Agreeing to disagree in infinite information structures (Q1196126)

Generalized information structures, that is, information structures that are not partitions, are needed when we wish to impose some limitations on the concept of knowledge or bound rationality. In a previous work the author showed that the impossibility of `agreeing to disagree', which was proved by R. Aumann for partitions, also holds for reflexive-transitive information structures when certain restrictions are imposed on such structures. In particular, finite reflexive-transitive structures satisfy these restrictions. Now we show that the restrictions are not superflous by constructing infinite reflexive-transitive information structures for which agents can agree not to agree.