Memory-two zero-determinant strategies in repeated games
نویسندگان
چکیده
منابع مشابه
Zero-determinant strategies in finitely repeated games.
Direct reciprocity is a mechanism for sustaining mutual cooperation in repeated social dilemma games, where a player would keep cooperation to avoid being retaliated by a co-player in the future. So-called zero-determinant (ZD) strategies enable a player to unilaterally set a linear relationship between the player's own payoff and the co-player's payoff regardless of the strategy of the co-play...
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Press and Dyson has recently revealed a new set of “zero-determinant” (ZD) strategies for repeated games, which grant a player with power of manipulation on the game’s payoffs. A ZD strategy player can unilaterally enforce a fixed linear relationship between his payoff and that of his opponent. In particular it can (i) deterministically set his opponent’s payoff to a fixed value, regardless of ...
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In this paper, we study k-memory strategies in two-person repeated games. An agent adopting such a strategy makes his decision only based on the action profiles of the previous k rounds. We show that in finitely repeated games, the best response of a k-memory strategy may not even be a constant-memory strategy. However, in infinitely repeated games, one of the best responses against any given k...
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Repeated game theory has been one of the most prevailing tools for understanding long-running relationships, which are the foundation in building human society. Recent works have revealed a new set of "zero-determinant" (ZD) strategies, which is an important advance in repeated games. A ZD strategy player can exert unilateral control on two players' payoffs. In particular, he can deterministica...
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Self-serving, rational agents sometimes cooperate to their mutual benefit. The two-player iterated prisoner’s dilemma game is a model for including the emergence of cooperation. It is generally believed that there is no simple ultimatum strategy which a player can control the return of the other participants. The recent discovery of the powerful class of zero-determinant strategies in the itera...
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ژورنال
عنوان ژورنال: Royal Society Open Science
سال: 2021
ISSN: 2054-5703
DOI: 10.1098/rsos.202186