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Viscous Population Equilibria

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Roger B. Myerson

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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.

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 906.

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Date of creation: Sep 1990
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Handle: RePEc:nwu:cmsems:906

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  1. Swinkels, Jeroen M., 1992. "Evolutionary stability with equilibrium entrants," Journal of Economic Theory, Elsevier, vol. 57(2), pages 306-332, August. [Downloadable!] (restricted)
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  2. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September. [Downloadable!] (restricted)
  3. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July. [Downloadable!] (restricted)
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  1. 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-Universit�t Jena, Wirtschaftswissenschaftliche Fakult�t. [Downloadable!]
  2. Joerg Oechssler, 1993. "Competition among Conventions," Game Theory and Information 9312001, EconWPA, revised 04 Dec 1993. [Downloadable!]
  3. Traxler, Christian, 2006. "Social Norms and Conditional Cooperative Taxpayers," Discussion Papers in Economics 1202, University of Munich, Department of Economics. [Downloadable!]
  4. 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). [Downloadable!]
  5. Joosten ,Reinoud, 1995. "Evolution, dynamics, and fixed points," Research Memoranda 005, Maastricht : MERIT, Maastricht Economic Research Institute on Innovation and Technology. [Downloadable!]
  6. Mengel, Friederike, 2008. "Learning by (limited) forward looking players," Research Memoranda 053, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  7. 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. [Downloadable!] (restricted)
  8. Ted Bergstrom, 2001. "The Algebra of Assortative Encounters and the Evolution of Cooperation," University of California at Santa Barbara, Economics Working Paper Series wp13-01, Department of Economics, UC Santa Barbara. [Downloadable!]
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  9. Susan Lee, 1999. "Assortative Interactions and Endogenous Stratification," Working Papers 99-08-056, Santa Fe Institute.
  10. 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). [Downloadable!]
  11. Evelyn Gick & Wolfgang Gick, 2001. "F.A. Hayek’s theory of mind and theory of cultural evolution revisited: Toward and integrated perspective," Mind and Society: Cognitive Studies in Economics and Social Sciences, Fondazione Rosselli, vol. 2(1), pages 149-162, March. [Downloadable!] (restricted)
  12. Friederike Mengel & Veronika Grimm, 2007. "Cooperation In Viscous Populations - Experimental Evidence," Working Papers. Serie AD 2007-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
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  13. Steinmueller ,W. Edward, 1995. "The U.S. software industry : an analysis and interpretative history," Research Memoranda 006, Maastricht : MERIT, Maastricht Economic Research Institute on Innovation and Technology. [Downloadable!]
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