Agreeing to agree

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Deludedly Agreeing to Agree

We study conditions relating to the impossibility of agreeing to disagree in models of interactive KD45 belief (in contrast to models of S5 knowledge, which are used in nearly all the agreements literature). We show that even when the truth axiom is not assumed it turns out that players will find it impossible to agree to disagree under fairly broad conditions.

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Agreeing to agree

Aumann (1976) shows that agents who have a common prior cannot have common knowledge of their posteriors for event E if these posteriors do not coincide. But given an event E, can the agents have posteriors with a common prior such that it is common knowledge that the posteriors for E do coincide? We show that a necessary and sufficient condition for this is the existence of a nonempty finite e...

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*We would like to thank Bengt Holmstrom, Jozsef Sakovics, and Jonathan Thomas for helpful conversations. We acknowledge financial support from the U.S. National Science Foundation through the National Bureau of Economic Research; the Leverhulme Trust; and the U.K. Economic and Social Research Council. This paper was written while the first author was on sabbatical at the London School of Econom...

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ژورنال

عنوان ژورنال: Theoretical Economics

سال: 2011

ISSN: 1933-6837

DOI: 10.3982/te578