We characterize Nash equilibria of games with a continuum of players (Mas-Colell (1984)) in terms of approximate equilibria of large finite games. For the concept of (; ) equilibrium in which the fraction of players not optimizing is less than we show that a strategy is a Nash equilibrium in a...

We consider an asymptotic version of Mas-Colell's theorem on the existence of pure strategy Nash equilibria in large games. Our result states that, if players' payoff functions are selected from an equicontinuous family, then all sufficiently large games have an pure, equilibrium for all gt; 0....

We show that for any discount factor, there is a natural number M such that all subgame perfect equilibrium outcomes of the discounted repeated prisoners' dilemma can be obtained by subgame perfect equilibrium strategies with the following property: current play depends only on the number of the...

In a version of the Diamond and Dybvig [6] model with aggregate uncertainty, we show that there exists an equilibrium with the following properties: all consumers deposit at the bank, all patient consumers wait for the last period to withdraw, and the bank fails with strictly positive...

We show that every bounded, continuous at infinity game of perfect information has an -perfect equilibrium. Our method consists of approximating the payoff function of each player by a sequence of simple functions, and to consider the corresponding sequence of games, each differing form the...

We argue that it is natural to study social institutions within the framework of standard game theory (i.e., only by resorting to concepts like players, actions, strategies, information sets, payoff functions, and stochastic processes describing the moves of nature, which constitute a stochastic...

We show that monetary trading is simple, self-enforcing, symmetric, and irreducible in a natural framework. Furthermore, we will show that the utility for each economic agent is at least as big under the monetary system as under any other simple, self-enforcing, symmetric, and irreducible...

Random matching models have been used in Monetary Economics to argue that money can increase the well being of all agents in the economy. If the model features a finite number of agents it will be shown that there is an equilibrium, analogous to the contagious equilibria described in Kandori...