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Mutually Best Matches

Author

Listed:
  • Hannu Salonen

    (Department of Economics, University of Turku)

  • Mikko A.A. Salonen

    (Helsinki Center of Economic Research (HECER), University of Helsinki)

Abstract

We study iterated formation of mutually best matches (IMB) in college admissions problems. When IMB produces a maximal individually rational matching, the matching has many good properties like Pareto optimality and stability. If preferences satisfy a single peakedness condition, or have a single crossing property, then IMB produces a maximal individually rational matching. These properties guarantee also that the student proposing Deferred Acceptance algorithm (DA) and the Top Trading Cycles algorithm (TTC) produce the same matching as IMB. We compare these results with some well-known results about when DA is Pareto optimal, or when DA and TTC produce the same matching.

Suggested Citation

  • Hannu Salonen & Mikko A.A. Salonen, 2016. "Mutually Best Matches," Discussion Papers 109, Aboa Centre for Economics.
    • Handle: RePEc:tkk:dpaper:dp109
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    References listed on IDEAS

    as
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    Cited by:

    1. Estelle Cantillon & Li Chen & Juan S. Pereyra, 2022. "Respecting priorities versus respecting preferences in school choice: When is there a trade-off?," Papers 2212.02881, arXiv.org, revised Sep 2024.
    2. Karpov, Alexander, 2019. "A necessary and sufficient condition for uniqueness consistency in the stable marriage matching problem," Economics Letters, Elsevier, vol. 178(C), pages 63-65.
    3. Estelle Cantillon & Li Chen & Juan Sebastian Pereyra Barreiro, 2022. "Respecting priorities versus respecting preferences in school choice: When is there a trade-off ?," Working Papers ECARES 2022-39, ULB -- Universite Libre de Bruxelles.

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    More about this item

    Keywords

    Matching; School choice; College admission;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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