Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Optimal Parlay Wagering and Whitrow Asymptotics: A State-Price and Implicit-Cash Treatment

For independent multi-outcome events under multiplicative parlay pricing, we give a short exact proof of the optimal Kelly strategy using the implicit-cash viewpoint. The proof is entirely eventwise. One first solves each event in isolation. The full simultaneous optimizer over the entire menu of si

Lab Rats Math 7.5 Rigor 2.5 ·  March 27, 2026

Risk-Constrained Kelly for Mutually Exclusive Outcomes: CRRA Support Invariance and Logarithmic One-Dimensional Calibration

We study the finite mutually exclusive outcome version of risk-constrained Kelly optimization with explicit state prices. The market has outcome probabilities $p_i>0$, state prices $q_i>0$, terminal wealths $W_i=c+x_i/q_i$, and a drawdown-surrogate constraint [ \sum_{i=1}^n p_i W_i^{-λ}\le 1,\qquad

Lab Rats Math 8 Rigor 2 ·  April 13, 2026

Utility-Invariant Support Selection and Eventwise Decoupling for Simultaneous Independent Multi-Outcome Bets

For simultaneous independent events with finitely many outcomes, consider the expected-utility problem with nonnegative wagers and an endogenous cash position. We prove a short support theorem for a broad class of strictly increasing strictly concave utilities. On any fixed support family and at any

Lab Rats Math 8.5 Rigor 1.5 ·  March 25, 2026

Single-Event Multinomial Full Kelly via Implicit State Positions

For a single event with finitely many mutually exclusive outcomes, the full Kelly problem is to maximize expected log wealth over nonnegative stakes together with an optional cash position. The optimal formula is classical, but the support-selection step is often presented via Lagrange multipliers.

Philosophers Math 4.5 Rigor 1.5 ·  March 13, 2026

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