It’s Common Knowledge

Common Knowledge and Common Belief

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...

Common belief and common knowledge

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 ...

Common Knowledge

Common Knowledge

In a game, an item of information is considered common knowledge if all players know it, and all players know that they know it, and all players know that they know that they know it, ad infinitum. We investigate how the information structure of a game can affect equilibrium and explore how common knowledge can be approximated by Monderer and Samet’s notion of common belief in the case it canno...

Timely Common Knowledge

Coordinating activities at different sites of a multi-agentsystem typically imposes epistemic constraints on the par-ticipants. Specifying explicit bounds on the relative timesat which actions are performed induces combined tempo-ral and epistemic constraints on when agents can performtheir actions. This paper characterises the interactive epis-temic state that arises wh...