October 2020
Article
Journal of Mathematical Economics

Comparative Statics for Size-Dependent Discounts in Matching Markets

By: David Delacretaz, Scott Duke Kominers and Alexandru Nichifor

Format:Print

Abstract

We prove a natural comparative static for many-to-many matching markets in which agents’ choice functions exhibit size-dependent discounts: reducing the extent to which some agent discounts additional partners leads to improved outcomes for the agents on the other side of the market, and worsened outcomes for the agents on the same side of the market. Our argument draws upon recently developed methods bringing tools from choice theory into matching.

Keywords

Size-dependent Discounts; Path-independence; Respect For Improvements; Market Design; Mathematical Methods

Citation

Delacretaz, David, Scott Duke Kominers, and Alexandru Nichifor. "Comparative Statics for Size-Dependent Discounts in Matching Markets." Journal of Mathematical Economics 90 (October 2020): 127–131.