Agreeing to disagree in a countable space of equiprobable states
An example is given in which agents agree to disagree, showing that Aumann's (1976) Agreement Theorem does not extend to a countable space of equiprobable states of nature. Even in this unorthodox setting, if the sets of the information partitions are intervals, an agreement theorem holds. A result that describes the margin for disagreement is also obtained.
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377R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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