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.
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Paper provided by ESRC Centre on Economics Learning and Social Evolution in its series ELSE working papers with number
016.
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Carlsson, Hans & van Damme, Eric, 1993.
"Global Games and Equilibrium Selection,"
Econometrica,
Econometric Society, vol. 61(5), pages 989-1018, September.
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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 451-81, May.