Comparative Statics for Oligopoly: Demand Shift Effects

Monotone Comparative Statics of Characteristic Demand

This study deals with comparative statics of the consumer’s demand. According to Lancaster [1966, Journal of Political Economy ], a utility function should be defined on the set of all characteristics that affect well-being of the consumer and these characteristics should be derived by consuming commodities. We show the sufficient condition for monotone comparative statics of the demand for cha...

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...

Comparative Statics in Markets for Indivisible Goods

This paper builds upon Caplin and Leahy [2010], which introduced a new mathematical apparatus for understanding NTU allocation markets, as such covering the housing market and other markets for large indivisible goods. In the current paper we complete the study of comparative statics initiated therein. We introduce homotopy methods to characterize how equilibrium changes in response to arbitrar...