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Stochastic stability and the evolution of coordination in spatially structured populations

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  • Van Cleve, Jeremy
  • Lehmann, Laurent

Abstract

Animals can often coordinate their actions to achieve mutually beneficial outcomes. However, this can result in a social dilemma when uncertainty about the behavior of partners creates multiple fitness peaks. Strategies that minimize risk (“risk dominant†) instead of maximizing reward (“payoff dominant†) are favored in economic models when individuals learn behaviors that increase their payoffs. Specifically, such strategies are shown to be “stochastically stable†(a refinement of evolutionary stability).

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  • Van Cleve, Jeremy & Lehmann, Laurent, 2013. "Stochastic stability and the evolution of coordination in spatially structured populations," Theoretical Population Biology, Elsevier, vol. 89(C), pages 75-87.
    • Handle: RePEc:eee:thpobi:v:89:y:2013:i:c:p:75-87
    DOI: 10.1016/j.tpb.2013.08.006
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    References listed on IDEAS

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    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
    2. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    3. Sella, Guy, 2009. "An exact steady state solution of Fisher’s geometric model and other models," Theoretical Population Biology, Elsevier, vol. 75(1), pages 30-34.
    4. Champagnat, Nicolas, 2006. "A microscopic interpretation for adaptive dynamics trait substitution sequence models," Stochastic Processes and their Applications, Elsevier, vol. 116(8), pages 1127-1160, August.
    5. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
    6. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    7. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    8. Kurokawa, Shun & Ihara, Yasuo, 2013. "Evolution of social behavior in finite populations: A payoff transformation in general n-player games and its implications," Theoretical Population Biology, Elsevier, vol. 84(C), pages 1-8.
    9. Weissman, Daniel B. & Desai, Michael M. & Fisher, Daniel S. & Feldman, Marcus W., 2009. "The rate at which asexual populations cross fitness valleys," Theoretical Population Biology, Elsevier, vol. 75(4), pages 286-300.
    10. , H., 2010. "Orders of limits for stationary distributions, stochastic dominance, and stochastic stability," Theoretical Economics, Econometric Society, vol. 5(1), January.
    11. Binmore Kenneth G. & Samuelson Larry & Vaughan Richard, 1995. "Musical Chairs: Modeling Noisy Evolution," Games and Economic Behavior, Elsevier, vol. 11(1), pages 1-35, October.
    12. Crawford, Vincent P., 1991. "An "evolutionary" interpretation of Van Huyck, Battalio, and Beil's experimental results on coordination," Games and Economic Behavior, Elsevier, vol. 3(1), pages 25-59, February.
    13. Fudenberg, D. & Harris, C., 1992. "Evolutionary dynamics with aggregate shocks," Journal of Economic Theory, Elsevier, vol. 57(2), pages 420-441, August.
    14. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    15. repec:hhs:iuiwop:487 is not listed on IDEAS
    16. Binmore, Ken, 2007. "Playing for Real: A Text on Game Theory," OUP Catalogue, Oxford University Press, number 9780195300574.
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    Cited by:

    1. Nöldeke, Georg & Peña, Jorge, 2018. "Group size effects in social evolution," IAST Working Papers 18-75, Institute for Advanced Study in Toulouse (IAST).
    2. Van Cleve, Jeremy, 2015. "Social evolution and genetic interactions in the short and long term," Theoretical Population Biology, Elsevier, vol. 103(C), pages 2-26.
    3. Peña, Jorge & Nöldeke, Georg & Lehmann, Laurent, 2014. "Relatedness and synergies of kind and scale in the evolution of helping," Working papers 2014/09, Faculty of Business and Economics - University of Basel.

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