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School choice with farsighted students

Author

Listed:
  • Ata Atay

    (University of Barcelona and BEAT)

  • Ana Mauleon

    (CEREC and CORE/LIDAM, UCLouvain)

  • Vincent Vannetelbosch

    (CORE/LIDAM, UCLouvain)

Abstract

We consider priority-based school choice problems with farsighted students. We show that a singleton set consisting of the matching obtained from the Top Trading Cycles (TTC) mechanism is a farsighted stable set. However, the matching obtained from the Deferred Acceptance (DA) mechanism may not belong to any farsighted stable set. Hence, the TTC mechanism provides an assignment that is not only Pareto efficient but also farsightedly stable. Moreover, looking forward three steps ahead is already sufficient for stabilizing the matching obtained from the TTC.

Suggested Citation

  • Ata Atay & Ana Mauleon & Vincent Vannetelbosch, 2022. "School choice with farsighted students," UB School of Economics Working Papers 2022/437, University of Barcelona School of Economics.
    • Handle: RePEc:ewp:wpaper:437web
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    File URL: http://hdl.handle.net/2445/191605
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    References listed on IDEAS

    as
    1. Dutta, Bhaskar & Vohra, Rajiv, 2017. "Rational expectations and farsighted stability," Theoretical Economics, Econometric Society, vol. 12(3), September.
    2. Jean-Jacques Herings, P. & Mauleon, Ana & Vannetelbosch, Vincent, 2017. "Stable sets in matching problems with coalitional sovereignty and path dominance," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 14-19.
    3. Jean-Jacques HERINGS & Ana MAULEON & Vincent VANNETELBOSCH, 2017. "Stable sets in matching problems with coalitional sovereignty path dominance," LIDAM Reprints CORE 2861, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(3), pages 1297-1348.
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    Cited by:

    1. Ata Atay & Sylvain Funck & Ana Mauleon & Vincent Vannetelbosch, 2023. "Matching markets with farsighted couples," UB School of Economics Working Papers 2023/445, University of Barcelona School of Economics.
    2. Ata Atay & Ana Mauleon & Vincent Vannetelbosch, 2022. "Limited Farsightedness in Priority-Based Matching," Papers 2212.07427, arXiv.org.
    3. Clayton Thomas, 2024. "Priority-Neutral Matching Lattices Are Not Distributive," Papers 2404.02142, arXiv.org.

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    More about this item

    Keywords

    School choice; top trading cycle; stable sets; farsighted students.;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • 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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