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Uncertainty Aversion

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  • Larry Epstein

Abstract

A definition of uncertainty or ambiguity aversion is proposed. It is argued that the definition is well-suited to modelling within the Savage (as opposed to Anscombe and Aumann) domain of acts. The defined property of uncertainty aversion has intuitive empirical content, behaves well in specific models of preference (multiple-priors and Choquet expected utility) and is tractable. Tractability is established through use of a nonstandard notion of differentiability for utility functions, called eventwise differentiability.

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File URL: http://www.economics.utoronto.ca/public/workingPapers/UT-ECIPA-EPSTEIN-97-01.ps
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File URL: http://www.economics.utoronto.ca/public/workingPapers/UT-ECIPA-EPSTEIN-97-01.pdf
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Bibliographic Info

Paper provided by University of Toronto, Department of Economics in its series Working Papers with number epstein-97-01.

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Length: 48 pages
Date of creation: 09 Jul 1997
Date of revision:
Handle: RePEc:tor:tecipa:epstein-97-01

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References

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  1. Sarin, Rakesh K & Wakker, Peter, 1992. "A Simple Axiomatization of Nonadditive Expected Utility," Econometrica, Econometric Society, vol. 60(6), pages 1255-72, November.
  2. Mark J. Machina & David Schmeidler, 1990. "A More Robust Definition of Subjective Probability," Discussion Paper Serie A 306, University of Bonn, Germany.
  3. Eichberger, Jurgen & Kelsey, David, 1996. "Uncertainty Aversion and Preference for Randomisation," Journal of Economic Theory, Elsevier, vol. 71(1), pages 31-43, October.
  4. F J Anscombe & R J Aumann, 2000. "A Definition of Subjective Probability," Levine's Working Paper Archive 7591, David K. Levine.
  5. Karni, Edi, 1983. "Risk Aversion for State-Dependent Utility Functions: Measurement and Applications," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 637-47, October.
  6. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June.
  7. Mark J Machina, 1982. ""Expected Utility" Analysis without the Independence Axiom," Levine's Working Paper Archive 7650, David K. Levine.
  8. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
  9. Yaari, Menahem E., 1969. "Some remarks on measures of risk aversion and on their uses," Journal of Economic Theory, Elsevier, vol. 1(3), pages 315-329, October.
  10. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
  11. Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987. "Risk aversion in the theory of expected utility with rank dependent probabilities," Journal of Economic Theory, Elsevier, vol. 42(2), pages 370-381, August.
  12. Hong Chew Soo & Hui Mao Mei, 1995. "A Schur Concave Characterization of Risk Aversion for Non-expected Utility Preferences," Journal of Economic Theory, Elsevier, vol. 67(2), pages 402-435, December.
  13. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  14. Epstein Larry G. & Wang Tan, 1995. "Uncertainty, Risk-Neutral Measures and Security Price Booms and Crashes," Journal of Economic Theory, Elsevier, vol. 67(1), pages 40-82, October.
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Citations

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Cited by:
  1. Massimo Marinacci, 2001. "Probabilistic sophistication and multiple priors," ICER Working Papers - Applied Mathematics Series 08-2001, ICER - International Centre for Economic Research.
  2. Alain Chateauneuf & Jean-Marc Tallon, 2000. "Diversification, Convex Preferences and Non-Empty Core," Econometric Society World Congress 2000 Contributed Papers 0751, Econometric Society.
  3. Vincent Feltkamp & Yoram Halevy, 1999. "- A Bayesian Approach To Uncertainty Aversion," Working Papers. Serie AD 1999-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

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