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American Economic Review Vol. 108 No. 11 2018

Near-Feasible Stable Matchings with Couples

Thành Nguyen1; Rakesh Vohra2

1 Krannert School of Management, Purdue University, 403 W. State Street, West Lafayette, IN 47906 (email: ) · 2 Economics Department, University of Pennsylvania, 451 McNeil Building 3718 Locust Walk, Philadelphia, PA 19104 (email: )

Abstract

The National Resident Matching program seeks a stable matching of medical students to teaching hospitals. With couples, stable matchings need not exist. Nevertheless, for any student preferences, we show that each instance of a matching problem has a "nearby" instance with a stable matching. The nearby instance is obtained by perturbing the capacities of the hospitals. In this perturbation, aggregate capacity is never reduced and can increase by at most four. The capacity of each hospital never changes by more than two.

DOI
10.1257/aer.20141188
Volume
108
Issue
11
Pages
3154-3169
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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