On the impossibility of preference aggregation under uncertainty
We provide a general theorem on the aggregation of preferences under uncertainty. We study, in the Anscombe-Aumann setting a wide class of preferences that includes most known models of decision under uncertainty (and state-dependent versions of these models). We prove that aggregation is possible and necessarily linear if (society's) preferences are smooth. The latter means that society cannot have a non-neutral attitude towards uncertainty on a subclass of acts. A corollary to our theorem is that it is not possible to aggregate maxmin expected utility maximizers, even when they all have the same set of priors. We show that dropping a weak notion of monotonicity on society's preferences allows one to restore the possibility of aggregation of non-smooth preferences.
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- Charles Blackorby & David Donaldson & Philippe Mongin, 2004. "Social Aggregation Without the Expected Utility Hypothesis," Working Papers hal-00242932, HAL.
- DE MEYER, Bernard & MONGIN , Philippe, 1994.
"A Note on Affine Aggregation,"
CORE Discussion Papers
1994014, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Itzhak Gilboa & Dov Samet & David Schmeidler, 2001.
"Utilitarian Aggregation of Beliefs and Tastes,"
Game Theory and Information
- Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
- John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309.
- Mongin, P., .
"Consistent Bayesian aggregation,"
CORE Discussion Papers RP
-1176, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Massimo Marinacci & Paolo Ghirardato, 2001.
"Risk, ambiguity, and the separation of utility and beliefs,"
ICER Working Papers - Applied Mathematics Series
21-2001, ICER - International Centre for Economic Research.
- Paolo Ghirardato & Massimo Marinacci, 2000. "Risk, Ambiguity, and the Separation of Utility and Beliefs," Levine's Working Paper Archive 7616, David K. Levine.
- Paolo Ghirardato & Massimo Marinacci, 2000. "Risk, Ambiguity and the Separation of Utility and Beliefs," Econometric Society World Congress 2000 Contributed Papers 1143, Econometric Society.
- Ghirardato, Paolo & Marinacci, Massimo, 2000. "Risk, Ambigity and the Separation of Utility and Beliefs," Working Papers 1085, California Institute of Technology, Division of the Humanities and Social Sciences.
- 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.
- David Schmeidler, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Levine's Working Paper Archive
7662, David K. Levine.
- Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
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