Perfectly competitive economies are economic models with many agents, each of whom is relatively insignificant. This chapter studies the relations between the basic economic concept of competitive (or Walrasian) equilibrium, and the game-theoretic solution concept of value. It includes the...

In this article, we consider how important developments in game theory have contributed to the theory of industrial organization. Our goal is not to survey the theory of industrial organization; rather, we consider the contribution of game theory through a careful discussion of a small number of...

In this survey article, we report results on the existence of pure-strategy Nash equilibria in games with an atomless continuum of players, each with an action set that is not necessarily finite. We also discuss purification and symmetrization of mixed-strategy Nash equilibria, and settings in...

This chapter surveys a class of solution concepts for n-person games without transferable utility -- NTU games for short -- that are based on varying notions of "fair division". An NTU game is a specification of payoffs attainable by members of each coalition through some joint course of action....