Agreement theorem for neo-additive beliefs
Lefort, Jean-Philippe; Dominiak, Adam (2013), Agreement theorem for neo-additive beliefs, Economic Theory, 52, 1, p. 1-13. 10.1007/s00199-011-0678-7
TypeArticle accepté pour publication ou publié
Journal nameEconomic Theory
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Abstract (EN)In this paper, we extend Aumann’s (Ann Stat 4:1236–1239, 1976) probabilistic agreement theorem to situations in which agents’ prior beliefs are represented by a common neo-additive capacity. In particular, we characterize the family of updating rules for neo-additive capacities, which are necessary and sufficient for the impossibility of “agreeing to disagree” on the values of posterior capacities as well as on the values of posterior Choquet expectations for binary acts. Furthermore, we show that generalizations of this result to more general acts are impossible.
Subjects / KeywordsAgreement theorem; Common knowledge; Asymmetric information; Choquet expected utility; Neo-additive capacities; Ambiguity
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