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When is the deferred acceptance mechanism responsive to priority-based affirmative action?

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Listed:
  • Zhenhua Jiao

    (Shanghai University of International Business and Economics)

  • Ziyang Shen

    (Columbia University)

  • Guoqiang Tian

    (Texas A&M University)

Abstract

For school choice with affirmative action, responsiveness is used as a measure of how a matching mechanism performs in terms of a certain type of affirmative action policy. We know that the Deferred Acceptance (DA) mechanism is not responsive to the priority-based affirmative action on the universal domain of school choice problems. As a further study, we show in this paper that, the DA mechanism is responsive to the priority-based affirmative action if and only if the exogenous school choice structure (ESCS), which is given by the set of students, the set of schools, the schools’ capacity profile, and schools’ original priority structure, satisfies an acyclicity condition characterized in this paper. This acyclicity condition is stronger than Doğan’s acyclicity, which is the necessary and sufficient condition for the DA mechanism to be responsive to the reserved-based affirmative action.

Suggested Citation

  • Zhenhua Jiao & Ziyang Shen & Guoqiang Tian, 2022. "When is the deferred acceptance mechanism responsive to priority-based affirmative action?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 257-282, February.
    • Handle: RePEc:spr:sochwe:v:58:y:2022:i:2:d:10.1007_s00355-021-01357-4
    DOI: 10.1007/s00355-021-01357-4
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    Cited by:

    1. Minoru Kitahara & Yasunori Okumura, 2023. "School Choice with Multiple Priorities," Papers 2308.04780, arXiv.org, revised Oct 2023.

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