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Imitation of Cooperation in Prisoner's Dilemma Games with Some Local Interaction

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  • Maarten C.W. Janssen

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    (Erasmus University Rotterdam)

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    Abstract

    In this paper I study conditions for the emergence of cooperativebehavior in a dynamic model of population interaction.The model has finitely many individuals located on a circle. The pay-off of each individual is partly based on the (local)interaction with neighbors and partly on (uniform) interaction withthe whole population. The dynamics is driven byimitative behavior. I show that for a large class of parameterscooperation will emerge if the population is large; if thepopulation is small, defection will prevail in the long run. Theresult contrasts with conventional wisdom which says that thelarger the population, the less likely cooperation will be.

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    Bibliographic Info

    Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 00-019/1.

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    Date of creation: 22 Mar 2000
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    Handle: RePEc:dgr:uvatin:20000019

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    Web page: http://www.tinbergen.nl

    Related research

    Keywords: Cooperation; Prisoner's Dilemma; Evolutionary Game Theory; Local Interaction;

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    1. Ted Bergstrom & Oded Stark, . "How Altruism Can Prevail in an Evolutionary Environment," Papers _024, University of Michigan, Department of Economics.
    2. D. Fudenberg & E. Maskin, 2010. "Evolution and Cooperation in Noisy Repeated Games," Levine's Working Paper Archive 546, David K. Levine.
    3. repec:att:wimass:9612 is not listed on IDEAS
    4. Huck, Steffen & Oechssler, Jorg, 1999. "The Indirect Evolutionary Approach to Explaining Fair Allocations," Games and Economic Behavior, Elsevier, vol. 28(1), pages 13-24, July.
    5. Bergstrom, Theodore C, 1995. "On the Evolution of Altruistic Ethical Rules for Siblings," American Economic Review, American Economic Association, vol. 85(1), pages 58-81, March.
    6. Stanley, E.A. & Ashlock, Daniel & Tesfatsion, Leigh, 1994. "Iterated Prisoner's Dilemma with Choice and Refusal of Partners," Staff General Research Papers 11180, Iowa State University, Department of Economics.
    7. Nachbar, John H., 1992. "Evolution in the finitely repeated prisoner's dilemma," Journal of Economic Behavior & Organization, Elsevier, vol. 19(3), pages 307-326, December.
    8. Goyal, Sanjeev & Janssen, Maarten C. W., 1997. "Non-Exclusive Conventions and Social Coordination," Journal of Economic Theory, Elsevier, vol. 77(1), pages 34-57, November.
    9. Eshel, I. & Samuelson, L. & Shaked, A., 1996. "Altruists, Egoists and Hooligans in a Local Interaction Model," Working papers 9612r, Wisconsin Madison - Social Systems.
    10. Fernando Vega Redondo, 1996. "The evolution of walrasian behavior," Working Papers. Serie AD 1996-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
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    Cited by:
    1. Jurjen Kamphorst & Gerard van der Laan, 2006. "Learning in a Local Interaction Hawk-Dove Game," Tinbergen Institute Discussion Papers 06-034/1, Tinbergen Institute.

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