Zero-determinant strategies in repeated incomplete-information games: Consistency of payoff relations

07/02/2018

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by   Masahiko Ueda, et al.

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We derive zero-determinant strategies for general multi-player multi-action repeated incomplete-information games. By formulating zero-determinant strategy in terms of linear algebra, we prove that linear payoff relations assigned by players always have solutions. An example for zero-determinant strategy in a repeated incomplete-information game is also provided.