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Strategic Issues in College Admissions with Early Decision

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  • Mumcu, Ayse
  • Saglam, Ismail

Abstract

In this paper, we consider college admissions with early decision using a many-to-one matching model with two periods. As in reality, each student commits to only one college in the early decision period and agrees to enroll if admitted. Under responsive and consistent preferences for both colleges and students, we show that there exists no stable matching system, consisting of early and regular decision matching rules, which is nonmanipulable via early decision quotas by colleges or early decision preferences by colleges or students.

Suggested Citation

  • Mumcu, Ayse & Saglam, Ismail, 2020. "Strategic Issues in College Admissions with Early Decision," MPRA Paper 98587, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:98587
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    References listed on IDEAS

    as
    1. Christopher Avery & Jonathan Levin, 2010. "Early Admissions at Selective Colleges," American Economic Review, American Economic Association, vol. 100(5), pages 2125-2156, December.
    2. Ayşe Mumcu & Ismail Saglam, 2009. "Games of capacity allocation in many-to-one matching with an aftermarket," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 383-403, September.
    3. Mongell, Susan & Roth, Alvin E, 1991. "Sorority Rush as a Two-Sided Matching Mechanism," American Economic Review, American Economic Association, vol. 81(3), pages 441-464, June.
    4. Kim, Matthew, 2010. "Early decision and financial aid competition among need-blind colleges and universities," Journal of Public Economics, Elsevier, vol. 94(5-6), pages 410-420, June.
    5. Chen, Wei-Cheng & Chen, Yi-Yi & Kao, Yi-Cheng, 2018. "Limited choice in college admissions: An experimental study," Games and Economic Behavior, Elsevier, vol. 108(C), pages 295-316.
    6. 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.
    7. Roth, Alvin E & Vande Vate, John H, 1991. "Incentives in Two-Sided Matching with Random Stable Mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 31-44, January.
    8. Chapman, Gabrielle & Dickert-Conlin, Stacy, 2012. "Applying early decision: Student and college incentives and outcomes," Economics of Education Review, Elsevier, vol. 31(5), pages 749-763.
    9. Alvin E. Roth & Uriel G. Rothblum, 1999. "Truncation Strategies in Matching Markets--In Search of Advice for Participants," Econometrica, Econometric Society, vol. 67(1), pages 21-44, January.
    10. Sam-Ho Lee, 2009. "Jumping The Curse: Early Contracting With Private Information In University Admissions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(1), pages 1-38, February.
    11. Roth, Alvin E & Xing, Xiaolin, 1994. "Jumping the Gun: Imperfections and Institutions Related to the Timing of Market Transactions," American Economic Review, American Economic Association, vol. 84(4), pages 992-1044, September.
    12. Yenmez, M. Bumin, 2018. "A college admissions clearinghouse," Journal of Economic Theory, Elsevier, vol. 176(C), pages 859-885.
    13. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
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    More about this item

    Keywords

    College admissions; early decision; manipulability; many-to-one matching.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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