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How lotteries in school choice help to level the playing field

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  • Basteck, Christian
  • Klaus, Bettina
  • Kübler, Dorothea

Abstract

School authorities in the UK and the US advocate the use of lotteries to desegregate schools. We study a school choice mechanism employed in Berlin where a lottery quota is embedded in the immediate acceptance (IA) mechanism, and compare it to the deferred acceptance mechanism (DA) with a lottery quota. In both mechanisms, some seats are allocated based on academic achievement (e.g., grades), while seats in the lottery quota are allocated randomly. We find that, in theory, a lottery quota strengthens truth-telling in DA by eliminating non-truth-telling equilibria. Furthermore, the equilibrium outcome is stable for DA with a lottery but not for IA with a lottery. These predictions are borne out in the experiment. Moreover, the lottery quota leads to more diverse school populations in the experiment, as predicted. Students with the lowest grades profit more from the introduction of the lottery under IA than under DA.

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  • Basteck, Christian & Klaus, Bettina & Kübler, Dorothea, 2021. "How lotteries in school choice help to level the playing field," Games and Economic Behavior, Elsevier, vol. 129(C), pages 198-237.
    • Handle: RePEc:eee:gamebe:v:129:y:2021:i:c:p:198-237
    DOI: 10.1016/j.geb.2021.05.010
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    2. Hakimov, Rustamdjan & Kübler, Dorothea, 2019. "Experiments On Matching Markets: A Survey," Rationality and Competition Discussion Paper Series 153, CRC TRR 190 Rationality and Competition.
    3. Schmidt, Robert J. & Trautmann, Stefan T., 2019. "Implementing (Un)fair Procedures? Favoritism and Process Fairness when Inequality is Inevitable," Other publications TiSEM 125472e2-51a2-4cf9-aab5-1, Tilburg University, School of Economics and Management.
    4. Adam Kapor & Mohit Karnani & Christopher Neilson, 2019. "Negative Externalities of Off Platform Options and the Efficiency of Centralized Assignment Mechanisms," Working Papers 635, Princeton University, Department of Economics, Industrial Relations Section..
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    6. Hakimov, Rustamdjan & Kübler, Dorothea, 2021. "Experiments on centralized school choice and college admissions: a survey," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 24(2), pages 434-488.
    7. Elias Bouacida & Renaud Foucart, 2022. "Rituals of Reason," Working Papers 344119591, Lancaster University Management School, Economics Department.
    8. Schmidt, Robert J. & Trautmann, Stefan T., 2019. "Implementing (un)fair procedures? Favoritism and process fairness when inequality is inevitable," Working Papers 0661, University of Heidelberg, Department of Economics.
    9. Zhang, Jun, 2021. "Level-k reasoning in school choice," Games and Economic Behavior, Elsevier, vol. 128(C), pages 1-17.
    10. Mennle, Timo & Seuken, Sven, 2021. "Partial strategyproofness: Relaxing strategyproofness for the random assignment problem," Journal of Economic Theory, Elsevier, vol. 191(C).

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    More about this item

    Keywords

    School choice; Immediate acceptance mechanism; Deferred acceptance mechanism; Lotteries; Experiment; Market design;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • I24 - Health, Education, and Welfare - - Education - - - Education and Inequality

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