wishonia Trajectory CAGR (20 Years) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory Cumulative Lifetime Income (Per Capita): $37.3 million

Cumulative per-capita income over an average remaining lifespan under Wishonia Trajectory. Uses implied per-capita CAGR for years 1-20, then current-trajectory per-capita growth from the year-20 level. Conservative: assumes no further acceleration beyond year 20.

Inputs:

\[ \begin{gathered} Y_{cum,wish} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,wish})((1+g_{pc,wish})^{20}-1)}{g_{pc,wish}} \\ + \bar{y}_{wish,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory Cumulative Lifetime Income (Per Capita)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory Average Income at Year 20 (USD) 0.9880 Strong driver
Average Remaining Years (Median Person) (years) 0.1339 Weak driver
Global Average Income (2025 Baseline) (USD) -0.0090 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory Cumulative Lifetime Income (Per Capita) (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory Cumulative Lifetime Income (Per Capita) (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory Cumulative Lifetime Income (Per Capita)

Statistic Value
Baseline (deterministic) $37.3 million
Mean (expected value) $43.1 million
Median (50th percentile) $35.8 million
Standard Deviation $28.3 million
90% Range (5th-95th percentile) [$14.4 million, $97.9 million]

The histogram shows the distribution of Wishonia Trajectory Cumulative Lifetime Income (Per Capita) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory Cumulative Lifetime Income (Per Capita)

Probability of Exceeding Threshold: Wishonia Trajectory Cumulative Lifetime Income (Per Capita)

This exceedance probability chart shows the likelihood that Wishonia Trajectory Cumulative Lifetime Income (Per Capita) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 15): 26.9x

Wishonia Trajectory GDP at year 15 as a multiple of current trajectory GDP at year 15.

Inputs:

\[ \begin{gathered} k_{wish:base,15} \\ = \frac{GDP_{wish,15}}{GDP_{base,15}} \\ = \frac{\$4480T}{\$167T} \\ = 26.9 \end{gathered} \] where: \[ GDP_{wish,15}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{12} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,15,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{15}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ GDP_{base,15} = GDP_{global} \times (1 + g_{base})^{15} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 15)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory GDP at Year 15 (USD) 1.0000 Strong driver
Current Trajectory GDP at Year 15 (USD) -0.0000 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 15) (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 15) (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 15)

Statistic Value
Baseline (deterministic) 26.9x
Mean (expected value) 28.9x
Median (50th percentile) 25.5x
Standard Deviation 15.2x
90% Range (5th-95th percentile) [11.9x, 57.7x]

The histogram shows the distribution of Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 15) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 15)

Probability of Exceeding Threshold: Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 15)

This exceedance probability chart shows the likelihood that Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 15) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 20): 56.7x

Wishonia Trajectory GDP at year 20 as a multiple of current trajectory GDP at year 20.

Inputs:

\[ \begin{gathered} k_{wish:base,20} \\ = \frac{GDP_{wish,20}}{GDP_{base,20}} \\ = \frac{\$10700T}{\$188T} \\ = 56.7 \end{gathered} \] where: \[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory GDP at Year 20 (USD) 1.0000 Strong driver
Current Trajectory GDP at Year 20 (USD) 0.0000 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 20) (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 20) (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 20)

Statistic Value
Baseline (deterministic) 56.7x
Mean (expected value) 64.6x
Median (50th percentile) 53.3x
Standard Deviation 43.2x
90% Range (5th-95th percentile) [21x, 148x]

The histogram shows the distribution of Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 20)

Probability of Exceeding Threshold: Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 20)

This exceedance probability chart shows the likelihood that Wishonia Trajectory vs Current Trajectory GDP Multiplier (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory GDP at Year 15: $4.48 quadrillion

Projected global GDP at year 15 under the Wishonia Trajectory. Applies all Wishonia policy channels including military reallocation, disease-burden recovery, and Political Dysfunction Tax elimination. 3-year ramp at 50% intensity + 12 years full.

Inputs:

\[ GDP_{wish,15}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{12} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory GDP at Year 15

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
GDP Growth Boost at 30% Military Reallocation (rate) 0.5596 Strong driver
Global Migration Opportunity Cost (USD) 0.5236 Strong driver
R&D Spillover Multiplier (x) 0.3889 Moderate driver
Economic Multiplier for Military Spending (x) -0.2742 Weak driver
Economic Multiplier for Healthcare Investment (x) 0.2347 Weak driver
Global Science Opportunity Cost (USD) 0.0348 Minimal effect
Global Lead Poisoning Cost (USD) 0.0228 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory GDP at Year 15 (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory GDP at Year 15 (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory GDP at Year 15

Statistic Value
Baseline (deterministic) $4.48 quadrillion
Mean (expected value) $4.82 quadrillion
Median (50th percentile) $4.24 quadrillion
Standard Deviation $2.53 quadrillion
90% Range (5th-95th percentile) [$1.99 quadrillion, $9.61 quadrillion]

The histogram shows the distribution of Wishonia Trajectory GDP at Year 15 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory GDP at Year 15

Probability of Exceeding Threshold: Wishonia Trajectory GDP at Year 15

This exceedance probability chart shows the likelihood that Wishonia Trajectory GDP at Year 15 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory GDP at Year 20: $10.7 quadrillion

Projected global GDP at year 20 under the Wishonia Trajectory. Model applies all Wishonia policy channels and redirects the full Political Dysfunction Tax non-health opportunity pool to highest-marginal-value uses. Health recovery is modeled separately through disease burden removal to avoid overlap. Military and non-health reallocation effects are ramped at 50% intensity for the first 3 years, then 100% for years 4-20, reflecting implementation lag. Military reallocation uses a physically demonstrated upper bound (post-WW2 demobilization) rather than an arbitrary policy cap.

Inputs:

\[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \]

✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory GDP at Year 20

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
GDP Growth Boost at 30% Military Reallocation (rate) 0.6163 Strong driver
R&D Spillover Multiplier (x) 0.4336 Moderate driver
Global Migration Opportunity Cost (USD) 0.4122 Moderate driver
Economic Multiplier for Military Spending (x) -0.2142 Weak driver
Economic Multiplier for Healthcare Investment (x) 0.1814 Weak driver
Global Science Opportunity Cost (USD) 0.0268 Minimal effect
Global Lead Poisoning Cost (USD) 0.0208 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory GDP at Year 20 (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory GDP at Year 20 (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory GDP at Year 20

Statistic Value
Baseline (deterministic) $10.7 quadrillion
Mean (expected value) $12.2 quadrillion
Median (50th percentile) $10 quadrillion
Standard Deviation $8.15 quadrillion
90% Range (5th-95th percentile) [$3.95 quadrillion, $28 quadrillion]

The histogram shows the distribution of Wishonia Trajectory GDP at Year 20 across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory GDP at Year 20

Probability of Exceeding Threshold: Wishonia Trajectory GDP at Year 20

This exceedance probability chart shows the likelihood that Wishonia Trajectory GDP at Year 20 will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory Lifetime Income Gain (Per Capita): $36.4 million

Lifetime per-capita income gain from Wishonia Trajectory vs current trajectory. Cumulative Wishonia income minus cumulative current trajectory income over average remaining lifespan.

Inputs:

\[ \begin{gathered} \Delta Y_{lifetime,wish} \\ = Y_{cum,wish} - Y_{cum,earth} \\ = \$37.3M - \$904K \\ = \$36.4M \end{gathered} \] where: \[ \begin{gathered} Y_{cum,wish} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,wish})((1+g_{pc,wish})^{20}-1)}{g_{pc,wish}} \\ + \bar{y}_{wish,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{wish,20} \\ = \frac{GDP_{wish,20}}{Pop_{2045}} \\ = \frac{\$10700T}{9.2B} \\ = \$1.16M \end{gathered} \] where: \[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory Lifetime Income Gain (Per Capita)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory Cumulative Lifetime Income (Per Capita) (USD) 1.0003 Strong driver
Current Trajectory Cumulative Lifetime Income (Per Capita) (USD) -0.0021 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory Lifetime Income Gain (Per Capita) (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory Lifetime Income Gain (Per Capita) (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory Lifetime Income Gain (Per Capita)

Statistic Value
Baseline (deterministic) $36.4 million
Mean (expected value) $42.2 million
Median (50th percentile) $34.9 million
Standard Deviation $28.3 million
90% Range (5th-95th percentile) [$13.5 million, $97 million]

The histogram shows the distribution of Wishonia Trajectory Lifetime Income Gain (Per Capita) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory Lifetime Income Gain (Per Capita)

Probability of Exceeding Threshold: Wishonia Trajectory Lifetime Income Gain (Per Capita)

This exceedance probability chart shows the likelihood that Wishonia Trajectory Lifetime Income Gain (Per Capita) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory Lifetime Income Multiplier: 41.3x

Ratio of cumulative lifetime income under Wishonia Trajectory vs current trajectory. Income-agnostic: applies as a multiplier to any individual’s lifetime earnings.

Inputs:

\[ \begin{gathered} k_{lifetime,wish:earth} \\ = \frac{Y_{cum,wish}}{Y_{cum,earth}} \\ = \frac{\$37.3M}{\$904K} \\ = 41.3 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,wish} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,wish})((1+g_{pc,wish})^{20}-1)}{g_{pc,wish}} \\ + \bar{y}_{wish,20} \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}-20}-1)}{g_{pc,base}} \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{wish,20} \\ = \frac{GDP_{wish,20}}{Pop_{2045}} \\ = \frac{\$10700T}{9.2B} \\ = \$1.16M \end{gathered} \] where: \[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{base,20} \\ = \frac{GDP_{base,20}}{Pop_{2045}} \\ = \frac{\$188T}{9.2B} \\ = \$20.5K \end{gathered} \] where: \[ GDP_{base,20} = GDP_{global} \times (1 + g_{base})^{20} \] where: \[ \begin{gathered} T_{remaining} \\ = LE_{global} - Age_{median} \\ = 73.4 - 30.5 \\ = 42.9 \end{gathered} \] where: \[ \begin{gathered} Y_{cum,earth} \\ = \bar{y}_0 \cdot \frac{(1+g_{pc,base})((1+g_{pc,base})^{T_{remaining}}-1)}{g_{pc,base}} \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory Lifetime Income Multiplier

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory Cumulative Lifetime Income (Per Capita) (USD) 1.0054 Strong driver
Current Trajectory Cumulative Lifetime Income (Per Capita) (USD) -0.0991 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory Lifetime Income Multiplier (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory Lifetime Income Multiplier (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory Lifetime Income Multiplier

Statistic Value
Baseline (deterministic) 41.3x
Mean (expected value) 46.9x
Median (50th percentile) 39x
Standard Deviation 30.5x
90% Range (5th-95th percentile) [15.9x, 106x]

The histogram shows the distribution of Wishonia Trajectory Lifetime Income Multiplier across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory Lifetime Income Multiplier

Probability of Exceeding Threshold: Wishonia Trajectory Lifetime Income Multiplier

This exceedance probability chart shows the likelihood that Wishonia Trajectory Lifetime Income Multiplier will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Median After-Tax Consumable Income, Wishonia (Year 20): $194,130

Median after-tax consumable income at year 20 under the Wishonia Trajectory. Claims tied to mechanisms: share erosion excluded (the wishocratic one-person-one-vote mechanism exists precisely to stop the capture that drives the wedge), the military share falls by the already-parameterized physical max reallocation, and the health-burden relief channel applies at Wishonia’s own full-implementation cure fraction. Deliberately UNMODELED: the wishocratic equal-per-person allocation of recovered dysfunction waste is pro-median by arithmetic, but that recovery is already inside the Wishonia GDP trajectory, so modeling its distributional bonus separately would double-count. The bonus is real and omitted; this estimate is therefore a floor.

Inputs:

\[ \begin{gathered} \tilde{m}_{wish,20} \\ = \bar{y}_{wish,20} \times (1 - s_{mil} \times (1-s_{mil,max})) \times \rho_{med} \times (1 \\ + r_{relief} \times f_{cure,20,wish}) \times (1 - \tau_{med}) \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{wish,20} \\ = \frac{GDP_{wish,20}}{Pop_{2045}} \\ = \frac{\$10700T}{9.2B} \\ = \$1.16M \end{gathered} \] where: \[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} s_{mil} \\ = \frac{Spending_{mil}}{GDP_{global}} \\ = \frac{\$2.72T}{\$115T} \\ = 2.37\% \end{gathered} \] where: \[ \begin{gathered} \rho_{med} \\ = \frac{\tilde{y}_{gallup}}{\bar{y}_{0}} \\ = \frac{\$2.92K}{\$14.4K} \\ = 0.203 \end{gathered} \] where: \[ \begin{gathered} \bar{y}_{0} \\ = \frac{GDP_{global}}{Pop_{global}} \\ = \frac{\$115T}{8B} \\ = \$14.4K \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Median After-Tax Consumable Income, Wishonia (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory Average Income at Year 20 (USD) 0.9798 Strong driver
Global Median-to-Mean Income Ratio (ratio) 0.1708 Weak driver
Median Income Relief from Full Disease Cure (rate) 0.0340 Minimal effect

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Median After-Tax Consumable Income, Wishonia (Year 20) (10,000 simulations)

Monte Carlo Distribution: Median After-Tax Consumable Income, Wishonia (Year 20) (10,000 simulations)

Simulation Results Summary: Median After-Tax Consumable Income, Wishonia (Year 20)

Statistic Value
Baseline (deterministic) $194,130
Mean (expected value) $221,117
Median (50th percentile) $181,135
Standard Deviation $150,267
90% Range (5th-95th percentile) [$70,137, $507,535]

The histogram shows the distribution of Median After-Tax Consumable Income, Wishonia (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Median After-Tax Consumable Income, Wishonia (Year 20)

Probability of Exceeding Threshold: Median After-Tax Consumable Income, Wishonia (Year 20)

This exceedance probability chart shows the likelihood that Median After-Tax Consumable Income, Wishonia (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

Wishonia Trajectory vs Treaty Trajectory GDP Multiplier (Year 20): 33.2x

Year-20 GDP multiplier from adding non-health dysfunction-capital reallocation on top of the Treaty Trajectory channels.

Inputs:

\[ \begin{gathered} k_{wish,full:core,20} \\ = \frac{GDP_{wish,20}}{GDP_{treaty,20}} \\ = \frac{\$10700T}{\$322T} \\ = 33.2 \end{gathered} \] where: \[ GDP_{wish,20}=GDP_0(1+g_{ramp})^{3}(1+g_{full})^{17} \] where: \[ s_{mil,max} = Cut_{WW2} = 87.6\% = 87.6\% \] where: \[ \begin{gathered} Cut_{WW2} \\ = 1 - \frac{Spending_{US,1947}}{Spending_{US,1945}} \\ = 1 - \frac{\$176B}{\$1.42T} \\ = 87.6\% \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,wish} \\ = \min\left(1.0, Treatments_{new,ann} \times min(\text{TRIAL\_CAPACITY\_MULTIPLIER} \times \left(\frac{s_{mil,max}}{0.01}\right), \text{MAX\_TRIAL\_CAPACITY\_MULTIPLIER\_PHYSICAL}) \times \frac{20}{N_{untreated}}\right) \end{gathered} \] where: \[ \begin{gathered} k_{capacity} \\ = \frac{N_{fundable,ref}}{Slots_{curr}} \\ = \frac{23.4M}{1.9M} \\ = 12.3 \end{gathered} \] where: \[ \begin{gathered} N_{fundable,ref} \\ = \frac{Subsidies_{trial,ref}}{Cost_{pragmatic,pt}} \\ = \frac{\$21.8B}{\$929} \\ = 23.4M \end{gathered} \] where: \[ \begin{gathered} Subsidies_{trial,ref} \\ = Funding_{trial,ref} - OPEX_{trial} \\ = \$21.8B - \$40M \\ = \$21.8B \end{gathered} \] where: \[ \begin{gathered} OPEX_{trial} \\ = Cost_{platform} + Cost_{staff} + Cost_{infra} \\ + Cost_{regulatory} + Cost_{community} \\ = \$15M + \$10M + \$8M + \$5M + \$2M \\ = \$40M \end{gathered} \] where: \[ \begin{gathered} k_{capacity,max} \\ = \frac{N_{willing}}{Slots_{curr}} \\ = \frac{1.08B}{1.9M} \\ = 566 \end{gathered} \] where: \[ \begin{gathered} N_{willing} \\ = N_{patients} \times Pct_{willing} \\ = 2.4B \times 44.8\% \\ = 1.08B \end{gathered} \] where: \[ \begin{gathered} N_{untreated} \\ = N_{rare} \times 0.95 \\ = 7{,}000 \times 0.95 \\ = 6{,}650 \end{gathered} \] where: \[ \begin{gathered} GDP_{treaty,20} \\ = GDP_{global} \times (1 + g_{base} + g_{redirect,treaty,20} \\ + g_{peace,treaty,20} + g_{cyber,treaty,20} \\ + g_{health,treaty,20})^{20} \end{gathered} \] where: \[ \begin{gathered} g_{redirect,treaty,20} \\ = \bar{s}_{treaty,20} \times \Delta g_{30\%} \times m_{spillover} \times 1.67 \\ = 5.8\% \times 5.5\% \times 2 \times 1.67 \\ = 1.06\% \end{gathered} \] where: \[ \begin{gathered} \bar{s}_{treaty,20} \\ = s_{ratchet} \times 0.409 \\ = 10\% \times 0.409 \\ = 5.8\% \end{gathered} \] where: \[ \begin{gathered} g_{peace,treaty,20} \\ = \left(\frac{Benefit_{peace,soc}}{GDP_{global}}\right) \times \left(\frac{\bar{s}_{treaty,20}}{Reduce_{treaty}}\right) \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} Benefit_{peace,soc} \\ = Cost_{war,total} \times Reduce_{treaty} \\ = \$11.4T \times 1\% \\ = \$114B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,total} \\ = Cost_{war,direct} + Cost_{war,indirect} \\ = \$7.66T + \$3.7T \\ = \$11.4T \end{gathered} \] where: \[ \begin{gathered} Cost_{war,direct} \\ = Loss_{life,conflict} + Damage_{infra,total} \\ + Disruption_{trade} + Spending_{mil} \\ = \$2.45T + \$1.88T + \$616B + \$2.72T \\ = \$7.66T \end{gathered} \] where: \[ \begin{gathered} Loss_{life,conflict} \\ = Cost_{combat,human} + Cost_{state,human} \\ + Cost_{terror,human} \\ = \$2.34T + \$27B + \$83B \\ = \$2.45T \end{gathered} \] where: \[ \begin{gathered} Cost_{combat,human} \\ = Deaths_{combat} \times VSL \\ = 234{,}000 \times \$10M \\ = \$2.34T \end{gathered} \] where: \[ \begin{gathered} Cost_{state,human} \\ = Deaths_{state} \times VSL \\ = 2{,}700 \times \$10M \\ = \$27B \end{gathered} \] where: \[ \begin{gathered} Cost_{terror,human} \\ = Deaths_{terror} \times VSL \\ = 8{,}300 \times \$10M \\ = \$83B \end{gathered} \] where: \[ \begin{gathered} Damage_{infra,total} \\ = Damage_{comms} + Damage_{edu} + Damage_{energy} \\ + Damage_{health} + Damage_{transport} + Damage_{water} \\ = \$298B + \$234B + \$422B + \$166B + \$487B + \$268B \\ = \$1.88T \end{gathered} \] where: \[ \begin{gathered} Disruption_{trade} \\ = Disruption_{currency} + Disruption_{energy} \\ + Disruption_{shipping} + Disruption_{supply} \\ = \$57.4B + \$125B + \$247B + \$187B \\ = \$616B \end{gathered} \] where: \[ \begin{gathered} Cost_{war,indirect} \\ = Damage_{env} + Loss_{growth,mil} + Loss_{capital,conflict} \\ + Cost_{psych} + Cost_{refugee} + Cost_{vet} \\ = \$100B + \$2.72T + \$300B + \$232B + \$150B + \$200B \\ = \$3.7T \end{gathered} \] where: \[ \begin{gathered} g_{cyber,treaty,20} \\ = \left(\frac{Cost_{cyber}}{GDP_{global}}\right) \times \bar{s}_{treaty,20} \times \varepsilon_{conflict} \end{gathered} \] where: \[ \begin{gathered} g_{health,treaty,20} \\ = ((1 \\ + f_{cure,20,treaty} \times d_{disease})^{\frac{1}{H_{health,treaty}}}) - 1 \end{gathered} \] where: \[ \begin{gathered} f_{cure,20,treaty} \\ = \min\left(1.0, (3 \times min(k_{capacity} \times \left(\frac{0.01}{0.01}\right), k_{capacity,max}) + 4 \times min(k_{capacity} \times (min(0.02, s_{ratchet})/0.01), k_{capacity,max}) + 5 \times min(k_{capacity} \times (min(0.05, s_{ratchet})/0.01), k_{capacity,max}) + 8 \times min(k_{capacity} \times \left(\frac{s_{ratchet}}{0.01}\right), k_{capacity,max})) / T_{queue,SQ}\right) \end{gathered} \] where: \[ \begin{gathered} T_{queue,SQ} \\ = \frac{N_{untreated}}{Treatments_{new,ann}} \\ = \frac{6{,}650}{15} \\ = 443 \end{gathered} \] ✓ High confidence

Sensitivity Analysis

Sensitivity Indices for Wishonia Trajectory vs Treaty Trajectory GDP Multiplier (Year 20)

Regression-based sensitivity showing which inputs explain the most variance in the output.

