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Delx Multi-Outcome Kelly Calculator
x402
Delx Multi-Outcome Kelly Calculator 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 optimal Kelly criterion stake sizes and fractions across multiple outcomes given their probabilities, market prices, and a bankroll amount.
Price / call$0.001
Success—
StatusUnknown
How this service works
Proportional Kelly-like stakes across exclusive outcomes. Call when allocating bankroll across multi-outcome prediction markets. Returns stakes and fractions per outcome 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 containing an array of stake amounts in quote units (one per outcome) and an array of Kelly fractions (one per outcome), indicating how much of the bankroll to allocate to each outcome under the multi-outcome Kelly criterion.
Example use cases
Prediction market position sizing
“I'm trading a three-way prediction market with outcome probabilities [0.55, 0.30, 0.15] and current prices [1.8, 3.2, 6.5]. My bankroll is 500 USDC — compute the Kelly-optimal stakes and fractions so I know how much to put on each outcome.”
Sports betting bankroll allocation
“I'm looking at a match with three possible results: home win at probability 0.45, draw at 0.25, and away win at 0.30. The market prices are 2.1, 3.8, and 3.1 respectively. My bankroll is 2000. Give me the Kelly criterion stakes for each outcome.”
Multi-leg portfolio sizing for an agent
“My trading agent needs to allocate a bankroll of 10000 across four outcomes with probabilities [0.4, 0.3, 0.2, 0.1] and prices [2.4, 3.1, 4.8, 9.5]. Calculate the optimal Kelly fractions and absolute stake amounts for each leg.”
Technical details
Endpoint
POSThttps://api.delx.ai/api/v1/x402/multi-outcome-kellyWhen to prefer
Use this endpoint when you need mathematically rigorous multi-outcome Kelly criterion calculations without implementing the optimization yourself. It is ideal for AI agents managing prediction market positions, sports betting allocations, or any multi-way probabilistic allocation problem. Prefer this over single-outcome Kelly formulas whenever there are three or more mutually exclusive outcomes and you want simultaneous optimal stake sizing across all of them.
Side effects
- Probabilities array and prices array length mismatch — returns validation error
- Probabilities that sum to more than 1.0 or contain negative values — may return zero stakes or error
- Bankroll of zero or negative — likely returns all-zero stakes
- Missing required fields (probs, prices, or bankroll) — returns 400 bad request
- Degenerate inputs where no positive-EV outcome exists — returns all-zero fractions
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| probs | array | Outcome probabilities (same order as prices) |
| prices | array | Market prices / samples depending on tool |
| bankroll | number | Bankroll in quote units |
Output
Schema · Response
{
"type": "json",
"example": {
"schema": "delx/util-multi-outcome-kelly/v1",
"stakes": [
0,
100,
0
],
"fractions": [
0,
1,
0
]
}
}Tags
x402
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