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Outcome equivalence in school choice with reciprocal preferences

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  • Haake, Claus-Jochen
  • Stroh-Maraun, Nadja

Abstract

We show that modifications of the Boston school choice mechanism, the student proposing deferred acceptance algorithm and the top trading cycles algorithm where the colleges’ priorities are adjusted according to students’ preferences in a “first preferences first” manner generate the same outcome. This outcome coincides with the BM outcome under original priorities. As a result, the question which of the three algorithms is chosen becomes immaterial.

Suggested Citation

  • Haake, Claus-Jochen & Stroh-Maraun, Nadja, 2018. "Outcome equivalence in school choice with reciprocal preferences," Economics Letters, Elsevier, vol. 170(C), pages 39-41.
    • Handle: RePEc:eee:ecolet:v:170:y:2018:i:c:p:39-41
    DOI: 10.1016/j.econlet.2018.05.033
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    References listed on IDEAS

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    1. Ergin, Haluk & Sonmez, Tayfun, 2006. "Games of school choice under the Boston mechanism," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 215-237, January.
    2. Parag A. Pathak & Tayfun Sönmez, 2013. "School Admissions Reform in Chicago and England: Comparing Mechanisms by Their Vulnerability to Manipulation," American Economic Review, American Economic Association, vol. 103(1), pages 80-106, February.
    3. 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.
    4. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
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    Cited by:

    1. Nadja Stroh-Maraun, 2020. "Pareto Efficiency in Weighted School Choice Problems," Working Papers Dissertations 64, Paderborn University, Faculty of Business Administration and Economics.

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    More about this item

    Keywords

    School choice; Boston mechanism; Deferred acceptance algorithm; Top trading cycles; Manipulability;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • I20 - Health, Education, and Welfare - - Education - - - General

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