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A theory of school choice lotteries

  • Kesten, Onur

    ()

    (Tepper School of Business, Carnegie Mellon University)

  • Ünver, M. Utku

    ()

    (Department of Economics, Boston College)

A new mechanism was introduced in New York City and Boston to assign students to public schools. This mechanism was advocated for its superior fairness property, besides others. We introduce a new framework for school-choice problems and two notions of fairness in lottery design based on ex-ante stability. This framework unifies known many-to-one and one-sided matching models. We show that the NYC/Boston mechanism fails to satisfy these fairness properties. We then propose two new mechanisms, one that is ordinally Pareto-dominant within the class of strongly ex-ante stable mechanisms and one that satisfies ex-ante stability, equal treatment, and constrained ordinal-Pareto-efficiency.

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File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20150543/13036/397
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Article provided by Econometric Society in its journal Theoretical Economics.

Volume (Year): 10 (2015)
Issue (Month): 2 (May)
Pages:

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Handle: RePEc:the:publsh:1558
Contact details of provider: Web page: http://econtheory.org

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  3. Abdulkadiroglu, Atila & Pathak, Parag Abishek & Roth, Alvin E., 2009. "Strategy-Proofness Versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match," Scholarly Articles 11077572, Harvard University Department of Economics.
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  12. EHLERS, Lars, 2006. "Respecting Priorities when Assigning Students to Schools," Cahiers de recherche 04-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  16. Abdulkadiroglu, Atila & Sonmez, Tayfun, 2003. "Ordinal efficiency and dominated sets of assignments," Journal of Economic Theory, Elsevier, vol. 112(1), pages 157-172, September.
  17. Haeringer, Guillaume & Klijn, Flip, 2009. "Constrained school choice," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1921-1947, September.
  18. Kesten, Onur, 2009. "Why do popular mechanisms lack efficiency in random environments?," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2209-2226, September.
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  26. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
  27. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
  28. Katta, Akshay-Kumar & Sethuraman, Jay, 2006. "A solution to the random assignment problem on the full preference domain," Journal of Economic Theory, Elsevier, vol. 131(1), pages 231-250, November.
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  33. Parag A. Pathak & Tayfun Sonmez, 2008. "Leveling the Playing Field: Sincere and Sophisticated Players in the Boston Mechanism," American Economic Review, American Economic Association, vol. 98(4), pages 1636-52, September.
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