Winning combinations of history-dependent games

Roland J. Kay, Neil F. Johnson

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


A study was performed to demonstrate that the apparently paradoxical effect of two losing games combining to produce a winning game also applies to combinations of two history-dependent games. Expressions were derived for the regions of the parameter space in which the effect is observed for both random and periodic combinations of these games. Hence, the understanding of the Parrondo effect was expanded by demonstrating its existence for new combinations of history-dependent games.

Original languageEnglish (US)
Article number056128
Pages (from-to)056128/1-056128/6
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number5 2
StatePublished - May 1 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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