Input Parameter Sensitivity Coefficient Interpretation
Wishonia Trajectory GDP at Year 20 (USD) 1.0168 Strong driver
Treaty Trajectory GDP at Year 20 (USD) -0.2568 Weak driver

Interpretation: Standardized coefficients show the change in output (in SD units) per 1 SD change in input. Values near ±1 indicate strong influence; values exceeding ±1 may occur with correlated inputs.

Monte Carlo Distribution

Monte Carlo Distribution: Wishonia Trajectory vs Treaty Trajectory GDP Multiplier (Year 20) (10,000 simulations)

Monte Carlo Distribution: Wishonia Trajectory vs Treaty Trajectory GDP Multiplier (Year 20) (10,000 simulations)

Simulation Results Summary: Wishonia Trajectory vs Treaty Trajectory GDP Multiplier (Year 20)

Statistic Value
Baseline (deterministic) 33.2x
Mean (expected value) 37.7x
Median (50th percentile) 31.4x
Standard Deviation 24.7x
90% Range (5th-95th percentile) [12.7x, 83.4x]

The histogram shows the distribution of Wishonia Trajectory vs Treaty Trajectory GDP Multiplier (Year 20) across 10,000 Monte Carlo simulations. The CDF (right) shows the probability of the outcome exceeding any given value, which is useful for risk assessment.

Exceedance Probability

Probability of Exceeding Threshold: Wishonia Trajectory vs Treaty Trajectory GDP Multiplier (Year 20)

Probability of Exceeding Threshold: Wishonia Trajectory vs Treaty Trajectory GDP Multiplier (Year 20)

This exceedance probability chart shows the likelihood that Wishonia Trajectory vs Treaty Trajectory GDP Multiplier (Year 20) will exceed any given threshold. Higher curves indicate more favorable outcomes with greater certainty.

External Data Sources

Parameters sourced from peer-reviewed publications, institutional databases, and authoritative reports.

ADAPTABLE Trial Cost per Patient: $929

Cost per patient in ADAPTABLE trial ($14M PCORI grant / 15,076 patients). Note: This is the direct grant cost; true cost including in-kind may be 10-40% higher.

Source:1

Uncertainty Range

Technical: 95% CI: [$929, $1,400] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $929 and $1,400 (±25%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: ADAPTABLE Trial Cost per Patient

Probability Distribution: ADAPTABLE Trial Cost per Patient

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

ADAPTABLE Trial Total Cost: $14 million

PCORI grant for ADAPTABLE trial (2016-2019). Note: Direct funding only; total costs including site overhead and in-kind contributions from health systems may be higher.

Source:1

Uncertainty Range

Technical: 95% CI: [$14 million, $20 million] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $14 million and $20 million (±21%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: ADAPTABLE Trial Total Cost

Probability Distribution: ADAPTABLE Trial Total Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Annual Terrorism Death Risk (1 in X): 30 million people

Annual probability of being killed by terrorism expressed as ‘1 in X’. An American’s annual odds of dying in a terrorist attack are approximately 1 in 30 million.

Source:2

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Antidepressant Trial Exclusion Rate: 86.1%

Mean exclusion rate in antidepressant trials (86.1% of real-world patients excluded)

Source:3

✓ High confidence

Average Annual Stock Market Return: 10%

Average annual stock market return (10%)

Source:4

✓ High confidence

Bed Nets Cost per DALY: $89

GiveWell cost per DALY for insecticide-treated bed nets (midpoint estimate, range $78-100). DALYs (Disability-Adjusted Life Years) measure disease burden by combining years of life lost and years lived with disability. Bed nets prevent malaria deaths and are considered a gold standard benchmark for cost-effective global health interventions - if an intervention costs less per DALY than bed nets, it’s exceptionally cost-effective. GiveWell synthesizes peer-reviewed academic research with transparent, rigorous methodology and extensive external expert review.

Source:6

Uncertainty Range

Technical: 95% CI: [$78, $100] • Distribution: Normal

What this means: This estimate has moderate uncertainty. The true value likely falls between $78 and $100 (±12%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Bed Nets Cost per DALY

Probability Distribution: Bed Nets Cost per DALY

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

Bullets Fired per Kill (Iraq/Afghanistan): 250 thousand rounds

Rounds of small-arms ammunition fired per insurgent killed in Iraq and Afghanistan. Based on GAO figures: ~6 billion rounds expended 2002-2005. Calculated by military researcher John Pike of GlobalSecurity.org.

Source:8

Uncertainty Range

Technical: Distribution: Fixed

~ Medium confidence

Cost per 5.56mm NATO Round (Bulk): $0.4

Cost per round of 5.56x45mm NATO ammunition (military bulk procurement). Based on U.S. military procurement contracts for M855 ball ammunition. Civilian retail floor is ~$0.37; $0.40 is a conservative midpoint.

Source:7

Uncertainty Range

Technical: 95% CI: [$0.25, $0.6] • Distribution: Uniform

What this means: There’s significant uncertainty here. The true value likely falls between $0.25 and $0.6 (±44%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Cost per 5.56mm NATO Round (Bulk)

Probability Distribution: Cost per 5.56mm NATO Round (Bulk)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Global Billionaire Count: 2,781 people

Number of billionaires globally (Forbes 2024 count)

Source:10

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Estimated Annual Global Economic Benefit from Childhood Vaccination Programs: $15 billion

Estimated annual global economic benefit from childhood vaccination programs (measles, polio, etc.)

Source:11

Uncertainty Range

Technical: Distribution: Lognormal (SE: $4.5 billion)

Input Distribution

Probability Distribution: Estimated Annual Global Economic Benefit from Childhood Vaccination Programs

Probability Distribution: Estimated Annual Global Economic Benefit from Childhood Vaccination Programs

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Return on Investment from Childhood Vaccination Programs: 13:1

Return on investment from childhood vaccination programs

Source:12

✓ High confidence

Disability Weight for Untreated Chronic Conditions: 0.35 weight

Disability weight for untreated chronic conditions (WHO Global Burden of Disease)

Source:5

Uncertainty Range

Technical: Distribution: Normal (SE: 0.07 weight)

Input Distribution

Probability Distribution: Disability Weight for Untreated Chronic Conditions

Probability Distribution: Disability Weight for Untreated Chronic Conditions

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence • 📊 Peer-reviewed

Conventional Retirement Return (After Fees): 6.5%

Average retail after-fee return on conventional retirement portfolios (60/40 stock/bond mix, ~1% advisory fees, ~0.4% fund fees). Used as the opportunity cost comparison: depositors are LOSING money by NOT participating in the Prize Fund.

Uncertainty Range

Technical: 95% CI: [5%, 8%] • Distribution: Normal

What this means: This estimate has moderate uncertainty. The true value likely falls between 5% and 8% (±23%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Conventional Retirement Return (After Fees)

Probability Distribution: Conventional Retirement Return (After Fees)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Corporate Analog False Claims Act Treble Multiplier: 3x

Treble-damages multiplier from the False Claims Act, used here as the corporate-defendant analogy for audit and public-money claims in Humanity v. Government.

Source:13

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

State Farm Constitutional-Ceiling Exposure Multiplier: 10x

Total exposure multiplier for a 9:1 punitive-to-compensatory ratio, meaning base damages plus nine times base damages. Used as constitutional-ceiling exposure under State Farm v. Campbell, not a typical award.

Source:14

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

CPI Multiplier: 1980 to 2024: 3.8:1

CPI inflation multiplier from 1980 to 2024 (280.48% cumulative inflation)

Source:15

Uncertainty Range

Technical: 95% CI: [3.75:1, 3.85:1] • Distribution: Normal

What this means: We’re quite confident in this estimate. The true value likely falls between 3.75:1 and 3.85:1 (±1%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: CPI Multiplier: 1980 to 2024

Probability Distribution: CPI Multiplier: 1980 to 2024

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Crowd Decision Accuracy (Millionaire): 91%

Crowd accuracy on Who Wants to Be a Millionaire ask-the-audience lifeline. Studio audience picked the correct answer 91% of the time (Surowiecki 2004). Used as lower bound for wishocratic allocation accuracy.

Source:16

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Current Active Trials at Any Given Time: 10,000 trials

Current active trials at any given time (3-5 year duration)

Source:17

✓ High confidence

Current Clinical Trial Participation Rate: 0.06%

Current clinical trial participation rate (0.06% of population)

Source:18

✓ High confidence

Global Population with Chronic Diseases: 2.4 billion people

Global population with chronic diseases

Source:19

Uncertainty Range

Technical: 95% CI: [2 billion people, 2.8 billion people] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between 2 billion people and 2.8 billion people (±17%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Global Population with Chronic Diseases

Probability Distribution: Global Population with Chronic Diseases

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Average Annual New Drug Approvals Globally: 50 drugs/year

Average annual new drug approvals globally

Source:20

Uncertainty Range

Technical: 95% CI: [45 drugs/year, 60 drugs/year] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between 45 drugs/year and 60 drugs/year (±15%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Average Annual New Drug Approvals Globally

Probability Distribution: Average Annual New Drug Approvals Globally

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Current Global Clinical Trials per Year: 3,300 trials/year

Current global clinical trials per year

Source:23

Uncertainty Range

Technical: 95% CI: [2,640 trials/year, 3,960 trials/year] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between 2,640 trials/year and 3,960 trials/year (±20%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Current Global Clinical Trials per Year

Probability Distribution: Current Global Clinical Trials per Year

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Current Trial Abandonment Rate: 40%

Current trial abandonment rate (40% never complete)

Source:21

✓ High confidence

Annual Global Clinical Trial Participants: 1.9 million patients/year

Annual global clinical trial participants (IQVIA 2022: 1.9M post-COVID normalization)

Source:22

Uncertainty Range

Technical: 95% CI: [1.5 million patients/year, 2.3 million patients/year] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between 1.5 million patients/year and 2.3 million patients/year (±21%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Global Clinical Trial Participants

Probability Distribution: Annual Global Clinical Trial Participants

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Military Sector Lobbying: $198 million

Annual military sector lobbying spending. OpenSecrets reports the 2025 actual at $198.0 million, the top of a three-year climb: $142.9M (2023), $159.5M (2024), $198.0M (2025)

Source:24

Uncertainty Range

Technical: 95% CI: [$190 million, $210 million]

What this means: We’re quite confident in this estimate. The true value likely falls between $190 million and $210 million (±5%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Annual Military Sector Lobbying

Probability Distribution: Annual Military Sector Lobbying

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed • Updated 2025

Allied Military Primes Market Cap: $132 billion

Combined market capitalization of major allied European military primes (BAE Systems approx $75.8B + Thales approx $56.7B), as of June 2026

Source:25

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

US Military Primes Market Cap: $836 billion

Combined market capitalization of the 11 major US military primes at the June 2026 close: RTX $248.1B, Boeing $174.7B, Lockheed Martin $126.5B, General Dynamics $96.9B, Northrop Grumman $78.5B, L3Harris $58.2B, Leidos $15.4B, Huntington Ingalls $11.9B, CACI $11.6B, Booz Allen Hamilton $9.2B, SAIC $4.9B

Source:26

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

20th-Century Government Democide Total: 262 million deaths

Total people murdered by governments worldwide, 1900-1999 (Rummel’s democide estimate)

Source:27

Uncertainty Range

Technical: 95% CI: [200 million deaths, 272 million deaths] • Distribution: Uniform

What this means: This estimate has moderate uncertainty. The true value likely falls between 200 million deaths and 272 million deaths (±14%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: 20th-Century Government Democide Total

Probability Distribution: 20th-Century Government Democide Total

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Deworming Cost per DALY: $55

Cost per DALY for deworming programs (range $28-82, midpoint estimate). GiveWell notes this 2011 estimate is outdated and their current methodology focuses on long-term income effects rather than short-term health DALYs.

Source:28

? Low confidence

Pragmatic Trial Cost per Patient: $929

Embedded pragmatic trial cost per patient. Uses ADAPTABLE trial ($929) as DELIBERATELY CONSERVATIVE central estimate. Ramsberg & Platt (2018) reviewed 108 embedded pragmatic trials; 64 with cost data had median of only $97/patient - this estimate may overstate costs by 10x. Confidence interval spans meta-analysis median to complex chronic disease trials.

Source:1

Uncertainty Range

Technical: 95% CI: [$97, $3,000] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $97 and $3,000 (±156%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pragmatic Trial Cost per Patient

Probability Distribution: Pragmatic Trial Cost per Patient

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Disease Burden as % of GDP: 13%

Fraction of GDP currently lost to disease (productivity losses + medical costs diverted from productive use). $5T productivity loss + $9.9T direct medical costs = $14.9T on $115T GDP = ~13%. As diseases are progressively cured, this drag is recovered as GDP growth. This is the missing factor that makes the treaty trajectory look like a singularity rather than a modest improvement.

Source:29

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

DOT VSL: $13.7 million

DOT Value of Statistical Life (2024). Used by federal agencies to evaluate safety regulations and quantify the economic value of mortality risk reductions.

Source:30

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Drug Development Cost (1980s): $194 million

Drug development cost in 1980s (compounded to approval, 1990 dollars)

Source:31

Uncertainty Range

Technical: 95% CI: [$146 million, $242 million] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $146 million and $242 million (±25%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Drug Development Cost (1980s)

Probability Distribution: Drug Development Cost (1980s)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Drug Discovery to Approval Timeline: 14 years

Full drug development timeline from discovery to FDA approval. Typical range is 12-15 years based on BIO 2021 and PMC meta-analyses. Breakdown: preclinical 4-6 years + clinical 10.5 years. Using 14 years as central estimate.

Source:32

Uncertainty Range

Technical: 95% CI: [12 years, 17 years]

What this means: This estimate has moderate uncertainty. The true value likely falls between 12 years and 17 years (±18%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Drug Discovery to Approval Timeline

Probability Distribution: Drug Discovery to Approval Timeline

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Drug Repurposing Success Rate: 30%

Percentage of drugs that gain at least one new indication after initial approval

Source:33

✓ High confidence

Economic Multiplier for Education Investment: 2.1x

Economic multiplier for education investment (2.1x ROI)

Source:34

✓ High confidence

Economic Multiplier for Healthcare Investment: 4.3x

Economic multiplier for healthcare investment (4.3x ROI). Literature range 3.0-6.0×.

Source:35

Uncertainty Range

Technical: 95% CI: [3x, 6x] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between 3x and 6x (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Economic Multiplier for Healthcare Investment

Probability Distribution: Economic Multiplier for Healthcare Investment

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Economic Multiplier for Infrastructure Investment: 1.6x

Economic multiplier for infrastructure investment (1.6x ROI)

Source:36

✓ High confidence

Economic Multiplier for Military Spending: 0.6x

Economic multiplier for military spending (0.6x ROI). Literature range 0.4-1.0×.

Source:37

Uncertainty Range

Technical: 95% CI: [0.4x, 0.9x] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between 0.4x and 0.9x (±42%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Economic Multiplier for Military Spending

Probability Distribution: Economic Multiplier for Military Spending

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Regulatory Delay for Efficacy Testing Post-Safety Verification: 8.2 years

Regulatory delay for efficacy testing (Phase II/III) post-safety verification. Based on BIO 2021 industry survey. Note: This is for drugs that COMPLETE the pipeline - survivor bias means actual delay for any given disease may be longer if candidates fail and must restart.

Source:32

Uncertainty Range

Technical: Distribution: Normal (SE: 2 years)

Input Distribution

Probability Distribution: Regulatory Delay for Efficacy Testing Post-Safety Verification

Probability Distribution: Regulatory Delay for Efficacy Testing Post-Safety Verification

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence • 📊 Peer-reviewed • Updated 2021

EOS Social Value Capture Rate: 2.2%

Fraction of political dysfunction tax value that EOS captures as shareholder returns via portfolio appreciation. Base case from Nordhaus (2004): innovators capture 2.2% of social surplus. Could be lower because governance gains are partly public goods. Could be higher if the thesis is tradable before it is obvious, EOS owns constrained assets first, and later investors reprice those assets after EOS proves the governance case. Skeptical case: 0.5%. Bull case: 5%.

Source:38

Uncertainty Range

Technical: 95% CI: [0.5%, 5%] • Distribution: Lognormal (SE: 1%)

What this means: This estimate is highly uncertain. The true value likely falls between 0.5% and 5% (±102%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: EOS Social Value Capture Rate

Probability Distribution: EOS Social Value Capture Rate

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

? Low confidence

Expert Decision Accuracy (Millionaire): 65%

Expert accuracy on Who Wants to Be a Millionaire phone-a-friend lifeline. Credentialed expert picked the correct answer 65% of the time (Surowiecki 2004). Used as baseline for conventional fund manager / committee allocation.

Source:16

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

FDA-Approved Drug Products: 20,000 products

Total FDA-approved drug products in the U.S.

Source:39

✓ High confidence

FDA-Approved Unique Active Ingredients: 1,650 compounds

Unique active pharmaceutical ingredients in FDA-approved products (midpoint of 1,300-2,000 range)

Source:39

Uncertainty Range

Technical: 95% CI: [1,300 compounds, 2,000 compounds] • Distribution: Uniform

What this means: This estimate has moderate uncertainty. The true value likely falls between 1,300 compounds and 2,000 compounds (±21%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: FDA-Approved Unique Active Ingredients

Probability Distribution: FDA-Approved Unique Active Ingredients

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

FDA GRAS Substances: 635 substances

FDA Generally Recognized as Safe (GRAS) substances (midpoint of 570-700 range)

Source:40

Uncertainty Range

Technical: 95% CI: [570 substances, 700 substances] • Distribution: Uniform

What this means: This estimate has moderate uncertainty. The true value likely falls between 570 substances and 700 substances (±10%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: FDA GRAS Substances

Probability Distribution: FDA GRAS Substances

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

FDA Phase 1 to Approval Timeline: 10.5 years

FDA timeline from Phase 1 start to approval. Derived from BIO 2021 industry survey: Phase 1 (2.3 years) + efficacy lag (8.2 years) = 10.5 years. Consistent with PMC meta-analysis finding 9.1 years median (95% CI: 8.2-10.0).

