IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v58y2022i2d10.1007_s00355-021-01357-4.html
   My bibliography  Save this article

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

Author

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00355-021-01357-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00355-021-01357-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Caterina Calsamiglia & Guillaume Haeringer & Flip Klijn, 2010. "Constrained School Choice: An Experimental Study," American Economic Review, American Economic Association, vol. 100(4), pages 1860-1874, September.
    2. 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.
    3. Ehlers, Lars & Hafalir, Isa E. & Yenmez, M. Bumin & Yildirim, Muhammed A., 2014. "School choice with controlled choice constraints: Hard bounds versus soft bounds," Journal of Economic Theory, Elsevier, vol. 153(C), pages 648-683.
    4. Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
    5. , Emin & , Bumin & , Ali, 2013. "Effective affirmative action in school choice," Theoretical Economics, Econometric Society, vol. 8(2), May.
    6. Klaus, Bettina & Klijn, Flip, 2013. "Local and global consistency properties for student placement," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 222-229.
    7. Fragiadakis, Daniel & Troyan, Peter, 2017. "Improving matching under hard distributional constraints," Theoretical Economics, Econometric Society, vol. 12(2), May.
    8. Kesten, Onur, 2006. "On two competing mechanisms for priority-based allocation problems," Journal of Economic Theory, Elsevier, vol. 127(1), pages 155-171, March.
    9. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
    10. Haeringer, Guillaume & Klijn, Flip, 2009. "Constrained school choice," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1921-1947, September.
    11. Kojima, Fuhito, 2012. "School choice: Impossibilities for affirmative action," Games and Economic Behavior, Elsevier, vol. 75(2), pages 685-693.
    12. 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.
    13. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
    14. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(3), pages 1297-1348.
    15. Yan Chen & Onur Kesten, 2017. "Chinese College Admissions and School Choice Reforms: A Theoretical Analysis," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 99-139.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Minoru Kitahara & Yasunori Okumura, 2023. "School Choice with Multiple Priorities," Papers 2308.04780, arXiv.org, revised Oct 2024.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tomoeda, Kentaro, 2018. "Finding a stable matching under type-specific minimum quotas," Journal of Economic Theory, Elsevier, vol. 176(C), pages 81-117.
    2. Atila Abdulkadiroglu & Tommy Andersson, 2022. "School Choice," NBER Working Papers 29822, National Bureau of Economic Research, Inc.
    3. Yun Liu, 2017. "On the welfare effects of affirmative actions in school choice," Review of Economic Design, Springer;Society for Economic Design, vol. 21(2), pages 121-151, June.
    4. Umut M. Dur & Scott Duke Kominers & Parag A. Pathak & Tayfun Sönmez, 2013. "The Demise of Walk Zones in Boston: Priorities vs. Precedence in School Choice," NBER Working Papers 18981, National Bureau of Economic Research, Inc.
    5. Kesten, Onur & Kurino, Morimitsu, 2019. "Strategy-proof improvements upon deferred acceptance: A maximal domain for possibility," Games and Economic Behavior, Elsevier, vol. 117(C), pages 120-143.
    6. Eduardo Duque & Juan Pablo Torres-Martinez, 2022. "The Strong Effects of Weak Externalities on School Choice," Working Papers wp542, University of Chile, Department of Economics.
    7. Tayfun Sönmez & M. Bumin Yenmez, 2019. "Constitutional Implementation of Vertical and Horizontal Reservations in India: A Unified Mechanism for Civil Service Allocation and College Admissions," Boston College Working Papers in Economics 978, Boston College Department of Economics.
    8. Fuhito Kojima & M. Ünver, 2014. "The “Boston” school-choice mechanism: an axiomatic approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 515-544, April.
    9. Tayfun Sönmez & M. Utku Ünver, 2022. "How (not) to reform India's affirmative action policies for its economically weaker segments," Boston College Working Papers in Economics 1054, Boston College Department of Economics.
    10. Chen, Yajing & Jiao, Zhenhua & Zhang, Yang & Zhao, Fang, 2021. "Resource allocation on the basis of priorities under multi-unit demand," Economics Letters, Elsevier, vol. 202(C).
    11. Tayfun Sonmez & Utku Unver, 2022. "Informed Neutrality in Minimalist Market Design: A Case Study on a Constitutional Crisis in India," Papers 2210.10166, arXiv.org, revised Jun 2024.
    12. Jiao, Zhenhua & Shen, Ziyang, 2021. "School choice with priority-based affirmative action: A responsive solution," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 1-9.
    13. Chen, Siwei & Heo, Eun Jeong, 2021. "Acyclic priority profiles in school choice: Characterizations," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 22-30.
    14. Aygün, Orhan & Turhan, Bertan, 2021. "How to De-reserve Reserves," ISU General Staff Papers 202103100800001123, Iowa State University, Department of Economics.
    15. Parag A. Pathak & Alex Rees-Jones & Tayfun Sönmez, 2020. "Immigration Lottery Design: Engineered and Coincidental Consequences of H-1B Reforms," NBER Working Papers 26767, National Bureau of Economic Research, Inc.
    16. Battal Doğan & M. Bumin Yenmez, 2023. "When does an additional stage improve welfare in centralized assignment?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1145-1173, November.
    17. Kesten, Onur & Unver, Utku, 2015. "A theory of school choice lotteries," Theoretical Economics, Econometric Society, vol. 10(2), May.
    18. Andrew McLennan & Shino Takayama & Yuki Tamura, 2024. "An Efficient, Computationally Tractable School Choice Mechanism," Discussion Papers Series 668, School of Economics, University of Queensland, Australia.
    19. Tayfun Sonmez & M. Bumin Yenmez, 2022. "Constitutional Implementation of Affirmative Action Policies in India," Papers 2203.01483, arXiv.org, revised Mar 2024.
    20. Avataneo, Michelle & Turhan, Bertan, 2021. "Slot-specific priorities with capacity transfers," Games and Economic Behavior, Elsevier, vol. 129(C), pages 536-548.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sochwe:v:58:y:2022:i:2:d:10.1007_s00355-021-01357-4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.