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Econometrica Vol. 81 No. 2 2013

Matching With (Branch-of-Choice) Contracts at the United States Military Academy

Tayfun Sönmez1; Tobias B. Switzer2,3

1 Boston College · 2 United States Air Force · 3 Cabot (United States)

Abstract

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-life matching problem fills an important gap in the market design literature, providing strong empirical legitimacy to a series of elegant theoretical works on matching with contracts. Although priorities fail a key substitutes condition, the agent-optimal stable mechanism is well defined, and in contrast to the current USMA mechanism it is fair, stable, strategy-proof, and respects improvements in cadet priorities. Adoption of this mechanism benefits cadets and the Army. This new application shows that the matching with contracts model is practically relevant beyond traditional domains that satisfy the substitutes condition.

DOI
10.3982/ecta10570
Volume
81
Issue
2
Pages
451-488
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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