An Impossibility Theorem on Beliefs in Games

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Studia Logica 84 (2):211-240 (2006)
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Abstract

A paradox of self-reference in beliefs in games is identified, which yields a game-theoretic impossibility theorem akin to Russell’s Paradox. An informal version of the paradox is that the following configuration of beliefs is impossible:Ann believes that Bob assumes that.

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10.1007/s11225-006-9011-z

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Citations of this work

Paradoxes and contemporary logic.Andrea Cantini - 2008 - Stanford Encyclopedia of Philosophy.
Belief revision in a temporal framework.Giacomo Bonanno - 2008 - In Krzysztof Apt & Robert van Rooij (eds.), New Perspectives on Games and Interaction. Amsterdam University Press.
Superrational types.Fernando A. Tohmé & Ignacio D. Viglizzo - 2019 - Logic Journal of the IGPL 27 (6):847-864.

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References found in this work

The modal logic of `all and only'.I. L. Humberstone - 1987 - Notre Dame Journal of Formal Logic 28 (2):177-188.
A quantitative analysis of modal logic.Ronald Fagin - 1994 - Journal of Symbolic Logic 59 (1):209-252.

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