Source:32

Uncertainty Range

Technical: 95% CI: [6 years, 12 years] • Distribution: Gamma (SE: 2 years)

What this means: There’s significant uncertainty here. The true value likely falls between 6 years and 12 years (±29%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The gamma distribution means values follow a specific statistical pattern.

Input Distribution

Probability Distribution: FDA Phase 1 to Approval Timeline

Probability Distribution: FDA Phase 1 to Approval Timeline

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Gallup Global Median Per-Capita Income (2013, PPP): $2,920

Global median per-capita household income as measured by the Gallup World Poll (131 countries, PPP dollars, published 2013): the only comprehensive survey-based measurement of the middle human’s income that exists. The median-to-mean ratio is DERIVED from this anchor rather than chosen, so the model is calibrated to a measured human. The confidence interval covers the anchor’s vintage (global medians grew after 2013, pushing the true current value above the point estimate) and PPP-vs-market-rate conversion (pushing it below).

Source:41

Uncertainty Range

Technical: 95% CI: [$2,300, $3,700] • Distribution: Normal

What this means: This estimate has moderate uncertainty. The true value likely falls between $2,300 and $3,700 (±24%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Gallup Global Median Per-Capita Income (2013, PPP)

Probability Distribution: Gallup Global Median Per-Capita Income (2013, PPP)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Givewell Cost per Life Saved (Maximum): $5,500

GiveWell cost per life saved (Against Malaria Foundation)

Source:6

✓ High confidence

Givewell Cost per Life Saved (Minimum): $3,500

GiveWell cost per life saved (Helen Keller International)

Source:6

✓ High confidence

Annual Deaths from Active Combat Worldwide: 234 thousand deaths/year

Annual deaths from active combat worldwide

Source:42

Uncertainty Range

Technical: 95% CI: [180 thousand deaths/year, 300 thousand deaths/year] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between 180 thousand deaths/year and 300 thousand deaths/year (±26%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Deaths from Active Combat Worldwide

Probability Distribution: Annual Deaths from Active Combat Worldwide

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Deaths from State Violence: 2,700 deaths/year

Annual deaths from state violence

Source:43

Uncertainty Range

Technical: 95% CI: [1,500 deaths/year, 5,000 deaths/year] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 1,500 deaths/year and 5,000 deaths/year (±65%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Deaths from State Violence

Probability Distribution: Annual Deaths from State Violence

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Deaths from Terror Attacks Globally: 8,300 deaths/year

Annual deaths from terror attacks globally

Source:44

Uncertainty Range

Technical: 95% CI: [6,000 deaths/year, 12,000 deaths/year] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between 6,000 deaths/year and 12,000 deaths/year (±36%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Deaths from Terror Attacks Globally

Probability Distribution: Annual Deaths from Terror Attacks Globally

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Annual DALY Burden: 2.88 billion DALYs/year

Global annual DALY burden from all diseases and injuries (WHO/IHME Global Burden of Disease 2021). Includes both YLL (years of life lost) and YLD (years lived with disability) from all causes.

Source:45

Uncertainty Range

Technical: Distribution: Normal (SE: 150 million DALYs/year)

Input Distribution

Probability Distribution: Global Annual DALY Burden

Probability Distribution: Global Annual DALY Burden

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

Annual Deaths from All Diseases and Aging Globally: 55 million deaths/year

Annual deaths from all diseases and aging globally

Source:5

Uncertainty Range

Technical: Distribution: Normal (SE: 5 million deaths/year)

Input Distribution

Probability Distribution: Annual Deaths from All Diseases and Aging Globally

Probability Distribution: Annual Deaths from All Diseases and Aging Globally

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Environmental Damage and Restoration Costs from Conflict: $100 billion

Annual environmental damage and restoration costs from conflict

Source:46

Uncertainty Range

Technical: 95% CI: [$70 billion, $140 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $70 billion and $140 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Environmental Damage and Restoration Costs from Conflict

Probability Distribution: Annual Environmental Damage and Restoration Costs from Conflict

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Infrastructure Damage to Communications from Conflict: $298 billion

Annual infrastructure damage to communications from conflict

Source:46

Uncertainty Range

Technical: 95% CI: [$209 billion, $418 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $209 billion and $418 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Infrastructure Damage to Communications from Conflict

Probability Distribution: Annual Infrastructure Damage to Communications from Conflict

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Infrastructure Damage to Education Facilities from Conflict: $234 billion

Annual infrastructure damage to education facilities from conflict

Source:46

Uncertainty Range

Technical: 95% CI: [$164 billion, $328 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $164 billion and $328 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Infrastructure Damage to Education Facilities from Conflict

Probability Distribution: Annual Infrastructure Damage to Education Facilities from Conflict

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Infrastructure Damage to Energy Systems from Conflict: $422 billion

Annual infrastructure damage to energy systems from conflict

Source:46

Uncertainty Range

Technical: 95% CI: [$295 billion, $590 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $295 billion and $590 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Infrastructure Damage to Energy Systems from Conflict

Probability Distribution: Annual Infrastructure Damage to Energy Systems from Conflict

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Infrastructure Damage to Healthcare Facilities from Conflict: $166 billion

Annual infrastructure damage to healthcare facilities from conflict

Source:46

Uncertainty Range

Technical: 95% CI: [$116 billion, $232 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $116 billion and $232 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Infrastructure Damage to Healthcare Facilities from Conflict

Probability Distribution: Annual Infrastructure Damage to Healthcare Facilities from Conflict

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Infrastructure Damage to Transportation from Conflict: $487 billion

Annual infrastructure damage to transportation from conflict

Source:46

Uncertainty Range

Technical: 95% CI: [$340 billion, $680 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $340 billion and $680 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Infrastructure Damage to Transportation from Conflict

Probability Distribution: Annual Infrastructure Damage to Transportation from Conflict

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Infrastructure Damage to Water Systems from Conflict: $268 billion

Annual infrastructure damage to water systems from conflict

Source:46

Uncertainty Range

Technical: 95% CI: [$187 billion, $375 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $187 billion and $375 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Infrastructure Damage to Water Systems from Conflict

Probability Distribution: Annual Infrastructure Damage to Water Systems from Conflict

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Lost Economic Growth from Military Spending Opportunity Cost: $2.72 trillion

Annual foregone economic output from military spending vs productive alternatives. This estimate implicitly captures fiscal multiplier differences (military ~0.6x vs healthcare ~4.3x GDP multiplier). Do not add separate GDP multiplier adjustment to avoid double-counting.

Source:48

Uncertainty Range

Technical: 95% CI: [$1.9 trillion, $3.8 trillion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $1.9 trillion and $3.8 trillion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Lost Economic Growth from Military Spending Opportunity Cost

Probability Distribution: Annual Lost Economic Growth from Military Spending Opportunity Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Lost Productivity from Conflict Casualties: $300 billion

Annual lost productivity from conflict casualties

Source:49

Uncertainty Range

Technical: 95% CI: [$210 billion, $420 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $210 billion and $420 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Lost Productivity from Conflict Casualties

Probability Distribution: Annual Lost Productivity from Conflict Casualties

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual PTSD and Mental Health Costs from Conflict: $232 billion

Annual PTSD and mental health costs from conflict

Source:50

Uncertainty Range

Technical: 95% CI: [$162 billion, $325 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $162 billion and $325 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual PTSD and Mental Health Costs from Conflict

Probability Distribution: Annual PTSD and Mental Health Costs from Conflict

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Refugee Support Costs: $150 billion

Annual refugee support costs (108.4M refugees × $1,384/year)

Source:51

Uncertainty Range

Technical: 95% CI: [$105 billion, $210 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $105 billion and $210 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Refugee Support Costs

Probability Distribution: Annual Refugee Support Costs

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Trade Disruption Costs from Currency Instability: $57.4 billion

Annual trade disruption costs from currency instability

Source:52

Uncertainty Range

Technical: 95% CI: [$40 billion, $80 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $40 billion and $80 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Trade Disruption Costs from Currency Instability

Probability Distribution: Annual Trade Disruption Costs from Currency Instability

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Trade Disruption Costs from Energy Price Volatility: $125 billion

Annual trade disruption costs from energy price volatility

Source:52

Uncertainty Range

Technical: 95% CI: [$87 billion, $175 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $87 billion and $175 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Trade Disruption Costs from Energy Price Volatility

Probability Distribution: Annual Trade Disruption Costs from Energy Price Volatility

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Trade Disruption Costs from Shipping Disruptions: $247 billion

Annual trade disruption costs from shipping disruptions

Source:52

Uncertainty Range

Technical: 95% CI: [$173 billion, $346 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $173 billion and $346 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Trade Disruption Costs from Shipping Disruptions

Probability Distribution: Annual Trade Disruption Costs from Shipping Disruptions

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Trade Disruption Costs from Supply Chain Disruptions: $187 billion

Annual trade disruption costs from supply chain disruptions

Source:52

Uncertainty Range

Technical: 95% CI: [$131 billion, $262 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $131 billion and $262 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Trade Disruption Costs from Supply Chain Disruptions

Probability Distribution: Annual Trade Disruption Costs from Supply Chain Disruptions

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Veteran Healthcare Costs: $200 billion

Annual veteran healthcare costs (20-year projected)

Source:53

Uncertainty Range

Technical: 95% CI: [$140 billion, $280 billion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $140 billion and $280 billion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Veteran Healthcare Costs

Probability Distribution: Annual Veteran Healthcare Costs

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Days of Chronic Disease Therapy: 1.28 trillion days

Annual days of therapy for chronic conditions globally (diabetes, CVD, respiratory, cancer). IQVIA reports 1.8 trillion total days of therapy in 2019, with 71% for chronic conditions.

Source:54

Uncertainty Range

Technical: 95% CI: [1 trillion days, 1.5 trillion days] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between 1 trillion days and 1.5 trillion days (±20%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Days of Chronic Disease Therapy

Probability Distribution: Annual Days of Chronic Disease Therapy

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Annual Global Spending on Clinical Trials: $60 billion

Annual global spending on clinical trials (Industry: $45-60B + Government: $3-6B + Nonprofits: $2-5B). Conservative estimate using 15-20% of $300B total pharma R&D, not inflated market size projections.

Source:55

Uncertainty Range

Technical: 95% CI: [$50 billion, $75 billion] • Distribution: Lognormal (SE: $10 billion)

What this means: This estimate has moderate uncertainty. The true value likely falls between $50 billion and $75 billion (±21%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Global Spending on Clinical Trials

Probability Distribution: Annual Global Spending on Clinical Trials

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Cybercrime Cost CAGR: 15%

Compound annual growth rate of global cybercrime costs. Cybersecurity Ventures: $3T (2015) -> $6T (2021) -> $10.5T (2025). AI-enhanced attacks are accelerating this trend.

Source:56

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Cybercrime Costs (2025): $10.5 trillion

Projected global cybercrime costs in 2025. Includes data theft, productivity loss, IP theft, fraud. More profitable than global trade of all major illegal drugs combined. If measured as a country, would be the 3rd largest economy after US and China.

Source:56

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Daily Deaths from Disease and Aging: 150 thousand deaths/day

Total global deaths per day from all disease and aging (WHO Global Burden of Disease 2024)

Source:5

Uncertainty Range

Technical: Distribution: Normal (SE: 7,500 deaths/day)

Input Distribution

Probability Distribution: Global Daily Deaths from Disease and Aging

Probability Distribution: Global Daily Deaths from Disease and Aging

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

Global Annual Direct Medical Costs of Disease: $9.9 trillion

Direct medical costs of disease globally (treatment, hospitalization, medication). Standalone market-cost metric; not included in DALY-based welfare burden to avoid double-counting.

Source:29

Uncertainty Range

Technical: 95% CI: [$7 trillion, $14 trillion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $7 trillion and $14 trillion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Global Annual Direct Medical Costs of Disease

Probability Distribution: Global Annual Direct Medical Costs of Disease

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Annual Productivity Loss from Disease: $5 trillion

Annual productivity loss from disease globally (absenteeism, reduced output). Standalone market-cost metric; not included in DALY-based welfare burden to avoid double-counting.

Source:29

Uncertainty Range

Technical: 95% CI: [$3.5 trillion, $7 trillion] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $3.5 trillion and $7 trillion (±35%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Global Annual Productivity Loss from Disease

Probability Distribution: Global Annual Productivity Loss from Disease

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global GDP (2025): $115 trillion

Global nominal GDP (2025 estimate). From Political Dysfunction Tax paper citing StatisticsTimes/IMF World Economic Outlook. Used for calculating global opportunity costs as percentage of world economic output. Note: Latest IMF data shows $117T.

Source:57

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global GDP per Capita in 1900: $3,150

Global GDP per capita in 1900 in constant 2024 USD. Maddison Project: ~$1,260 in 1990 international dollars, adjusted to 2024 USD (~2.5x).

Source:58

Uncertainty Range

Technical: Distribution: Normal (SE: $500)

Input Distribution

Probability Distribution: Global GDP per Capita in 1900

Probability Distribution: Global GDP per Capita in 1900

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Annual Global Government Spending on Clinical Trials: $4.5 billion

Annual global government spending on interventional clinical trials (~5-10% of total)

Source:59

Uncertainty Range

Technical: 95% CI: [$3 billion, $6 billion] • Distribution: Lognormal (SE: $1 billion)

What this means: There’s significant uncertainty here. The true value likely falls between $3 billion and $6 billion (±33%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Global Government Spending on Clinical Trials

Probability Distribution: Annual Global Government Spending on Clinical Trials

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Government Expense Share of GDP: 31.8%

World general government total expense as a share of GDP, using World Bank indicator GC.XPN.TOTL.GD.ZS. The most recent world aggregate in the cited source is 2021.

Source:60

Uncertainty Range

Technical: Distribution: Fixed

~ Medium confidence

Global Healthy Life Expectancy (HALE): 63.3 years

Global healthy life expectancy at birth (HALE) from WHO Global Health Observatory, 2019 data (most recent available). HALE measures years lived in full health, adjusting for years lived with disability or disease.

Source:5

Uncertainty Range

Technical: Distribution: Normal (SE: 1.5 years)

Input Distribution

Probability Distribution: Global Healthy Life Expectancy (HALE)

Probability Distribution: Global Healthy Life Expectancy (HALE)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed • Updated 2019

Global Household Wealth: $454 trillion

Total global household wealth (2022/2023 estimate)

Source:61

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Investable Financial Assets: $305 trillion

Total global financial wealth (2024): equities, bonds, cash/deposits, and investment funds. Excludes real estate and physical assets. This is the addressable capital pool for Prize deposits.

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Life Expectancy (2024): 73.4 years

Global life expectancy at birth (2024), WHO global figure. Was previously set to 79 (developed-country treatment access), which the adversarial review flagged: a measured external parameter must carry the measured value; access optimism belongs in explicit forward-looking parameters, not in a present-day data point.

Source:5

Uncertainty Range

Technical: Distribution: Normal (SE: 2 years)

Input Distribution

Probability Distribution: Global Life Expectancy (2024)

Probability Distribution: Global Life Expectancy (2024)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed • Updated 2024

Remaining Life Expectancy at Age 60 (Global): 21 years

Additional years a person alive at age 60 can expect to live, global both-sexes (WHO life tables: 21.0 years in 2019; 19.6 in COVID-depressed 2021). This is CONDITIONAL remaining life expectancy, not life-expectancy-at-birth minus age: at-birth figures carry child mortality that someone who reached 60 already survived, so subtracting an age from them understates remaining years by roughly 40% at this age. Used for years-of-life-lost per efficacy-lag death. The GBD reference life table would give more (~23 years at 60); WHO period tables are the lower of the two standard choices.

Source:62

Uncertainty Range

Technical: 95% CI: [19.6 years, 22 years] • Distribution: Normal

What this means: We’re quite confident in this estimate. The true value likely falls between 19.6 years and 22 years (±6%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Remaining Life Expectancy at Age 60 (Global)

Probability Distribution: Remaining Life Expectancy at Age 60 (Global)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Median Age (2024): 30.5 years

Global median age in 2024 from UN World Population Prospects 2024 revision.

Source:64

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Government Medical Research Spending: $67.5 billion

Global government medical research spending

Source:63

Uncertainty Range

Technical: 95% CI: [$54 billion, $81 billion] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $54 billion and $81 billion (±20%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Global Government Medical Research Spending

Probability Distribution: Global Government Medical Research Spending

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Military Spending in 2005 (Constant 2023 USD): $1.62 trillion

Global military spending in 2005, constant 2023 USD (SIPRI World total). Used as the 20-year reference point for computing the long-horizon real CAGR.

Source:65

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Military Spending in 2024: $2.72 trillion

Global military spending in 2024

Source:66

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Military Spending Real CAGR (10-Year): 3.4%

Real compound annual growth rate of global military spending over the last decade (2014-2024). SIPRI reports 10 consecutive annual increases, with 2024 up 9.4% in real terms. The 10-year CAGR is approximately 3.4% real.

Source:65

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Nuclear Weapons Spending: $92 billion

Annual global spending on nuclear weapons across all nine nuclear-armed states. US: $51.5B, China: $11.8B, UK: $8.1B, Russia: $8.3B, France: $6.8B, India: ~$2.7B, Israel: ~$1.2B, Pakistan: ~$1.1B, North Korea: ~$0.7B.

Source:68

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Population in 2024: 8 billion of people

Global population in 2024

Source:70

Uncertainty Range

Technical: 95% CI: [7.8 billion of people, 8.2 billion of people] • Distribution: Lognormal

What this means: We’re quite confident in this estimate. The true value likely falls between 7.8 billion of people and 8.2 billion of people (±2%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Global Population in 2024

Probability Distribution: Global Population in 2024

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Population 2040 (Projected): 8.9 billion of people

UN World Population Prospects 2022 median projection for 2040. Interpolated midpoint between ~8.1B (2025) and 9.2B (2045).

Source:70

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Population 2045 (Projected): 9.2 billion of people

UN World Population Prospects 2022 median projection for 2045.

Source:70

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Critical Mass Threshold for Social Change: 3.5%

Critical mass threshold for social change (3.5% rule). Chenoweth studied national regime changes; applying to a global treaty adds uncertainty. Lower bound: some movements succeeded at ~1%. Upper bound: entrenched defense-industry opposition and weaker signal from digital signatures vs sustained protest may require up to 10%.

Source:71

Uncertainty Range

Technical: 95% CI: [1%, 10%] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 1% and 10% (±129%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Critical Mass Threshold for Social Change

Probability Distribution: Critical Mass Threshold for Social Change

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Registered Voters: 4.13 billion of people

Best current register-based estimate of the number of registered voters worldwide, calculated by summing the latest available country-level electoral-roll counts in International IDEA’s Voter Turnout Database export. Used as the verified-human headcount proxy for the majority-of-humanity coordination target.

Source:72

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Retirement Assets: $70 trillion

Total global pension and retirement assets (OECD 2024). This is the capital pool that the Prize Fund competes with and could partially absorb.

