This paper develops a price-theoretic framework for matching markets with heterogeneous
preferences. The model departs from the Gale and Shapley model by assuming that a finite …

Branch selection is a key decision in a cadet's military career. Cadets at USMA can increase
their branch priorities at a fraction of slots by extending their service agreement. This real …

We introduce a two‐sided, many‐to‐one matching with contracts model in which agents with
unit demand match to branches that may have multiple slots available to accept contracts …

The matching with contracts model (Hatfield and Milgrom 2005) is widely considered to be
one of the most important advances of the last two decades in matching theory. One of their …

An Equivalence Theorem between geometric structures and utility functions allows new
methods for understanding preferences. Our classification of valuations into “Demand …

Motivated by the low retention rates of US Military Academy and Reserve Officer Training
Corps graduates, the Army recently introduced incentives programs in which cadets could …

Abstract The 2020 Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred
Nobel was awarded to Paul R. Milgrom and Robert B. Wilson for “improvements to auction …

We consider two-sided matching problems where agents on one side of the market
(hospitals) are required to satisfy certain distributional constraints. We show that when the …

In recent years, many developments have been made in matching theory and its
applications to market design. This paper surveys them and suggests possible research …

Labor markets can often be viewed as many-to-one matching markets. It is well known that if
complementarities are present in such markets, a stable matching may not exist. We study …