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

Edward Piotrowski () and Jerzy Luczka ()

Departmental Working Papers from University of Bialtystok, Department of Theoretical Physics

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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