Philosopher: Today, I suggest we discuss the important concepts of common knowledge and common belief. As far as I know, the first one to give a formal analysis of these concepts was the philosopher David Lewis, in his book Convention [131]. One of his examples is traffic conventions, about the role of common knowledge in how one behaves in road traffic. To explain this properly, I wonder if yo...

But game theory as we presently know it can not proceed without the fulcrum of common knowledge. Robert Wilson (1985) In the universal belief space [Mertens and Zamir (1985)] which incorporated all situations of incomplete information concerning a state space S , we de ne a `knowledge operator' in terms of beliefs. From this operator we derive (in the usual way) the concept of common knowledge ...