Aumann has shown that agents who have a common prior cannot have common knowledge of their posteriors for event $E$ if … common knowledge that the posteriors for $E$ \emph{do} coincide? We show that a necessary and sufficient condition for this … is the existence of a nonempty \emph{finite} event $F$ with the following two properties. First, it is common knowledge …

different outcome which is rather based on disruptive thinking instead of common knowledge. …

We study the probability that two or more agents can attain common knowledge of nontrivial events when the size of the … are independently and identically distributed, we prove that the asymptotic probability of nontrivial common knowledge …

agents' forecasts is less than 1, provided that this sensitivity is common knowledge. Relaxing this common knowledge …

agents' forecasts is less than 1, provided that this sensitivity is common knowledge. Relaxing this common knowledge …

in common knowledge decisions due to ambiguous character of agents' private information. Agents share a common …