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

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Author Info
Edward W. Piotrowski ()
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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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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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!]
  2. 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. [Downloadable!]
  3. Anna Szczypinska & Edward W. Piotrowski, . "Projective Market Model Approach to AHP Decision-Making," Departmental Working Papers 32, University of Bialtystok, Department of Theoretical Physics. [Downloadable!]
  4. Edward W. Piotrowski & Malgorzata Schroeder, . "Kelly Criterion Revisited: Optimal Bets," Departmental Working Papers 24, University of Bialtystok, Department of Theoretical Physics. [Downloadable!]
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  1. Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, . "Reinforcement Learning in Market Games," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics. [Downloadable!]
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