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Conservative belief and rationality

Joseph Halpern () and Rafael Pass

Games and Economic Behavior, 2013, vol. 80, issue C, 186-192

Abstract: Playersʼ beliefs may be incompatible, in the sense that player i can assign probability 1 to an event E to which player j assigns probability 0. One way to block incompatibility is to assume a common prior. We consider here a different approach: we require playersʼ beliefs to be conservative, in the sense that all players must ascribe the actual world positive probability. We show that common conservative belief of rationality (CCBR) characterizes strategies in the support of a subjective correlated equilibrium where all playersʼ beliefs have common support. We also define a notion of strong rationalizability, and show that it is characterized by CCBR.

JEL-codes: C70 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:80:y:2013:i:c:p:186-192

DOI: 10.1016/j.geb.2013.03.004

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