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dc.contributor.authorAmengual, Pauen_US
dc.contributor.authorAllison, Andrewen_US
dc.contributor.authorToral, Raúlen_US
dc.contributor.authorAbbott, Dereken_US
dc.date.accessioned2008-10-03T11:37:46Z-
dc.date.available2008-10-03T11:37:46Z-
dc.date.issued2004-08-08en_US
dc.identifier.citationProceedings of the Royal Society of London A 460(2048): 2269-2284 (2004)en_US
dc.identifier.issn1364-5021-
dc.identifier.urihttp://hdl.handle.net/10261/7523-
dc.description16 pages (final publisher version), 17 pages, 5 figures (attached post-print version).-- Published online 5 May 2004.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0308609-
dc.description.abstractParrondo’s games manifest the apparent paradox where losing strategies can be combined to win and have generated significant multidisciplinary interest in the literature. Here we review two recent approaches, based on the Fokker–Planck equation, that rigorously establish the connection between Parrondo’s games and a physical model known as the flashing Brownian ratchet. This gives rise to a new set of Parrondo’s games, of which the original games are a special case. For the first time, we perform a complete analysis of the new games via a discrete-time Markov chain analysis, producing winning rate equations and an exploration of the parameter space where the paradoxical behaviour occurs.-
dc.description.sponsorshipThis work was supported by GTECH Australasia; the Ministerio de Ciencia y Tecnología (Spain) and FEDER, projects BFM2001-0341-C02-01 and BFM2000-1108; P.A. acknowledges support from the Govern Balear, Spain.-
dc.format.extent2373 bytes-
dc.format.extent369129 bytes-
dc.format.mimetypetext/plain-
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherRoyal Society (Great Britain)-
dc.rightsopenAccess-
dc.subjectParrondo's Paradox-
dc.subjectFokker-Planck Equation-
dc.subjectBrownian Ratchet-
dc.titleDiscrete-time ratchets, the Fokker-Planck equation and Parrondo's Paradoxen_US
dc.typeartículoen_US
dc.identifier.doihttp://dx.doi.org/10.1098/rspa.2004.1283-
dc.description.peerreviewedPeer reviewed-
dc.relation.publisherversionhttp://dx.doi.org/10.1098/rspa.2004.1283-
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