AbstractBest-response sets (Pearce, 1984 ) characterize the epistemic condition of "rationality and common belief of rationality." When rationality incorporates a weak-dominance (admissibility) requirement, the self-admissible set (SAS) concept (Brandenburger, Friedenberg, and Keisler, 2008 ) characterizes "rationality and common assumption of rationality." We analyze the behavior of SAS's in some games of interest--Centipede, the Finitely Repeated Prisoner's Dilemma, and Chain Store. We then establish some general properties of SAS's, including a characterization in perfect-information games.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 145 (2010)
Issue (Month): 2 (March)
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Web page: http://www.elsevier.com/locate/inca/622869
Admissibility Weak dominance Self-admissible sets Iterated admissibility Epistemic game theory Perfect-information games;
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