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Agreeing to Disagree with Conditional Probability Systems

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Article
Author/s: 
Elias Tsakas
The B.E. Journal of Theoretical Economics
Issue number: 
Volume 18, Issue 2
Publisher: 
De Gruyter
Year: 
2018
In this note, we extend Aumann’s agreement theorem to a framework where beliefs are modelled by conditional probability systems à la Battigalli, P., and M. Siniscalchi. 1999. “Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games.” Journal of Economic Theory 88: 188–230. We prove two independent generalizations of the agreement theorem, one where the agents share some common conditioning event, and one where they may not.
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