Bilateral or multi-lateral security assurances provided by regional mediators.
Economic Normalization Aid Package0%
Direct sanctions relief, trade corridor inclusion, and investment incentives.
Mediator Diplomatic Momentum (Oman/Saudi)0%
Active backchannel talks and high-level envoy diplomacy.
Kelly Criterion Sizing & Risk Management
Optimize prediction market contract sizing based on model subjective belief vs market odds.
Optimal Kelly %
0.0%
No Edge Identified
Recommended Stake
$0.00
0 Contracts
Expected Return (EV)
+0.0%
Neutral
Risk Profile
HOLD / PASS
Belief equals market odds
Model State: Validated Baseline
Hypothetical log odds and the saved model limitations
Read the explanation
This saved page is a hypothetical odds model, not verified current diplomacy, observed market prices, or investment guidance. Its selected fixture prior is eight percent. Convert probability to odds by dividing zero point zero eight by zero point nine two. The result is about zero point zero eight seven. A preset with security forty, economic thirty, and diplomatic fifty forms a weighted shock of zero point four times forty, plus zero point three five times thirty, plus zero point two five times fifty, totaling thirty nine. Its odds multiplier is e raised to thirty nine over thirty five, about three point zero five. Multiplying prior odds gives about zero point two six five. Converting those odds back gives twenty point nine five percent, not three times a probability without normalization. A negative preset uses security minus thirty five, economic minus twenty and diplomatic minus forty. The weighted shock is minus thirty one, making the odds multiplier about zero point four one two. Starting from the same eight percent prior, posterior probability becomes about three point four six percent. Compare zero shock, the positive thirty nine weighted shock, and negative thirty one. They produce eight, twenty point nine five, and three point four six percent. These are assumptions in an exponential log-odds transformation. The weights are invented in the saved source, not estimated causal effects or evidence that any country will make a political decision. A category or suggested position displayed by the page does not validate that probability. The saved implementation also has incomplete paths. It caches a riskProfile element, then tries to update a different, missing proofRiskProfile property. The earlier probability and position numbers can update, but this error stops later label and bar synchronization. Its posterior function returns an object for ordinary probabilities, but a bare number for a prior of one. The JSON export then omits computed posterior and multiplier fields on those endpoint rows, while the CSV path tries to format missing values and fails. Offline, the D three network is replaced by fallback text. Preserve these source defects and inspect actual exports: a successful download alone is not proof of a complete or correct model. This video explains the local fixture rather than repairing or publishing it.
Bayesian Shock Updating and Position Sizing Mechanics
How does this model convert qualitative diplomatic shocks into updated candidate odds and Kelly bet sizes?
This interactive tool combines a baseline diplomatic network with an exponential log-odds update rule and a binary Kelly position sizing formula. In the application's JavaScript engine, candidate countries begin with fixed prior probabilities (such as 8.0% for Syria and 22.0% for Saudi Arabia). Moving the shock sliders or choosing an event preset inputs percentage adjustments across three dimensions: security pacts (weighted at 40%), economic packages (35%), and diplomatic momentum (25%). The resulting composite shock scales the prior odds by an exponential Bayes factor multiplier, producing an updated posterior probability. When your posterior belief exceeds the fixed baseline contract price, the tool calculates the fractional Kelly stake to optimize bankroll growth under the modeled edge.
All baseline odds (such as Syria at 8.0% or Qatar at 12.0%) and diplomatic ties are hardcoded simulation fixtures rather than a live Polymarket order book feed. The exponential conversion rule dividing weighted shocks by 35 is a heuristic demonstration rather than an empirically calibrated geopolitical forecasting model. Real prediction markets also feature order book slippage, execution spreads, trading fees, and resolution timing risks that are not captured by single-contract binary Kelly math. Nothing in this model constitutes financial, legal, or investment advice.
Try a worked example
Select the 'Saudi Normalization Pact' preset button. The security slider moves to +40%, economic aid to +30%, and diplomatic momentum to +50%. The weighted shock evaluates to (40 × 0.40) + (30 × 0.35) + (50 × 0.25) = 39.0. In the model engine, dividing by 35 yields an exponential Bayes factor of exp(39 / 35) ≈ 3.05x. For the default selected country Syria (prior P = 8.0%), multiplying the prior odds (0.08 / 0.92 ≈ 0.08696) by 3.05 produces posterior odds of roughly 0.265, converting to an updated posterior P(A|E) of 20.9% (+12.9% delta). Because 20.9% exceeds the baseline contract purchase price of $0.08, the Half-Kelly calculator recommends staking $70.37 (879 YES contracts) from the default $1,000 bankroll.
Diplomatic Foundations and Graph Structure
The core cluster in the network visualizer highlights the foundation established by the Abraham Accords Declaration signed on September 15, 2020, by Israel, the United Arab Emirates, and Bahrain, witnessed by the United States. The Abraham Accords Declaration – The White House
In this application, signatory nations are treated as fixed 100% core partners, while non-signatory nations are assigned static prior probabilities and qualitative barrier levels that serve as the baseline input for event simulations.
Mathematical Implementation: Bayes Factor and Kelly Allocation
The engine implements Bayesian updating in odds form: Prior Odds = P / (1 - P). It calculates an exponential multiplier exp(Total Shock / 35), where Total Shock = (0.40 × Security) + (0.35 × Economic) + (0.25 × Diplomatic). The posterior odds are multiplied by this Bayes factor and mapped back to probability via Odds / (1 + Odds), clamped between 0.5% and 99.5%.
J. L. Kelly Jr. formalized the criterion for maximizing the transmission rate and exponential growth of capital over sequential opportunities in the Bell System Technical Journal in July 1956. A New Interpretation of Information Rate | Nokia Bell Labs
In the page's implementation, the net payout odds b equal (1 - marketP) / marketP for a $1.00 binary contract. When subjective posterior probability p exceeds market price marketP, the unconstrained Kelly fraction f* = (p * b - (1 - p)) / b simplifies to (p - marketP) / (1 - marketP). The code then scales f* by the selected risk scale factor (defaulting to Half Kelly at 0.50) to compute dollar allocations and integer contract counts.
The Abraham Accords Declaration was signed on September 15, 2020, establishing diplomatic normalization principles between Israel, the United Arab Emirates, and Bahrain, witnessed by the United States.
J. L. Kelly Jr. published 'A New Interpretation of Information Rate' in the Bell System Technical Journal in July 1956, formalizing the criterion for maximizing information transmission and exponential capital growth.