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Gross Savings Rate: 27%

Global gross savings as share of GDP (World Bank, ~27% average 2023-2024)

Source:73

Uncertainty Range

Technical: 95% CI: [24%, 30%] • Distribution: Normal

What this means: This estimate has moderate uncertainty. The true value likely falls between 24% and 30% (±11%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Global Gross Savings Rate

Probability Distribution: Global Gross Savings Rate

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Global Spending on Symptomatic Disease Treatment: $8.2 trillion

Annual global spending on symptomatic disease treatment

Source:29

Uncertainty Range

Technical: 95% CI: [$6.5 trillion, $10 trillion] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $6.5 trillion and $10 trillion (±21%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Global Spending on Symptomatic Disease Treatment

Probability Distribution: Annual Global Spending on Symptomatic Disease Treatment

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Nuclear Warhead Count: 12,241 warheads

Total global nuclear warhead inventory across nine nuclear-armed states. Includes deployed, reserve, and retired warheads awaiting dismantlement.

Source:74

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

YLD Proportion of Total DALYs: 0.39 proportion

Proportion of global DALYs that are YLD (years lived with disability) vs YLL (years of life lost). From GBD 2021: 1.13B YLD out of 2.88B total DALYs = 39%.

Source:45

Uncertainty Range

Technical: Distribution: Normal (SE: 0.03 proportion)

Input Distribution

Probability Distribution: YLD Proportion of Total DALYs

Probability Distribution: YLD Proportion of Total DALYs

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

Government-Controlling Sectors Top-5 Market Cap: $16.7 trillion

Combined market capitalization of the top-5 US public lobbying spenders in each of the four other government-controlling sectors: pharmaceuticals $1.79T, technology $13.28T, insurance $0.39T, oil and gas $1.25T. Caveats: Meta (Zuckerberg 60.8% voting) and Alphabet (Page and Brin 52.3%) cannot be majority-acquired; Ellison owns 40.6% of Oracle; the largest insurance lobbyists are mutuals with no shares; trade associations (PhRMA, AHIP, SIFMA, API) are not acquirable

Source:75

Uncertainty Range

Technical: 95% CI: [$15 trillion, $18 trillion]

What this means: We’re quite confident in this estimate. The true value likely falls between $15 trillion and $18 trillion (±9%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Government-Controlling Sectors Top-5 Market Cap

Probability Distribution: Government-Controlling Sectors Top-5 Market Cap

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Home Bias Return Drag: 0.8%

Return drag from home bias in fragmented national pension systems. 70+ countries each overweight domestic assets, missing global diversification. IMF and Vanguard studies estimate 0.3-1.5% annual return cost. Wishocratic allocation is inherently global, eliminating this drag.

Uncertainty Range

Technical: 95% CI: [0.3%, 1.5%] • Distribution: Normal

What this means: This estimate is highly uncertain. The true value likely falls between 0.3% and 1.5% (±75%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Home Bias Return Drag

Probability Distribution: Home Bias Return Drag

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Human Interactome Targeted by Drugs: 12%

Percentage of human interactome (protein-protein interactions) targeted by drugs

Source:77

✓ High confidence

ICD-10 Total Codes: 14,000 codes

Total ICD-10 diagnostic codes for human diseases and conditions

Source:78

✓ High confidence

US Average IQ Loss from Leaded Gasoline: 2.6 IQ points

Average IQ points lost per person from childhood leaded-gasoline exposure (McFarland et al. 2022: 824M cumulative points across the 2015 US population, average 2.6/person, 5.9 for the worst-hit 1966-1970 birth cohorts). Used as the era-average workforce IQ deficit: lower in the 1930s, higher by the 1980s.

Source:79

Uncertainty Range

Technical: 95% CI: [1.5 IQ points, 5.9 IQ points] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 1.5 IQ points and 5.9 IQ points (±85%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: US Average IQ Loss from Leaded Gasoline

Probability Distribution: US Average IQ Loss from Leaded Gasoline

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Life Extension from Treaty Research Acceleration: 20 years

Expected years of life extension from 1% treaty research acceleration (25x trial capacity). Bounds: 0 (complete failure) to ~150 (accident-limited lifespan minus current). Lognormal distribution allows for breakthrough scenarios.

Source:80

Uncertainty Range

Technical: 95% CI: [5 years, 100 years] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 5 years and 100 years (±238%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Life Extension from Treaty Research Acceleration

Probability Distribution: Life Extension from Treaty Research Acceleration

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

? Low confidence

Maximum Annual Lobbyist Salary Range: $2 million

Maximum annual lobbyist salary range

Source:81

✓ High confidence

Minimum Annual Lobbyist Salary Range: $500,000

Minimum annual lobbyist salary range

Source:81

✓ High confidence

Medical QALY Threshold: $100,000

Medical cost-effectiveness QALY threshold. Standard threshold for evaluating whether health interventions are cost-effective. Interventions below $100K/QALY are generally considered cost-effective.

Source:83

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Medical Toolchain BRAIN Initiative Planned Budget: $4.5 billion

Planned NIH BRAIN Initiative commitment described in the BRAIN 2025 scientific vision.

Source:84

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Medical Toolchain NIH CRISPR Funding, FY2011-FY2018: $3.1 billion

Rounded NIH CRISPR-related research funding for FY2011-FY2018 from CRS Table 1.

Source:85

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Medical Toolchain Human Genome Project Cost: $2.7 billion

Approximate Human Genome Project cost used as an observed medical-toolchain anchor.

Source:76

Uncertainty Range

Technical: Distribution: Fixed

~ Medium confidence

Medical Toolchain HITECH EHR Incentive Estimated Spending: $30 billion

GAO estimate of Medicare and Medicaid EHR incentive program spending from 2011 through 2019.

Source:86

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Medical Toolchain Operation Warp Speed Potential Vaccine Awards: $18 billion

GAO-reported total potential estimated value of Operation Warp Speed vaccine candidate awards.

Source:87

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Medical Toolchain PCORnet Infrastructure Funding Anchor: $325 million

Rounded PCORI-funded PCORnet Studies amount from the Q4 2025 PCORnet dashboard. Used as a network-scale pragmatic-trial infrastructure anchor.

Source:88

Uncertainty Range

Technical: Distribution: Fixed

~ Medium confidence

GDP Growth Effect per National IQ Point: 0.11%

Jones & Schneider (2006) BACE estimate: one national-IQ point is associated with a persistent 0.11 percentage-point higher annual GDP per capita growth rate (significant in 99.8% of 1,330 growth regressions). Wide CI reflects the contested cross-country IQ data underlying the estimate and the authors’ own caveat that transitory vs steady-state growth cannot be distinguished.

Source:90

Uncertainty Range

Technical: 95% CI: [0.04%, 0.18%] • Distribution: Normal

What this means: This estimate is highly uncertain. The true value likely falls between 0.04% and 0.18% (±64%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: GDP Growth Effect per National IQ Point

Probability Distribution: GDP Growth Effect per National IQ Point

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

? Low confidence

Diseases Getting First Treatment Per Year: 15 diseases/year

Number of diseases that receive their FIRST effective treatment each year under current system. ~9 rare diseases/year (based on 40 years of ODA: 350 with treatment ÷ 40 years), plus ~5-10 common diseases. Note: FDA approves ~50 drugs/year, but most are for diseases that already have treatments.

Source:92

Uncertainty Range

Technical: 95% CI: [8 diseases/year, 30 diseases/year] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 8 diseases/year and 30 diseases/year (±73%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Diseases Getting First Treatment Per Year

Probability Distribution: Diseases Getting First Treatment Per Year

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

? Low confidence

NIH Annual Budget: $47 billion

NIH annual budget (FY2024/2025)

Source:93

Uncertainty Range

Technical: 95% CI: [$45 billion, $50 billion]

What this means: We’re quite confident in this estimate. The true value likely falls between $45 billion and $50 billion (±5%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: NIH Annual Budget

Probability Distribution: NIH Annual Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

NIH Clinical Trials Spending Percentage: 3.3%

Percentage of NIH budget spent on clinical trials (3.3%)

Source:94

Uncertainty Range

Technical: 95% CI: [2%, 5%] • Distribution: Beta

What this means: There’s significant uncertainty here. The true value likely falls between 2% and 5% (±45%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The beta distribution means values are bounded and can skew toward one end.

Input Distribution

Probability Distribution: NIH Clinical Trials Spending Percentage

Probability Distribution: NIH Clinical Trials Spending Percentage

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

NIH Standard Research Cost per QALY: $50,000

Typical cost per QALY for standard NIH-funded medical research portfolio. Reflects the inefficiency of traditional RCTs and basic research-heavy allocation. See confidence_interval for range; ICER uses higher thresholds for value-based pricing.

Source:95

Uncertainty Range

Technical: 95% CI: [$20,000, $100,000] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $20,000 and $100,000 (±80%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: NIH Standard Research Cost per QALY

Probability Distribution: NIH Standard Research Cost per QALY

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Nuclear Winter Warhead Threshold: 100 warheads

Approximate number of warheads needed to trigger a regional-scale nuclear winter sufficient to collapse the global food system. A 100-warhead regional exchange (Robock/Toon 2007, extended by Xia et al. 2022) injects ~5 Tg of soot into the stratosphere, drops global temperatures ~1.8C for a decade, shortens growing seasons worldwide, and kills ~2 billion people from famine. Civilization as the median human experiences it does not survive. Xia 2022 shows total agricultural collapse (~5B deaths) at ~4,400 warheads; this parameter uses the lower threshold for median-human civilizational collapse.

Source:96

Uncertainty Range

Technical: 95% CI: [50 warheads, 300 warheads] • Distribution: Uniform

What this means: This estimate is highly uncertain. The true value likely falls between 50 warheads and 300 warheads (±125%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Nuclear Winter Warhead Threshold

Probability Distribution: Nuclear Winter Warhead Threshold

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Oxford RECOVERY Trial Duration: 3 months

Oxford RECOVERY trial duration (found life-saving treatment in 3 months)

Source:97

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Patient Willingness to Participate in Clinical Trials: 44.8%

Patient willingness to participate in drug trials (44.8% in surveys, 88% when actually approached)

Source:98

Uncertainty Range

Technical: 95% CI: [40%, 50%] • Distribution: Normal (SE: 2.5%)

What this means: This estimate has moderate uncertainty. The true value likely falls between 40% and 50% (±11%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Patient Willingness to Participate in Clinical Trials

Probability Distribution: Patient Willingness to Participate in Clinical Trials

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Pentagon Unaccounted Funds: $2.46 trillion

Funds the Department of Defense has failed to account for across seven consecutive failed audits

Source:99

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Pharma Drug Development Cost (Current System): $2.6 billion

Average cost to develop one drug in current system

Source:100

Uncertainty Range

Technical: 95% CI: [$1.5 billion, $4 billion] • Distribution: Lognormal (SE: $500 million)

What this means: There’s significant uncertainty here. The true value likely falls between $1.5 billion and $4 billion (±48%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pharma Drug Development Cost (Current System)

Probability Distribution: Pharma Drug Development Cost (Current System)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

Pharma Average Drug Revenue (Current System): $6.7 billion

Median lifetime revenue per successful drug (study of 361 FDA-approved drugs 1995-2014, median follow-up 13.2 years)

Source:101

✓ High confidence • 📊 Peer-reviewed

Annual Life-Years Saved by Pharmaceuticals: 149 million life-years

Annual life-years saved by pharmaceutical innovations globally. Lichtenberg (2019, NBER WP 25483) found that drugs launched after 1981 saved 148.7M life-years in 2013 across 22 countries using 3-way fixed-effects regression (disease-country-year). 95% CI [79.4M, 239.8M] propagated from Table 2 regression standard errors (β₀₋₁₁=-0.031±0.008, β₁₂₊=-0.057±0.013).

Source:102

Uncertainty Range

Technical: 95% CI: [79.4 million life-years, 240 million life-years] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 79.4 million life-years and 240 million life-years (±54%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Annual Life-Years Saved by Pharmaceuticals

Probability Distribution: Annual Life-Years Saved by Pharmaceuticals

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Pharma ROI (Current System): 1.2%

ROI for pharma R&D (2022 historic low from Deloitte study of top 20 pharma companies, down from 6.8% in 2021, recovered to 5.9% in 2024)

Source:103

✓ High confidence • 📊 Peer-reviewed

Pharma Drug Success Rate (Current System): 10%

Percentage of drugs that reach market in current system

Source:104

✓ High confidence • 📊 Peer-reviewed

Phase I-Passed Compounds Globally: 7,500 compounds

Investigational compounds that have passed Phase I globally (midpoint of 5,000-10,000 range)

Source:32

Uncertainty Range

Technical: 95% CI: [5,000 compounds, 10,000 compounds] • Distribution: Uniform

What this means: There’s significant uncertainty here. The true value likely falls between 5,000 compounds and 10,000 compounds (±33%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Phase I-Passed Compounds Globally

Probability Distribution: Phase I-Passed Compounds Globally

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Phase I Safety Trial Duration: 2.3 years

Phase I safety trial duration

Source:32

✓ High confidence • 📊 Peer-reviewed • Updated 2021

Phase 3 Trial Total Cost (Minimum): $20 million

Phase 3 trial total cost (minimum)

Source:105

✓ High confidence

Pragmatic Trial Median Cost per Patient (PMC Review): $97

Median cost per patient in embedded pragmatic clinical trials (Ramsberg & Platt 2018: 108 trials reviewed, 64 with cost data). IQR: $19-$478 (2015 USD).

Source:106

Uncertainty Range

Technical: 95% CI: [$19, $478] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $19 and $478 (±237%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pragmatic Trial Median Cost per Patient (PMC Review)

Probability Distribution: Pragmatic Trial Median Cost per Patient (PMC Review)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Fossil Fuel Subsidies: $1.3 trillion

Global explicit fossil fuel subsidies (governments undercharging for energy supply costs). IMF 2022 estimate. These subsidies actively encourage consumption of negative-externality goods, working against climate goals. Note: IMF implicit subsidies (externalities) are much larger (~$7T).

Source:57

Uncertainty Range

Technical: 95% CI: [$1.1 trillion, $1.5 trillion] • Distribution: Normal (SE: $100 billion)

What this means: This estimate has moderate uncertainty. The true value likely falls between $1.1 trillion and $1.5 trillion (±15%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Global Fossil Fuel Subsidies

Probability Distribution: Global Fossil Fuel Subsidies

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Health Opportunity Cost: $34 trillion

Annual opportunity cost of slow-motion regulatory environment for health innovation. Murphy-Topel (2006) valued cancer cure at $50T (inflation-adjusted ~$100T in 2025). Longevity dividend of 1 extra year = $38T globally. PCTs could accelerate cures by 10+ years; NPV of 10-year delay at 3% discount = ~$25T. Conservative estimate: $34T annually in lives lost and healthspan denied.

Source:57

Uncertainty Range

Technical: 95% CI: [$20 trillion, $80 trillion] • Distribution: Lognormal (SE: $15 trillion)

What this means: This estimate is highly uncertain. The true value likely falls between $20 trillion and $80 trillion (±88%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Global Health Opportunity Cost

Probability Distribution: Global Health Opportunity Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

? Low confidence

Global Lead Poisoning Cost: $6 trillion

Global cost of lead exposure: World Bank/Lancet estimate. 765 million IQ points lost annually, 5.5 million premature CVD deaths. Cost to eliminate lead from paint, spices, batteries is trivial compared to damage. This is an arbitrage opportunity of immense scale that governance has failed to execute.

Source:57

Uncertainty Range

Technical: 95% CI: [$4 trillion, $8 trillion] • Distribution: Normal (SE: $1 trillion)

What this means: There’s significant uncertainty here. The true value likely falls between $4 trillion and $8 trillion (±33%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Global Lead Poisoning Cost

Probability Distribution: Global Lead Poisoning Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Global Migration Opportunity Cost: $57 trillion

Unrealized output from migration restrictions. Clemens (2011) estimated eliminating labor mobility barriers could increase global GDP by 50-150%. At $115T global GDP, Clemens lower bound = $57T; upper bound = $170T. The estimate is controversial: critics argue it assumes full global labor mobility and ignores fiscal and social adjustment costs. Skeptical lower bound: ~$5T (partial reforms only). Even 5% workforce mobility would generate trillions, exceeding all foreign aid ever given. This is the largest and most uncertain single component of the dysfunction tax.

Source:57

Uncertainty Range

Technical: 95% CI: [$5 trillion, $170 trillion] • Distribution: Lognormal (SE: $30 trillion)

What this means: This estimate is highly uncertain. The true value likely falls between $5 trillion and $170 trillion (±145%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Global Migration Opportunity Cost

Probability Distribution: Global Migration Opportunity Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

? Low confidence

Global Science Opportunity Cost: $4 trillion

Annual opportunity cost from underfunding high-ROI science (fusion, AI safety). Human Genome Project: $3.8B cost, $796B-1T impact (141:1 ROI). Fusion DEMO plant: $5-10B could solve energy/climate permanently. AI safety: <5% of capabilities spending despite existential stakes. Reallocating $200B from military waste at 20x multiplier = $4T foregone growth.

Source:57

Uncertainty Range

Technical: 95% CI: [$2 trillion, $10 trillion] • Distribution: Lognormal (SE: $2 trillion)

What this means: This estimate is highly uncertain. The true value likely falls between $2 trillion and $10 trillion (±100%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Global Science Opportunity Cost

Probability Distribution: Global Science Opportunity Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

? Low confidence

Political Success Probability: 1%

Estimated probability of treaty ratification and sustained implementation. Central estimate 1% is conservative. This assumes 99% chance of failure.

Source:108

Uncertainty Range

Technical: 95% CI: [0.1%, 10%] • Distribution: Beta (SE: 2%)

What this means: This estimate is highly uncertain. The true value likely falls between 0.1% and 10% (±495%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The beta distribution means values are bounded and can skew toward one end.

Input Distribution

Probability Distribution: Political Success Probability

Probability Distribution: Political Success Probability

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

? Low confidence

Post-Office Career Value (per politician): $10 million

Net present value of post-office career premium for average congressperson (10 years x $1M/year premium). Based on documented cases: Gephardt $7M/year, Daschle $2M+/year.

Source:109

Uncertainty Range

Technical: 95% CI: [$5 million, $20 million]

What this means: This estimate is highly uncertain. The true value likely falls between $5 million and $20 million (±75%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Post-Office Career Value (per politician)

Probability Distribution: Post-Office Career Value (per politician)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Post-1962 Drug Approval Reduction: 70%

Reduction in new drug approvals after 1962 Kefauver-Harris Amendment (70% drop from 43→17 drugs/year)

Source:110

✓ High confidence • Updated 1962-1970

Pre-1962 Drug Development Cost (1980 Dollars): $6.5 million

Average drug development cost before 1962 FDA efficacy regulations, adjusted to 1980 dollars (Baily 1972)

Source:111

Uncertainty Range

Technical: 95% CI: [$5.2 million, $7.8 million] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $5.2 million and $7.8 million (±20%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pre-1962 Drug Development Cost (1980 Dollars)

Probability Distribution: Pre-1962 Drug Development Cost (1980 Dollars)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

Pre-1962 Drug Development Cost (2024 Dollars): $24.7 million

Pre-1962 drug development cost adjusted to 2024 dollars ($6.5M × 3.80 = $24.7M, CPI-adjusted from Baily 1972)

Source:111

Uncertainty Range

Technical: 95% CI: [$19.5 million, $30 million] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $19.5 million and $30 million (±21%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pre-1962 Drug Development Cost (2024 Dollars)

Probability Distribution: Pre-1962 Drug Development Cost (2024 Dollars)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

Pre-1962 Physician Count (Unverified): 144 thousand physicians

Estimated physicians conducting real-world efficacy trials pre-1962 (unverified estimate)

Source:112

? Low confidence

Total Number of Rare Diseases Globally: 7,000 diseases

Total number of rare diseases globally

Source:113

Uncertainty Range

Technical: 95% CI: [6,000 diseases, 10,000 diseases] • Distribution: Normal

What this means: There’s significant uncertainty here. The true value likely falls between 6,000 diseases and 10,000 diseases (±29%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Total Number of Rare Diseases Globally

Probability Distribution: Total Number of Rare Diseases Globally

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Recovery Trial Cost per Patient: $500

RECOVERY trial cost per patient. Note: RECOVERY was an outlier - hospital-based during COVID emergency, minimal extra procedures, existing NHS infrastructure, streamlined consent. Replicating this globally will be harder.

