Aumann's seminal agreement theorem deals with the impossibility for agents to acknowledge their distinct posterior beliefs. It has also led to important economic implications, for example, in the context of speculation and trade. The reasoning of the agents gains in depth when also admitting...

We study the relationship between common knowledge and the sequence of iterated mutual knowledge from a topological point of view. It is shown that common knowledge is not equivalent to the limit of the sequence of iterated mutual knowledge. On that account the new epistemic operator limit...