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Second-order ambiguous beliefs

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  • Leandro Nascimento

    ()

  • Gil Riella

    ()

Abstract

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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Bibliographic Info

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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Related research

Keywords: Ambiguity; Second-order beliefs; Incomplete preferences; D81;

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References

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  1. Kyoungwon Seo, 2009. "Ambiguity and Second-Order Belief," Econometrica, Econometric Society, vol. 77(5), pages 1575-1605, 09.
  2. 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.
  3. Uzi Segal, 2000. "Two Stage Lotteries Without the Reduction Axiom," Levine's Working Paper Archive 7599, David K. Levine.
  4. Sujoy Mukerji & Peter Klibanoff, 2002. "A Smooth Model of Decision,Making Under Ambiguity," Economics Series Working Papers 113, University of Oxford, Department of Economics.
  5. repec:hal:cesptp:halshs-00102346 is not listed on IDEAS
  6. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2004. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Carlo Alberto Notebooks 12, Collegio Carlo Alberto, revised 2006.
  7. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
  8. Grandmont, Jean-Michel, 1972. "Continuity properties of a von Neumann-Morgenstern utility," Journal of Economic Theory, Elsevier, vol. 4(1), pages 45-57, February.
  9. Larry G. Epstein, 2010. "A Paradox for the “Smooth Ambiguity” Model of Preference," Econometrica, Econometric Society, vol. 78(6), pages 2085-2099, November.
  10. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2011. "Definitions of ambiguous events and the smooth ambiguity model," Economic Theory, Springer, vol. 48(2), pages 399-424, October.
  11. Ok, Efe A., 2002. "Utility Representation of an Incomplete Preference Relation," Journal of Economic Theory, Elsevier, vol. 104(2), pages 429-449, June.
  12. 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.
  13. Fabio Maccheroni, 2002. "Maxmin under risk," Economic Theory, Springer, vol. 19(4), pages 823-831.
  14. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  15. 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.
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Cited by:
  1. Giraud, Raphaël, 0. "Second order beliefs models of choice under imprecise risk: non-additive second order beliefs vs. nonlinear second order utility," Theoretical Economics, Econometric Society.
  2. Hideki Iwaki & Yusuke Osaki, 2014. "The dual theory of the smooth ambiguity model," Economic Theory, Springer, vol. 56(2), pages 275-289, June.

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