Consistent dynamic choice and non-expected utility preferences
This paper studies the application of the two most popular non-expected utility (NEU) models -Choquet Expected Utility (CEU) and Maximin Expected Utility (CEU)- to dynamic choice situations in a purely subjective framework. We give an appropriate version of the reduction of compound acts axiom, that states the equivalence between a static and a dynamic choice situation. We show that if consequentialism -only those consequences that can be reached do matter- is additionally assumed, then a monotonic constant linear representation degenerate into expected utility. We envisage two different ways to resolve this problem for the cases where the representation is a CEU or a MEU one. One way consists to weaken the reduction of compound acts axiom, which does not hold on all events. Another way is to relax consequentialism. Then we axiomatically characterize an updating rule for both approaches allowing recursion in several cases.
|Date of creation:||13 Sep 2009|
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- Wang, Tan, 2003. "Conditional preferences and updating," Journal of Economic Theory, Elsevier, vol. 108(2), pages 286-321, February.
- Uzi Segal, 2000.
"Two Stage Lotteries Without the Reduction Axiom,"
Levine's Working Paper Archive
7599, David K. Levine.
- Volij, Oscar, 1994. "Dynamic Consistency, Consequentialism and The Reduction of Compound Lotteries," Staff General Research Papers Archive 10569, Iowa State University, Department of Economics.
- Itzhak Gilboa, 1987.
"Expected Utility with Purely Subjective Non-Additive Probabilities,"
- Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
- Adam Dominiak & Jean-Philippe Lefort, 2011.
"Unambiguous events and dynamic Choquet preferences,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(3), pages 401-425, April.
- Dominiak, Adam & Lefort, Jean-Philippe, 2009. "Unambiguous Events and Dynamic Choquet Preferences," Working Papers 0489, University of Heidelberg, Department of Economics.
- Gilboa, Itzhak & Schmeidler, David, 1989.
"Maxmin expected utility with non-unique prior,"
Journal of Mathematical Economics,
Elsevier, vol. 18(2), pages 141-153, April.
- Casadesus-Masanell, Ramon & Klibanoff, Peter & Ozdenoren, Emre, 2000. "Maxmin Expected Utility over Savage Acts with a Set of Priors," Journal of Economic Theory, Elsevier, vol. 92(1), pages 35-65, May.
- Klibanoff, Peter & Hanany, Eran, 2007. "Updating preferences with multiple priors," Theoretical Economics, Econometric Society, vol. 2(3), September.
- 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.
- 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.
- Larry G. Epstein & Martin Schneider, 2001.
RCER Working Papers
485, University of Rochester - Center for Economic Research (RCER).
- Itzhak Gilboa & David Scheidler, 1993.
"Updating Ambiguous Beliefs,"
- Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007.
"Updating Choquet beliefs,"
Journal of Mathematical Economics,
Elsevier, vol. 43(7-8), pages 888-899, September.
- Volij, Oscar, 1994. "Dynamic consistency, consequentialism and reduction of compound lotteries," Economics Letters, Elsevier, vol. 46(2), pages 121-129, October.
- Hammond, P.J. & , ., 1987. "Consequentialist foundations for expected utility," CORE Discussion Papers 1987016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo & Siniscalchi, Marciano, 2001.
"A Subjective Spin on Roulette Wheels,"
1127, California Institute of Technology, Division of the Humanities and Social Sciences.
- 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 1622-1668, December.
- Paolo Ghirardato, 2002. "Revisiting Savage in a conditional world," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 83-92.
- Schmeidler, D. & Karni, E., 1990.
"A Temporal Dynamic Consistency And Expected Utility Theory,"
39-90, Tel Aviv.
- Karni, Edi & Schmeidler, David, 1991. "Atemporal dynamic consistency and expected utility theory," Journal of Economic Theory, Elsevier, vol. 54(2), pages 401-408, August.
- Kreps, David M & Porteus, Evan L, 1978.
"Temporal Resolution of Uncertainty and Dynamic Choice Theory,"
Econometric Society, vol. 46(1), pages 185-200, January.
- David M Kreps & Evan L Porteus, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Levine's Working Paper Archive 625018000000000009, David K. Levine.
- Sarin, Rakesh & Wakker, Peter P, 1998. "Dynamic Choice and NonExpected Utility," Journal of Risk and Uncertainty, Springer, vol. 17(2), pages 87-119, November.
- Ramon Casadesus-Masanell & Peter Klibanoff & Emre Ozdenoren, 1998. "Maximum Expected Utility over Savage Acts with a Set of Priors," Discussion Papers 1218, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February.
- Alain Chateauneuf & Robert Kast & AndrÃ© Lapied, 2001. "Conditioning Capacities and Choquet Integrals: The Role of Comonotony," Theory and Decision, Springer, vol. 51(2), pages 367-386, December.
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