The authors introduce and analyze 'multistage situations,' which generalize 'multistage games' (which, in turn, generalize 'repeated games'). One reason for this generalization is to avoid the perhaps unrealistic constraints--inherent to noncooperative games--that the set of strategy tuples must...

Consider an environment with a finite number of alternatives, and agents with private values and quasilinear utility functions. A domain of valuation functions for an agent is a monotonicity domain if every finite-valued monotone randomized allocation rule defined on it is implementable in...

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...