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Reducing the role of random numbers in matching algorithms for school admission

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  • Hulsbergen, Wouter

Abstract

New methods for solving the college admissions problem with indifference are presented and characterised with a Monte Carlo simulation in a variety of simple scenarios. Based on a qualifier defined as the average rank, it is found that these methods are more efficient than the Boston and Deferred Acceptance algorithms. The improvement in efficiency is directly related to the reduced role of random tie-breakers. The strategy-proofness of the new methods is assessed as well.

Suggested Citation

  • Hulsbergen, Wouter, 2016. "Reducing the role of random numbers in matching algorithms for school admission," MPRA Paper 70374, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:70374
    as

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    File URL: https://mpra.ub.uni-muenchen.de/70374/1/MPRA_paper_70374.pdf
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    References listed on IDEAS

    as
    1. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the New York City High School Match," NBER Working Papers 14864, National Bureau of Economic Research, Inc.
    2. Atila Abdulkadiroglu & Yeon-Koo Che & Yosuke Yasuda, 2011. "Resolving Conflicting Preferences in School Choice: The "Boston Mechanism" Reconsidered," American Economic Review, American Economic Association, vol. 101(1), pages 399-410, February.
    3. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    4. 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.
    5. Roth, Alvin E & Sotomayor, Marilda, 1989. "The College Admissions Problem Revisited," Econometrica, Econometric Society, vol. 57(3), pages 559-570, May.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    college admission problem; deferred acceptance algorithm; Boston algorithm; Zeeburg algorithm; pairwise exchange algorithm; strategic behaviour;
    All these keywords.

    JEL classification:

    • I2 - Health, Education, and Welfare - - Education

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