Controlling conditional expectations by zero-determinant strategies

12/17/2020

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by   Masahiko Ueda, et al.

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We show that memory-n zero-determinant strategies in repeated games can be used to control conditional averages of payoffs. Equivalently, they can be used to control average payoffs in biased ensembles. We provide several examples of memory-n zero-determinant strategies in repeated prisoner's dilemma game. We also explain that a deformed version of zero-determinant strategies is easily extended to the memory-n case.