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Agreement theorem for neo-additive beliefs created by Adam Dominiak and Jean-Philippe Lefort

By: Contributor(s): Material type: TextTextSeries: Economic theory ; Volume 52, number 1,Berlin: Springer, 2013Content type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISSN:
  • 09382259
Subject(s): LOC classification:
  • HB119 ECO
Online resources: Abstract: 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.
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Item type Current library Call number Vol info Copy number Status Notes Date due Barcode
Journal Article Journal Article Main Library - Special Collections HB119 ECO (Browse shelf(Opens below)) Vol. 52 no.1 (pages 1-14) SP21038 Not for loan For in house use only

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.

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