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...

We consider multi-stage games, where at each stage, players receive private signals about past and current states, past actions and past signals, and choose actions. We fully characterize the distributions over actions, states, and signals that obtain in any (sequential) communication...

Counterfactual policy evaluation often requires computation of game-theoretic equilibria. We provide new algorithms for computing pure-strategy Nash equilibria of games on networks with finite action spaces. The algorithms exploit the fact that many agents may be endowed with types such that a...

This note applies the evolutionary dynamic of Kandori, Mailath, and Rob ( Econometrica 61 (1993), 29-65) to class coordination games that the entire population plays simultaneously. In these games, payoffs and best replies are determined by a symmary statistic of the population strategy profile...

This article considers the robustness of long run equilibria when mutation rates are not assumed to be constant over time. Particular attention is paid to the case where mutation rates decline to zero in the limit. It is found that if behaviour is ergodic, then it corresponds to the long run...

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,...

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...

We apply the stochastic evolutionary approach of equilibrium selection to macroeconomic models in which a complementarity at the macro level is present. These models often exhibit multiple Pareto-ranked Nash equilibria, and the best response-correspondence of an individual increases with a...

We show that Miller and Pazgal.s (2001) model of strategic delegation, in which managerial incentives are based upon relative performance, is affected by a non-existence problem which has impact on the price equilibrium. The undercutting incentives generating this result are indeed similar to...

We analyze dynamic price competition in a homogeneous goods duopoly, where consumers exchange information via word-of-mouth communication. A fraction of consumers, who do not learn any new information, remain locked-in at their previous supplier in each period. We analyze Markov perfect...