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Dynamically consistent CEU preferences on f-convex events

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  • Lapied, André
  • Toquebeuf, Pascal

Abstract

We give an axiomatic foundation to the updating rule proposed by Sarin and Wakker [Sarin, R., Wakker, P.P., 1998a. Revealed likelihood and knightian uncertainty. Journal of Risk and Uncertainty 16, 223–250] for CEU preferences. This rule is dynamically consistent but non-consequentialist, since forgone consequences are relevant for conditioning. Whereas it does not work universally, but only when counterfactuals outcomes are better and/or worse than the ones resulting on the conditioning event, the rule has many interesting features, since it is able to describe Ellsberg-type preferences together with a recursive structure of the criterion.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 63 (2012)
Issue (Month): 3 ()
Pages: 252-256

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Handle: RePEc:eee:matsoc:v:63:y:2012:i:3:p:252-256

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Web page: http://www.elsevier.com/locate/inca/505565

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  1. Sarin, R. & Wakker, P.P., 1996. "Revealed likelihood and knightian uncertainty," Discussion Paper 1996-59, Tilburg University, Center for Economic Research.
  2. Itzhak Gilboa & David Schmeidler, 1991. "Updating Ambiguous Beliefs," Discussion Papers 924, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
  4. Klibanoff, Peter & Hanany, Eran, 2007. "Updating preferences with multiple priors," Theoretical Economics, Econometric Society, vol. 2(3), September.
  5. Mark J. Machina, 2009. "Risk, Ambiguity, and the Rank-Dependence Axioms," American Economic Review, American Economic Association, vol. 99(1), pages 385-92, March.
  6. Sarin, Rakesh & Wakker, Peter P, 1998. "Dynamic Choice and NonExpected Utility," Journal of Risk and Uncertainty, Springer, vol. 17(2), pages 87-119, November.
  7. Adam Dominiak & Jean-Philippe Lefort, 2011. "Unambiguous events and dynamic Choquet preferences," Economic Theory, Springer, vol. 46(3), pages 401-425, April.
  8. Alexander Zimper, 2011. "Re-examining the law of iterated expectations for Choquet decision makers," Theory and Decision, Springer, vol. 71(4), pages 669-677, October.
  9. Epstein Larry G. & Le Breton Michel, 1993. "Dynamically Consistent Beliefs Must Be Bayesian," Journal of Economic Theory, Elsevier, vol. 61(1), pages 1-22, October.
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  12. Grant, Simon & Eichberger, Jürgen & Kelsey, David, 2004. "CEU Preferences and Dynamic Consistency," Sonderforschungsbereich 504 Publications 04-47, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  13. Dominiak, Adam & Lefort, Jean-Philippe, 2011. "Unambiguous events and dynamic Choquet preferences," Economics Papers from University Paris Dauphine 123456789/7323, Paris Dauphine University.
  14. Paolo Ghirardato, 2002. "Revisiting Savage in a conditional world," Economic Theory, Springer, vol. 20(1), pages 83-92.
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  16. Machina, Mark J, 1989. "Dynamic Consistency and Non-expected Utility Models of Choice under Uncertainty," Journal of Economic Literature, American Economic Association, vol. 27(4), pages 1622-68, December.
  17. Young, Virginia R., 1998. "Families of update rules for non-additive measures: Applications in pricing risks," Insurance: Mathematics and Economics, Elsevier, vol. 23(1), pages 1-14, October.
  18. Alain Chateauneuf & Robert Kast & André Lapied, 2001. "Conditioning Capacities and Choquet Integrals: The Role of Comonotony," Theory and Decision, Springer, vol. 51(2), pages 367-386, December.
  19. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September.
  20. Nobuo Koida, 2012. "Nest-monotonic two-stage acts and exponential probability capacities," Economic Theory, Springer, vol. 50(1), pages 99-124, May.
  21. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
  22. Hanany Eran & Klibanoff Peter, 2009. "Updating Ambiguity Averse Preferences," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-53, November.
  23. Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February.
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Cited by:
  1. Dominiak, Adam, 2013. "Iterated Choquet expectations: A possibility result," Economics Letters, Elsevier, vol. 120(2), pages 155-159.

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