The paradox of Parrondo's games

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dc.contributor.authorHarmer, G.
dc.contributor.authorAbbott, D.
dc.contributor.authorTaylor, P.
dc.date.issued2000
dc.description.abstractWe introduce Parrondo's paradox that involves games of chance. We consider two fair games, A and B, both of which can be made to lose by changing a biasing parameter. An apparently paradoxical situation arises when the two games are played in any alternating order. A winning expectation is produced, even though both games A and B are losing when we play them individually. We develop an explanation of the phenomenon in terms of a Brownian ratchet model, and also develop a mathematical analysis using discrete-time Markov chains. Prom the analysis we investigate the range of parameter values for which Parrondo's paradox exists. © 2000 The Royal Society.
dc.description.statementofresponsibilityHarmer, Gregory P. ; Abbott, Derek ; Taylor, Peter G.
dc.identifier.citationProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2000; 456(1994):247-259
dc.identifier.doi10.1098/rspa.2000.0516
dc.identifier.issn1364-5021
dc.identifier.issn1471-2946
dc.identifier.orcidAbbott, D. [0000-0002-0945-2674]
dc.identifier.urihttp://hdl.handle.net/2440/2474
dc.language.isoen
dc.publisherRoyal Soc London
dc.source.urihttps://doi.org/10.1098/rspa.2000.0516
dc.titleThe paradox of Parrondo's games
dc.typeJournal article
pubs.publication-statusPublished

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