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

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  • Edward W. Piotrowski

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  • Jerzy Luczka

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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.

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File URL: http://arxiv.org/pdf/0709.4137v1
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Bibliographic Info

Paper provided by University of Bialtystok, Department of Theoretical Physics in its series Departmental Working Papers with number 31.

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Handle: RePEc:sla:eakjkl:31

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  1. Edward W. Piotrowski & Malgorzata Schroeder, . "Kelly Criterion Revisited: Optimal Bets," Departmental Working Papers 24, University of Bialtystok, Department of Theoretical Physics.
  2. Edward W. Piotrowski & Jan Sladkowski, . "Geometry of Financial Markets - Towards Information Theory Model of Markets," Departmental Working Papers 26, University of Bialtystok, Department of Theoretical Physics.
  3. Marcin Makowski & Edward W. Piotrowski, . "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, vol. 57(2), pages 201-203, 05.
  5. S. Illeris & G. Akehurst, 2001. "Introduction," The Service Industries Journal, Taylor & Francis Journals, vol. 21(1), pages 1-4, January.
  6. Anna Szczypinska & Edward W. Piotrowski, . "Projective Market Model Approach to AHP Decision-Making," Departmental Working Papers 32, University of Bialtystok, Department of Theoretical Physics.
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Cited by:
  1. Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, . "Reinforcement Learning in Market Games," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics.

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