Static and dynamic games are important tools for the analysis of strategic interactions among economic agents and have found many applications in economics. In many games, equilibria can be described as solutions of polynomial equations. In this paper, we describe state-of-the-art techniques for...

Discrete-time stochastic games with a finite number of states have been widely applied to study the strategic interactions among forward-looking players in dynamic environments. These games suffer from a “curse of dimensionality” when the cost of computing players’ expectations over all...

We develop a dynamic model in which firms decide when and where to enter a growing market. We do not pre-specify the order of entry, allowing instead for the roles of leader and follower to be determined endogenously. We characterize the subgame perfect equilibrium of the dynamic game and show...

We consider the large class of dynamic games in which each player’s actions are unobservable to the other players, and each player’s actions can influence a state variable that is unobservable to the other players. We develop an algorithm that solves for the subset of sequential equilibria...

The goal of this paper is to extend the analysis of strategic bargaining to nonstationary environments, where preferences or opportunities may be changing over time. We are mainly interested in equilibria where trade occurs immediately, once the agents start negotiating, but the terms of trade...

A pairwise random matching game is considered to identify the social environments that give rise to the social custom and fashion cycles. The game, played by Conformists and Nonconformists, can generate a variety of socially stable behavior patterns. In the path-dependence case, Conformists set...