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Title

Parrondo's games as a discrete ratchet

AuthorsToral, Raúl CSIC ORCID ; Amengual, Pau; Mangioni, Sergio
KeywordsParrondo paradox
Ratchets
Master equations
[PACS] Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
[PACS] Brownian motion
[PACS] Decision theory and game theory
Issue Date28-Jun-2003
PublisherElsevier
CitationPhysica A 327(1-2): 105-110 (2003)
SeriesIMEDEA-NL-102-03
AbstractWe write the master equation describing the Parrondo's games as a consistent discretization of the Fokker–Planck equation for an overdamped Brownian particle describing a ratchet. Our expressions, besides giving further insight on the relation between ratchets and Parrondo's games, allow us to precisely relate the games probabilities and the ratchet potential such that periodic potentials correspond to fair games and winning games produce a tilted potential.
Description6 pages, 3 figures.-- PACS nrs.: 05.10.Gg; 05.40.Jc; 02.50.Le.-- Printed version Sep 1, 2003.-- Issue title: Proceedings of the XIIIth Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics (Colonia del Sacramento, Uruguay, Dec 9-13, 2002).
ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0302324
Publisher version (URL)http://dx.doi.org/10.1016/S0378-4371(03)00459-X
URIhttp://hdl.handle.net/10261/14839
DOI10.1016/S0378-4371(03)00459-X
ISSN0378-4371
Appears in Collections:(IFISC) Artículos




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