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Gradual College Admission

Author

Listed:
  • Guillaume Haeringer

    (Baruch College [CUNY] - CUNY - City University of New York [New York])

  • Vincent Iehlé

    (CREAM - Centre de Recherche en Economie Appliquée à la Mondialisation - UNIROUEN - Université de Rouen Normandie - NU - Normandie Université - IRIHS - Institut de Recherche Interdisciplinaire Homme et Société - UNIROUEN - Université de Rouen Normandie - NU - Normandie Université, UNIROUEN - Université de Rouen Normandie - NU - Normandie Université)

Abstract

We study multi-period college admission problems where, at each period, a matching is computed and students have the option to either finalize their matches or participate to the next period. Students participating to an additional run of the matching mechanism can submit a new rank order list to the matching clearinghouse. Such gradual matching systems can adequately account for an additional source of heterogeneity among participants, like withdrawals. We identify the conditions under which such systems first ensure that participating to additional runs of the matching mechanism is safe for participants (in the sense that they can secure the spot they obtained at the previous round) and second yield to stable matchings (with a stability concept adapted to this environment). We use our results to evaluate the former French college admission system, where students could finalize their matches at different dates up to two months ahead the end of the admission campaign.

Suggested Citation

  • Guillaume Haeringer & Vincent Iehlé, 2021. "Gradual College Admission," Post-Print halshs-02330435, HAL.
    • Handle: RePEc:hal:journl:halshs-02330435
    DOI: 10.1016/j.jet.2021.105378
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02330435v2
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    Cited by:

    1. Bó, Inácio & Hakimov, Rustamdjan, 2022. "The iterative deferred acceptance mechanism," Games and Economic Behavior, Elsevier, vol. 135(C), pages 411-433.
    2. Battal Doğan & M. Bumin Yenmez, 2023. "When does an additional stage improve welfare in centralized assignment?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1145-1173, November.
    3. Tommy Andersson & Umut Dur & Sinan Ertemel & Onur Kesten, 2024. "Sequential school choice with public and private schools," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(2), pages 231-276, September.
    4. Afacan, Mustafa Oğuz & Evdokimov, Piotr & Hakimov, Rustamdjan & Turhan, Bertan, 2022. "Parallel markets in school choice," Games and Economic Behavior, Elsevier, vol. 133(C), pages 181-201.
    5. repec:hhs:lunewp:2023_012 is not listed on IDEAS
    6. Jiarui Xie, 2024. "Games under the Tiered Deferred Acceptance Mechanism," Papers 2406.00455, arXiv.org, revised Oct 2024.

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    More about this item

    Keywords

    French college admissions system; withdrawal; school choice problem; multi-period matching; early admission; stability; gradual matching; two-sided matching; JEL classification: C78; D02 gradual matching;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact

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