Robust stochastic stability
AbstractA strategy profile of a game is called robustly stochastically stable if it is stochastically stable for a given behavioral model independently of the specification of revision opportunities and tie-breaking assumptions in the dynamics. We provide a simple radius-coradius result for robust stochastic stability and examine several applications. For the logit-response dynamics, the selection of potential maximizers is robust for the subclass of supermodular symmetric binary-action games. For the mistakes model, the weaker property of strategic complementarity suffices for robustness in this class of games. We also investigate the robustness of the selection of risk-dominant strategies in coordination games under best-reply and the selection of Walrasian strategies in aggregative games under imitation.
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Bibliographic InfoPaper provided by Department of Economics - University of Zurich in its series ECON - Working Papers with number 063.
Date of creation: Feb 2012
Date of revision: Jan 2014
Learning in games; stochastic stability; radius-coradius theorems; logit-response dynamics; mutations; imitation;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-02-20 (All new papers)
- NEP-GTH-2012-02-20 (Game Theory)
- NEP-MIC-2012-02-20 (Microeconomics)
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