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Equilibrium selection through pu-dominance

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  • Andrea Gallice

Abstract

This note introduces and discusses the concept of pu-dominance in the context of finite games in normal form. It then presents the pu-dominance criterion for equi- librium selection. The pu-dominance criterion is inspired by and closely related to the p-dominance criterion (Morris et al., 1995) but it presents some advantages. In particular, we provide sufficient conditions under which equilibrium selection through pu-dominance is weakly finer than equilibrium selection through p-dominance.

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  • Andrea Gallice, 2013. "Equilibrium selection through pu-dominance," Carlo Alberto Notebooks 327, Collegio Carlo Alberto.
    • Handle: RePEc:cca:wpaper:327
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    References listed on IDEAS

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    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, December.
    2. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    3. Miguel A. Costa-Gomes & Georg Weizsäcker, 2008. "Stated Beliefs and Play in Normal-Form Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 729-762.
    4. Tercieux, Olivier, 2006. "p-Best response set and the robustness of equilibria to incomplete information," Games and Economic Behavior, Elsevier, vol. 56(2), pages 371-384, August.
    5. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    6. Kojima, Fuhito, 2006. "Risk-dominance and perfect foresight dynamics in N-player games," Journal of Economic Theory, Elsevier, vol. 128(1), pages 255-273, May.
    7. Weizsacker, Georg, 2003. "Ignoring the rationality of others: evidence from experimental normal-form games," Games and Economic Behavior, Elsevier, vol. 44(1), pages 145-171, July.
    8. Atsushi Kajii & Stephen Morris, 1997. "The Robustness of Equilibria to Incomplete Information," Econometrica, Econometric Society, vol. 65(6), pages 1283-1310, November.
    9. Haruvy, Ernan & Stahl, Dale O., 2007. "Equilibrium selection and bounded rationality in symmetric normal-form games," Journal of Economic Behavior & Organization, Elsevier, vol. 62(1), pages 98-119, January.
    10. Tercieux, Olivier, 2006. "p-Best response set," Journal of Economic Theory, Elsevier, vol. 131(1), pages 45-70, November.
    11. Kim, Youngse, 1996. "Equilibrium Selection inn-Person Coordination Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 203-227, August.
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    More about this item

    Keywords

    equilibrium selection; normal form games; pu-dominance; p-dominance.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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