This paper examines the coalition-proof Nash equilibria of a Bertrand model of price competition where firms supply all demand. When firms are asymmetric we prove existence and provide a sufficient condition for uniqueness. For symmetric firms, we show that an equilibrium is necessarily unique....

This paper studies a repeated minority game with public signals, symmetric bounded recall, and pure strategies. We investigate both public and private equilibria of the game with fixed recall size. We first show how public equilibria in such a repeated game can be represented as colored...

This paper provides a dual characterization of the limit set of perfect public equilibrium payoffs in stochastic games (in particular, repeated games) as the discount factor tends to one. As a first corollary, the folk theorems of Fudenberg, Levine and Maskin (1994), Kandori and Matsushima...

Delayed perfect monitoring in an in�nitely repeated discounted game is studied. A player perfectly observes any other player's action choice with a fixed, but finite delay. The observational delays between different pairs of players are heterogeneous and asymmetric. The Folk Theorem extends to...

Markov perfection has become the usual solution concept to determine the non-cooperative equilibrium in a dynamic game. However, Markov perfection is a stronger solution concept than subgame perfection: Markov perfection rules out any cooperation in a repeated prisoners' dilemma game because the...

Delayed perfect monitoring in an infinitely repeated discounted game is studied. A player perfectly observes any other player’s action choice with a fixed and finite delay. The observational delays between different pairs of players are heterogeneous and asymmetric. The Folk theorem extends to...

We consider a game with " meta-players" who observe each other's actions before actual play. The observability exerts an effect like repeated games without discounting. The game has Nash equilibria with any individually rational payoff profiles. In addition, the outcomes that satisfy a modified...