I study how choice behavior given unawareness of an event differs from choice behavior given subjective belief of zero … probability on that event. Depending on different types of unawareness the decision-maker suffers, behavior under unawareness is … either incomparable with that under zero probability (in the case of pure unawareness), or drastically different (in the case …

Formal Interactive Epistemology deals with the logic of knowledge and belief when there is more than one agent or … "player." One is interested not only in each person's knowledge and beliefs about substantive matters, but also in his … knowledge and beliefs about the others' knowledge and beliefs. This paper examines two parallel approaches to the subject. The …

We study the probability that two or more agents can attain common knowledge of nontrivial events when the size of the … state space grows large. We adopt the standard epistemic model where the knowledge of an agent is represented by a partition … nontrivial common knowledge undergoes a phase transition. Regardless of the number of agents, when their cognitive capacity is …