Strict Monotonicity in Comparative Statics

Testing strict monotonicity in nonparametric regression

A new test for strict monotonicity of the regression function is proposed which is based on a composition of an estimate of the inverse of the regression function with a common regression estimate. This composition is equal to the identity if and only if the “true” regression function is strictly monotone, and a test based on an L2-distance is investigated. The asymptotic normality of the corre...

www.econstor.eu Testing strict monotonicity in nonparametric regression

A new test for strict monotonicity of the regression function is proposed which is based on a composition of an estimate of the inverse of the regression function with a common regression estimate. This composition is equal to the identity if and only if the “true” regression function is strictly monotone, and a test based on an L2-distance is investigated. The asymptotic normality of the corre...

Robust Comparative Statics

Comparative Statics in Matching Markets

This paper studies the comparative statics of adding agents to matching markets that generalize the marriage and college-admissions markets of D. Gale and L. Shapley (Amer. Math. Monrh1.v 69, 1962, 9915). It is shown, for the wide class of matching markets studied by A. Roth (Econometrica 52, 1984, 47-57), that adding an agent to one side of the market weakens the competitive positions of the o...

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 ...