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Singleton core in many-to-one matching problems

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  • Akahoshi, Takashi

Abstract

We explore two necessary and sufficient conditions for the singleton core in college admissions problems. One is a condition on the colleges’ preference profiles, called acyclicity, and the other is a condition on their capacity vectors. We also study the implications of our acyclicity condition. The student-optimal stable matching is strongly efficient for the students, given an acyclic profile of the colleges’ preference relations. Even when the colleges’ true preference profile is acyclic, a college may be better off by misreporting its preference when the college-optimal stable mechanism is used.

Suggested Citation

  • Akahoshi, Takashi, 2014. "Singleton core in many-to-one matching problems," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 7-13.
    • Handle: RePEc:eee:matsoc:v:72:y:2014:i:c:p:7-13
    DOI: 10.1016/j.mathsocsci.2014.09.001
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    References listed on IDEAS

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