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Measuring the External Stability of the One-to-One Matching Generated by the Deferred Acceptance Algorithm

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  • Saglam, Ismail

Abstract

In this paper, we consider a one-to-one matching model where the population expands with the arrival of a man and a woman. Individuals in this population are matched, before and after the expansion, according to a version of the deferred acceptance algorithm (Gale and Shapley, 1962) where men propose and women reject or (tentatively or permanently) accept. Using computer simulations of this model, we study how the percentage of matches disrupted (undisrupted) with the expansion of the population is affected when the initial size of the population and the size of correlation in the preferences of individuals change.

Suggested Citation

  • Saglam, Ismail, 2019. "Measuring the External Stability of the One-to-One Matching Generated by the Deferred Acceptance Algorithm," MPRA Paper 91472, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:91472
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    References listed on IDEAS

    as
    1. Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth, 2005. "The New York City High School Match," American Economic Review, American Economic Association, vol. 95(2), pages 364-367, May.
    2. Ismail Saglam, 2021. "The Success of the Deferred Acceptance Algorithm Under Heterogenous Preferences with Endogenous Aspirations," Computational Economics, Springer;Society for Computational Economics, vol. 57(2), pages 577-591, February.
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    9. Saglam, Ismail, 2017. "Simulating the Mutual Sequential Mate Search Model under Non-homogenous Preferences," MPRA Paper 80522, University Library of Munich, Germany.
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    More about this item

    Keywords

    One-to-one matching; deferred acceptance; stability; external stability;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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