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Agreement theorem for neo-additive beliefs

  • Adam Dominiak

    ()

  • Jean-Philippe Lefort

    ()

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    In this paper, we extend Aumann’s (Ann Stat 4:1236–1239, 1976 ) probabilistic agreement theorem to situations in which agents’ prior beliefs are represented by a common neo-additive capacity. In particular, we characterize the family of updating rules for neo-additive capacities, which are necessary and sufficient for the impossibility of “agreeing to disagree” on the values of posterior capacities as well as on the values of posterior Choquet expectations for binary acts. Furthermore, we show that generalizations of this result to more general acts are impossible. Copyright Springer-Verlag 2013

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    File URL: http://hdl.handle.net/10.1007/s00199-011-0678-7
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    Article provided by Springer in its journal Economic Theory.

    Volume (Year): 52 (2013)
    Issue (Month): 1 (January)
    Pages: 1-13

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    Handle: RePEc:spr:joecth:v:52:y:2013:i:1:p:1-13
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    1. Eichberger, Jürgen & Grant, Simon & Kelsey, David, 2010. "Comparing three ways to update Choquet beliefs," Economics Letters, Elsevier, vol. 107(2), pages 91-94, May.
    2. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
    3. Kim Border & Paolo Ghirardato & Uzi Segal, 2008. "Unanimous subjective probabilities," Economic Theory, Springer, vol. 34(2), pages 383-387, February.
    4. Jürgen Eichberger & Simon Grant & David Kelsey, 2008. "Differentiating ambiguity: an expository note," Economic Theory, Springer, vol. 36(2), pages 327-336, August.
    5. Burkhard C. Schipper & David Kelsey, 2005. "Ambiguity and Social Interaction," Working Papers 536, University of California, Davis, Department of Economics.
    6. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    7. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    8. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September.
    9. Paolo Ghirardato, 2002. "Revisiting Savage in a conditional world," Economic Theory, Springer, vol. 20(1), pages 83-92.
    10. Jack Stecher & Radhika Lunawat & Kira Pronin & John Dickhaut, 2007. "Decision Making and Trade without Probabilities," CIRANO Working Papers 2007s-21, CIRANO.
    11. Jürgen Eichberger & David Kelsey, 2008. "Are the Treasures of Game Theory Ambiguous?," Working Papers 0469, University of Heidelberg, Department of Economics, revised Jul 2008.
    12. Samet, Dov, 1998. "Common Priors and Separation of Convex Sets," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 172-174, July.
    13. Feinberg, Yossi, 2000. "Characterizing Common Priors in the Form of Posteriors," Journal of Economic Theory, Elsevier, vol. 91(2), pages 127-179, April.
    14. Itzhak Gilboa & David Schmeidler, 1991. "Updating Ambiguous Beliefs," Discussion Papers 924, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    15. Klaus Nehring, 2001. "Common priors under incomplete information: a unification," Economic Theory, Springer, vol. 18(3), pages 535-553.
    16. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2005. "CEU preferences and dynamic consistency," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 143-151, March.
    17. Paul Milgrom & Nancy L.Stokey, 1979. "Information, Trade, and Common Knowledge," Discussion Papers 377R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    18. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2002. "A smooth model of decision making under ambiguity," ICER Working Papers - Applied Mathematics Series 11-2003, ICER - International Centre for Economic Research, revised Apr 2003.
    19. Zimper, Alexander, 2009. "Half empty, half full and why we can agree to disagree forever," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 283-299, August.
    20. Jurgen Eichberger & Simon Grant & David Kelsey & Gleb A. Koshevoy, 2009. "The a-MEU Model: A Comment," Discussion Papers 0903, Exeter University, Department of Economics.
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