Asymptotic agreement among communicating decisionmakers

Abstract

This paper studies asymptotic agreement among communicating decision-makers in terms of the evolution of a dynamical system defined on the lattice of information o-algebras. This approach focuses on the concept of decisions based on common knowledge introduced earlier by Aumann, but it extends the investigation to general decision rules. We obtain conditions for asymptotic agreement in cases of direct, indirect, and random communications. We also present several examples to illustrate disagreement when the agreement conditions are not satisfied

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