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Group-separations based on the repeated prisoners’ dilemma games

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  • Huang, Yuankan
  • Inohara, Takehiro

Abstract

We model group-separations in an n-player set. In the n-player set, every two players play an infinitely repeated two-player prisoners’ dilemma game. Each player takes a mixed strategy to play the game and trigger strategy is used to punish the deviator. Let all players share a common discount factor δ. We find that with the variation of δ, the n-player set is separated into several subsets such that (1) for any two players in any two different subsets, their strategy profile is not a subgame perfect equilibrium and (2) each subset cannot be separated into several subsets that satisfy (1). Such subsets are called groups and the separation is called group-separation. We aim to specify the intervals (of δ) such that group-separations emerge. Particularly, we focus on the relationship between the interval and the form of each group-separation.

Suggested Citation

  • Huang, Yuankan & Inohara, Takehiro, 2015. "Group-separations based on the repeated prisoners’ dilemma games," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 267-275.
    • Handle: RePEc:eee:apmaco:v:256:y:2015:i:c:p:267-275
    DOI: 10.1016/j.amc.2015.01.040
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    References listed on IDEAS

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