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On the Asymptotic Performance of Affirmative Actions in School Choice

Author

Listed:
  • Di Feng

    (Mathematical Sciences Research Institute)

  • Yun Liu

    (Center for Economic Research, Shandong University)

  • Gaowang Wang

    (Center for Economic Research, Shandong University)

Abstract

This paper analyzes the asymptotic performance of two popular affirmative action policies, majority quota and minority reserve, under the immediate acceptance mechanism (IAM) and the top trading cycles mechanism (TTCM) in the context of school choice. The matching outcomes of these two affirmative actions are asymptotically equivalent under the IAM when all students are sincere. Given the possible preference manipulations under the IAM, we characterize the asymptotically equivalent sets of Nash equilibrium outcomes of the IAM with these two affirmative actions. However, these two affirmative actions induce different matching outcomes under the TTCM with non-negligible probability even in large markets.

Suggested Citation

  • Di Feng & Yun Liu & Gaowang Wang, 2023. "On the Asymptotic Performance of Affirmative Actions in School Choice," Annals of Economics and Finance, Society for AEF, vol. 24(2), pages 289-307, November.
    • Handle: RePEc:cuf:journl:y:2023:v:24:i:2:fengliuwang
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    References listed on IDEAS

    as
    1. Yeon-Koo Che & Olivier Tercieux, 2019. "Efficiency and Stability in Large Matching Markets," Journal of Political Economy, University of Chicago Press, vol. 127(5), pages 2301-2342.
    2. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    3. Parag A. Pathak & Alvin E. Roth, 2013. "Matching with Couples: Stability and Incentives in Large Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(4), pages 1585-1632.
    4. Chen, Yan & Jiang, Ming & Kesten, Onur & Robin, Stéphane & Zhu, Min, 2018. "Matching in the large: An experimental study," Games and Economic Behavior, Elsevier, vol. 110(C), pages 295-317.
    5. Yan Chen & Ming Jiang & Onur Kesten & Stéphane Robin & Min Zhu, 2018. "Matching in the large: An experimental study," Post-Print halshs-01973298, HAL.
    6. Calsamiglia, Caterina & Güell, Maia, 2018. "Priorities in school choice: The case of the Boston mechanism in Barcelona," Journal of Public Economics, Elsevier, vol. 163(C), pages 20-36.
    7. Yun Liu, 2021. "On the Equivalence of Two Competing Affirmative Actions in School Choice," Papers 2112.14074, arXiv.org, revised Mar 2022.
    8. Ergin, Haluk & Sonmez, Tayfun, 2006. "Games of school choice under the Boston mechanism," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 215-237, January.
    9. Parag A. Pathak & Tayfun Sonmez, 2008. "Leveling the Playing Field: Sincere and Sophisticated Players in the Boston Mechanism," American Economic Review, American Economic Association, vol. 98(4), pages 1636-1652, September.
    10. Afacan, Mustafa Oğuz & Salman, Umutcan, 2016. "Affirmative actions: The Boston mechanism case," Economics Letters, Elsevier, vol. 141(C), pages 95-97.
    11. Hatfield, John William & Kojima, Fuhito & Narita, Yusuke, 2016. "Improving schools through school choice: A market design approach," Journal of Economic Theory, Elsevier, vol. 166(C), pages 186-211.
    12. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
    13. , Emin & , Bumin & , Ali, 2013. "Effective affirmative action in school choice," Theoretical Economics, Econometric Society, vol. 8(2), May.
    14. Pauline Musset, 2012. "School Choice and Equity: Current Policies in OECD Countries and a Literature Review," OECD Education Working Papers 66, OECD Publishing.
    15. Featherstone, Clayton R. & Niederle, Muriel, 2016. "Boston versus deferred acceptance in an interim setting: An experimental investigation," Games and Economic Behavior, Elsevier, vol. 100(C), pages 353-375.
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    More about this item

    Keywords

    School choice; Immediate acceptance mechanism; Top trading cycles mechanism; Affirmative actions; Large market;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • I20 - Health, Education, and Welfare - - Education - - - General

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