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School choice with farsighted students

Author

Listed:
  • Atay, Ata

    (University of Barcelona)

  • Mauleon, Ana

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

  • Vannetelbosch, Vincent

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

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. In addition, we show that variations of TTC that improve in terms of no justified envy are farsightedly stable, but may require more farsightedness on behalf of students.

Suggested Citation

  • Atay, Ata & Mauleon, Ana & Vannetelbosch, Vincent, 2025. "School choice with farsighted students," LIDAM Reprints CORE 3319, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:3319
    DOI: https://doi.org/10.1016/j.geb.2024.11.010
    Note: In: Games and Economic Behavior, 2025, vol. 149, p. 148-163
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    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

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