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Structural Consistency, Consistency, and Sequential Rationality

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Author Info
Kreps, David M
Ramey, Garey

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Abstract

Sequential equilibria comprise consistent beliefs and a sequentially ra tional strategy profile. Consistent beliefs are limits of Bayes ratio nal beliefs for sequences of strategies that approach the equilibrium strategy. Beliefs are structurally consistent if they are rationaliz ed by some single conjecture concerning opponents' strategies. Consis tent beliefs are not necessarily structurally consistent, notwithstan ding a claim by Kreps and Robert Wilson (1982). Moreover, the spirit of structural consistency conflicts with that of sequential rationali ty. One avoids these difficulties by weakening structural consistency to allow convex combinations of opponents' strategies, but this intr oduces correlation into the strategies that justify out-of-equilibriu m beliefs. Copyright 1987 by The Econometric Society.

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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 55 (1987)
Issue (Month): 6 (November)
Pages: 1331-48
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Handle: RePEc:ecm:emetrp:v:55:y:1987:i:6:p:1331-48

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  1. George J. Mailath, 1993. "Normal Form Structures in Extensive Form Games," Discussion Papers 1041, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  2. Peter A. Streufert, 2004. "Products of Representations Characterize the Products of Dispersions and the Consistency of Beliefs," Econometric Society 2004 North American Summer Meetings 548, Econometric Society. [Downloadable!]
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