A Note on Approximating Agreeing to Disagree Results with Common p-Beliefs
Monderer and samet (1989) generalize Aumann's (1976) agreeing to disagree result for the case of beliefs. They show that if the posteriors of an event are "common p-blief" then they cannot differ by more than 2(1-p). We provide a different proof of this result with a lower bound of 1-p. An example which attains this bound is provided.