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Delx Expected Log Growth
x402
Delx Expected Log Growth is a paid API for AI agents from api.delx.ai, paid per call via x402, $0.001/call, status unknown (last checked 2026-09-15).
Computes the expected logarithmic growth (Kelly criterion growth rate) given a bet fraction, true probability, and market price
Price / call$0.001
Success—
StatusUnknown
How this service works
Approx expected log bankroll growth for a binary bet fraction. Call when comparing bet sizes by growth rate under true_prob (advisory). Returns expected log growth as deterministic JSON for $0.001 USDC via x402 on Base. First-party local math only—no RPC, live market feed, API keys, storage, or mediagen. Advisory only; the caller owns capital, risk, and production controls.
Output
Returns a JSON object conforming to schema 'delx/util-expected-log-growth/v1', containing the input fraction and the computed expected_log_growth value (a float representing the expected logarithmic portfolio growth from taking that bet at the given fraction, true probability, and market price).
Example use cases
Prediction market Kelly sizing check
“I'm about to stake a 15% fraction on a prediction market where I think the true probability is 65% but the market is pricing it at 58% — what expected log growth should I get from that position?”
Portfolio bet growth optimization
“Can you calculate the expected log growth for a 20% fraction bet where my estimated true probability is 0.72 and the current market price is 0.68? I want to see if the edge is worth it.”
Comparing fractional bet sizes
“Run the expected log growth calculation for me: fraction 0.05, true probability 0.55, market price 0.52 — I want to know if this small edge at low stake is still positive.”
Technical details
Endpoint
POSThttps://api.delx.ai/api/v1/x402/expected-log-growthWhen to prefer
Use this endpoint when you need to compute the Kelly-criterion-style expected log growth for a binary bet or prediction market position given a specific fraction, true probability estimate, and market price. Prefer this over manual calculation when operating in an agent pipeline that needs a fast, governed, API-accessible computation of log-utility growth. Ideal for position-sizing workflows, portfolio optimization agents, or prediction market arbitrage bots that need to evaluate the value of an edge before committing capital.
Side effects
- Missing required fields (fraction, true_prob, or market_price) return a validation error
- Probabilities outside [0,1] or fractions outside valid range may produce undefined or error responses
- Market price of 0 or 1 may cause division errors or infinite log values
- Negative fraction values may return nonsensical results or errors
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fraction | number | Input field: fraction. |
| true_prob | number | Input field: true prob. |
| market_price | number | Input field: market price. |
Output
Schema · Response
{
"type": "json",
"example": {
"schema": "delx/util-expected-log-growth/v1",
"fraction": 0.1,
"expected_log_growth": 0.02704230164346613
}
}Tags
x402
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