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Stochastic Evolutionary Dynamics in the Repeated Prisoners' Dilemma

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  • Linster, Bruce G

Abstract

This paper explores boundedly rational behavior in the infinitely repeated prisoners' dilemma. Strategy choices are modeled as finite automata and the evolution of populations through asexual reproduction with mutation is explored. Evolutionary success is based on how well the strategy does in an infinite game against randomly matched opponents and mutation schemes based on a stylized model of these strategies are employed. The results demonstrate when either defecting or cooperating strategies tend to evolve, depending on how important the future is. Interestingly, when the strategies are allowed to become tolerant of defections, the population cycles between defecting and cooperating strategies. Copyright 1994 by Oxford University Press.

Suggested Citation

  • Linster, Bruce G, 1994. "Stochastic Evolutionary Dynamics in the Repeated Prisoners' Dilemma," Economic Inquiry, Western Economic Association International, vol. 32(2), pages 342-357, April.
    • Handle: RePEc:oup:ecinqu:v:32:y:1994:i:2:p:342-57
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    Cited by:

    1. van Veelen, Matthijs & García, Julián, 2019. "In and out of equilibrium II: Evolution in repeated games with discounting and complexity costs," Games and Economic Behavior, Elsevier, vol. 115(C), pages 113-130.
    2. Samuelson, Larry, 1996. "Bounded rationality and game theory," The Quarterly Review of Economics and Finance, Elsevier, vol. 36(Supplemen), pages 17-35.
    3. James E. West & Bruce Linster, 2003. "The Evolution of Fuzzy Rules as Strategies in Two‐Player Games," Southern Economic Journal, John Wiley & Sons, vol. 69(3), pages 705-717, January.
    4. García, Julián & van Veelen, Matthijs, 2016. "In and out of equilibrium I: Evolution of strategies in repeated games with discounting," Journal of Economic Theory, Elsevier, vol. 161(C), pages 161-189.

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