This manuscript analyzes the fundamental factors that govern the qualitative behavior of discrete dynamical systems. It introduces methods of analysis for stability analysis of discrete dynamical systems. The analysis focuses initially on the derivation of basic propositions about the factors...

We define social institutions as strategies in some repeated game. With this interpretation in mind, we consider the impact of introducing requirements on strategies which have been viewed as necessary properties for any social institution to endure. The properties we study are finite...

This statement outlines the objectives and policies of the new journal, Macroeconomic Dynamics, which is dedicated to the advancement of macroeconomics as a science. This Editorial is to appear at the front of the first issue of that journal and is copyright by Cambridge University Press.

The backward induction (or subgame-perfect) equilibrium of a perfect information game is shown to be the unique evolutionarily stable outcome for dynamic models consisting of selection and mutation, when the mutation rate is low and the populations are large.

We exhibit and characterize an entire class of simple adaptive strategies, in the repeated play of a game, having the Hannan- consistency property: In the long-run, the player is guaranteed an average payoff as large as the best-reply payoff to the empirical distribution of play of the other...

This short paper isolates a non-trivial class of games for which there exists a monotone relation between the size of pure strategy spaces and the number of pure Nash equilibria (Theorem). This class is that of two- player nice games, i.e., games with compact real intervals as strategy spaces...

A social game is a generalization of a strategic-form game, in which not only the payoff of each player depends upon the strategies chosen by their opponents, but also their set of admissible strategies. Debreu (1952) proves the existence of a Nash equilibrium in social games with continuous...

The central concept of noncooperative game theory is that of the \emph{strategic equilibrium} (or Nash equilibrium, or noncooperative equilibrium). In this chapter we discuss some of the conceptual issues surrounding this concept and its refinements. Many of these issues have received increasing...

Population games are stochastic processes which explicitly model Nash's (1950) mass action interpretation of Nash equilibrium. The mass action interpretation envisions a population of players for each position in the game, and that players are randomly matched for play. The hope is that the...

In cooperative games in which the players are partitioned into groups, we study the incentives of the members of a group to leave it and become singletons. In this context, we model a non-cooperative mechanism in which each player has to decide whether to stay in his group or to exit and act as...