Source:114

Uncertainty Range

Technical: 95% CI: [$400, $2,500] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $400 and $2,500 (±210%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Recovery Trial Cost per Patient

Probability Distribution: Recovery Trial Cost per Patient

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

RECOVERY Trial Global Lives Saved: 1 million lives

Estimated lives saved globally by RECOVERY trial’s dexamethasone discovery. NHS England estimate (March 2021). Based on Águas et al. Nature Communications 2021 methodology applying RECOVERY trial mortality reductions (36% ventilated, 18% oxygen) to global COVID hospitalizations. Wide uncertainty range reflects extrapolation assumptions.

Source:115

Uncertainty Range

Technical: 95% CI: [500 thousand lives, 2 million lives] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 500 thousand lives and 2 million lives (±75%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: RECOVERY Trial Global Lives Saved

Probability Distribution: RECOVERY Trial Global Lives Saved

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

RECOVERY Trial Total Cost: $20 million

Total cost of UK RECOVERY trial. Enrolled tens of thousands of patients across multiple treatment arms. Discovered dexamethasone reduces COVID mortality by ~1/3 in severe cases.

Source:97

Uncertainty Range

Technical: 95% CI: [$15 million, $25 million] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $15 million and $25 million (±25%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: RECOVERY Trial Total Cost

Probability Distribution: RECOVERY Trial Total Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Mean Age of Preventable Death from Post-Safety Efficacy Delay: 62 years

Mean age of preventable death from post-safety efficacy testing regulatory delay (Phase 2-4)

Source:5

Uncertainty Range

Technical: Distribution: Normal (SE: 3 years)

Input Distribution

Probability Distribution: Mean Age of Preventable Death from Post-Safety Efficacy Delay

Probability Distribution: Mean Age of Preventable Death from Post-Safety Efficacy Delay

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence • 📊 Peer-reviewed

Pre-Death Suffering Period During Post-Safety Efficacy Delay: 6 years

Pre-death suffering period during post-safety efficacy testing delay (average years lived with untreated condition while awaiting Phase 2-4 completion)

Source:5

Uncertainty Range

Technical: 95% CI: [4 years, 9 years] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between 4 years and 9 years (±42%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pre-Death Suffering Period During Post-Safety Efficacy Delay

Probability Distribution: Pre-Death Suffering Period During Post-Safety Efficacy Delay

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence • 📊 Peer-reviewed

September 11 Deaths: 2,977 people

Total deaths in the September 11, 2001 attacks. 2,977 victims (excluding 19 hijackers). Used as a reference point for scale comparisons.

Source:118

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Global Listed Equity Market Capitalization: $115 trillion

Approximate global market capitalization of listed domestic companies. The 2024 World Bank series is about $115 trillion; the interval allows for market movement, coverage differences, and listed-company definition differences.

Source:116

Uncertainty Range

Technical: 95% CI: [$90 trillion, $140 trillion] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $90 trillion and $140 trillion (±22%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Global Listed Equity Market Capitalization

Probability Distribution: Global Listed Equity Market Capitalization

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

SE Bot LLM Cost Per Post: $0.006

Model inference cost to draft one correction reply. Central case assumes roughly 1,000 input tokens plus 300 output tokens using a Sonnet-class model with some prompt caching or batch routing. The interval spans Haiku-class routing, Sonnet batch discounts, longer replies, and retries.

Source:117

Uncertainty Range

Technical: 95% CI: [$0.002, $0.03] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $0.002 and $0.03 (±233%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: SE Bot LLM Cost Per Post

Probability Distribution: SE Bot LLM Cost Per Post

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Singapore Life Expectancy: 84.1 years

Singapore life expectancy at birth. 6.6 years LONGER than US (84.1 vs 77.5) despite government spending at less than half the rate.

Source:121

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Return on Investment from Smallpox Eradication Campaign: 280:1

Return on investment from smallpox eradication campaign

Source:122

✓ High confidence

Standard Economic Value per QALY: $150,000

Standard economic value per QALY

Source:124

Uncertainty Range

Technical: Distribution: Normal (SE: $30,000)

Input Distribution

Probability Distribution: Standard Economic Value per QALY

Probability Distribution: Standard Economic Value per QALY

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Annual Cost of Sugar Subsidies per Person: $10

Annual cost of sugar subsidies per person

Source:125

✓ High confidence

Switzerland’s Defense Spending as Percentage of GDP: 0.7%

Switzerland’s defense spending as percentage of GDP (0.7%)

Source:126

✓ High confidence

Switzerland GDP per Capita: $93,000

Switzerland GDP per capita

Source:127

✓ High confidence

Switzerland Life Expectancy: 84 years

Switzerland life expectancy at birth. 6.5 years LONGER than US (84.0 vs 77.5) despite lower government spending as % of GDP.

Source:121

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Deaths from 9/11 Terrorist Attacks: 2,996 deaths

Deaths from 9/11 terrorist attacks

Source:2

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Thalidomide Cases Worldwide: 15,000 cases

Total thalidomide birth defect cases worldwide (1957-1962)

Source:130

Uncertainty Range

Technical: 95% CI: [10,000 cases, 20,000 cases] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between 10,000 cases and 20,000 cases (±33%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Thalidomide Cases Worldwide

Probability Distribution: Thalidomide Cases Worldwide

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Thalidomide Disability Weight: 0.4:1

Disability weight for thalidomide survivors (limb deformities, organ damage)

Source:131

Uncertainty Range

Technical: 95% CI: [0.32:1, 0.48:1] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between 0.32:1 and 0.48:1 (±20%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Thalidomide Disability Weight

Probability Distribution: Thalidomide Disability Weight

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Thalidomide Mortality Rate: 40%

Mortality rate for thalidomide-affected infants (died within first year)

Source:130

Uncertainty Range

Technical: 95% CI: [35%, 45%] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between 35% and 45% (±13%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Thalidomide Mortality Rate

Probability Distribution: Thalidomide Mortality Rate

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Thalidomide Survivor Lifespan: 60 years

Average lifespan for thalidomide survivors

Source:131

Uncertainty Range

Technical: 95% CI: [50 years, 70 years] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between 50 years and 70 years (±17%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Thalidomide Survivor Lifespan

Probability Distribution: Thalidomide Survivor Lifespan

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

US Population Share 1960: 6%

US share of world population in 1960

Source:132

Uncertainty Range

Technical: 95% CI: [5.5%, 6.5%] • Distribution: Lognormal

What this means: We’re quite confident in this estimate. The true value likely falls between 5.5% and 6.5% (±8%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: US Population Share 1960

Probability Distribution: US Population Share 1960

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Phase 3 Cost per Patient: $41,000

Phase 3 cost per patient (median from FDA study)

Source:133

Uncertainty Range

Technical: 95% CI: [$20,000, $120,000] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $20,000 and $120,000 (±122%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Phase 3 Cost per Patient

Probability Distribution: Phase 3 Cost per Patient

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Treatment Disability Reduction: 0.25 weight

Average disability weight reduction from pharmaceutical treatment. Untreated chronic disease averages 0.35 disability weight, treated disease averages 0.10, difference is 0.25.

Source:134

Uncertainty Range

Technical: 95% CI: [0.15 weight, 0.35 weight] • Distribution: Normal

What this means: There’s significant uncertainty here. The true value likely falls between 0.15 weight and 0.35 weight (±40%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Treatment Disability Reduction

Probability Distribution: Treatment Disability Reduction

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence • 📊 Peer-reviewed

US Alzheimer’s Annual Cost: $355 billion

Annual US cost of Alzheimer’s disease (direct and indirect)

Source:135

Uncertainty Range

Technical: 95% CI: [$302 billion, $408 billion] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $302 billion and $408 billion (±15%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: US Alzheimer’s Annual Cost

Probability Distribution: US Alzheimer’s Annual Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

US Cancer Annual Cost: $208 billion

Annual US cost of cancer (direct and indirect)

Source:136

Uncertainty Range

Technical: 95% CI: [$177 billion, $239 billion] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $177 billion and $239 billion (±15%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: US Cancer Annual Cost

Probability Distribution: US Cancer Annual Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

US Diabetes Annual Cost: $327 billion

Annual US cost of diabetes (direct and indirect)

Source:138

Uncertainty Range

Technical: 95% CI: [$278 billion, $376 billion] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $278 billion and $376 billion (±15%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: US Diabetes Annual Cost

Probability Distribution: US Diabetes Annual Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

US Federal Spending (FY2024): $6.8 trillion

US federal government spending in FY2024. CBO reports outlays of $6.8T (23.9% of GDP). Includes mandatory spending, discretionary spending, and net interest ($888B).

Source:139

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

US Federal Discretionary Spending (FY2024): $1.7 trillion

US federal discretionary spending in FY2024. Approximately $886B defense + ~$814B non-defense discretionary = ~$1.7T. Used as denominator for discretionary efficiency rating (Cat 1 waste items are discretionary/fungible).

Source:139

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

US GDP (2024): $28.8 trillion

US GDP in 2024 dollars for calculating policy costs as percentage of GDP.

Source:140

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Agricultural Subsidies Deadweight Loss: $75 billion

Deadweight loss from US agricultural subsidies. Direct subsidies ~$30B/yr but create larger distortions: overproduction, environmental damage, benefits concentrated in large farms (top 10% receive 78% of subsidies). Total welfare loss ~$75B. Textbook example of capture; very high economist consensus. [CATEGORY 1: Direct Spending]

Source:141

Uncertainty Range

Technical: 95% CI: [$50 billion, $120 billion] • Distribution: Lognormal (SE: $25 billion)

What this means: There’s significant uncertainty here. The true value likely falls between $50 billion and $120 billion (±47%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Agricultural Subsidies Deadweight Loss

Probability Distribution: Agricultural Subsidies Deadweight Loss

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Corporate Welfare Waste: $181 billion

Direct US federal corporate welfare: subsidies to agriculture ($16.4B), green energy tax credits, semiconductor aid, aviation support. Agricultural subsidies are highly regressive (top 10% receive 63%). Cato Institute forensic tally. [CATEGORY 1: Direct Spending]

Source:57

Uncertainty Range

Technical: 95% CI: [$150 billion, $220 billion] • Distribution: Normal (SE: $20 billion)

What this means: This estimate has moderate uncertainty. The true value likely falls between $150 billion and $220 billion (±19%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Corporate Welfare Waste

Probability Distribution: Corporate Welfare Waste

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Drug War Cost: $90 billion

Annual cost of drug war: ~$41B federal drug control budget, ~$10B state/local enforcement, ~$40B incarceration and lost productivity. After 50+ years and $1T+ spent, drug use is higher than ever. [CATEGORY 1: Direct Spending]

Source:142

Uncertainty Range

Technical: 95% CI: [$60 billion, $150 billion] • Distribution: Lognormal (SE: $30 billion)

What this means: There’s significant uncertainty here. The true value likely falls between $60 billion and $150 billion (±50%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Drug War Cost

Probability Distribution: Drug War Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Fossil Fuel Subsidies (Explicit): $50 billion

US explicit fossil fuel subsidies (direct payments, tax breaks). IMF estimates US total subsidies at $649B but ~92% is implicit (externalities). This figure includes only explicit subsidies (~$50B) for defensibility. [CATEGORY 1: Direct Spending]

Source:143

Uncertainty Range

Technical: 95% CI: [$30 billion, $80 billion] • Distribution: Lognormal (SE: $15 billion)

What this means: There’s significant uncertainty here. The true value likely falls between $30 billion and $80 billion (±50%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Fossil Fuel Subsidies (Explicit)

Probability Distribution: Fossil Fuel Subsidies (Explicit)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Healthcare System Inefficiency: $1.2 trillion

US healthcare spending inefficiency. US spends ~$4.5T/yr (18% GDP) vs 9-11% in comparable OECD countries with similar/better outcomes. Papanicolas et al. (2018 JAMA) and multiple studies document $1-1.5T in excess spending from administrative complexity, high prices, and poor care coordination. Very high economist consensus. [CATEGORY 4: System Inefficiency]

Source:144

Uncertainty Range

Technical: 95% CI: [$1 trillion, $1.5 trillion] • Distribution: Normal (SE: $150 billion)

What this means: This estimate has moderate uncertainty. The true value likely falls between $1 trillion and $1.5 trillion (±21%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Healthcare System Inefficiency

Probability Distribution: Healthcare System Inefficiency

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Housing/Zoning Restrictions Cost: $1.4 trillion

GDP loss from housing/zoning restrictions. Original Hsieh-Moretti (2019 AEJ:Macro) estimate of 36% GDP growth reduction was substantially revised by Greaney (2023). Current $1.4T represents a moderate estimate; revised lower bound implies ~$500B. [CATEGORY 3: GDP Loss]

Source:145

Uncertainty Range

Technical: 95% CI: [$500 billion, $2 trillion] • Distribution: Lognormal (SE: $300 billion)

What this means: This estimate is highly uncertain. The true value likely falls between $500 billion and $2 trillion (±54%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Housing/Zoning Restrictions Cost

Probability Distribution: Housing/Zoning Restrictions Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Military Overspend: $615 billion

US military spending above ‘Strict Deterrence’ baseline. Current budget ~$900B supports global power projection (750+ bases). Strict Deterrence (nuclear triad $95B, Coast Guard $14B, National Guard $33B, Missile Defense $28B, Cyber $15B, defensive Navy/Air Force $100B) = ~$285B. Delta: $900B - $285B = $615B ‘Hegemony Tax’. [CATEGORY 1: Direct Spending]

Source:57

Uncertainty Range

Technical: 95% CI: [$500 billion, $750 billion] • Distribution: Normal (SE: $75 billion)

What this means: This estimate has moderate uncertainty. The true value likely falls between $500 billion and $750 billion (±20%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Military Overspend

Probability Distribution: Military Overspend

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Regulatory Red Tape Waste: $580 billion

Deadweight loss from US regulatory red tape (procedural friction without safety benefits). Competitive Enterprise Institute estimates total regulatory burden at $2.15T; European studies find red tape costs 0.1-4% of GDP. Conservative estimate: ~2% of US GDP = $580B. [CATEGORY 2: Compliance Burden]

Source:57

Uncertainty Range

Technical: 95% CI: [$290 billion, $1 trillion] • Distribution: Lognormal (SE: $200 billion)

What this means: This estimate is highly uncertain. The true value likely falls between $290 billion and $1 trillion (±61%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Regulatory Red Tape Waste

Probability Distribution: Regulatory Red Tape Waste

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Tariff Cost (GDP Loss): $160 billion

Annual GDP reduction from US tariffs and retaliation. Yale Budget Lab estimates 0.6% smaller GDP in long run, equivalent to $160B annually. Trade barriers reduce efficiency and raise consumer prices. [CATEGORY 3: GDP Loss]

Source:146

Uncertainty Range

Technical: 95% CI: [$90 billion, $250 billion] • Distribution: Normal (SE: $50 billion)

What this means: There’s significant uncertainty here. The true value likely falls between $90 billion and $250 billion (±50%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Tariff Cost (GDP Loss)

Probability Distribution: Tariff Cost (GDP Loss)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Tax Compliance Waste: $546 billion

Annual cost of US tax code compliance: 7.9 billion hours of lost productivity ($413B) plus $133B in out-of-pocket costs. Equals nearly 2% of GDP. Could be largely eliminated with simplified tax code or return-free filing. [CATEGORY 2: Compliance Burden]

Source:147

Uncertainty Range

Technical: 95% CI: [$450 billion, $650 billion] • Distribution: Normal (SE: $50 billion)

What this means: This estimate has moderate uncertainty. The true value likely falls between $450 billion and $650 billion (±18%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Tax Compliance Waste

Probability Distribution: Tax Compliance Waste

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

US Heart Disease Annual Cost: $363 billion

Annual US cost of heart disease and stroke (direct and indirect)

Source:148

Uncertainty Range

Technical: 95% CI: [$309 billion, $417 billion] • Distribution: Lognormal

What this means: This estimate has moderate uncertainty. The true value likely falls between $309 billion and $417 billion (±15%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: US Heart Disease Annual Cost

Probability Distribution: US Heart Disease Annual Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence • 📊 Peer-reviewed

US Military Spending in 1939 (Constant 2024 Dollars): $29 billion

US military spending in 1939 (pre-WW2 baseline) in constant 2024 dollars

Source:153

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

US Military Spending at WW2 Peak (Constant 2024 Dollars): $1.42 trillion

US military spending at WW2 peak (1945) in constant 2024 dollars

Source:153

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

US Military Spending in 1947 (Constant 2024 Dollars): $176 billion

US military spending in 1947 (post-WW2 trough, 2 years after peak) in constant 2024 dollars

Source:153

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

US Military Spending in 2024: $886 billion

US military spending in 2024 in constant dollars

Source:153

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

US Military Spending as Percentage of GDP: 3.5%

US military spending as percentage of GDP (2024)

Source:154

✓ High confidence

US Population in 2024: 335 million people

US population in 2024

Source:155

Uncertainty Range

Technical: 95% CI: [330 million people, 340 million people] • Distribution: Lognormal

What this means: We’re quite confident in this estimate. The true value likely falls between 330 million people and 340 million people (±1%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: US Population in 2024

Probability Distribution: US Population in 2024

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Senators for Treaty Ratification: 67 senators

Senators needed for treaty ratification (2/3 majority per Article II, Section 2)

Source:156

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

US Federal Campaign Spending (2024): $20 billion

Total US federal election spending in 2024 cycle including presidential, congressional, party committees, and PACs. Source: FEC Statistical Summary 2024.

Source:157

Uncertainty Range

Technical: 95% CI: [$18 billion, $22 billion]

What this means: We’re quite confident in this estimate. The true value likely falls between $18 billion and $22 billion (±10%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: US Federal Campaign Spending (2024)

Probability Distribution: US Federal Campaign Spending (2024)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

US Total Lobbying (2024): $4.4 billion

Total US federal lobbying expenditure in 2024 (record year). Source: OpenSecrets.

Source:158

Uncertainty Range

Technical: 95% CI: [$3.74 billion, $5.06 billion]

What this means: This estimate has moderate uncertainty. The true value likely falls between $3.74 billion and $5.06 billion (±15%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: US Total Lobbying (2024)

Probability Distribution: US Total Lobbying (2024)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Probability of Decisive Vote (US): 1 in 60 million

Probability of a single vote being decisive in a US presidential election. Gelman, Silver, and Edlin (2012) estimate roughly 1 in 60 million on average, varying by state from 1 in 10 million (swing states) to 1 in 1 billion (safe states).

Source:159

Uncertainty Range

Technical: Distribution: Fixed

✓ High confidence

Valley of Death Attrition Rate: 40%

Percentage of promising Phase 1-passed compounds abandoned primarily due to Phase 2/3 cost barriers (not scientific failure). Conservative estimate: many rare disease, natural compound, and low-margin drugs never tested.

