Contracts are not salaries in the hidden-substitutes domain

摘要

We show that many-to-one matching markets with contracts where colleges' preferences satisfy the hidden substitutes condition of Hatfield and Kominers (2015) may not be embedded, in the sense of Echenique (2012) into a Kelso and Crawford(1982) matching-with-salaries market. Our proof relies on a configurations of preferences that is observed in many college admissions markets. (C) 2019 Elsevier B.V. All rights reserved.