Game Theory plays a fundamental role in the social sciences. In this dissertation, we present three essays---the first two dealing with the pure theory of games and the third with an application of game theory to political economy. In the firstessay, we consider the effect of unbounded...

This thesis consists of three chapters. In the first chapter, we consider coalition formationgames with externalities. A natural extension of superadditivity is not sufficient to imply that the grand coalition is efficient when externalities are present. We provide a condition, analogous to...