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Kelly criterion revisited: optimal bets

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  • E. W. Piotrowski
  • M. Schroeder

Abstract

Kelly criterion, that maximizes the expectation value of the logarithm of wealth for bookmaker bets, gives an advantage over different class of strategies. We use projective symmetries for a explanation of this fact. Kelly's approach allows for an interesting financial interpretation of the Boltzmann/Shannon entropy. A “no-go” hypothesis for big investors is suggested. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • E. W. Piotrowski & M. Schroeder, 2007. "Kelly criterion revisited: optimal bets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(2), pages 201-203, May.
    • Handle: RePEc:spr:eurphb:v:57:y:2007:i:2:p:201-203
    DOI: 10.1140/epjb/e2007-00126-3
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    References listed on IDEAS

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    1. Piotrowski, Edward W. & Sładkowski, Jan, 2007. "Geometry of financial markets—Towards information theory model of markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 228-234.
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    Cited by:

    1. Piotrowski, Edward W. & Sładkowski, Jan, 2007. "Geometry of financial markets—Towards information theory model of markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 228-234.
    2. Edward W. Piotrowski & Jerzy Luczka, "undated". "The relativistic velocity addition law optimizes a forecast gambler's profit," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics.
    3. Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated". "Reinforcement Learning in Market Games," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics.
    4. Dominic Cortis & Steve Hales & Frank Bezzina, 2013. "Profiting On Inefficiencies In Betting Derivative Markets: The Case Of Uefa Euro 2012," Journal of Gambling Business and Economics, University of Buckingham Press, vol. 7(1), pages 39-51.
    5. Luo, Yong & Zhu, Bo & Tang, Yong, 2014. "Simulated annealing algorithm for optimal capital growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 10-18.

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