O(n) algorithm found for optimal multinomial Kelly wagering, beating naive O(n log n)

alexbilz · x · 2026-10-16

@octonion reports discovering an O(n) algorithm for optimal multinomial Kelly wagering, improving on the naive O(n log n) approach. He had long suspected such an algorithm existed and describes the result as "not a big deal, but a pleasant discovery." The result is directly relevant to prediction-market betting and portfolio allocation under the Kelly criterion.

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