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.
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- Karni, Edi & Schmeidler, David, 1991.
"Atemporal dynamic consistency and expected utility theory,"
Journal of Economic Theory,
Elsevier, vol. 54(2), pages 401-408, August.
- Schmeidler, D. & Karni, E., 1990. "A Temporal Dynamic Consistency And Expected Utility Theory," Papers 39-90, Tel Aviv.
- Jurgen Eichberger & Simon Grant & David Kelsey, 2006.
"Updating Choquet Beliefs,"
0607, Exeter University, Department of Economics.
- Sarin, Rakesh & Wakker, Peter P, 1998. "Dynamic Choice and NonExpected Utility," Journal of Risk and Uncertainty, Springer, vol. 17(2), pages 87-119, November.
- 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.
- Segal, Uzi, 1990.
"Two-Stage Lotteries without the Reduction Axiom,"
Econometric Society, vol. 58(2), pages 349-77, March.
- Wang, Tan, 2003. "Conditional preferences and updating," Journal of Economic Theory, Elsevier, vol. 108(2), pages 286-321, February.
- Larry G. Epstein & Martin Schneider, 2001.
RCER Working Papers
485, University of Rochester - Center for Economic Research (RCER).
- Volij, Oscar, 1994. "Dynamic Consistency, Consequentialism and The Reduction of Compound Lotteries," Staff General Research Papers 10569, Iowa State University, Department of Economics.
- 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.
- Volij, Oscar, 1994. "Dynamic consistency, consequentialism and reduction of compound lotteries," Economics Letters, Elsevier, vol. 46(2), pages 121-129, October.
- Dominiak, Adam & Lefort, Jean-Philippe, 2009.
"Unambiguous Events and Dynamic Choquet Preferences,"
0489, University of Heidelberg, Department of Economics.
- Adam Dominiak & Jean-Philippe Lefort, 2011. "Unambiguous events and dynamic Choquet preferences," Economic Theory, Springer, vol. 46(3), pages 401-425, April.
- Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci & Marciano Siniscalchi, 2001.
"A subjective spin on roulette wheels,"
ICER Working Papers - Applied Mathematics Series
17-2001, ICER - International Centre for Economic Research, revised Aug 2001.
- 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.
- Itzhak Gilboa & David Schmeidler, 1991.
"Updating Ambiguous Beliefs,"
924, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- David M Kreps & Evan L Porteus, 1978.
"Temporal Resolution of Uncertainty and Dynamic Choice Theory,"
Levine's Working Paper Archive
625018000000000009, David K. Levine.
- 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.
- Hammond, P.J. & , ., 1987. "Consequentialist foundations for expected utility," CORE Discussion Papers 1987016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- 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.
- Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February.
- Paolo Ghirardato, 2002. "Revisiting Savage in a conditional world," Economic Theory, Springer, vol. 20(1), pages 83-92.
- Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
- Klibanoff, Peter & Hanany, Eran, 2007. "Updating preferences with multiple priors," Theoretical Economics, Econometric Society, vol. 2(3), September.
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