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Altruistic Punishment: the Bridge Leading to the Other Side of the Evolution

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  • Dai, Darong

Abstract

In this paper, in order to study the strategic interactions between “cooperation”, “defection” and “altruistic punishment”, a mutation-selection dynamic, with the Prisoner's Dilemma as the background, has been established on an embedded Markov chain, proved the following conclusions: First, the “altruistic punishment”, even though not a Nash equilibrium, can be the only mutation-selection equilibrium when the population size goes to infinity; Second, the “cooperation”, even if been strictly dominated by the defection and altruistic punishment in the matrix game, will be the unique equilibrium of the evolutionary dynamics as the population size approaches infinity; that is to say, the altruistic punishment, even in very weak conditions, can effectively promote the evolution of cooperation.

Suggested Citation

  • Dai, Darong, 2011. "Altruistic Punishment: the Bridge Leading to the Other Side of the Evolution," MPRA Paper 40512, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:40512
    as

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    References listed on IDEAS

    as
    1. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    2. Sally, David, 2001. "On sympathy and games," Journal of Economic Behavior & Organization, Elsevier, vol. 44(1), pages 1-30, January.
    3. Erte Xiao & Daniel Houser, 2005. "Emotion expression in human punishment behavior," Experimental 0504003, University Library of Munich, Germany, revised 18 May 2005.
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    More about this item

    Keywords

    Prisoner's Dilemma; Evolutionary Game Theory; Mutation-Selection Equilibrium;
    All these keywords.

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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