The Paradox of the Bayesian Experts and State-Dependent Utility Theory
AbstractWhen n individuals satisfy the axioms of subjective expected utility (SEU) theory and these individuals' probabilities or/and utilities are sufficiently diverse, it is impossible to aggregate the individuals' preferences into a (n + 1)-preference which is both Paretian and in agreement with SEU theory. The paper restates this paradox in the framework of Anscombe and Aumann's axiomatization of SEU and investigates the consequences of relaxing their state-independence assumption. The paradox disappears from the pure state-dependent framework but reappears in a different form in a sophisticated variant of state-dependent utility theory which achieves the uniqueness of subjective probabilities. The paper compares this novel impossibility result with the earlier one. It concludes by discussing the foundations of the Pareto principle in both the ex ante and ex post versions.
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Bibliographic InfoPaper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 1996026.
Date of creation: 01 Jun 1996
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Bayesiaoism; State-Dependent Utility; Pareto Principle;
Other versions of this item:
- Mongin, Philippe, 1998. "The paradox of the Bayesian experts and state-dependent utility theory," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 331-361, April.
- P. Mongin., 1997. "The paradox of the Bayesian experts and state-dependent utility theory," THEMA Working Papers 97-15, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- D60 - Microeconomics - - Welfare Economics - - - General
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
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- ZHOU, Lin, 1996. "Bayesian Utilitarianism," CORE Discussion Papers 1996011, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Karni, E. & Schmeidler, D., 1991.
"On the Uniqueness of Subjective Probabilities,"
1-92, Tel Aviv - the Sackler Institute of Economic Studies.
- Karni, Edi, 1993. "A Definition of Subjective Probabilities with State-Dependent Preferences," Econometrica, Econometric Society, vol. 61(1), pages 187-98, January.
- Broome, John, 1990. "Bolker-Jeffrey Expected Utility Theory and Axiomatic Utilitarianism," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 477-502, July.
- MONGIN, Philippe, 1993.
"Consistent Bayesian Aggregation,"
CORE Discussion Papers
1993019, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Mark J. Schervish & Teddy Seidenfeld & Joseph B. Kadane, 1991. "Shared Preferences and State-Dependent Utilities," Management Science, INFORMS, vol. 37(12), pages 1575-1589, December.
- F J Anscombe & R J Aumann, 2000. "A Definition of Subjective Probability," Levine's Working Paper Archive 7591, David K. Levine.
- De Meyer, Bernard & Mongin, Philippe, 1995.
"A note on affine aggregation,"
Elsevier, vol. 47(2), pages 177-183, February.
- Hammond, Peter J, 1981. "Ex-ante and Ex-post Welfare Optimality under Uncertainty," Economica, London School of Economics and Political Science, vol. 48(191), pages 235-50, August.
- repec:fth:louvco:9611 is not listed on IDEAS
- BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2003.
"Harsanyi's Social Aggregation Theorem : A Multi-Profile Approach with Variable-Population Extensions,"
Cahiers de recherche
03-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2003. "Harsanyi’s Social Aggregation Theorem : A Multi-Profile Approach with Variable-Population Extensions," Cahiers de recherche 2003-05, Universite de Montreal, Departement de sciences economiques.
- Nascimento, Leandro, 2012. "The ex-ante aggregation of opinions under uncertainty," Theoretical Economics, Econometric Society, vol. 7(3), September.
- Itzhak Gilboa & Dov Samet & David Schmeidler, 2004.
"Utilitarian Aggregation of Beliefs and Tastes,"
Journal of Political Economy,
University of Chicago Press, vol. 112(4), pages 932-938, August.
- Marshall, Roger & Huan, Tzung-Cheng (T.C.) & Xu, Yingzi & Nam, Inwoo, 2011. "Extending prospect theory cross-culturally by examining switching behavior in consumer and business-to-business contexts," Journal of Business Research, Elsevier, vol. 64(8), pages 871-878, August.
- Nehring, Klaus, 2007. "The impossibility of a Paretian rational: A Bayesian perspective," Economics Letters, Elsevier, vol. 96(1), pages 45-50, July.
- Nehring, Klaus, 2004. "The veil of public ignorance," Journal of Economic Theory, Elsevier, vol. 119(2), pages 247-270, December.
- Thibault Gajdos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2008.
"Representation and aggregation of preferences under uncertainty,"
UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers)
- Gajdos, T. & Tallon, J.-M. & Vergnaud, J.-C., 2008. "Representation and aggregation of preferences under uncertainty," Journal of Economic Theory, Elsevier, vol. 141(1), pages 68-99, July.
- Ralph Keeney & Robert Nau, 2011. "A theorem for Bayesian group decisions," Journal of Risk and Uncertainty, Springer, vol. 43(1), pages 1-17, August.
- Chambers, Christopher P. & Hayashi, Takashi, 2006.
"Preference aggregation under uncertainty: Savage vs. Pareto,"
Games and Economic Behavior,
Elsevier, vol. 54(2), pages 430-440, February.
- Chambers, Christopher & Takashi Hayashi, 2003. "Preference Aggregation under Uncertainty: Savage vs. Pareto," Working Papers 1184, California Institute of Technology, Division of the Humanities and Social Sciences.
- repec:hal:journl:halshs-00266049 is not listed on IDEAS
- Peter J. Hammond, 1997. "Subjectively Expected State-Independent Utility on State-Dependent Consequence Domains," Working Papers 97024, Stanford University, Department of Economics.
- Mongin, Philippe & Pivato, Marcus, 2012. "Ranking Multidimensional Alternatives and Uncertain Prospects," MPRA Paper 42515, University Library of Munich, Germany.
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