Optimal strategies for collective Parrondo games

집단 파론도 게임의 최적 전략

  • Lee, Ji-Yeon (Department of Statistics, Yeungnam University)
  • Published : 2009.11.30


Two losing games that can be combined, either by periodic alternation or by random mixture, to form a winning game are known as Parrondo games. We consider a collective version of Parrondo games in which players are allowed to choose the game to be played by the whole ensemble in each turn. In this paper, we analyze the long-range optimization strategy for all choices of the parameters and find the expected average profit in the steady state.


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