Fortune's Formula or the Road to Ruin? The Generalized Kelly Criterion With Multiple Outcomes

Karl Whelan ()

MPRA Paper from University Library of Munich, Germany

Abstract: You can bet on an event where there are multiple possible winners but only one will actually win. At the odds offered, you think there may be multiple bets worth taking. How much do you place on each bet to maximize your expected utility? We describe how this problem can be solved for concave utility functions and illustrate the properties of the solution. The optimal betting strategy is more aggressive than strategies derived from considering each outcome separately such as the Kelly criterion. The strategy also recommends sometimes placing bets with negative expected returns because they act as hedges against losses on other bets. While this strategy maximizes the bettor's subjective expected utility, if betting odds incorporate a profit margin and reflect underlying probabilities correctly, then this more aggressive approach loses more money and results in lower realized utility.

Keywords: Decision-making under uncertainty; optimal betting; Kelly criterion (search for similar items in EconPapers)
JEL-codes: D81 G11 (search for similar items in EconPapers)
Date: 2023-04-05
New Economics Papers: this item is included in nep-upt
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https://mpra.ub.uni-muenchen.de/116927/1/MPRA_paper_116927.pdf original version (application/pdf)

Related works:
Working Paper: Fortune's Formula or the Road to Ruin? The Generalized Kelly Criterion With Multiple Outcomes (2023)
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:116927

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