IDEAS home Printed from https://ideas.repec.org/p/sla/eakjkl/31.html
   My bibliography  Save this paper

The relativistic velocity addition law optimizes a forecast gambler's profit

Author

Listed:
  • Edward W. Piotrowski
  • Jerzy Luczka

Abstract

We extend the projective covariant bookmaker's bets model to the forecasting gamblers case. The probability of correctness of forecasts shifts probabilities of branching. The formula for the shift of probabilities leads to the velocity addition rule of the special theory of relativity. In the absence of information about bookmaker's wagers the stochastic logarithmic rates completely determines the optimal stakes of forecast gambler.

Suggested Citation

  • 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.
    • Handle: RePEc:sla:eakjkl:31
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/0709.4137v1
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Szczypińska, Anna & Piotrowski, Edward W., 2008. "Projective market model approach to AHP decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.
    3. Marcin Makowski & Edward W. Piotrowski, "undated". "Quantum Cat's Dilemma: an Example of Intransitivity in a Quantum Game," Departmental Working Papers 28, University of Bialtystok, Department of Theoretical Physics.
    4. 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.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Szczypińska, Anna & Piotrowski, Edward W., 2008. "Projective market model approach to AHP decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.
    2. Szczypińska, Anna & Piotrowski, Edward W., 2009. "Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 907-915.
    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. 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 & Jan Sladkowski & Anna Szczypinska, "undated". "Reinforcement Learning in Market Games," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics.
    6. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Transmemetic Intelligence," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.
    7. Marcin Makowski & Edward W. Piotrowski & Piotr Frk{a}ckiewicz & Marek Szopa, 2022. "Transactional Interpretation for the Principle of Minimum Fisher Information," Papers 2203.12607, arXiv.org.
    8. F. Bagarello & E. Haven, 2014. "Towards a formalization of a two traders market with information exchange," Papers 1412.8725, arXiv.org.
    9. Jing, You-Yin & Bai, He & Wang, Jiang-Jiang, 2012. "A fuzzy multi-criteria decision-making model for CCHP systems driven by different energy sources," Energy Policy, Elsevier, vol. 42(C), pages 286-296.
    10. 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.
    11. Wang, Jiang-Jiang & Jing, You-Yin & Zhang, Chun-Fa & Shi, Guo-Hua & Zhang, Xu-Tao, 2008. "A fuzzy multi-criteria decision-making model for trigeneration system," Energy Policy, Elsevier, vol. 36(10), pages 3823-3832, October.
    12. 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.

    More about this item

    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:31. See general information about how to correct material in RePEc.

    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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/epslapl.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.