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Matching with Generalized Sequential Reserves

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  • Orhan Aygun
  • Bertan Turhan

Abstract

This paper introduces a general theory of sequential reserves by formulating a parameterized family of generalized sequential (GS) choice rules for institutions consisting of multiple divisions (or reserve categories). We show that the cumulative offer mechanism (COM) is the unique stable and strategy-proof mechanism when institutions' choice rules are in the GS family. Choice rules in real-life market design applications appear naturally in the GS family. We present two such real-world applications: affirmative action implementations in India and Chinese high school admissions.

Suggested Citation

  • Orhan Aygun & Bertan Turhan, 2023. "Matching with Generalized Sequential Reserves," Papers 2310.02660, arXiv.org, revised Jun 2025.
    • Handle: RePEc:arx:papers:2310.02660
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    File URL: http://arxiv.org/pdf/2310.02660
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    References listed on IDEAS

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    1. Alexander Westkamp, 2013. "An analysis of the German university admissions system," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 561-589, August.
    2. Fragiadakis, Daniel & Troyan, Peter, 2017. "Improving matching under hard distributional constraints," Theoretical Economics, Econometric Society, vol. 12(2), May.
    3. Orhan Aygün & Inácio Bó, 2021. "College Admission with Multidimensional Privileges: The Brazilian Affirmative Action Case," American Economic Journal: Microeconomics, American Economic Association, vol. 13(3), pages 1-28, August.
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    Cited by:

    1. Federico Echenique & Teddy Mekonnen & M. Bumin Yenmez, 2024. "Diversity in Choice as Majorization," Papers 2407.17589, arXiv.org.
    2. Xinquan Hu & Jun Zhang, 2025. "Verifiable affirmative action in Chinese high school admissions," Papers 2504.04689, arXiv.org.

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