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Evolution of Repeated Prisoner's Dilemma Play under Logit Dynamics

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  • Ochea, M.

    (University of Amsterdam)

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 3x3 ecologies comprising Pavlovian and "generous" (GTFT) players. Interestingly, the evolutionary success of Pavlov seems to depend on the absence of unconditional (AllC) cooperators in the ecologies investigated.

Suggested Citation

  • Ochea, M., 2012. "Evolution of Repeated Prisoner's Dilemma Play under Logit Dynamics," CeNDEF Working Papers 12-10, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    • Handle: RePEc:ams:ndfwpp:12-10
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    References listed on IDEAS

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    1. Imhof, Lorens & Nowak, Martin & Fudenberg, Drew, 2007. "Tit-for-Tat or Win-Stay, Lose-Shift?," Scholarly Articles 3200671, Harvard University Department of Economics.
    2. Todd Evans (ed.), 2010. "Nonlinear Dynamics," Books, IntechOpen, number 344, January-J.
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