Robust stochastic stability
A 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.
|Date of creation:||Feb 2012|
|Date of revision:||Jan 2014|
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- Alós-Ferrer, Carlos & Netzer, Nick, 2010.
"The logit-response dynamics,"
Games and Economic Behavior,
Elsevier, vol. 68(2), pages 413-427, March.
- BERGIN, James & LIPMAN, Bart, 1994.
"Evolution with State-Dependent Mutations,"
CORE Discussion Papers
1994055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Arthur J Robson & Fernando Vega-Redondo, 1999.
"Efficient Equilibrium Selection in Evolutionary Games with Random Matching,"
Levine's Working Paper Archive
2112, David K. Levine.
- Robson, Arthur J. & Vega-Redondo, Fernando, 1996. "Efficient Equilibrium Selection in Evolutionary Games with Random Matching," Journal of Economic Theory, Elsevier, vol. 70(1), pages 65-92, July.
- Maruta, Toshimasa, 2002. "Binary Games with State Dependent Stochastic Choice," Journal of Economic Theory, Elsevier, vol. 103(2), pages 351-376, April.
- Carlos Alós-Ferrer & Ana Ania, 2005. "The evolutionary stability of perfectly competitive behavior," Economic Theory, Springer, vol. 26(3), pages 497-516, October.
- Maruta, Toshimasa & Okada, Akira, 2009. "Stochastically Stable Equilibria in Coordination Games with Multiple Populations," Discussion Papers 2009-01, Graduate School of Economics, Hitotsubashi University.
- Daijiro Okada & Olivier Tercieux, 2008.
"Log-linear Dynamics and Local Potential,"
Departmental Working Papers
200807, Rutgers University, Department of Economics.
- Myatt, David P. & Wallace, Chris, 2003.
"A multinomial probit model of stochastic evolution,"
Journal of Economic Theory,
Elsevier, vol. 113(2), pages 286-301, December.
- David P. Myatt & Chris Wallace, 2002. "A Multinomial Probit Model of Stochastic Evolution," Economics Series Working Papers 90, University of Oxford, Department of Economics.
- repec:oxf:wpaper:090 is not listed on IDEAS
- Carlos Alós-Ferrer, 2000. "Finite Population Dynamics and Mixed Equilibria," Vienna Economics Papers 0008, University of Vienna, Department of Economics.
- Simon Weidenholzer, 2010. "Coordination Games and Local Interactions: A Survey of the Game Theoretic Literature," Games, MDPI, Open Access Journal, vol. 1(4), pages 551-585, November.
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