Bayesian social aggregation with almost-objective uncertainty
Tchouante Ngamo Elise Flore  1, 2, *@  , Marcus Pivato  1, 2, *@  
1 : Théorie économique, modélisation et applications  (THEMA)  -  Website
Centre National de la Recherche Scientifique : UMR8184, CY Cergy Paris Université
33, boulevard du Port 95011 Cergy-Pontoise Cedex -  France
2 : CY Cergy Paris Université  (CY)  -  Website
CY Cergy Paris Université
33 boulevard du port, 95015 Cergy-Pontoise Cedex -  France
* : Corresponding author

We consider collective decisions under uncertainty, in which different agents may
have not only different beliefs, but also different ambiguity attitudes --in particular,
they may or may not be subjective expected utility maximizers. We assume that
the space of possible states of nature is a Polish space. We consider sequences of
acts which are "almost-objectively uncertain" in the sense that asymptotically, all
agents almost-agree about the probabilities of the underlying events. We impose a
weak ex ante Pareto axiom which applies only to asymptotic preferences along such
almost-objective sequences. We show that this axiom implies that the social welfare
function is utilitarian (i.e. a weighted sum of individual utility functions). But it
does not impose any relationship between individual and collective beliefs, or between
individual and collective ambiguity attitudes.


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