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Two school systems, one district: What to do when a unified admissions process is impossible

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  • Manjunath, Vikram
  • Turhan, Bertan

Abstract

When groups of schools within a single district run their admission processes independently of one another, the resulting match is often inefficient: many children are left unmatched and seats are left unfilled.

Suggested Citation

  • Manjunath, Vikram & Turhan, Bertan, 2016. "Two school systems, one district: What to do when a unified admissions process is impossible," Games and Economic Behavior, Elsevier, vol. 95(C), pages 25-40.
    • Handle: RePEc:eee:gamebe:v:95:y:2016:i:c:p:25-40
    DOI: 10.1016/j.geb.2015.12.004
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    References listed on IDEAS

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    7. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-Proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match," American Economic Review, American Economic Association, vol. 99(5), pages 1954-1978, December.
    8. Chung-Piaw Teo & Jay Sethuraman, 1998. "The Geometry of Fractional Stable Matchings and Its Applications," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 874-891, November.
    9. Mehmet Ekmekci & M. Bumin Yenmez, "undated". "Integrating Schools for Centralized Admissions," GSIA Working Papers 2014-E20, Carnegie Mellon University, Tepper School of Business.
    10. Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth & Tayfun Sönmez, 2005. "The Boston Public School Match," American Economic Review, American Economic Association, vol. 95(2), pages 368-371, May.
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    13. , Emin & , Bumin & , Ali, 2013. "Effective affirmative action in school choice," Theoretical Economics, Econometric Society, vol. 8(2), May.
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    Cited by:

    1. Thilo Klein & Robert Aue & Josue Ortega, 2020. "School choice with independent versus consolidated districts," Papers 2006.13209, arXiv.org, revised Jul 2024.
    2. 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.
    3. Bykhovskaya, Anna, 2020. "Stability in matching markets with peer effects," Games and Economic Behavior, Elsevier, vol. 122(C), pages 28-54.
    4. Tommy Andersson & Umut Dur & Sinan Ertemel & Onur Kesten, 2024. "Sequential school choice with public and private schools," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(2), pages 231-276, September.
    5. Tetsutaro Hatakeyama, 2023. "When is a sequential school choice system (non-)deficient?," Keio-IES Discussion Paper Series 2023-012, Institute for Economics Studies, Keio University.
    6. 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.
    7. Haeringer, Guillaume & Iehlé, Vincent, 2021. "Gradual college admission," Journal of Economic Theory, Elsevier, vol. 198(C).
    8. Aditya Kuvalekar & Antonio Romero-Medina, 2024. "A fair procedure in a marriage market," Review of Economic Design, Springer;Society for Economic Design, vol. 28(3), pages 533-550, September.
    9. Jiarui Xie, 2024. "Games under the Tiered Deferred Acceptance Mechanism," Papers 2406.00455, arXiv.org, revised Oct 2024.
    10. Atila Abdulkadiroglu & Tommy Andersson, 2022. "School Choice," NBER Working Papers 29822, National Bureau of Economic Research, Inc.
    11. Turhan, Bertan, 2019. "Welfare and incentives in partitioned school choice markets," Games and Economic Behavior, Elsevier, vol. 113(C), pages 199-208.
    12. Hafalir, Isa E. & Kojima, Fuhito & Yenmez, M. Bumin, 2022. "Interdistrict school choice: A theory of student assignment," Journal of Economic Theory, Elsevier, vol. 201(C).
    13. Umut Dur & Onur Kesten, 2019. "Sequential versus simultaneous assignment systems and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 251-283, September.
    14. Mustafa Oğuz Afacan & Inácio Bó & Bertan Turhan, 2023. "Assignment maximization," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 123-138, February.
    15. Vincent Iehlé, 2016. "Gradual College Admisssion," Post-Print halshs-02367006, HAL.
    16. Ortega, Josué, 2018. "Social integration in two-sided matching markets," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 119-126.
    17. Ekmekci, Mehmet & Yenmez, M. Bumin, 2019. "Common enrollment in school choice," Theoretical Economics, Econometric Society, vol. 14(4), November.
    18. Afacan, Mustafa Oğuz & Evdokimov, Piotr & Hakimov, Rustamdjan & Turhan, Bertan, 2022. "Parallel markets in school choice," Games and Economic Behavior, Elsevier, vol. 133(C), pages 181-201.
    19. Battal Dogan & Bumin Yenmez, 2017. "Unified Enrollment in School Choice: How to Improve Student Assignment in Chicago," Cahiers de Recherches Economiques du Département d'économie 17.10, Université de Lausanne, Faculté des HEC, Département d’économie.
    20. Rajnish Kunar & Kriti Manocha & Josue Ortega, 2020. "On the integration of Shapley-Scarf housing markets," Papers 2004.09075, arXiv.org, revised Jan 2022.
    21. Aue, Robert & Klein, Thilo & Ortega, Josué, 2020. "What happens when separate and unequal school districts merge?," ZEW Discussion Papers 20-032, ZEW - Leibniz Centre for European Economic Research.
    22. Tommy Andersson & Lars Ehlers, 2020. "Assigning Refugees to Landlords in Sweden: Efficient, Stable, and Maximum Matchings," Scandinavian Journal of Economics, Wiley Blackwell, vol. 122(3), pages 937-965, July.
    23. Doğan, Battal & Yenmez, M. Bumin, 2019. "Unified versus divided enrollment in school choice: Improving student welfare in Chicago," Games and Economic Behavior, Elsevier, vol. 118(C), pages 366-373.
    24. Kumar, Rajnish & Manocha, Kriti & Ortega, Josué, 2022. "On the integration of Shapley–Scarf markets," Journal of Mathematical Economics, Elsevier, vol. 100(C).

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    More about this item

    Keywords

    School choice; Deferred acceptance; Decentralized matching;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education

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