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Second-order ambiguous beliefs

  • Leandro Nascimento

    ()

  • Gil Riella

    ()

This paper axiomatizes models of second-order ambiguous beliefs in the original domain of preferences of Anscombe and Aumann (Ann Math Stat 34:199–205, 1963 ) by weakening the first-stage independence postulate. The models we propose include the second-order subjective expected utility (SOSEU) of Seo (Econometrica 77:1575–1605, 2009 ) as a particular case. We characterize the intersection of our models of second-order ambiguity with the canonical models of (first-order) ambiguity aversion and provide a further generalization of SOSEU by relaxing the completeness axiom. Copyright Springer-Verlag 2013

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File URL: http://hdl.handle.net/10.1007/s00199-011-0675-x
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Article provided by Springer in its journal Economic Theory.

Volume (Year): 52 (2013)
Issue (Month): 3 (April)
Pages: 1005-1037

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Handle: RePEc:spr:joecth:v:52:y:2013:i:3:p:1005-1037
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  1. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
  2. Segal, Uzi, 1987. "The Ellsberg Paradox and Risk Aversion: An Anticipated Utility Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 175-202, February.
  3. 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.
  4. Ok, Efe A., 2002. "Utility Representation of an Incomplete Preference Relation," Journal of Economic Theory, Elsevier, vol. 104(2), pages 429-449, June.
  5. Adam Dominiak & Wendelin Schnedler, 2011. "Attitudes toward uncertainty and randomization: an experimental study," Economic Theory, Springer, vol. 48(2), pages 289-312, October.
  6. Nascimento, Leandro & Riella, Gil, 2010. "On the uses of the monotonicity and independence axioms in models of ambiguity aversion," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 326-329, May.
  7. Kyoungwon Seo, 2009. "Ambiguity and Second-Order Belief," Econometrica, Econometric Society, vol. 77(5), pages 1575-1605, 09.
  8. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  9. Sujoy Mukerji & Peter Klibanoff & Massimo Marinacci, 2011. "Definitions of Ambiguous Events and the Smooth Ambiguity Model," Economics Series Working Papers 525, University of Oxford, Department of Economics.
  10. Chateauneuf, Alain, 1991. "On the use of capacities in modeling uncertainty aversion and risk aversion," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 343-369.
  11. Uzi Segal, 2000. "Two Stage Lotteries Without the Reduction Axiom," Levine's Working Paper Archive 7599, David K. Levine.
  12. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
  13. Grandmont, Jean-Michel, 1972. "Continuity properties of a von Neumann-Morgenstern utility," Journal of Economic Theory, Elsevier, vol. 4(1), pages 45-57, February.
  14. Fabio Maccheroni, 2002. "Maxmin under risk," Economic Theory, Springer, vol. 19(4), pages 823-831.
  15. Larry G. Epstein, 2010. "A Paradox for the “Smooth Ambiguity” Model of Preference," Econometrica, Econometric Society, vol. 78(6), pages 2085-2099, November.
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