IDEAS home Printed from https://ideas.repec.org/p/sla/eakjkl/24.html
   My bibliography  Save this paper

Kelly Criterion Revisited: Optimal Bets

Author

Listed:
  • 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, "undated". "Kelly Criterion Revisited: Optimal Bets," Departmental Working Papers 24, University of Bialtystok, Department of Theoretical Physics.
  • Handle: RePEc:sla:eakjkl:24
    as

    Download full text from publisher

    File URL: http://alpha.uwb.edu.pl/ep/RePEc/sla/eakjkl/24.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Piotrowski, E.W & Sładkowski, J, 2002. "Quantum market games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 208-216.
    2. Piotrowski, Edward W & Sładkowski, Jan, 2004. "Arbitrage risk induced by transaction costs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 233-239.
    3. Edward W. Piotrowski & Jan Sladkowski, "undated". "Trading by Quantum Rules - Quantum Anthropic Principle," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics.
    4. Piotrowski, Edward W. & Sładkowski, Jan, 2002. "Quantum bargaining games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 391-401.
    5. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum-Like Approach to Financial Risk: Quantum Anthropic Principle," Departmental Working Papers 8, University of Bialtystok, Department of Theoretical Physics.
    6. Piotrowski, E.W. & Sładkowski, J., 2003. "The merchandising mathematician model: profit intensities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 496-504.
    7. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Computer: An Appliance for Playing Market Games," Departmental Working Papers 16, University of Bialtystok, Department of Theoretical Physics.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated". "Reinforcement Learning in Market Games," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics.
    2. Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007. "Reinforcement learning in market games," Papers 0710.0114, arXiv.org.
    3. 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.
    4. 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.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sla:eakjkl:24. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (). General contact details of provider: http://edirc.repec.org/data/epslapl.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.