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Parrondo's capital and history-dependent games

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dc.contributor.authorHarmer, G.
dc.contributor.authorAbbott, D.
dc.contributor.authorParrondo, J.
dc.contributor.editorNowak, A.
dc.contributor.editorSzajowski, K.
dc.date.issued2005
dc.descriptionPapers based on presentations at the 9th International Symposium on Dynamic Games and Applications held in Adelaide, South Australia in Dec. 2000
dc.description.abstractIt has been shown that it is possible to construct two games that when played individually lose, but alternating randomly or deterministically between them can win. This apparent paradox has been dubbed “Parrondo’s paradox.” The original games are capital-dependent, which means that the winning and losing probabilities depend on how much capital the player currently has. Recently, new games have been devised, that are not capital-dependent, but historydependent. We present some analytical results using discrete-time Markovchain theory, which is accompanied by computer simulations of the games.
dc.description.urihttp://trove.nla.gov.au/work/16428787
dc.identifier.citationAdvances in Dynamic Games: Applications to Economics, Finance, Optimization, and Stochastic Control, 2005 / Nowak, A., Szajowski, K. (ed./s), vol.7, pp.635-648
dc.identifier.doi10.1007/0-8176-4429-6_33
dc.identifier.isbn0817643621
dc.identifier.isbn9780817643621
dc.identifier.orcidAbbott, D. [0000-0002-0945-2674]
dc.identifier.urihttp://hdl.handle.net/2440/30005
dc.language.isoen
dc.publisherBirkhauser
dc.publisher.placeBoston
dc.relation.ispartofseriesAnnals of the International Society of Dynamic Games ; v. 7
dc.source.urihttp://www.springerlink.com/content/l1118426353654p1/
dc.titleParrondo's capital and history-dependent games
dc.typeBook chapter
pubs.publication-statusPublished

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