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Entering classes in the college admissions model

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  • Wu, Qingyun

Abstract

This note reveals a characteristic of stable matchings in the college admissions problem and provides structural insights and a unified treatment for several results on entering classes in this model, including the famous “Rural Hospital Theorem”. We also show that the worst student determines the entire entering class.

Suggested Citation

  • Wu, Qingyun, 2020. "Entering classes in the college admissions model," Games and Economic Behavior, Elsevier, vol. 124(C), pages 579-587.
    • Handle: RePEc:eee:gamebe:v:124:y:2020:i:c:p:579-587
    DOI: 10.1016/j.geb.2020.09.003
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    References listed on IDEAS

    as
    1. Wu, Qingyun & Roth, Alvin E., 2018. "The lattice of envy-free matchings," Games and Economic Behavior, Elsevier, vol. 109(C), pages 201-211.
    2. Roth, Alvin E, 1986. "On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets," Econometrica, Econometric Society, vol. 54(2), pages 425-427, March.
    3. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
    4. Itai Ashlagi & Yash Kanoria & Jacob D. Leshno, 2017. "Unbalanced Random Matching Markets: The Stark Effect of Competition," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 69-98.
    5. Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
    6. Roth, Alvin E & Sotomayor, Marilda, 1989. "The College Admissions Problem Revisited," Econometrica, Econometric Society, vol. 57(3), pages 559-570, May.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Stable matchings; College admissions; Entering classes; Lattice; Rotation;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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