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Stability in Weighted College Admissions Problems

Author

Listed:
  • Britta Hoyer

    (Paderborn University)

  • Nadja Stroh-Maraun

    (Paderborn University)

Abstract

There are a number of college admissions problems in which students are heterogeneous according to the space they occupy at the college they are allocated to. To deal with this source of heterogeneity we propose a weighted college admissions problem by assigning each student a so-called weight. The existence of stable matchings is not ensured in weighted college admissions problems. To find a stable matching, if it exists, we propose a new algorithm, the deferred acceptance algorithm with gaps (DAG). It results in stable matchings if existing and cycles otherwise. Moreover, we show how to restore stability.

Suggested Citation

  • Britta Hoyer & Nadja Stroh-Maraun, 2020. "Stability in Weighted College Admissions Problems," Working Papers Dissertations 63, Paderborn University, Faculty of Business Administration and Economics.
    • Handle: RePEc:pdn:dispap:63
    as

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    File URL: http://groups.uni-paderborn.de/wp-wiwi/RePEc/pdf/dispap/DP63.pdf
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Matching; School Choice; College Admissions Problems; Deferred Acceptance Algorithm; Stability; DAG; Gaps;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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