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Student-optimal interdistrict school choice: District-based versus school-based admissions

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  • Ehlers, Lars

Abstract

Hafalir et al. (2022) introduce a model of interdistrict school choice. We show that any district's admission rule satisfying their assumptions is uniquely rationalized by a collection of schools' choice functions satisfying substitutability and acceptance. We then establish that all students weakly prefer the outcome of the cumulative offer process (COP) under the school-based admissions to the outcome under the district-based admissions. This has the implication that if students prefer the interdistrict outcome for the district-based admissions to the intradistrict outcome, then all students are weakly better off under the school-based admissions compared to either of these outcomes. Therefore, for student-optimal interdistrict school choice the introduction of district admission rules hurts students and it suffices to endow schools with usual choice priorities (if students' welfare is more important than districts' policy goals) and to (de)centralize district admissions by letting schools choose.

Suggested Citation

  • Ehlers, Lars, 2023. "Student-optimal interdistrict school choice: District-based versus school-based admissions," Games and Economic Behavior, Elsevier, vol. 142(C), pages 411-422.
    • Handle: RePEc:eee:gamebe:v:142:y:2023:i:c:p:411-422
    DOI: 10.1016/j.geb.2023.08.016
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    References listed on IDEAS

    as
    1. Hafalir, Isa E. & Kojima, Fuhito & Yenmez, M. Bumin, 2022. "Interdistrict school choice: A theory of student assignment," Journal of Economic Theory, Elsevier, vol. 201(C).
    2. Kojima, Fuhito, 2012. "School choice: Impossibilities for affirmative action," Games and Economic Behavior, Elsevier, vol. 75(2), pages 685-693.
    3. Yenmez, M. Bumin, 2018. "A college admissions clearinghouse," Journal of Economic Theory, Elsevier, vol. 176(C), pages 859-885.
    4. Kamada, Yuichiro & Kojima, Fuhito, 2018. "Stability and strategy-proofness for matching with constraints: a necessary and sufficient condition," Theoretical Economics, Econometric Society, vol. 13(2), May.
    5. Chambers, Christopher P. & Yenmez, M. Bumin, 2018. "On lexicographic choice," Economics Letters, Elsevier, vol. 171(C), pages 222-224.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Interdistrict; School choice; Strategy-proofness; Stability; (constrained) efficiency;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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