Agreement theorem for neo-additive beliefs
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...
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| Veröffentlicht in: | Economic theory 2013-01, Vol.52 (1), p.1-13 |
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| container_title | Economic theory |
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| creator | Dominiak, Adam Lefort, Jean-Philippe |
| description | 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. |
| doi_str_mv | 10.1007/s00199-011-0678-7 |
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| ispartof | Economic theory, 2013-01, Vol.52 (1), p.1-13 |
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| language | eng |
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| source | EBSCOhost Business Source Complete; JSTOR Archive Collection A-Z Listing; SpringerLink Journals - AutoHoldings |
| subjects | Agreements Ambiguity Analysis Asymmetric information Asymmetry Attitudes Beliefs Betting Decision theory Distribution (Probability theory) Economic theory Economic Theory/Quantitative Economics/Mathematical Methods Economics Economics and Finance Equilibrium Expected utility Family Game Theory Information asymmetry Mathematical functions Mathematical theorems Microeconomics Probability Probability distribution Psychological attitudes Public Finance Quantitative Finance Research Article Social and Behav. Sciences Studies Uncertainty Updating Utility functions |
| title | Agreement theorem for neo-additive beliefs |
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