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.
|Date of creation:||Feb 2005|
|Date of revision:|
|Publication status:||Published in Cahiers de la Maison des Sciences Economiques 2005.12 - ISSN : 1624-0340. 2005|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00193578|
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