A Fokker--Planck description for Parrondo's games

We discuss in detail two recently proposed relations between the Parrondo's games and the Fokker--Planck equation describing the flashing ratchet as the overdamped motion of a particle in a potential landscape. In both cases it is possible to relate exactly the probabilities of the games to the...

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Bibliographic Details
Published inarXiv.org
Main Authors Toral, R, Amengual, P, Mangioni, S
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.04.2003
Subjects
Fokker-Planck equation
Game theory
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Summary:We discuss in detail two recently proposed relations between the Parrondo's games and the Fokker--Planck equation describing the flashing ratchet as the overdamped motion of a particle in a potential landscape. In both cases it is possible to relate exactly the probabilities of the games to the potential in which the overdamped particle moves. We will discuss under which conditions current-less potentials correspond to fair games and vice versa.
ISSN:2331-8422
DOI:10.48550/arxiv.0304684