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Cooperation, imitation and partial rematching

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  • Rivas, Javier

Abstract

We study a setting in which imitative players are matched into pairs to play a Prisonerʼs Dilemma game. A well-known result in such setting is that under random matching cooperation vanishes for any interior initial condition. The novelty of this paper is that we consider partial rematching: players that belong to a pair in which both parties cooperate repeat partner next period, while all other players are randomly matched into pairs. Under certain conditions, this rematching mechanism makes cooperation the unique outcome in the long run. Furthermore, we show that if imitation happens infrequently enough then cooperative behavior is always present in the population.

Suggested Citation

  • Rivas, Javier, 2013. "Cooperation, imitation and partial rematching," Games and Economic Behavior, Elsevier, vol. 79(C), pages 148-162.
    • Handle: RePEc:eee:gamebe:v:79:y:2013:i:c:p:148-162
    DOI: 10.1016/j.geb.2013.01.011
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    Cited by:

    1. Jiabin Wu, 2021. "Matching markets and cultural selection," Review of Economic Design, Springer;Society for Economic Design, vol. 25(4), pages 267-288, December.
    2. Jiabin Wu, 2020. "Labelling, homophily and preference evolution," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 1-22, March.
    3. Martin Holubčík & Jakub Soviar & Viliam Lendel, 2022. "Through Synergy in Cooperation towards Sustainable Business Strategy Management," Sustainability, MDPI, vol. 15(1), pages 1-30, December.
    4. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    5. Simon D Angus & Jonathan Newton, 2020. "Collaboration leads to cooperation on sparse networks," PLOS Computational Biology, Public Library of Science, vol. 16(1), pages 1-11, January.
    6. Ziwei Wang & Jiabin Wu, 2023. "Partner Choice and Morality: Preference Evolution under Stable Matching," Papers 2304.11504, arXiv.org, revised Oct 2023.
    7. Izquierdo, Luis R. & Izquierdo, Segismundo S. & Vega-Redondo, Fernando, 2014. "Leave and let leave: A sufficient condition to explain the evolutionary emergence of cooperation," Journal of Economic Dynamics and Control, Elsevier, vol. 46(C), pages 91-113.
    8. Jiabin Wu, 2017. "Social Hierarchy and the Evolution of Behavior," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-16, December.
    9. Bilancini, Ennio & Boncinelli, Leonardo & Wu, Jiabin, 2018. "The interplay of cultural intolerance and action-assortativity for the emergence of cooperation and homophily," European Economic Review, Elsevier, vol. 102(C), pages 1-18.

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    More about this item

    Keywords

    Cooperation; Partial rematching; Imitation; Prisonerʼs Dilemma;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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