Memory-two zero-determinant strategies in repeated games

11/13/2020

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by   Masahiko Ueda, et al.

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We extend the concept of zero-determinant strategies to memory-two strategies in repeated games. Memory-two zero-determinant strategies unilaterally enforce linear relation between correlation functions of payoffs and payoffs at the previous round. Examples of memory-two zero-determinant strategy in repeated prisoner's dilemma game is provided. Extension of zero-determinant strategies to memory-n case with n≥ 2 is also straightforward.