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Deludedly Agreeing to Agree

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  • Ziv Hellman

Abstract

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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Bibliographic Info

Paper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp605.

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Length: 30 pages
Date of creation: Apr 2012
Date of revision:
Handle: RePEc:huj:dispap:dp605

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  1. Sergiu Hart & Yair Tauman, 1997. "Market Crashes Without External Shocks," Game Theory and Information 9703009, EconWPA, revised 23 Apr 1997.
  2. 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.
  3. 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.
  4. Dov Samet, 2006. "Agreeing to disagree: The non-probabilistic case," Levine's Bibliography 321307000000000536, UCLA Department of Economics.
  5. 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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