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Asymmetric Equilibria in Symmetric Multiplayer Prisoners Dilemma Supergames

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  • Davidson Cheng

Abstract

We propose a finite automaton-style solution concept for supergames. In our model, we define an equilibrium to be a cycle of state switches and a supergame to be an infinite walk on states of a finite stage game. We show that if the stage game is locally non-cooperative, and the utility function is monotonously decreasing as the number of defective agents increases, the symmetric multiagent prisoners' dilemma supergame must contain one symmetric equilibrium and can contain asymmetric equilibria.

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  • Davidson Cheng, 2022. "Asymmetric Equilibria in Symmetric Multiplayer Prisoners Dilemma Supergames," Papers 2205.13772, arXiv.org.
    • Handle: RePEc:arx:papers:2205.13772
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    References listed on IDEAS

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    1. Fey, Mark, 2012. "Symmetric games with only asymmetric equilibria," Games and Economic Behavior, Elsevier, vol. 75(1), pages 424-427.
    2. Fudenberg, Drew & Maskin, Eric, 1990. "Evolution and Cooperation in Noisy Repeated Games," American Economic Review, American Economic Association, vol. 80(2), pages 274-279, May.
    3. Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
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