Stochastic stability in asymmetric binary choice coordination games

Mathias Staudigl

Games and Economic Behavior, 2012, vol. 75, issue 1, 372-401

Abstract: A recent literature in evolutionary game theory is devoted to the question of robust equilibrium selection under noisy best-response dynamics. In this paper we present a complete picture of equilibrium selection for asymmetric binary choice coordination games in the small noise limit. We achieve this by transforming the stochastic stability analysis into an optimal control problem, which can be solved analytically. This approach allows us to obtain precise and clean equilibrium selection results for all canonical noisy best-response dynamics which have been proposed so far in the literature, among which we find the best-response with mutations dynamics, the logit dynamics and the probit dynamics.

Keywords: Evolutionary game theory; Stochastic stability; Equilibrium selection (search for similar items in EconPapers)
JEL-codes: C72 C73 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (21)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:75:y:2012:i:1:p:372-401

DOI: 10.1016/j.geb.2011.11.003

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