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). Agreement and disagreement are studied under models of belief in three broad settings: non-probabilistic decision models, probabilistic belief revision of priors, and dynamic communication among players. 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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- Morris, Stephen, 1996. "The Logic of Belief and Belief Change: A Decision Theoretic Approach," Journal of Economic Theory, Elsevier, vol. 69(1), pages 1-23, April.
- Dov Samet, 2008. "The sure-thing principle and independence of irrelevant knowledge," Levine's Working Paper Archive 122247000000002297, David K. Levine.
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Game Theory and Information
9703009, EconWPA, revised 23 Apr 1997.
- Dov Samet, 2006.
"Agreeing to disagree: The non-probabilistic case,"
321307000000000536, UCLA Department of Economics.
- Giacomo Bonanno & Klaus Nehring, 1999. "How to make sense of the common prior assumption under incomplete information," International Journal of Game Theory, Springer, vol. 28(3), pages 409-434.
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