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Viscous Population Equilibria

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  • Roger B. Myerson

Abstract

Viscosity in a biological population is the tendency of individuals to have a higher rate of interactions with their closer relatives than with similar numbers of more distantly related individuals. This paper presents a simple method of equilibrium analysis to predict the effect of viscosity in biological games. Taking the limit as viscosity goes to zero, a set of fluid population equilibria is defined. The set of fluid population equilibria is nonempty and includes all evolutionary stable strategies.

Suggested Citation

  • Roger B. Myerson, 1990. "Viscous Population Equilibria," Discussion Papers 906, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:906
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    References listed on IDEAS

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    1. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    2. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    3. Swinkels, Jeroen M., 1992. "Evolutionary stability with equilibrium entrants," Journal of Economic Theory, Elsevier, vol. 57(2), pages 306-332, August.
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    Cited by:

    1. Thorbjørn Knudsen, 2002. "The Evolution of Cooperation in Structured Populations," Constitutional Political Economy, Springer, vol. 13(2), pages 129-148, June.
    2. Evelyn Gick, Wolfgang Gick, 2000. "Hayek's Theory of Cultural Evolution Revisited: Rules, Morality, and the Sensory Order," Working Paper Series B 2000-01, Friedrich-Schiller-Universität Jena, Wirtschaftswissenschaftliche Fakultïät.
    3. Grimm, Veronika & Mengel, Friederike, 2011. "Matching technology and the choice of punishment institutions in a prisoner's dilemma game," Journal of Economic Behavior & Organization, Elsevier, vol. 78(3), pages 333-348, May.
    4. Rhode, Paul & Stegeman, Mark, 2001. "Non-Nash equilibria of Darwinian dynamics with applications to duopoly," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 415-453, March.
    5. Ted Bergstrom, 2001. "The Algebra of Assortativity and the Evolution of Cooperation," Game Theory and Information 0106002, University Library of Munich, Germany.
    6. Mengel, Friederike, 2008. "Matching structure and the cultural transmission of social norms," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 608-623, September.
    7. Fosco, Constanza & Mengel, Friederike, 2011. "Cooperation through imitation and exclusion in networks," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 641-658, May.
    8. Jung-Kyoo Choi, 2008. "Play locally, learn globally: group selection and structural basis of cooperation," Journal of Bioeconomics, Springer, vol. 10(3), pages 239-257, December.
    9. Mengel, Friederike, 2014. "Learning by (limited) forward looking players," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 59-77.
    10. Susan Lee, 1999. "Assortative Interactions and Endogenous Stratification," Working Papers 99-08-056, Santa Fe Institute.
    11. Traxler, Christian, 2010. "Social norms and conditional cooperative taxpayers," European Journal of Political Economy, Elsevier, vol. 26(1), pages 89-103, March.
    12. Friederike Mengel & Veronika Grimm, 2007. "Group Selection With Imperfect Separation - An Experiment," Working Papers. Serie AD 2007-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    13. Binmore, Ken & Samuelson, Larry, 2001. "Coordinated Action in the Electronic Mail Game," Games and Economic Behavior, Elsevier, vol. 35(1-2), pages 6-30, April.
    14. Milchtaich, Igal, 2012. "Comparative statics of altruism and spite," Games and Economic Behavior, Elsevier, vol. 75(2), pages 809-831.
    15. Evelyn Gick & Wolfgang Gick, 2001. "F.A. Hayek’s theory of mind and theory of cultural evolution revisited: Toward and integrated perspective," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 2(1), pages 149-162, March.
    16. Grimm, Veronika & Mengel, Friederike, 2009. "Cooperation in viscous populations--Experimental evidence," Games and Economic Behavior, Elsevier, vol. 66(1), pages 202-220, May.
    17. Joerg Oechssler, 1993. "Competition among Conventions," Game Theory and Information 9312001, University Library of Munich, Germany, revised 04 Dec 1993.
    18. Samuelson, Larry, 2001. "Analogies, Adaptation, and Anomalies," Journal of Economic Theory, Elsevier, vol. 97(2), pages 320-366, April.
    19. Knudsen, Thorbjorn, 2003. "Simon's selection theory: Why docility evolves to breed successful altruism," Journal of Economic Psychology, Elsevier, vol. 24(2), pages 229-244, April.
    20. Friederike Mengel, 2006. "A Model Of Immigration, Integration And Cultural Transmission Of Social Norms," Working Papers. Serie AD 2006-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    21. repec:wsi:igtrxx:v:05:y:2003:i:03:n:s0219198903001021 is not listed on IDEAS
    22. Theodore C. Bergstrom, 2003. "The Algebra of Assortative Encounters and the Evolution of Cooperation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 211-228.
    23. Jonathan Bendor & Piotr Swistak, 1998. "Evolutionary Equilibria: Characterization Theorems and Their Implications," Theory and Decision, Springer, vol. 45(2), pages 99-159, October.

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