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Consistent Dynamice Choice And Non-Expected Utility Preferences

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Author Info
André Lapied () (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - Ecole des Hautes Etudes en Sciences Sociales - CNRS : UMR6579, IDEP - Institut d'Économie Publique - GREQAM)
Pascal Tocquebeuf () (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - Ecole des Hautes Etudes en Sciences Sociales - CNRS : UMR6579)

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Abstract

Pursuing works from Sarin and Wakker (1998), we study how NonExpected Utility models could be consistently applied to multi-stage decision problems. Concerning multiple priors model, we remove the argument that dynamic consistency, consequentialism and model consistency (sequential consistency in Sarin and Wakker (1998)) can all be preserved. Like Choquet expected utility, deviation of expected utility is only allowed over the final stage. Moreover, it’s proved for the two models that if we also assume reduction of compound acts, then an expected utility representation exists in all stages.

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Paper provided by HAL in its series Working Papers with number halshs-00353880_v1.

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Date of creation: 01 Oct 2007
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Handle: RePEc:hal:wpaper:halshs-00353880_v1

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Related research
Keywords: Choquet Expected Utility; Multiple Priors; Sequential Choice; Dynamic Consistency; Consequentialism; Reduction of Compound Acts.;

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  1. Gilboa Itzhak & Schmeidler David, 1993. "Updating Ambiguous Beliefs," Journal of Economic Theory, Elsevier, vol. 59(1), pages 33-49, February. [Downloadable!] (restricted)
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  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. [Downloadable!] (restricted)
  3. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2005. "CEU preferences and dynamic consistency," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 143-151, March. [Downloadable!] (restricted)
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  4. Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci & Marciano Siniscalchi, 2003. "A Subjective Spin on Roulette Wheels," Econometrica, Econometric Society, vol. 71(6), pages 1897-1908, November. [Downloadable!] (restricted)
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  5. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January. [Downloadable!] (restricted)
  6. Kiyohiko G. Nishimura & Hiroyuki Ozaki, 2003. "A Simple Axiomatization of Iterated Choquet Objectives," CIRJE F-Series CIRJE-F-219, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  7. Wang, Tan, 2003. "Conditional preferences and updating," Journal of Economic Theory, Elsevier, vol. 108(2), pages 286-321, February. [Downloadable!] (restricted)
  8. Dominiak, Adam & Lefort, Jean-Philippe, 2009. "Unambiguous Events and Dynamic Choquet Preferences," Working Papers 0489, University of Heidelberg, Department of Economics. [Downloadable!]
  9. Volij, Oscar, 1994. "Dynamic consistency, consequentialism and reduction of compound lotteries," Economics Letters, Elsevier, vol. 46(2), pages 121-129, October. [Downloadable!] (restricted)
  10. Karni, Edi & Schmeidler, David, 1991. "Atemporal dynamic consistency and expected utility theory," Journal of Economic Theory, Elsevier, vol. 54(2), pages 401-408, August. [Downloadable!] (restricted)
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  11. Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February. [Downloadable!] (restricted)
  12. Klibanoff, Peter & Hanany, Eran, 2007. "Updating preferences with multiple priors," Theoretical Economics, Society for Economic Theory, vol. 2(3), pages 261-298, September. [Downloadable!]
  13. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November. [Downloadable!] (restricted)
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  14. Segal, Uzi, 1990. "Two-Stage Lotteries without the Reduction Axiom," Econometrica, Econometric Society, vol. 58(2), pages 349-77, March. [Downloadable!] (restricted)
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  15. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September. [Downloadable!] (restricted)
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