Source:160

Uncertainty Range

Technical: 95% CI: [25%, 55%] • Distribution: Uniform

What this means: There’s significant uncertainty here. The true value likely falls between 25% and 55% (±38%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Valley of Death Attrition Rate

Probability Distribution: Valley of Death Attrition Rate

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

~ Medium confidence

Value of Statistical Life: $10 million

Value of Statistical Life (conservative estimate)

Source:161

Uncertainty Range

Technical: 95% CI: [$5 million, $15 million] • Distribution: Gamma (SE: $3 million)

What this means: There’s significant uncertainty here. The true value likely falls between $5 million and $15 million (±50%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The gamma distribution means values follow a specific statistical pattern.

Input Distribution

Probability Distribution: Value of Statistical Life

Probability Distribution: Value of Statistical Life

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Venture Capital Gross Return: 17%

Venture capital / private equity gross return (before 2-and-20 fees). Cambridge Associates US VC index 25-year pooled gross IRR. The Prize Fund charges zero fees, so gross return is the correct baseline. Lockup premium is already embedded: VC/PE IS illiquid.

Uncertainty Range

Technical: 95% CI: [13%, 22%] • Distribution: Normal

What this means: There’s significant uncertainty here. The true value likely falls between 13% and 22% (±26%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Venture Capital Gross Return

Probability Distribution: Venture Capital Gross Return

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

✓ High confidence

Vitamin A Supplementation Cost per DALY: $37

Cost per DALY for vitamin A supplementation programs (India: $23-50; Africa: $40-255; wide variation by region and baseline VAD prevalence). Using India midpoint as conservative estimate.

Source:162

~ Medium confidence

1900 Military Spending Freeze Baseline: $66.1 billion

Global military spending in 1900 in constant 2023 USD, from the Correlates of War National Material Capabilities (NMC) dataset (knowledge/data/global-military-spending-1900-2024-constant-2023-usd.csv, COW_NMC source). Used as the annual real spending cap in the 1900-freeze counterfactual.

Source:163

Uncertainty Range

Technical: 95% CI: [$50 billion, $90 billion] • Distribution: Uniform

What this means: There’s significant uncertainty here. The true value likely falls between $50 billion and $90 billion (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: 1900 Military Spending Freeze Baseline

Probability Distribution: 1900 Military Spending Freeze Baseline

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

? Low confidence

Return on Investment from Water Fluoridation Programs: 23:1

Return on investment from water fluoridation programs

Source:164

✓ High confidence

Cost-Effectiveness Threshold ($50,000/QALY): $50,000

Cost-effectiveness threshold widely used in US health economics ($50,000/QALY, from 1980s dialysis costs)

Source:165

✓ High confidence

Core Definitions

Fundamental parameters and constants used throughout the analysis.

ADAPTABLE Trial Patients Enrolled: 15,076 patients

Patients enrolled in ADAPTABLE trial (PCORnet 2016-2019). Enrolled across 40 clinical sites. Precise count from trial completion records.

Core definition

Annual Working Hours: 2,000 hours/year

Standard annual working hours globally. Approximately 40 hours/week x 50 weeks. ILO estimates range from 1,800-2,200 across countries; 2,000 is conventional.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Approved Drug-Disease Pairings: 1,750 pairings

Unique approved drug-disease pairings (FDA-approved uses, midpoint of 1,500-2,000 range)

Uncertainty Range

Technical: 95% CI: [1,500 pairings, 2,000 pairings] • Distribution: Uniform

What this means: This estimate has moderate uncertainty. The true value likely falls between 1,500 pairings and 2,000 pairings (±14%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Approved Drug-Disease Pairings

Probability Distribution: Approved Drug-Disease Pairings

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Average Life Extension per Beneficiary: 12 years

Average years of life extension per person saved by pharmaceutical interventions. Assumption used to convert life-years saved to approximate lives saved. Based on Lichtenberg’s methodology where life-years are calculated from Years of Life Lost (YLL) reductions.

Uncertainty Range

Technical: 95% CI: [8 years, 18 years] • Distribution: Triangular

What this means: There’s significant uncertainty here. The true value likely falls between 8 years and 18 years (±42%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The triangular distribution means values cluster around a most-likely point but can range higher or lower.

Input Distribution

Probability Distribution: Average Life Extension per Beneficiary

Probability Distribution: Average Life Extension per Beneficiary

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Celebrity and Influencer Endorsements: $15 million

Celebrity and influencer endorsements

Uncertainty Range

Technical: 95% CI: [$10.5 million, $19.5 million]

What this means: There’s significant uncertainty here. The true value likely falls between $10.5 million and $19.5 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Celebrity and Influencer Endorsements

Probability Distribution: Celebrity and Influencer Endorsements

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Community Organizing and Ambassador Program Budget: $30 million

Community organizing and ambassador program budget

Uncertainty Range

Technical: 95% CI: [$21 million, $39 million]

What this means: There’s significant uncertainty here. The true value likely falls between $21 million and $39 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Community Organizing and Ambassador Program Budget

Probability Distribution: Community Organizing and Ambassador Program Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Contingency Fund for Unexpected Costs: $50 million

Contingency fund for unexpected costs

Uncertainty Range

Technical: 95% CI: [$30 million, $80 million] • Distribution: Uniform

What this means: There’s significant uncertainty here. The true value likely falls between $30 million and $80 million (±50%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Contingency Fund for Unexpected Costs

Probability Distribution: Contingency Fund for Unexpected Costs

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Defense Industry Conversion Program: $50 million

Defense industry conversion program

Uncertainty Range

Technical: 95% CI: [$40 million, $70 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $40 million and $70 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Defense Industry Conversion Program

Probability Distribution: Defense Industry Conversion Program

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Budget for Co-Opting Defense Industry Lobbyists: $50 million

Budget for co-opting defense industry lobbyists

Uncertainty Range

Technical: 95% CI: [$35 million, $65 million]

What this means: There’s significant uncertainty here. The true value likely falls between $35 million and $65 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Budget for Co-Opting Defense Industry Lobbyists

Probability Distribution: Budget for Co-Opting Defense Industry Lobbyists

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Healthcare Industry Alignment and Partnerships: $35 million

Healthcare industry alignment and partnerships

Uncertainty Range

Technical: 95% CI: [$24.5 million, $45.5 million]

What this means: There’s significant uncertainty here. The true value likely falls between $24.5 million and $45.5 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Healthcare Industry Alignment and Partnerships

Probability Distribution: Healthcare Industry Alignment and Partnerships

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Campaign Operational Infrastructure: $20 million

Campaign operational infrastructure

Uncertainty Range

Technical: 95% CI: [$14 million, $26 million]

What this means: There’s significant uncertainty here. The true value likely falls between $14 million and $26 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Campaign Operational Infrastructure

Probability Distribution: Campaign Operational Infrastructure

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

EU Lobbying Campaign Budget: $40 million

EU lobbying campaign budget

Uncertainty Range

Technical: 95% CI: [$28 million, $52 million]

What this means: There’s significant uncertainty here. The true value likely falls between $28 million and $52 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: EU Lobbying Campaign Budget

Probability Distribution: EU Lobbying Campaign Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

G20 Countries Lobbying Budget: $35 million

G20 countries lobbying budget

Core definition

US Lobbying Campaign Budget: $50 million

US lobbying campaign budget

Uncertainty Range

Technical: 95% CI: [$35 million, $65 million]

What this means: There’s significant uncertainty here. The true value likely falls between $35 million and $65 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: US Lobbying Campaign Budget

Probability Distribution: US Lobbying Campaign Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Maximum Mass Media Campaign Budget: $1 billion

Maximum mass media campaign budget

Uncertainty Range

Technical: 95% CI: [$700 million, $1.3 billion]

What this means: There’s significant uncertainty here. The true value likely falls between $700 million and $1.3 billion (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Maximum Mass Media Campaign Budget

Probability Distribution: Maximum Mass Media Campaign Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Minimum Mass Media Campaign Budget: $500 million

Minimum mass media campaign budget

Uncertainty Range

Technical: 95% CI: [$350 million, $650 million]

What this means: There’s significant uncertainty here. The true value likely falls between $350 million and $650 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Minimum Mass Media Campaign Budget

Probability Distribution: Minimum Mass Media Campaign Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Opposition Research and Rapid Response: $25 million

Opposition research and rapid response

Uncertainty Range

Technical: 95% CI: [$17.5 million, $32.5 million]

What this means: There’s significant uncertainty here. The true value likely falls between $17.5 million and $32.5 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Opposition Research and Rapid Response

Probability Distribution: Opposition Research and Rapid Response

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Phase 1 Campaign Budget: $200 million

Phase 1 campaign budget (Foundation, Year 1)

Uncertainty Range

Technical: 95% CI: [$140 million, $260 million]

What this means: There’s significant uncertainty here. The true value likely falls between $140 million and $260 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Phase 1 Campaign Budget

Probability Distribution: Phase 1 Campaign Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Phase 2 Campaign Budget: $500 million

Phase 2 campaign budget (Scale & Momentum, Years 2-3)

Uncertainty Range

Technical: 95% CI: [$350 million, $650 million]

What this means: There’s significant uncertainty here. The true value likely falls between $350 million and $650 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Phase 2 Campaign Budget

Probability Distribution: Phase 2 Campaign Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Pilot Program Testing in Small Countries: $30 million

Pilot program testing in small countries

Uncertainty Range

Technical: 95% CI: [$21 million, $39 million]

What this means: There’s significant uncertainty here. The true value likely falls between $21 million and $39 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Pilot Program Testing in Small Countries

Probability Distribution: Pilot Program Testing in Small Countries

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Voting Platform and Technology Development: $35 million

Voting platform and technology development

Uncertainty Range

Technical: 95% CI: [$25 million, $50 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $25 million and $50 million (±36%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Voting Platform and Technology Development

Probability Distribution: Voting Platform and Technology Development

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Regulatory Compliance and Navigation: $20 million

Regulatory compliance and navigation

Uncertainty Range

Technical: 95% CI: [$14 million, $26 million]

What this means: There’s significant uncertainty here. The true value likely falls between $14 million and $26 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Regulatory Compliance and Navigation

Probability Distribution: Regulatory Compliance and Navigation

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Scaling Preparation and Blueprints: $30 million

Scaling preparation and blueprints

Uncertainty Range

Technical: 95% CI: [$21 million, $39 million]

What this means: There’s significant uncertainty here. The true value likely falls between $21 million and $39 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Scaling Preparation and Blueprints

Probability Distribution: Scaling Preparation and Blueprints

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Campaign Core Team Staff Budget: $40 million

Campaign core team staff budget

Uncertainty Range

Technical: 95% CI: [$28 million, $52 million]

What this means: There’s significant uncertainty here. The true value likely falls between $28 million and $52 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Campaign Core Team Staff Budget

Probability Distribution: Campaign Core Team Staff Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Super PAC Campaign Expenditures: $30 million

Super PAC campaign expenditures

Uncertainty Range

Technical: 95% CI: [$21 million, $39 million]

What this means: There’s significant uncertainty here. The true value likely falls between $21 million and $39 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Super PAC Campaign Expenditures

Probability Distribution: Super PAC Campaign Expenditures

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Tech Industry Partnerships and Infrastructure: $25 million

Tech industry partnerships and infrastructure

Uncertainty Range

Technical: 95% CI: [$17.5 million, $32.5 million]

What this means: There’s significant uncertainty here. The true value likely falls between $17.5 million and $32.5 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Tech Industry Partnerships and Infrastructure

Probability Distribution: Tech Industry Partnerships and Infrastructure

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Post-Victory Treaty Implementation Support: $40 million

Post-victory treaty implementation support

Uncertainty Range

Technical: 95% CI: [$30 million, $55 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $30 million and $55 million (±31%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Post-Victory Treaty Implementation Support

Probability Distribution: Post-Victory Treaty Implementation Support

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Viral Marketing Content Creation Budget: $40 million

Viral marketing content creation budget

Uncertainty Range

Technical: 95% CI: [$28 million, $52 million]

What this means: There’s significant uncertainty here. The true value likely falls between $28 million and $52 million (±30%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Viral Marketing Content Creation Budget

Probability Distribution: Viral Marketing Content Creation Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Dismissal Rate: 90%

Probability someone dismisses the idea without engaging (the ‘institutionalization rate’)

Uncertainty Range

Technical: 95% CI: [80%, 97%] • Distribution: Beta

What this means: We’re quite confident in this estimate. The true value likely falls between 80% and 97% (±9%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The beta distribution means values are bounded and can skew toward one end.

Input Distribution

Probability Distribution: Dismissal Rate

Probability Distribution: Dismissal Rate

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Effective R: 0.15:1

Effective reproduction number per cascade generation: fraction of viewers who share (5%) x average forwards per sharer (3). CI spans pessimistic (2% x 2 = 0.04) to optimistic (10% x 8 = 0.80).

Uncertainty Range

Technical: 95% CI: [0.04:1, 0.8:1] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 0.04:1 and 0.8:1 (±253%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Effective R

Probability Distribution: Effective R

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Model Horizon: 3 years

Conservative upper bound for cascade propagation (social media cascades propagate in weeks; 3 years allows for slower channels and multiple cascade waves)

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Implementer Orbit Size: 1,000 people

Information-orbit size per implementer: people whose recommendation would reach them (staff, advisors, active social media feeds, professional contacts). Lower bound: Dunbar’s 150; upper: corporate C-suite intake funnel.

Uncertainty Range

Technical: 95% CI: [150 people, 5,000 people] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 150 people and 5,000 people (±242%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Implementer Orbit Size

Probability Distribution: Implementer Orbit Size

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Initial Audience: 50,000 people

Conservative initial audience size (readers, website visitors, conference attendees)

Uncertainty Range

Technical: 95% CI: [10,000 people, 500 thousand people] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 10,000 people and 500 thousand people (±490%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Initial Audience

Probability Distribution: Initial Audience

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

World Leader Count: 195 countries

Number of sovereign heads of state/government

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Concentrated Interest Sector Market Cap: $5 trillion

Estimated combined market capitalization of concentrated interest opposition (defense, fossil fuel, etc.)

Core definition

Corporate Damages Drugs Never Developed Deaths: 300 million deaths

Aggressive prosecutor pleading estimate for deaths from drugs never developed because regulatory cost and misallocated trial capacity suppressed development. Based on the Humanity v. Government exclusion note that drugs never developed may double or triple Count Two; this uses the high end of that pleading range.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Court of Humanity Build Cost: $30 million

One-time cost to build the Court of Humanity. Range reflects digital-first institutional design (no physical courtrooms, no detention, AI-assisted evidence triage, cryptographic provenance, stratified random jury infrastructure). Lower bound: minimal viable institution. Upper bound: fully-staffed initial operations, roughly 27% of one year of ICC operating budget (the ICC funds physical courtrooms, detention, and 425+ staff).

Uncertainty Range

Technical: 95% CI: [$10 million, $50 million] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $10 million and $50 million (±67%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Court of Humanity Build Cost

Probability Distribution: Court of Humanity Build Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Cumulative Military Spending (Fed Era): $170 trillion

Cumulative global military spending since 1913 (Fed era) in constant 2024 dollars. Built from: SIPRI 1988-2024 ($65-72T), Cold War 1946-1987 ($50-70T reconstructed), WWI+WWII+interwar ($33T from Harrison). Range: $150-190T.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Percentage of Budget Military Sector Keeps Under 1% Treaty: 99%

Percentage of budget the military sector keeps under 1% treaty

Core definition

Acquisition Premium Multiplier: 1.8x

Planning multiplier for acquisition premium, execution friction, disclosure timing, and large-position accumulation costs in a counsel-led control campaign

Uncertainty Range

Technical: 95% CI: [1.5x, 3x]

What this means: There’s significant uncertainty here. The true value likely falls between 1.5x and 3x (±42%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Acquisition Premium Multiplier

Probability Distribution: Acquisition Premium Multiplier

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Control Fraction: 0.501:1

Fraction of shares required for board control (50% + 1 share)

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Destructive Economy Base Year: 2025

Base year for destructive economy projections. All threshold timelines are measured from this year.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Reference Annual Pragmatic Trial Funding: $21.8 billion

Reference annual funding level used for direct-funding comparisons. Source-agnostic: funds could come from treaty reallocation, philanthropy, or public appropriation, and are modeled as funding available for pragmatic clinical trials rather than funding owed to any one organization.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Years to Reach Full Pragmatic Trial Platform Adoption: 5 years

Years to reach full pragmatic trial platform adoption

Core definition

Pragmatic Trial Platform Core Framework Annual OPEX: $18.9 million

Pragmatic trial platform core framework annual opex (midpoint of $11-26.5M)

Uncertainty Range

Technical: 95% CI: [$11 million, $26.5 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $11 million and $26.5 million (±41%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pragmatic Trial Platform Core Framework Annual OPEX

Probability Distribution: Pragmatic Trial Platform Core Framework Annual OPEX

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Pragmatic Trial Platform Core Framework Build Cost: $40 million

Pragmatic trial platform core framework build cost

Uncertainty Range

Technical: 95% CI: [$25 million, $65 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $25 million and $65 million (±50%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pragmatic Trial Platform Core Framework Build Cost

Probability Distribution: Pragmatic Trial Platform Core Framework Build Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Stage 1 Observational Analysis Cost per Patient: $0.1

Order-of-magnitude estimate for Stage 1 observational signal detection (PIS calculation). Validated by FDA Sentinel benchmark (~$1/patient/year for similar drug safety analysis at 100M+ scale). True cost varies with scale and complexity; exact value less important than order-of-magnitude difference vs pragmatic trials (~$500-929/patient) and traditional Phase 3 (~$41,000/patient).

Uncertainty Range

Technical: 95% CI: [$0.03, $1] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $0.03 and $1 (±485%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Stage 1 Observational Analysis Cost per Patient

Probability Distribution: Stage 1 Observational Analysis Cost per Patient

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Pragmatic Trial Platform Community Support Costs: $2 million

Pragmatic trial platform community support costs

Uncertainty Range

Technical: 95% CI: [$1 million, $3 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $1 million and $3 million (±50%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pragmatic Trial Platform Community Support Costs

Probability Distribution: Pragmatic Trial Platform Community Support Costs

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Pragmatic Trial Platform Infrastructure Costs: $8 million

Pragmatic trial platform infrastructure costs (cloud, security)

Uncertainty Range

Technical: 95% CI: [$5 million, $12 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $5 million and $12 million (±44%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pragmatic Trial Platform Infrastructure Costs

Probability Distribution: Pragmatic Trial Platform Infrastructure Costs

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Pragmatic Trial Platform Maintenance Costs: $15 million

Pragmatic trial platform maintenance costs

Uncertainty Range

Technical: 95% CI: [$10 million, $22 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $10 million and $22 million (±40%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pragmatic Trial Platform Maintenance Costs

Probability Distribution: Pragmatic Trial Platform Maintenance Costs

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Pragmatic Trial Platform Regulatory Coordination Costs: $5 million

Pragmatic trial platform regulatory coordination costs

Uncertainty Range

Technical: 95% CI: [$3 million, $8 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $3 million and $8 million (±50%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pragmatic Trial Platform Regulatory Coordination Costs

Probability Distribution: Pragmatic Trial Platform Regulatory Coordination Costs

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Pragmatic Trial Platform Staff Costs: $10 million

Pragmatic trial platform staff costs (minimal, AI-assisted)

Uncertainty Range

Technical: 95% CI: [$7 million, $15 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $7 million and $15 million (±40%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Pragmatic Trial Platform Staff Costs

Probability Distribution: Pragmatic Trial Platform Staff Costs

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Target Pragmatic Trial Cost per Patient: $1,000

Target pragmatic trial cost per patient in USD

Core definition

Pragmatic Trial Platform One-Time Build Cost: $40 million

Pragmatic trial platform one-time build cost (central estimate)

Core definition

Pragmatic Trial Platform One-Time Build Cost (Maximum): $46 million

Pragmatic trial platform one-time build cost (high estimate)

Core definition

DIH Broader Initiatives Annual OPEX: $21.1 million

DIH broader initiatives annual opex (medium case)

Uncertainty Range

Technical: 95% CI: [$14 million, $32 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $14 million and $32 million (±43%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: DIH Broader Initiatives Annual OPEX

Probability Distribution: DIH Broader Initiatives Annual OPEX

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

DIH Broader Initiatives Upfront Cost: $230 million

DIH broader initiatives upfront cost (medium case)

Uncertainty Range

Technical: 95% CI: [$150 million, $350 million] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between $150 million and $350 million (±44%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: DIH Broader Initiatives Upfront Cost

Probability Distribution: DIH Broader Initiatives Upfront Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

EOS Stage 1 HII Terminal Value: $330 million

Modeled terminal stage value if the first EOS governance campaign redirects Huntington Ingalls Industries lobbying and creates a credible activist-governance proof point. This is not probability-weighted expected value; the calculator applies probability separately.

