Self-admissible sets

Adam Brandenburger and Amanda Friedenberg

Journal of Economic Theory, 2010, vol. 145, issue 2, 785-811

Abstract: Best-response sets (Pearce, 1984 [28]) 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 [17]) 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.

Keywords: Admissibility; Weak; dominance; Self-admissible; sets; Iterated; admissibility; Epistemic; game; theory; Perfect-information; games (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:145:y:2010:i:2:p:785-811

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