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Evolutive Equilibrium Selection I: Symmetric Two Player Binarychoice Games


  • Richard Vaughan


The aim of the paper is the construction of a distributional model which enables the study of the evolutionary dynamics that arise for symmetric games, and the equilibrium selection mechanisms that originate from such processes. The evolution of probability distributions over the state variables is studied using the Fokker- Planck dif-fusion equation. Equilibrium selection using the "basin of attraction" approach, and a selection process suggested by Pontryagin are contrasted. Examples are provided for all generic 2-person symmetric binary choice games.

Suggested Citation

  • Richard Vaughan, "undated". "Evolutive Equilibrium Selection I: Symmetric Two Player Binarychoice Games," ELSE working papers 016, ESRC Centre on Economics Learning and Social Evolution.
  • Handle: RePEc:els:esrcls:016

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    References listed on IDEAS

    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, January.
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    7. Binmore, K. & Samuelson, L. & Vaughan, R., 1993. "Musical Chairs: Modelling Noisy Evolution," Working papers 9324, Wisconsin Madison - Social Systems.
    8. Fudenberg, D. & Harris, C., 1992. "Evolutionary dynamics with aggregate shocks," Journal of Economic Theory, Elsevier, vol. 57(2), pages 420-441, August.
    9. 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.
    10. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-956, July.
    11. van Damme, E.E.C. & Carlsson, H., 1993. "Equilibrium selection in stag hunt games," Other publications TiSEM 8951ae88-c6e4-42e6-b253-b, Tilburg University, School of Economics and Management.
    12. Ken Binmore & Larry Samuelson, 1994. "Muddling Through: Noisy Equilibrium Selection," Game Theory and Information 9410002, EconWPA.
    13. Cabrales, Antonio, 2000. "Stochastic Replicator Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 451-481, May.
    14. Carlsson, H. & Van Dame, E., 1991. "Equilibrium Selection in Stag Hunt Games," Papers 9170, Tilburg - Center for Economic Research.
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    Symmetric Games; Equilibrium Selection;


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