Uncertainty Range

Technical: 95% CI: [$100 million, $1 billion] • Distribution: Lognormal (SE: $250 million)

What this means: This estimate is highly uncertain. The true value likely falls between $100 million and $1 billion (±136%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: EOS Stage 1 HII Terminal Value

Probability Distribution: EOS Stage 1 HII Terminal Value

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

EOS Stage 2 Defense-Primes Terminal Value: $7 billion

Modeled terminal stage value if EOS extends the governance campaign from HII to the major U.S. military prime contractors and redirects sector lobbying toward shareholder-positive policy. This is not probability-weighted expected value; the calculator applies probability separately.

Uncertainty Range

Technical: 95% CI: [$1.5 billion, $30 billion] • Distribution: Lognormal (SE: $6 billion)

What this means: This estimate is highly uncertain. The true value likely falls between $1.5 billion and $30 billion (±204%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: EOS Stage 2 Defense-Primes Terminal Value

Probability Distribution: EOS Stage 2 Defense-Primes Terminal Value

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

EOS Stage 3 Lobbying-Sectors Terminal Value: $452 billion

Modeled terminal stage value if EOS applies the same governance pressure across major lobbying-heavy sectors whose current policy positions destroy shareholder value. This is not probability-weighted expected value; the calculator applies probability separately.

Uncertainty Range

Technical: 95% CI: [$100 billion, $2 trillion] • Distribution: Lognormal (SE: $400 billion)

What this means: This estimate is highly uncertain. The true value likely falls between $100 billion and $2 trillion (±210%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: EOS Stage 3 Lobbying-Sectors Terminal Value

Probability Distribution: EOS Stage 3 Lobbying-Sectors Terminal Value

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Eventually Avoidable DALY Percentage: 92.6%

Percentage of DALYs that are eventually avoidable with sufficient biomedical research. Uses same methodology as EVENTUALLY_AVOIDABLE_DEATH_PCT. Most non-fatal chronic conditions (arthritis, depression, chronic pain) are also addressable through research, so the percentage is similar to deaths.

Uncertainty Range

Technical: 95% CI: [50%, 98%] • Distribution: Beta

What this means: There’s significant uncertainty here. The true value likely falls between 50% and 98% (±26%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The beta distribution means values are bounded and can skew toward one end.

Input Distribution

Probability Distribution: Eventually Avoidable DALY Percentage

Probability Distribution: Eventually Avoidable DALY Percentage

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Eventually Avoidable Death Percentage: 92.6%

Percentage of deaths that are eventually avoidable with sufficient biomedical research and technological advancement. Central estimate ~92% based on ~7.9% fundamentally unavoidable (primarily accidents). Wide uncertainty reflects debate over: (1) aging as addressable vs. fundamental, (2) asymptotic difficulty of last diseases, (3) multifactorial disease complexity.

Uncertainty Range

Technical: 95% CI: [50%, 98%] • Distribution: Beta

What this means: There’s significant uncertainty here. The true value likely falls between 50% and 98% (±26%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The beta distribution means values are bounded and can skew toward one end.

Input Distribution

Probability Distribution: Eventually Avoidable Death Percentage

Probability Distribution: Eventually Avoidable Death Percentage

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Minimum Investment for Family Offices: $5 million

Minimum investment for family offices

Core definition

Fundamentally Unavoidable Death Percentage: 7.37%

Percentage of deaths that are fundamentally unavoidable even with perfect biotechnology (primarily accidents). Calculated as Σ(disease_burden × (1 - max_cure_potential)) across all disease categories.

Core definition

Baseline Global GDP Growth Rate: 2.5%

Status-quo baseline annual global GDP growth rate.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Activation Reward per Verified Participant: $5

Planning midpoint for the direct cash incentive required to make a successful verified recruit materially worth sharing at global scale. Intended as a research-backed blended reward across referrer and recruit, not as the long-dated PRIZE claim value.

Uncertainty Range

Technical: 95% CI: [$2, $10] • Distribution: Normal (SE: $1.5)

What this means: This estimate is highly uncertain. The true value likely falls between $2 and $10 (±80%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Activation Reward per Verified Participant

Probability Distribution: Activation Reward per Verified Participant

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Global Coordination Platform and Operations Cost: $4 billion

Fixed cost to run a global activation campaign toward majority-of-humanity participation: platform buildout, localization, customer support, compliance, payout operations, fraud response, and regional launch infrastructure.

Uncertainty Range

Technical: 95% CI: [$2 billion, $8 billion] • Distribution: Normal (SE: $1.5 billion)

What this means: This estimate is highly uncertain. The true value likely falls between $2 billion and $8 billion (±75%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Global Coordination Platform and Operations Cost

Probability Distribution: Global Coordination Platform and Operations Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Verification and Payment Cost per Participant: $1.5

Planning midpoint for non-reward variable cost per successful verified participant: identity verification, payment rails, fraud checks, support, and completion friction.

Uncertainty Range

Technical: 95% CI: [$1, $3] • Distribution: Normal (SE: $0.5)

What this means: This estimate is highly uncertain. The true value likely falls between $1 and $3 (±67%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Verification and Payment Cost per Participant

Probability Distribution: Verification and Payment Cost per Participant

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Effective Tax Rate on Median Earner: 25%

Effective combined tax rate (direct plus indirect) on the global median earner. Applied IDENTICALLY across all scenarios so it shifts levels without affecting any cross-scenario comparison: there is no pro-treaty thumb on this scale. The ‘after-tax’ in the metric name is honesty about levels, not a modeling lever.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Median Share Erosion Rate (Annual): 0%

Annual erosion of the median’s share of mean income (positive = the middle person’s slice shrinks). Best guess ZERO: the GLOBAL median-to-mean ratio ROSE 1990-2019 via between-country convergence (a billion people in Asia got real jobs), so the measured global sign favors the median; the US wedge is the extreme, not the world. The range spans continued convergence (-0.5%/yr, the share keeps growing) to the US-extreme construction applied globally (+0.78%/yr; EPI: productivity +90.2% vs typical pay +33.0%, 1979-2025). Applied IDENTICALLY to the status-quo and treaty branches, so it cancels out of every treaty-vs-current multiplier; Wishonia excludes it (the wishocratic mechanism exists to stop share capture). v1 set this to 0.5%/yr shrinkage as skeptic armor; that was deliberate conservatism, replaced by deliberate accuracy plus deliberate uncertainty.

Uncertainty Range

Technical: 95% CI: [-0.5%, 0.78%] • Distribution: Normal

What this means: We’re quite confident in this estimate. The true value likely falls between -0.5% and 0.78% (±0%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Core definition

Global-to-US Political Cost Ratio: 5:1

Ratio of global to US political reform costs. Based on discretionary spending ratio (~9x) discounted by ~50% for less transparent/expensive non-US political systems. Range 3-8 reflects uncertainty about non-US political dynamics and hidden influence channels.

Uncertainty Range

Technical: 95% CI: [3:1, 8:1] • Distribution: Lognormal

What this means: There’s significant uncertainty here. The true value likely falls between 3:1 and 8:1 (±50%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Global-to-US Political Cost Ratio

Probability Distribution: Global-to-US Political Cost Ratio

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

HALE Longevity Realization Share (Year 15): 30%

Share of longer-run life-extension gains that have plausibly materialized into healthy years by year 15. Calibrated to the repo’s conservative disease-eradication helper, which implies that only a minority of eventual longevity gains are realized within the first 15 years even under rapid research acceleration.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Human Laughs per Day (Average Adult): 17 laughs

Folkloric estimate of average adult laughter rate. Widely cited as approximately 17 laughs per day; primary sources are diffuse and the true value varies enormously across individuals, ages, and cultures. Used here as a planning constant for the quantitative-case argument in the shirt paper. Children laugh substantially more (~10x), so the value here is conservative for blended human population.

Uncertainty Range

Technical: 95% CI: [5 laughs, 50 laughs] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 5 laughs and 50 laughs (±132%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Human Laughs per Day (Average Adult)

Probability Distribution: Human Laughs per Day (Average Adult)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

IAB Mechanism Annual Cost (High Estimate): $750 million

Estimated annual cost of the IAB mechanism (high-end estimate including regulatory defense)

Uncertainty Range

Technical: 95% CI: [$160 million, $750 million]

What this means: There’s significant uncertainty here. The true value likely falls between $160 million and $750 million (±39%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: IAB Mechanism Annual Cost (High Estimate)

Probability Distribution: IAB Mechanism Annual Cost (High Estimate)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

IAB Political Incentive Funding Percentage: 10%

Percentage of treaty funding allocated to Incentive Alignment Bond mechanism for political incentives (independent expenditures/PACs, post-office fellowships, Public Good Score infrastructure)

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Activist Stake Fraction: 0.05:1

Activist equity stake assumed sufficient to win board influence when combined with index-fund votes, rather than buying outright control. Grounded in activist-investing precedent: Engine No. 1 won three ExxonMobil board seats with 0.02%, and Carl Icahn typically operates with 1-10% positions. 5% is a deliberately conservative central case; the real floor is far lower, because the universal-owner index funds that hold 60-75% of every prime supply the votes once shown the financial case.

Uncertainty Range

Technical: 95% CI: [0.01:1, 0.1:1]

What this means: This estimate is highly uncertain. The true value likely falls between 0.01:1 and 0.1:1 (±90%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Activist Stake Fraction

Probability Distribution: Activist Stake Fraction

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Minimum Investment for Institutional Investors: $10 million

Minimum investment for institutional investors

Core definition

Leaded Gasoline Era Duration: 73 years

Duration of the US leaded-gasoline era: first commercial TEL sale (February 1923) to the completed on-road ban (January 1, 1996).

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Maximum Bond Investment for Lobbyist Incentives: $20 million

Maximum bond investment for lobbyist incentives

Core definition

P(Success | Loving Takeover Funded): 0.95:1

Probability of treaty passage given full funding of the Loving Takeover (mechanical: money buys shares, shares buy board control, board redirects lobbying)

Uncertainty Range

Technical: 95% CI: [0.8:1, 0.99:1]

What this means: We’re quite confident in this estimate. The true value likely falls between 0.8:1 and 0.99:1 (±10%). This represents a narrow range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: P(Success | Loving Takeover Funded)

Probability Distribution: P(Success | Loving Takeover Funded)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Median Income Relief from Full Disease Cure: 10%

Fraction by which curing ALL currently untreatable disease would raise the median person’s consumable income, beyond the mean-income effect already inside the GDP trajectories. Mechanism: out-of-pocket health spending and sick-day wage losses fall disproportionately on people at and below the median (WHO: about half a billion people pushed into extreme poverty by health costs, roughly 2 billion facing catastrophic or impoverishing health spending). Scaled by each scenario’s cure fraction, so partial cures give partial relief. The range reflects genuine uncertainty about how much of that burden the queue’s early cures relieve.

Uncertainty Range

Technical: 95% CI: [5%, 15%] • Distribution: Normal

What this means: There’s significant uncertainty here. The true value likely falls between 5% and 15% (±50%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Median Income Relief from Full Disease Cure

Probability Distribution: Median Income Relief from Full Disease Cure

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

GDP Growth Boost at 30% Military Reallocation: 5.5%

Historical calibration target: 30% military reallocation maps to ~5.5 percentage points annual GDP growth boost.

Uncertainty Range

Technical: 95% CI: [3.5%, 7.5%] • Distribution: Normal (SE: 1%)

What this means: There’s significant uncertainty here. The true value likely falls between 3.5% and 7.5% (±36%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: GDP Growth Boost at 30% Military Reallocation

Probability Distribution: GDP Growth Boost at 30% Military Reallocation

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Standard Discount Rate for NPV Analysis: 3%

Standard discount rate for NPV analysis (3% annual, social discount rate)

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Standard Time Horizon for NPV Analysis: 10 years

Standard time horizon for NPV analysis

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Peace Dividend Conflict Elasticity: 1:1

Conflict reduction elasticity: how much conflict costs decrease per 1% military spending cut. ε=0: no effect (spending cuts don’t reduce conflict). ε=0.5: moderate linkage (conservative). ε=1.0: proportional (baseline assumption). ε>1.0: shared enemy amplification (redirecting to disease creates unity).

Uncertainty Range

Technical: 95% CI: [0.25:1, 1.5:1] • Distribution: Beta

What this means: This estimate is highly uncertain. The true value likely falls between 0.25:1 and 1.5:1 (±62%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The beta distribution means values are bounded and can skew toward one end.

Input Distribution

Probability Distribution: Peace Dividend Conflict Elasticity

Probability Distribution: Peace Dividend Conflict Elasticity

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Direct Fiscal Savings from 1% Military Spending Reduction: $27.2 billion

Direct fiscal savings from 1% military spending reduction (high confidence)

Core definition

Assumed Long-Term Real Return for Investment Compounding: 13%

Illustrative long-term real return rate used to compound the peace dividend stream into a future value at year 80. 13% is the approximate long-run real CAGR of the Nasdaq-100 index since its 1985 inception: accessible via passive ETFs (QQQ), grounded in 40+ years of data, and does not require assuming unique skill (Buffett) or access (VC/private markets). Chosen as more optimistic than 60/40 portfolio (5%) or S&P 500 (7%) because growth-tilted founder-led companies have historically outperformed the broad market.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Pharma Phase 2/3 Cost Barrier Per Drug: $1.56 billion

Average Phase 2/3 efficacy testing cost per drug that pharma must fund (~60% of total drug development cost)

Uncertainty Range

Technical: Distribution: Normal (SE: $200 million)

Input Distribution

Probability Distribution: Pharma Phase 2/3 Cost Barrier Per Drug

Probability Distribution: Pharma Phase 2/3 Cost Barrier Per Drug

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Pre-1962 Validation Years: 77 years

Years of empirical validation for physician-led pragmatic trials (1883-1960)

Core definition

Prize Pool Participation Rate: 1%

Fraction of global investable financial assets that flow into the prize pool. 1% central estimate parallels the 1% Treaty ask: 1% of your weapons money, 1% of your savings.

Uncertainty Range

Technical: 95% CI: [0.1%, 10%] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 0.1% and 10% (±495%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Prize Pool Participation Rate

Probability Distribution: Prize Pool Participation Rate

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

QALYs per COVID Death Averted: 5 QALYs/death

Average QALYs gained per COVID death averted. Conservative estimate reflecting older age distribution of COVID mortality. See confidence_interval for range.

Uncertainty Range

Technical: 95% CI: [3 QALYs/death, 10 QALYs/death] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 3 QALYs/death and 10 QALYs/death (±70%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: QALYs per COVID Death Averted

Probability Distribution: QALYs per COVID Death Averted

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

R&D Spillover Multiplier: 2x

R&D spillover multiplier: each $1 in directed medical research produces $2 in adjacent sector GDP growth (biotech, AI, computing, materials science, manufacturing). Conservative estimate; military R&D spillover produced the internet, GPS, jet engines. Medical R&D spillover already produced CRISPR, mRNA platforms, AI protein folding.

Uncertainty Range

Technical: 95% CI: [1.5x, 2.5x] • Distribution: Normal (SE: 0.25x)

What this means: This estimate has moderate uncertainty. The true value likely falls between 1.5x and 2.5x (±25%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: R&D Spillover Multiplier

Probability Distribution: R&D Spillover Multiplier

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Safe Compounds Available for Testing: 9,500 compounds

Total safe compounds available for repurposing (FDA-approved + GRAS substances, midpoint of 7,000-12,000 range)

Uncertainty Range

Technical: 95% CI: [7,000 compounds, 12,000 compounds] • Distribution: Uniform

What this means: There’s significant uncertainty here. The true value likely falls between 7,000 compounds and 12,000 compounds (±26%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Safe Compounds Available for Testing

Probability Distribution: Safe Compounds Available for Testing

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Scale Compression Factor: -2.5%

Diminishing-returns drag as the venture market expands ~15x (current global VC ~$300B/yr; Prize Fund deploys ~$4.7T/yr). More capital chasing deals compresses returns. Partially offset by market expansion (every viable idea gets funded, oligopolies face real competition). Point estimate is moderate; CI spans optimistic to pessimistic.

Uncertainty Range

Technical: 95% CI: [-5%, -1%] • Distribution: Normal

What this means: This estimate is highly uncertain. The true value likely falls between -5% and -1% (±80%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Scale Compression Factor

Probability Distribution: Scale Compression Factor

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Equity Capture Share of Public Value: 20%

Share of a large public-value gain assumed to be capitalized into listed equities through lower conflict risk, lower supply-chain risk, and higher expected real output. This is a valuation scenario, not an observed pass-through estimate.

Uncertainty Range

Technical: 95% CI: [5%, 40%] • Distribution: Beta

What this means: This estimate is highly uncertain. The true value likely falls between 5% and 40% (±88%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The beta distribution means values are bounded and can skew toward one end.

Input Distribution

Probability Distribution: Equity Capture Share of Public Value

Probability Distribution: Equity Capture Share of Public Value

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Observer Belief Change Rate: 0.5%

Fraction of observers (non-target readers) who durably update their belief after reading a correction exchange. Roozenbeek et al. (2022) supports the general prebunking mechanism, and Pennycook et al. (2021) supports accuracy prompts. This parameter is lower than those intervention effects because a public reply is shorter, unsolicited, and usually viewed while skimming.

Uncertainty Range

Technical: 95% CI: [0.05%, 3%] • Distribution: Beta

What this means: This estimate is highly uncertain. The true value likely falls between 0.05% and 3% (±295%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The beta distribution means values are bounded and can skew toward one end.

Input Distribution

Probability Distribution: Observer Belief Change Rate

Probability Distribution: Observer Belief Change Rate

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Observer Multiplier: 20 people per post

Average unique readers of a correction reply besides the target. Munger (2017) is the closest field evidence for public bot replies, while Vosoughi et al. (2018) supports the broader claim that false-news cascades can reach large audiences. Neither paper directly measures observers per correction reply, so this remains a low-confidence reach assumption.

Uncertainty Range

Technical: 95% CI: [2 people per post, 200 people per post] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 2 people per post and 200 people per post (±495%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Observer Multiplier

Probability Distribution: Observer Multiplier

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Special Education Outcome Attribution Fraction: 0.01%

Fraction of a modeled public-policy outcome attributable to outbound Special Education running for one year. This is a scenario assumption, not an empirical estimate. The mechanical model produces modeled belief updates, but the conversion from belief updates to treaty passage depends on targeting, repeated exposure, elite pickup, platform enforcement, and whether the bot reaches marginal decision-makers.

