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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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    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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