Local interactions refer to social and economic phenomena where individuals' choices are influenced by the choices of others who are close to them socially or geographically. This represents a fairly accurate picture of human experience. Furthermore, since local interactions imply particular...

This paper reviews a framework for numerically analyzing dynamic interactions in imperfectly competitive industries. The framework dates back to Ericson and Pakes [1995. Review of Economic Studies 62, 53–82], but it is based on equilibrium notions that had been available for some time before,...

The author analyses delegation in homogenous duopoly under the assumption that firm-managers compete in supply functions. He reverses earlier findings in that owners give managers incentives to act in an accommodating way. That is, optimal delegation reduces per-firm output and increases profits...

This paper is a self-contained survey of algorithms for computing Nash equilibria of two-person games. The games may be given in strategic form or extensive form. The classical Lemke-Howson algorithm finds one equilibrium of a bimatrix game, and provides an elementary proof that a Nash...

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 examines the conceptual foundations of the concept of strategic equilibrium and its various variants and refinements. The emphasis is very much on the underlying ideas rather than on any technical details.After an examination of some pre-equilibrium ideas, in particular the concept...

This chapter of the Handbook of Game Theory (Vol. 3) provides an overview of the theory of Nash equilibrium and its refinements. The starting-point is the rationalistic approach to games and the question whether there exists a convincing, self-enforcing theory of rational behavior in...