[Journal:] Theoretical Economics [ISSN:] 1555-7561 [Volume:] 13 [Issue:] 2 [Publisher:] The Econometric Society [Place:] New Haven, CT [Year:] 2018 [Pages:] 761-793
The Econometric Society, New Haven, CT
Distributional constraints are common features in many real matching markets, such as medical residency matching, school admissions, and teacher assignment. We develop a general theory of matching mechanisms under distributional constraints. We identify the necessary and sufficient condition on the constraint structure for the existence of a mechanism that is stable and strategy-proof for the individuals. Our proof exploits a connection between a matching problem under distributional constraints and a matching problem with contracts.
Matching with constraints medical residency matching school choice stability strategy-proofness matching with contracts hierarchy