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Many-to-one matchings without substitutability

Author

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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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    1. Echenique, Federico & Yenmez, M. Bumin, 2007. "A solution to matching with preferences over colleagues," Games and Economic Behavior, Elsevier, vol. 59(1), pages 46-71, April.
    2. Parag A. Pathak & Alvin E. Roth, 2013. "Matching with Couples: Stability and Incentives in Large Markets," The Quarterly Journal of Economics, Oxford University Press, vol. 128(4), pages 1585-1632.
    3. Echenique, Federico & Oviedo, Jorge, 2006. "A theory of stability in many-to-many matching markets," Theoretical Economics, Econometric Society, vol. 1(2), pages 233-273, June.
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    5. Jimmy Chan & Erik Eyster, 2003. "Does Banning Affirmative Action Lower College Student Quality?," American Economic Review, American Economic Association, vol. 93(3), pages 858-872, June.
    6. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    7. Dutta, Bhaskar & Masso, Jordi, 1997. "Stability of Matchings When Individuals Have Preferences over Colleagues," Journal of Economic Theory, Elsevier, vol. 75(2), pages 464-475, August.
    8. Griffith, Amanda & Rask, Kevin, 2007. "The influence of the US News and World Report collegiate rankings on the matriculation decision of high-ability students: 1995-2004," Economics of Education Review, Elsevier, vol. 26(2), pages 244-255, April.
    9. Marek Pycia, 2012. "Stability and Preference Alignment in Matching and Coalition Formation," Econometrica, Econometric Society, vol. 80(1), pages 323-362, January.
    10. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    11. Michael Luca & Jonathan Smith, 2013. "Salience in Quality Disclosure: Evidence from the U.S. News College Rankings," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(1), pages 58-77, March.
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