Fixed upper quantiles of terminal wealth for finite-horizon repeated Kelly wagering are positively homogeneous piecewise-monomial functions on the wealth simplex that reduce exactly to shadow-Kelly objectives indexed by multinomial count chambers.
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Exact Finite-Horizon Quantile Kelly for Repeated Multi-Outcome Events
Fixed upper quantiles of terminal wealth for finite-horizon repeated Kelly wagering are positively homogeneous piecewise-monomial functions on the wealth simplex that reduce exactly to shadow-Kelly objectives indexed by multinomial count chambers.