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Increasing the representation of a targeted type in a reserve system

Author

Listed:
  • Almeer, Abdullah
  • Dur, Umut
  • Harris, Will
  • Hauser, Greg
  • Phan, William
  • Zhang, Yanning

Abstract

We study the assignment of an object with multiple copies where various numbers can be reserved for some types of individuals. We focus on the reserve system’s ability to increase the representation of a targeted type. We consider a general setting that covers many features considered in the recent literature; in particular, an individual can belong to more than one type and the priorities of individuals may differ across reserved copies. We show how a precedence order can be modified to increase the representation of the targeted type.

Suggested Citation

  • Almeer, Abdullah & Dur, Umut & Harris, Will & Hauser, Greg & Phan, William & Zhang, Yanning, 2024. "Increasing the representation of a targeted type in a reserve system," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 34-41.
    • Handle: RePEc:eee:matsoc:v:129:y:2024:i:c:p:34-41
    DOI: 10.1016/j.mathsocsci.2024.01.008
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    References listed on IDEAS

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    1. Aygün, Orhan & Turhan, Bertan, 2020. "Dynamic reserves in matching markets," Journal of Economic Theory, Elsevier, vol. 188(C).
    2. Tayfun Sönmez & M. Bumin Yenmez, 2019. "Affirmative Action with Overlapping Reserves," Boston College Working Papers in Economics 990, Boston College Department of Economics, revised 15 Jan 2020.
    3. Parag A. Pathak & Tayfun Sönmez & M. Utku Ünver & M. Bumin Yenmez, 2024. "Fair Allocation of Vaccines, Ventilators and Antiviral Treatments: Leaving No Ethical Value Behind in Healthcare Rationing," Management Science, INFORMS, vol. 70(6), pages 3999-4036, June.
    4. Tayfun Sönmez & M. Bumin Yenmez, 2022. "Affirmative Action in India via Vertical, Horizontal, and Overlapping Reservations," Econometrica, Econometric Society, vol. 90(3), pages 1143-1176, May.
    5. Ashutosh Thakur, 2021. "Matching in the Civil Service: A Market Design Approach to Public Administration and Development," ECONtribute Discussion Papers Series 087, University of Bonn and University of Cologne, Germany.
    6. Federico Echenique & M. Bumin Yenmez, 2015. "How to Control Controlled School Choice," American Economic Review, American Economic Association, vol. 105(8), pages 2679-2694, August.
    7. Orhan Aygün & Bertan Turhan, 2017. "Large-Scale Affirmative Action in School Choice: Admissions to IITs in India," American Economic Review, American Economic Association, vol. 107(5), pages 210-213, May.
    8. , Emin & , Bumin & , Ali, 2013. "Effective affirmative action in school choice," Theoretical Economics, Econometric Society, vol. 8(2), May.
    9. Fragiadakis, Daniel & Troyan, Peter, 2017. "Improving matching under hard distributional constraints," Theoretical Economics, Econometric Society, vol. 12(2), May.
    10. Surender Baswana & Partha Pratim Chakrabarti & Sharat Chandran & Yashodhan Kanoria & Utkarsh Patange, 2019. "Centralized Admissions for Engineering Colleges in India," Interfaces, INFORMS, vol. 49(5), pages 338-354, September.
    11. Umut Dur & Scott Duke Kominers & Parag A. Pathak & Tayfun Sönmez, 2018. "Reserve Design: Unintended Consequences and the Demise of Boston’s Walk Zones," Journal of Political Economy, University of Chicago Press, vol. 126(6), pages 2457-2479.
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    Keywords

    Market design; Reserves;

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