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Algorithms for optimal allocation of bets on many simultaneous events

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  • Chris Whitrow

Abstract

The problem of optimizing a number of simultaneous bets is considered, using primarily log-utility. Stochastic gradient-based algorithms for solving this problem are developed and compared with the simplex method. The solutions may be regarded as a generalization of 'Kelly staking' to the case of many simultaneous bets. Properties of the solutions are examined in two example cases using real odds from sports bookmakers. The algorithms that are developed also have wide applicability beyond sports betting and may be extended to general portfolio optimization problems, with any reasonable utility function. Copyright 2007 Royal Statistical Society.

Suggested Citation

  • Chris Whitrow, 2007. "Algorithms for optimal allocation of bets on many simultaneous events," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(5), pages 607-623.
  • Handle: RePEc:bla:jorssc:v:56:y:2007:i:5:p:607-623
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    File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-9876.2007.00594.x
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    Cited by:

    1. Matus Medo & Chi Ho Yeung & Yi-Cheng Zhang, 2008. "How to quantify the influence of correlations on investment diversification," Papers 0805.3397, arXiv.org, revised Feb 2009.
    2. Medo, Matús & Yeung, Chi Ho & Zhang, Yi-Cheng, 2009. "How to quantify the influence of correlations on investment diversification," International Review of Financial Analysis, Elsevier, vol. 18(1-2), pages 34-39, March.

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