Uncertainty Range

Technical: 95% CI: [0.0001%, 1%] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 0.0001% and 1% (±5000%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Special Education Outcome Attribution Fraction

Probability Distribution: Special Education Outcome Attribution Fraction

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

SE Bot Platform Overhead Per Post: $0.002

Non-model marginal overhead per attempted correction: search, ranking, duplicate filtering, policy checks, posting, retries, and failed attempts. This is a planning assumption because platform access terms and rate limits vary by platform.

Uncertainty Range

Technical: 95% CI: [$0.0005, $0.02] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $0.0005 and $0.02 (±488%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: SE Bot Platform Overhead Per Post

Probability Distribution: SE Bot Platform Overhead Per Post

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Reference AUM for SE Bot Portfolio Case: $1 trillion

Reference institutional portfolio size for the trillion-dollar AUM sensitivity case.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Relevant Posts Per Day (Global): 100 thousand posts/day

Correctable posts per day across all platforms globally on defense spending, war, and disease funding topics. Defined as posts from accounts with 100+ followers containing an identifiable logical fallacy (not merely mentioning the topic). This is a planning assumption, not a platform-reported count, and should be replaced with live measurement before making an operating budget.

Uncertainty Range

Technical: 95% CI: [5,000 posts/day, 1 million posts/day] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 5,000 posts/day and 1 million posts/day (±498%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Relevant Posts Per Day (Global)

Probability Distribution: Relevant Posts Per Day (Global)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Target Belief Change Rate: 2%

Fraction of reply targets who durably update their stated belief after receiving a correction. Wood and Porter (2019) support the narrower claim that corrections can reduce false beliefs without routine factual backfire. This 2% value is a calibrated durable-change assumption for public social replies, reduced from lab and survey settings because the message is unsolicited and political.

Uncertainty Range

Technical: 95% CI: [0.2%, 10%] • Distribution: Beta

What this means: This estimate is highly uncertain. The true value likely falls between 0.2% and 10% (±245%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The beta distribution means values are bounded and can skew toward one end.

Input Distribution

Probability Distribution: Target Belief Change Rate

Probability Distribution: Target Belief Change Rate

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Sharing Time: 0.5 minutes

Time to copy, paste, and send the recruitment message. 30 seconds.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Shirt Cascade Probability Given Seed: 25%

Subjective probability that the seed program triggers a viral cascade to majority-of-humanity participation, conditional on the seed threshold being met. Deliberately conservative: even at 25% the expected-value math beats every conventional foundation intervention. Sensitivity range covers skeptic and base-case scenarios.

Uncertainty Range

Technical: 95% CI: [5%, 60%] • Distribution: Beta

What this means: This estimate is highly uncertain. The true value likely falls between 5% and 60% (±110%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The beta distribution means values are bounded and can skew toward one end.

Input Distribution

Probability Distribution: Shirt Cascade Probability Given Seed

Probability Distribution: Shirt Cascade Probability Given Seed

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Shirt Seed Cost per Wearer: $50

Blended cost per seed wearer: printed shirt, small honorarium, and campaign admin. Includes a mix of professionally-printed shirts for influencers and bulk-print runs for university chapters, athletes, and micro-celebrities. Excludes top-tier celebrity placements (handled through separate sponsorship; see Getting Started celebrity layer).

Uncertainty Range

Technical: 95% CI: [$10, $200] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $10 and $200 (±190%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Shirt Seed Cost per Wearer

Probability Distribution: Shirt Seed Cost per Wearer

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Shirt Seed Wearers Threshold: 1 million of people

Planning estimate for the number of visible humans who must wear the End-War-and-Disease message before the social-proof barrier breaks and imitation becomes spontaneous. Sized between the ALS Ice Bucket (~17M participants) and Livestrong (~87M bracelets) cascade trigger points, discounted for the lower-friction permanent-marker version.

Uncertainty Range

Technical: 95% CI: [100 thousand of people, 5 million of people] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 100 thousand of people and 5 million of people (±245%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Shirt Seed Wearers Threshold

Probability Distribution: Shirt Seed Wearers Threshold

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Shirt Wearing Friction Cost: $5

Perceived social friction cost of wearing a political message in public, expressed in dollar-equivalent terms. Sets the minimum per-wearer expected Earth Optimization Prize payout required to make participation rational at scale. Anchored to the GLOBAL_COORDINATION_ACTIVATION_REWARD_PER_VERIFIED_PARTICIPANT midpoint, which serves the same role for the verified-vote action.

Uncertainty Range

Technical: 95% CI: [$1, $25] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $1 and $25 (±240%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Shirt Wearing Friction Cost

Probability Distribution: Shirt Wearing Friction Cost

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Tested Drug-Disease Relationships: 32,500 relationships

Estimated drug-disease relationships actually tested (approved uses + repurposed + failed trials, midpoint of 15,000-50,000 range)

Uncertainty Range

Technical: 95% CI: [15,000 relationships, 50,000 relationships] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 15,000 relationships and 50,000 relationships (±54%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Tested Drug-Disease Relationships

Probability Distribution: Tested Drug-Disease Relationships

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Political Lobbying Campaign: Direct Lobbying, Super Pacs, Opposition Research, Staff, Legal/Compliance: $650 million

Political lobbying campaign: direct lobbying (US/EU/G20), Super PACs, opposition research, staff, legal/compliance. Budget exceeds combined pharma ($300M/year) and military-industrial complex ($150M/year) lobbying to ensure competitive positioning. Referendum relies on grassroots mobilization and earned media, while lobbying requires matching or exceeding opposition spending for political viability.

Uncertainty Range

Technical: 95% CI: [$325 million, $1.3 billion] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $325 million and $1.3 billion (±75%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Political Lobbying Campaign: Direct Lobbying, Super Pacs, Opposition Research, Staff, Legal/Compliance

Probability Distribution: Political Lobbying Campaign: Direct Lobbying, Super Pacs, Opposition Research, Staff, Legal/Compliance

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Reserve Fund / Contingency Buffer: $100 million

Reserve fund / contingency buffer (10% of total campaign cost). Using industry standard 10% for complex campaigns with potential for unforeseen legal challenges, opposition response, or regulatory delays. Conservative lower bound of $20M (2%) reflects transparent budget allocation and predictable referendum/lobbying costs.

Uncertainty Range

Technical: 95% CI: [$20 million, $150 million] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $20 million and $150 million (±65%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Reserve Fund / Contingency Buffer

Probability Distribution: Reserve Fund / Contingency Buffer

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Treaty Campaign Duration: 4 years

Treaty campaign duration (3-5 year range, using midpoint)

Uncertainty Range

Technical: 95% CI: [3 years, 5 years] • Distribution: Triangular

What this means: This estimate has moderate uncertainty. The true value likely falls between 3 years and 5 years (±25%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The triangular distribution means values cluster around a most-likely point but can range higher or lower.

Input Distribution

Probability Distribution: Treaty Campaign Duration

Probability Distribution: Treaty Campaign Duration

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Viral Referendum Budget: $250 million

Viral referendum budget for 280M verified votes (base: $250M realistic with $0.50/vote avg, range: $150M optimistic $0.20/vote to $410M worst-case $1.05/vote). Components: platform ($35M), verification infrastructure (280M × friction × $0.18-0.20), tiered referral payments (varies by virality and marginal cost curve per diffusion theory), marketing seed ($5-15M). Based on PayPal referral economics ($18-36 inflation-adjusted) and biometric verification pricing ($0.15-0.25 at 300M+ scale).

Uncertainty Range

Technical: 95% CI: [$150 million, $410 million]

What this means: This estimate is highly uncertain. The true value likely falls between $150 million and $410 million (±52%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

Input Distribution

Probability Distribution: Viral Referendum Budget

Probability Distribution: Viral Referendum Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Treaty Health Recovery Annualization Horizon: 20 years

Annualization horizon for the treaty health recovery GDP-drag term.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Treaty Ratchet Terminal Redirect Share: 10%

Terminal share of military spending redirected under the IAB-ratchet take-hold schedule (1% for 3 years, 2% for 4, 5% for 5, terminal thereafter). The single ratchet knob: every treaty-trajectory parameter binds it, so setting it to 0.01 switches ratcheting off everywhere (the treaty stays at its initial 1% forever) and every treaty number degrades to its flat-1% bound. Uncertainty spans never-expands (0.01, the 95% lower bound) to overshooting the schedule (0.19): expansion is driven by bondholder lobbying incentives, which do not stop at 10% if they work at all.

Uncertainty Range

Technical: 95% CI: [1%, 19%] • Distribution: Normal

What this means: This estimate is highly uncertain. The true value likely falls between 1% and 19% (±90%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Treaty Ratchet Terminal Redirect Share

Probability Distribution: Treaty Ratchet Terminal Redirect Share

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

1% Reduction in Military Spending/War Costs from Treaty: 1%

1% reduction in military spending/war costs from treaty

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Trial-Relevant Diseases: 1,000 diseases

Consolidated count of trial-relevant diseases worth targeting (after grouping ICD-10 codes)

Uncertainty Range

Technical: 95% CI: [800 diseases, 1,200 diseases] • Distribution: Uniform

What this means: This estimate has moderate uncertainty. The true value likely falls between 800 diseases and 1,200 diseases (±20%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Trial-Relevant Diseases

Probability Distribution: Trial-Relevant Diseases

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

US Congress Members: 535 members

Total members of US Congress (100 senators + 435 representatives)

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Overlap Discount Factor: 1:1

Overlap discount factor between US government waste categories. Set to 1.0 (no discount). Categories are treated as additive, recognizing that any overlap is offset by excluded categories (state/local inefficiency, implicit subsidies, behavioral effects).

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Political Effort Multiplier (US): 0.7x

Fraction of campaign + lobbying spending needed to achieve policy reform. Accounts for efficiency gains from coordination, message clarity, and public interest alignment. Range 0.4-1.2 reflects uncertainty about political dynamics.

Uncertainty Range

Technical: 95% CI: [0.4x, 1.2x] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between 0.4x and 1.2x (±57%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Political Effort Multiplier (US)

Probability Distribution: Political Effort Multiplier (US)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Switzerland-US Life Expectancy Gap: 6.5 years

Life expectancy gap: Switzerland vs US. Switzerland achieves 6.5 extra years of life while spending 3% LESS of GDP on government.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

US-Switzerland Spending Gap: 300%

Government spending gap: US spends 3 percentage points MORE of GDP than Switzerland yet achieves worse outcomes.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Percentage of Captured Dividend Funding VICTORY Incentive Alignment Bonds: 10%

Percentage of captured dividend funding VICTORY Incentive Alignment Bonds (10%)

Uncertainty Range

Technical: Distribution: Fixed

Core definition

Average Years of Life Lost per War Death: 27 years

Average years of life lost per war/conflict death. Based on avg age at death ~28 (soldiers ~23, civilians older) vs mid-century life expectancy ~55.

Uncertainty Range

Technical: 95% CI: [20 years, 35 years] • Distribution: Uniform

What this means: There’s significant uncertainty here. The true value likely falls between 20 years and 35 years (±28%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Average Years of Life Lost per War Death

Probability Distribution: Average Years of Life Lost per War Death

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Child Share of War Deaths Since 1900: 33%

Estimated share of war deaths since 1900 that were children under 18. Constructed from category-weighted estimates: combat ~3%, civilian ~35%, genocide ~33%, famine ~60%. Conservative aggregate ~33%. Sources: de Waal 2017 (famine child mortality), APA 2001 (civilian child share).

Uncertainty Range

Technical: 95% CI: [25%, 40%] • Distribution: Uniform

What this means: This estimate has moderate uncertainty. The true value likely falls between 25% and 40% (±23%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Child Share of War Deaths Since 1900

Probability Distribution: Child Share of War Deaths Since 1900

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Peace Growth Boost (8 Channels, Overlap-Corrected): 2.6%

Stacked annual growth boost from 8 non-overlapping war channels. Ch1: productive reallocation 0.8-1.5pp (budget + innovation merged). Ch2: preserved capital 0.2-0.4pp. Ch3: population 0.2-0.4pp. Ch4: no trade drag 0.1-0.3pp. Ch5: no environmental damage 0.1-0.2pp. Ch6: no Cold War isolation 0.1-0.3pp. Ch7: better institutions 0.1-0.3pp. Ch8: open scientific collaboration 0.05-0.15pp. Low 1.65pp, mid 2.6pp, high 3.55pp.

Uncertainty Range

Technical: 95% CI: [1.65%, 3.55%] • Distribution: Uniform

What this means: There’s significant uncertainty here. The true value likely falls between 1.65% and 3.55% (±37%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Peace Growth Boost (8 Channels, Overlap-Corrected)

Probability Distribution: Peace Growth Boost (8 Channels, Overlap-Corrected)

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Total War and Conflict Deaths Since 1900: 310 million deaths

Total deaths from wars, conflicts, genocides, and policy-induced famines since 1900. Built from non-overlapping categories: Rummel democide 264M (incl 21st century) + battle deaths 39M + collateral civilian deaths 30M - overlap adjustment 25M = 308M, rounded to 310M. Range: White low 200M to Rummel-high-plus-military 340M.

Uncertainty Range

Technical: 95% CI: [200 million deaths, 340 million deaths] • Distribution: Uniform

What this means: This estimate has moderate uncertainty. The true value likely falls between 200 million deaths and 340 million deaths (±23%). This represents a reasonable range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Total War and Conflict Deaths Since 1900

Probability Distribution: Total War and Conflict Deaths Since 1900

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Cumulative Environmental Destruction from War Since 1900: $5 trillion

Cumulative environmental destruction from wars since 1900 (2024 USD). Nuclear testing, Agent Orange, Gulf War oil fires, DU contamination, Zone Rouge, military CO2 emissions, land mines.

Uncertainty Range

Technical: 95% CI: [$2 trillion, $10 trillion] • Distribution: Lognormal

What this means: This estimate is highly uncertain. The true value likely falls between $2 trillion and $10 trillion (±80%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The lognormal distribution means values can’t go negative and have a longer tail toward higher values (common for costs and populations).

Input Distribution

Probability Distribution: Cumulative Environmental Destruction from War Since 1900

Probability Distribution: Cumulative Environmental Destruction from War Since 1900

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

War Medical Toolchain Prize Budget: $20 trillion

Aggressive prosecutor reserve for buying the missing medical toolchain: prizes, diagnostics, EHRs, sequencing, AI, factories, surveillance, and pragmatic-trial infrastructure before counting remaining money as direct trial capacity.

Uncertainty Range

Technical: 95% CI: [$5 trillion, $50 trillion] • Distribution: Triangular

What this means: This estimate is highly uncertain. The true value likely falls between $5 trillion and $50 trillion (±112%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The triangular distribution means values cluster around a most-likely point but can range higher or lower.

Input Distribution

Probability Distribution: War Medical Toolchain Prize Budget

Probability Distribution: War Medical Toolchain Prize Budget

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Cumulative Property Destruction from War Since 1900: $45 trillion

Cumulative property and infrastructure destruction from major wars since 1900 (2024 USD). WWI ~$5T, WWII ~$23T, Korea ~$0.5T, Vietnam ~$1T, post-9/11 ~$8T, other ~$7.5T.

Uncertainty Range

Technical: 95% CI: [$30 trillion, $60 trillion] • Distribution: Uniform

What this means: There’s significant uncertainty here. The true value likely falls between $30 trillion and $60 trillion (±33%). This represents a wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The uniform distribution means any value in the range is equally likely.

Input Distribution

Probability Distribution: Cumulative Property Destruction from War Since 1900

Probability Distribution: Cumulative Property Destruction from War Since 1900

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

War-Redirect Aging Lag After Disease Control: 40 years

Additional lag after broad disease-control capacity before biological aging becomes a treatable risk factor in the aggressive prosecutor model. Fermi rationale: aging research requires the molecular biology toolchain (DNA structure, oncogenes, telomere biology, cellular senescence) which itself builds on the disease-control infrastructure. With investment proportional to funding and prizes accelerating iteration, the hallmarks-of-aging framework (telomeres, senolytics, mTOR) likely emerges ~15-20 years faster than the historical timeline – but geroscience is genuinely downstream of molecular biology and cannot be fully parallelized with disease-control research. 40 years is the central estimate; confidence interval (10-65) is wide because this is the most speculative component of the model.

Uncertainty Range

Technical: 95% CI: [10 years, 65 years] • Distribution: Triangular

What this means: This estimate is highly uncertain. The true value likely falls between 10 years and 65 years (±69%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The triangular distribution means values cluster around a most-likely point but can range higher or lower.

Input Distribution

Probability Distribution: War-Redirect Aging Lag After Disease Control

Probability Distribution: War-Redirect Aging Lag After Disease Control

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

War-Redirect Pleading End Year: 2024

End year for the aggressive prosecutor post-cutoff plaintiff count.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

War-Redirect Medical Counterfactual Start Year: 1900

Start year for the aggressive prosecutor medical redirect counterfactual.

Uncertainty Range

Technical: Distribution: Fixed

Core definition

War-Redirect Medical Toolchain Bootstrap Years: 14 years

Estimated minimum physical build time for the medical toolchain even with 10x capital: diagnostics, cell culture, manufacturing scale-up, trained researchers, surveillance, and trial infrastructure. Fermi rationale: (1) scientific breakthroughs are treated as largely proportional to investment – more money attracts talent from finance and other high-paying sectors, more researchers mean more parallel experiments and more shots on goal, so conceptual barriers are not treated as exogenous; (2) even so, a physical floor exists – you cannot train a molecular biologist in a year or build a penicillin factory overnight regardless of capital; (3) prize-based and market-incentive funding is assumed, not NIH grant-style funding – prizes pay for results, not process, yielding roughly 5-10x more useful output per dollar, making this estimate conservative relative to current NIH efficiency as a baseline; (4) Operation Warp Speed compressed a 10-15 year vaccine timeline to 9 months with advance purchase commitments – ~15x acceleration – suggesting the physical floor is around 12-18 months for known-science applications. 14 years reflects the harder case of building infrastructure for unknown-science applications from a 1900 starting point. Confidence interval (0-40) reflects genuine uncertainty; the central estimate is not reverse-engineered to hit any target year.

Uncertainty Range

Technical: 95% CI: [0 years, 40 years] • Distribution: Triangular

What this means: This estimate is highly uncertain. The true value likely falls between 0 years and 40 years (±143%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The triangular distribution means values cluster around a most-likely point but can range higher or lower.

Input Distribution

Probability Distribution: War-Redirect Medical Toolchain Bootstrap Years

Probability Distribution: War-Redirect Medical Toolchain Bootstrap Years

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition

Wishocratic Crowd Allocation Alpha: 0.5%

Allocation alpha from wishocratic sector- and manager-level capital routing. Crowds route capital across sectors and managers at least as well as cap-weighted indices or committee allocators. SPIVA shows 88% of active large-cap managers underperform their benchmark over 15 years; Preqin shows top-quartile vs bottom-quartile VC manager dispersion of 5-15%. The 0.5% central value assumes only that RAPPA avoids the bottom half of manager dispersion at the allocation level, not that it finds the top quartile. This is not a claim that crowds beat experts at picking individual companies; power-law outlier selection is the one thing crowds are empirically worse at than specialists.

Uncertainty Range

Technical: 95% CI: [0%, 1.5%] • Distribution: Normal

What this means: This estimate is highly uncertain. The true value likely falls between 0% and 1.5% (±150%). This represents a very wide range that our Monte Carlo simulations account for when calculating overall uncertainty in the results.

The normal distribution means values cluster around the center with equal chances of being higher or lower.

Input Distribution

Probability Distribution: Wishocratic Crowd Allocation Alpha

Probability Distribution: Wishocratic Crowd Allocation Alpha

This chart shows the assumed probability distribution for this parameter. The shaded region represents the 95% confidence interval where we expect the true value to fall.

Core definition