Agreeing to Disagree with Conditional Probability Systems
Tsakas Elias ()
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Tsakas Elias: Department of Economics (AE1), Maastricht University, P.O. Box 616, 6200 MD, Maastricht, The Netherlands
The B.E. Journal of Theoretical Economics, 2018, vol. 18, issue 2, 7
Abstract:
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.
Keywords: Agreement; posterior beliefs; conditional probability systems; conditioning events (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1515/bejte-2016-0182
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