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...

Stochastic games model repeated play with symmetric information. We analyze their value in the zero-sum case, and approach the study of their equilibria in the non-zero-sum case.

This chapter is devoted to the study of Nash equilibria, and correlated equilibria in both finite and infinite games. We restrict our discussions to only those properties that are somewhat special to the case of two-person games. Many of these properties fail to extend even to three-person...

This chapter surveys the branch of implementation theory initiated by Maskin (1999). Results for both complete and incomplete information environments are covered.

0. SummaryThe theory of repeated games is concerned with the analysis of behavior in long-term interactions as opposed to one-shot situations; in this framework new objects occur in the form of threats, cooperative plans, signals, etc. that are deeply related to "real life" phenomena like...