Winning combinations of history-dependent games

Roland J. Kay, Neil F. Johnson
2003 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
The Parrondo effect describes the seemingly paradoxical situation in which two losing games can, when combined, become winning [Phys. Rev. Lett. 85, 24 (2000)]. Here we generalize this analysis to the case where both games are history-dependent, i.e. there is an intrinsic memory in the dynamics of each game. New results are presented for the cases of both random and periodic switching between the two games.
doi:10.1103/physreve.67.056128 pmid:12786241 fatcat:3p35javtjvg2ni36an4pclsp4q