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Fuhito Kojima, Parag A. Pathak, Alvin E. Roth, Matching with Couples: Stability and Incentives in Large Markets*, The Quarterly Journal of Economics, Volume 128, Issue 4, November 2013, Pages 1585–1632, https://doi.org/10.1093/qje/qjt019
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Abstract
Accommodating couples has been a long-standing issue in the design of centralized labor market clearinghouses for doctors and psychologists, because couples view pairs of jobs as complements. A stable matching may not exist when couples are present. This article’s main result is that a stable matching exists when there are relatively few couples and preference lists are sufficiently short relative to market size. We also discuss incentives in markets with couples. We relate these theoretical results to the job market for psychologists, in which stable matchings exist for all years of the data, despite the presence of couples.