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Proceedings Paper

Mathematical background of Parrondo's paradox
Author(s): Ehrhard Behrends
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Paper Abstract

Parrondo's paradox states that there are losing gambling games which, when being combined stochastically or in a suitable deterministic way, give rise to winning games. Here we investigate the probabilistic background. We show how the properties of the equilibrium distributions of the Markov chains under consideration give rise to the paradoxical behavior, and we provide methods how to find the best a priori strategies.

Paper Details

Date Published: 25 May 2004
PDF: 10 pages
Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); doi: 10.1117/12.556420
Show Author Affiliations
Ehrhard Behrends, Freie Univ. Berlin (Germany)

Published in SPIE Proceedings Vol. 5471:
Noise in Complex Systems and Stochastic Dynamics II
Zoltan Gingl, Editor(s)

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