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CEU preferences and dynamic consistency

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  • Eichberger, Jurgen
  • Grant, Simon
  • Kelsey, David

Abstract

This paper investigates the dynamic consistency of CEU preferences. A decision maker is faced with an information structure represented by a fixed filtration. If beliefs are represented by a convex capacity, we show that a necessary and sufficient condition for dynamic consistency is that beliefs be additive over the final stage in the filtration.

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File URL: http://www.sciencedirect.com/science/article/B6V88-4DFK9MS-1/2/649a25949bfee99bae2a8a1c67fca160
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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 49 (2005)
Issue (Month): 2 (March)
Pages: 143-151

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Handle: RePEc:eee:matsoc:v:49:y:2005:i:2:p:143-151

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

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References

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  1. 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.
  2. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  3. Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February.
  4. Kelsey, D. & Milne, F., 1996. "Induced Preferences, Non Additive Probabilities and Multiple Priors," Discussion Papers 96-15, Department of Economics, University of Birmingham.
  5. Eichberger, J. & Kelsey, D., 1993. "Uncertainty Aversion and Dynamic Consistency," Discussion Papers 93-08, Department of Economics, University of Birmingham.
  6. Epstein, Larry G, 1999. "A Definition of Uncertainty Aversion," Review of Economic Studies, Wiley Blackwell, vol. 66(3), pages 579-608, July.
  7. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
  8. Itzhak Gilboa & David Schmeidler, 1991. "Updating Ambiguous Beliefs," Discussion Papers 924, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Simon Grant & Atsushi Kajii & Ben Polak, 2000. "Temporal Resolution of Uncertainty and Recursive Non-Expected Utility Models," Econometrica, Econometric Society, vol. 68(2), pages 425-434, March.
  10. Cesaltina Pacheco Pires, 2002. "A Rule For Updating Ambiguous Beliefs," Theory and Decision, Springer, vol. 53(2), pages 137-152, September.
  11. George Wu, 1999. "Anxiety and Decision Making with Delayed Resolution of Uncertainty," Theory and Decision, Springer, vol. 46(2), pages 159-199, April.
  12. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
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Citations

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Cited by:
  1. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2006. "Recursive Smooth Ambiguity Preferences," Carlo Alberto Notebooks 17, Collegio Carlo Alberto, revised 2008.
  2. Roorda, Berend & Schumacher, J.M., 2007. "Time consistency conditions for acceptability measures, with an application to Tail Value at Risk," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 209-230, March.
  3. André Lapied & Robert Kast, 2005. "Updating Choquet valuation and discounting information arrivals," Working Papers 05-09, LAMETA, Universtiy of Montpellier, revised Jan 2005.
  4. Jurgen Eichberger & Simon Grant & David Kelsey, 2006. "Updating Choquet Beliefs," Discussion Papers 0607, Exeter University, Department of Economics.
  5. Dominiak, Adam & Duersch, Peter & Lefort, Jean-Philippe, 2012. "A dynamic Ellsberg urn experiment," Games and Economic Behavior, Elsevier, vol. 75(2), pages 625-638.
  6. Dominiak, Adam, 2013. "Iterated Choquet expectations: A possibility result," Economics Letters, Elsevier, vol. 120(2), pages 155-159.
  7. Adam Dominiak & Jean-Philippe Lefort, 2013. "Agreement theorem for neo-additive beliefs," Economic Theory, Springer, vol. 52(1), pages 1-13, January.
  8. Eichberger, Jürgen & Grant, Simon & Lefort, Jean-Philippe, 2008. "Neo-additive capacities and updating," Sonderforschungsbereich 504 Publications 08-31, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  9. Dominiak, Adam & Lefort, Jean-Philippe, 2011. "Unambiguous events and dynamic Choquet preferences," Economics Papers from University Paris Dauphine 123456789/7323, Paris Dauphine University.
  10. Jürgen Eichberger & Simon Grant & David Kelsey, 2012. "When is ambiguity–attitude constant?," Journal of Risk and Uncertainty, Springer, vol. 45(3), pages 239-263, December.
  11. Lapied, André & Toquebeuf, Pascal, 2012. "Dynamically consistent CEU preferences on f-convex events," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 252-256.
  12. Dominiak, Adam & Lefort, Jean-Philippe, 2009. "Unambiguous Events and Dynamic Choquet Preferences," Working Papers 0489, University of Heidelberg, Department of Economics.
  13. André Lapied & Pascal Toquebeuf, 2009. "Consistent dynamic choice and non-expected utility preferences," Working Papers hal-00416214, HAL.
  14. Eichberger, Jürgen & Grant, Simon & Lefort, Jean-Philippe, 2012. "Generalized neo-additive capacities and updating," Economics Papers from University Paris Dauphine 123456789/7332, Paris Dauphine University.
  15. J. Ford & D. Kelsey & W. Pang, 2013. "Information and ambiguity: herd and contrarian behaviour in financial markets," Theory and Decision, Springer, vol. 75(1), pages 1-15, July.

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