We study type spaces where a player's type at a state is a conditional probability on the space. We axiomatize these spaces using conditional belief operators, examining three additional axioms of increasing strength. First, introspection, which requires the agent to be unconditionally certain...

A decision maker is asked to express her beliefs by assigning probabilities to certain possible states. We focus on the relationship between her database and her beliefs. We show that if beliefs given a union of two databases are a convex combination of beliefs given each of the databases, the...

We investigate how the possibility of subsequently subcontracting production to each other influences rivals' initial competition for a contract or a market as a two-stage game. In its first stage, the two firms engage in price competition to supply a contract or a market. In the second stage,...