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Many-to-one matchings without substitutability

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  • Dur, Umut
  • Ikizler, Devrim

Abstract

We study the existence of stable matchings in the many-to-one college admission problem when there are no restrictions on college preferences. We show that the existence of a stable allocation is strongly tied to students having “harmonious preferences” over their sets of acceptable college choices. In other words, without any assumption on college preferences, a stable matching exists for any college admission problem if and only if there is no subset of students with misaligned college rankings.

Suggested Citation

  • Dur, Umut & Ikizler, Devrim, 2016. "Many-to-one matchings without substitutability," Economics Letters, Elsevier, vol. 144(C), pages 123-126.
    • Handle: RePEc:eee:ecolet:v:144:y:2016:i:c:p:123-126
    DOI: 10.1016/j.econlet.2016.02.005
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    References listed on IDEAS

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    Cited by:

    1. Hatfield, John William & Kominers, Scott Duke & Nichifor, Alexandru & Ostrovsky, Michael & Westkamp, Alexander, 2019. "Full substitutability," Theoretical Economics, Econometric Society, vol. 14(4), November.

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