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Evolution of repeated prisoner's dilemma play under logit dynamics

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  • Ochea, Marius-Ionut

Abstract

In an evolutionary set-up, we append an ecology of iterated prisoner's dilemma (IPD) game strategies, consisting of unconditional cooperators (AllC), unconditional defectors (AllD) and reactive players (TFT) with two repeated strategies that have received less attention in the evolutionary IPD game literature: the error-proof, “generous” tit-for-tat (GTFT) which, with a certain probability, re-establishes cooperation after a (possibly by mistake) defection of the opponent and the penitent, “stimulus–response” (WSLS) strategy that resets cooperation after the opponent punished for defection. An abundance of rock–paper–scissors like patterns is discovered in the 3×3 ecologies comprising Pavlovian and “generous” players. Interestingly, the evolutionary success of Pavlov seems to depend on the absence of unconditional cooperators in the ecologies investigated.

Suggested Citation

  • Ochea, Marius-Ionut, 2013. "Evolution of repeated prisoner's dilemma play under logit dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2483-2499.
    • Handle: RePEc:eee:dyncon:v:37:y:2013:i:12:p:2483-2499
    DOI: 10.1016/j.jedc.2013.06.012
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    Cited by:

    1. Sergio Beraldo & Robert Sugden, 2016. "The emergence of reciprocally beneficial cooperation," Theory and Decision, Springer, vol. 80(4), pages 501-521, April.

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    More about this item

    Keywords

    Prisoner's dilemma; Repeated games; Evolution; Pavlov;
    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
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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