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Gradual college admission

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  • Haeringer, Guillaume
  • Iehlé, Vincent

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 in the next period. Students participating in 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 in 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

  • Haeringer, Guillaume & Iehlé, Vincent, 2021. "Gradual college admission," Journal of Economic Theory, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:jetheo:v:198:y:2021:i:c:s0022053121001952
    DOI: 10.1016/j.jet.2021.105378
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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. 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.
    4. repec:hhs:lunewp:2023_012 is not listed on IDEAS

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    More about this item

    Keywords

    Gradual matching; Withdrawal; French college admissions system;
    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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