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Agreeing to disagree: The non-probabilistic case

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  • Samet, Dov

Abstract

A non-probabilistic generalization of Aumann's agreement theorem is proved. Early attempts at such a theorem were based on a version of the sure-thing principle which assumes an intrapersonal-interstate comparison of knowledge. But such comparisons are impossible in partition structures. The theorem proved here is based on a new version of the sure-thing principle that makes an interpersonal-intrastate comparison of knowledge.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 69 (2010)
Issue (Month): 1 (May)
Pages: 169-174

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Handle: RePEc:eee:gamebe:v:69:y:2010:i:1:p:169-174

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Web page: http://www.elsevier.com/locate/inca/622836

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  1. Robert J. Aumann, 1999. "Interactive epistemology I: Knowledge," International Journal of Game Theory, Springer, vol. 28(3), pages 263-300.
  2. Robert J. Aumann & Sergiu Hart & Motty Perry, 2005. "Conditioning and the Sure-Thing Principle," Levine's Bibliography 784828000000000193, UCLA Department of Economics.
  3. Cave, Jonathan A. K., 1983. "Learning to agree," Economics Letters, Elsevier, vol. 12(2), pages 147-152.
  4. Bacharach, Michael, 1985. "Some extensions of a claim of Aumann in an axiomatic model of knowledge," Journal of Economic Theory, Elsevier, vol. 37(1), pages 167-190, October.
  5. Klaus Nehring & Giacomo Bonanno, 2003. "Agreeing To Disagree: A Survey," Working Papers 9718, University of California, Davis, Department of Economics.
  6. Klaus Nehring, 2003. "Common Priors For Like-Minded Agents," Economics Working Papers 0035, Institute for Advanced Study, School of Social Science.
  7. Robert J Aumann, 1999. "Agreeing to Disagree," Levine's Working Paper Archive 512, David K. Levine.
  8. Robert J. Aumann, 1999. "Interactive epistemology II: Probability," International Journal of Game Theory, Springer, vol. 28(3), pages 301-314.
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Cited by:
  1. Johan Van Benthem & Eric Pacuit & Olivier Roy, 2011. "Toward a Theory of Play: A Logical Perspective on Games and Interaction," Games, MDPI, Open Access Journal, vol. 2(1), pages 52-86, February.
  2. Ziv Hellman, 2012. "Deludedly Agreeing to Agree," Discussion Paper Series dp605, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  3. Tarbush, Bassel, 2011. "Agreeing to disagree with generalised decision functions," MPRA Paper 29066, University Library of Munich, Germany.
  4. Lefort, Jean-Philippe & Dominiak, Adam, 2011. ""Agreeing to Disagree" Type Results under Ambiguity," Economics Papers from University Paris Dauphine 123456789/8575, Paris Dauphine University.
  5. Tsakas, Elias & Voorneveld, Mark, 2007. "Efficient communication, common knowledge, and consensus," Working Papers in Economics 255, University of Gothenburg, Department of Economics.
  6. Tarbush, Bassel, 2011. "Generalisation of Samet's (2010) agreement theorem," MPRA Paper 29067, University Library of Munich, Germany.

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