All agreed: Aumann meets DeGroot

Theory and Decision 85 (1):41-60 (2018)
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Abstract

We represent consensus formation processes based on iterated opinion pooling as a dynamic approach to common knowledge of posteriors :1236–1239, 1976; Geanakoplos and Polemarchakis in J Econ Theory 28:192–200, 1982). We thus provide a concrete and plausible Bayesian rationalization of consensus through iterated pooling. The link clarifies the conditions under which iterated pooling can be rationalized from a Bayesian perspective, and offers an understanding of iterated pooling in terms of higher-order beliefs.

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Author Profiles

Jan-Willem Romeijn
University of Groningen
Olivier Roy
Universität Bayreuth

Citations of this work

Support for Geometric Pooling.Jean Baccelli & Rush T. Stewart - forthcoming - Review of Symbolic Logic:1-40.
Collective Opinion as Tendency Towards Consensus.Chenwei Shi - 2021 - Journal of Philosophical Logic 50 (3):593-613.

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