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Kelly Criterion revisited: optimal bets

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  • Edward W. Piotrowski
  • Malgorzata 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.

Suggested Citation

  • Edward W. Piotrowski & Malgorzata Schroeder, 2006. "Kelly Criterion revisited: optimal bets," Papers physics/0607166, arXiv.org.
  • Handle: RePEc:arx:papers:physics/0607166
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    File URL: http://arxiv.org/pdf/physics/0607166
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    References listed on IDEAS

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    1. S. Illeris & G. Akehurst, 2001. "Introduction," The Service Industries Journal, Taylor & Francis Journals, vol. 21(1), pages 1-4, January.
    2. Edward W. Piotrowski & Jan Sladkowski, "undated". "Geometry of Financial Markets - Towards Information Theory Model of Markets," Departmental Working Papers 26, University of Bialtystok, Department of Theoretical Physics.
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    Cited by:

    1. 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.
    2. 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.
    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. 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.
    5. 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.

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