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Partners or rivals? Strategies for the iterated prisoner's dilemma

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  • Hilbe, Christian
  • Traulsen, Arne
  • Sigmund, Karl

Abstract

Within the class of memory-one strategies for the iterated Prisoner's Dilemma, we characterize partner strategies, competitive strategies and zero-determinant strategies. If a player uses a partner strategy, both players can fairly share the social optimum; but a co-player preferring an unfair solution will be penalized by obtaining a reduced payoff. A player using a competitive strategy never obtains less than the co-player. A player using a zero-determinant strategy unilaterally enforces a linear relation between the two players' payoffs. These properties hold for every strategy used by the co-player, whether memory-one or not.

Suggested Citation

  • Hilbe, Christian & Traulsen, Arne & Sigmund, Karl, 2015. "Partners or rivals? Strategies for the iterated prisoner's dilemma," Games and Economic Behavior, Elsevier, vol. 92(C), pages 41-52.
    • Handle: RePEc:eee:gamebe:v:92:y:2015:i:c:p:41-52
    DOI: 10.1016/j.geb.2015.05.005
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    More about this item

    Keywords

    Repeated games; Zero-determinant strategies; Cooperation; Reciprocity; Extortion;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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