Aggregation of multiple prior opinions - Sciences Po Access content directly
Journal Articles Journal of Economic Theory Year : 2011

Aggregation of multiple prior opinions

Abstract

Experts are asked to provide their advice in a situation of uncertainty. They adopt the decision maker's utility function, but each has a potentially different set of prior probabilities, and so does the decision maker. The decision maker and the experts maximize the minimal expected utility with respect to their sets of priors. We show that a natural Pareto condition is equivalent to the existence of a set Λ of probability vectors over the experts, interpreted as possible allocations of weights to the experts, such that (i) the decision maker's set of priors is precisely all the weighted-averages of priors, where an expert's prior is taken from her set and the weight vector is taken from Λ; (ii) the decision maker's valuation of an act is the minimal weighted valuation, over all weight vectors in Λ, of the experts' valuations.
Fichier principal
Vignette du fichier
111cres-giloboa-vieille.pdf (336.47 Ko) Télécharger le fichier
Origin : Explicit agreement for this submission
Loading...

Dates and versions

hal-01024224 , version 1 (15-07-2014)

Licence

Attribution - NonCommercial - NoDerivatives

Identifiers

Cite

Hervé Crès, Itzhak Gilboa,, Nicolas Vieille. Aggregation of multiple prior opinions. Journal of Economic Theory, 2011, 146 (6), pp.2563-2582. ⟨10.1016/j.jet.2011.06.018⟩. ⟨hal-01024224⟩
269 View
309 Download

Altmetric

Share

Gmail Facebook X LinkedIn More