Abstract

This paper studies strategic games in which the beliefs of each player are represented by a set of probability measures satisfying a parametric specialization that is called ϵ-contamination. That is, beliefs are represented by a set of probability measures, where every measure in the set has the form (1− ϵ) p*+ ϵp, p* being the benchmark probability measure, p being a contamination, and ϵ reflecting the amount of error in p* that is deemed possible. Under a suitably modified common prior assumption, if beliefs about opponents’ action choices are common knowledge, then beliefs satisfy some properties that can be interpreted as agreement and stochastic independence.

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