Strong comparative statics of equilibria

Strong comparative statics of equilibria

Computation, Multiplicity, and Comparative Statics of Cournot Equilibria in Integers

We give an efficient algorithm for computing a Cournot equilibrium when the producers are confined to integers, the inverse demand function is linear, and costs are quadratic. The method also establishes existence constructively. We use our characterization to discuss the multiplicity of integer Cournot equilibria and their relationship to the real Cournot equilibrium.

Robust Comparative Statics

Aggregate comparative statics

In aggregative games, each player’s payoff depends on her own actions and an aggregate of the actions of all the players (for example, sum, product or some moment of the distribution of actions). Many common games in industrial organization, political economy, public economics, and macroeconomics can be cast as aggregative games. In most of these situations, the behavior of the aggregate is of ...

Distributional Comparative Statics

An important set of questions in economics concern how changes in the distribution of economic parameters (income, wealth, productivity, distortions, information, etc.) impact individual choices and market outcomes. We currently do not have tools to answer such questions. In this paper, I develop a theory of distributional comparative statics that addresses this set of issues. Central to the de...