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School choice with neighbors

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  • Dur, Umut Mert
  • Wiseman, Thomas

Abstract

We consider the school choice problem where students who live near each other may prefer to be assigned to the same school. Even this very mild form of externality means that stable matchings may not exist, and that the student-proposing deferred acceptance mechanism may yield undesirable results — it is neither stable nor strategy-proof. We modify the school-proposing deferred acceptance mechanism to improve its performance. Our setting has important differences from both matching with couples and matching with preferences over colleagues.

Suggested Citation

  • Dur, Umut Mert & Wiseman, Thomas, 2019. "School choice with neighbors," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 101-109.
    • Handle: RePEc:eee:mateco:v:83:y:2019:i:c:p:101-109
    DOI: 10.1016/j.jmateco.2018.12.001
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    References listed on IDEAS

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    Cited by:

    1. Hong, Miho & Park, Jaeok, 2022. "Core and top trading cycles in a market with indivisible goods and externalities," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    2. Jörgen Kratz, 2017. "Overlapping multiple object assignments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 723-753, March.
    3. Nadja Stroh-Maraun, 2020. "Pareto Efficiency in Weighted School Choice Problems," Working Papers Dissertations 64, Paderborn University, Faculty of Business Administration and Economics.
    4. William Phan & Ryan Tierney & Yu Zhou, 2024. "Crowding in School Choice," American Economic Review, American Economic Association, vol. 114(8), pages 2526-2552, August.
    5. Dur, Umut & Paiement, Scott, 2024. "A characterization of the top trading cycles mechanism for the school choice problem," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 93-100.
    6. Fisher, James C.D., 2020. "Existence of stable allocations in matching markets with infinite contracts: A topological approach," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 136-140.
    7. Itai Ashlagi & Peng Shi, 2014. "Improving Community Cohesion in School Choice via Correlated-Lottery Implementation," Operations Research, INFORMS, vol. 62(6), pages 1247-1264, December.
    8. Piazza, Adriana & Torres-Martínez, Juan Pablo, 2024. "Coalitional stability in matching problems with externalities and random preferences," Games and Economic Behavior, Elsevier, vol. 143(C), pages 321-339.

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