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Unified versus divided enrollment in school choice: Improving student welfare in Chicago

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  • Doğan, Battal
  • Yenmez, M. Bumin

Abstract

The Chicago Board of Education is implementing a centralized clearinghouse to assign students to schools since 2018-19 admissions. In this clearinghouse, each student can simultaneously be admitted to a selective and a nonselective school. We study this divided enrollment system and show that an alternative unified enrollment system, which elicits the preferences of students over all schools and assigns each student to only one school, is better for students when choice rules of schools are substitutable. If the choice rule of a school is not substitutable, then there exist student preferences such that at least one student strictly prefers the divided enrollment system to the unified enrollment system. Furthermore, we characterize the sources of inefficiency in the divided enrollment system when choice rules of schools are substitutable.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:gamebe:v:118:y:2019:i:c:p:366-373
    DOI: 10.1016/j.geb.2019.09.010
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    References listed on IDEAS

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    1. Echenique, Federico, 2007. "Counting combinatorial choice rules," Games and Economic Behavior, Elsevier, vol. 58(2), pages 231-245, February.
    2. Wu, Qingyun & Roth, Alvin E., 2018. "The lattice of envy-free matchings," Games and Economic Behavior, Elsevier, vol. 109(C), pages 201-211.
    3. 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.
    4. Vincent Iehlé, 2016. "Gradual College Admisssion," Post-Print halshs-02367006, HAL.
    5. 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.
    6. 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.
    7. Chambers, Christopher P. & Yenmez, M. Bumin, 2018. "A simple characterization of responsive choice," Games and Economic Behavior, Elsevier, vol. 111(C), pages 217-221.
    8. Umut Mert Dur & Parag A. Pathak & Tayfun Sönmez, 2016. "Explicit vs. Statistical Preferential Treatment in Affirmative Action: Theory and Evidence from Chicago’s Exam Schools," Boston College Working Papers in Economics 906, Boston College Department of Economics.
    9. Orhan Ayg?n & Tayfun S?nmez, 2013. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 103(5), pages 2050-2051, August.
    10. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    11. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    12. Ekmekci, Mehmet & Yenmez, M. Bumin, 2019. "Common enrollment in school choice," Theoretical Economics, Econometric Society, vol. 14(4), November.
    13. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
    14. Turhan, Bertan, 2019. "Welfare and incentives in partitioned school choice markets," Games and Economic Behavior, Elsevier, vol. 113(C), pages 199-208.
    15. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(3), pages 1297-1348.
    16. Dur, Umut & Pathak, Parag A. & Sönmez, Tayfun, 2020. "Explicit vs. statistical targeting in affirmative action: Theory and evidence from Chicago's exam schools," Journal of Economic Theory, Elsevier, vol. 187(C).
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    Cited by:

    1. Andersson, Tommy & Dur, Umut & Ertemel, Sinan & Kesten, Onur, 2018. "Sequential School Choice with Public and Private Schools," Working Papers 2018:39, Lund University, Department of Economics, revised 31 Oct 2023.
    2. Haeringer, Guillaume & Iehlé, Vincent, 2021. "Gradual college admission," Journal of Economic Theory, Elsevier, vol. 198(C).
    3. Atila Abdulkadiroglu & Tommy Andersson, 2022. "School Choice," NBER Working Papers 29822, National Bureau of Economic Research, Inc.
    4. Vincent Iehlé, 2016. "Gradual College Admisssion," Post-Print halshs-02367006, HAL.
    5. Battal Doğan & Serhat Doğan & Kemal Yıldız, 2021. "Lexicographic choice under variable capacity constraints," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(1), pages 172-196, February.
    6. Ekmekci, Mehmet & Yenmez, M. Bumin, 2019. "Common enrollment in school choice," Theoretical Economics, Econometric Society, vol. 14(4), November.
    7. 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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