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A Measure to Compare Matchings in Marriage Markets

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  • Florian M. Biermann

    (The Hebrew University of Jerusalem)

Abstract

In matching markets the number of blocking pairs is often used as a criterion to compare matchings. We argue that this criterion is lacking an economic interpretation: In many circumstances it will neither reflect the expected extent of partner changes, nor will it capture the satisfaction of the players with the matching. As an alternative, we set up two principles which single out a particularly “disruptive” subcollection of blocking pairs. We propose to take the cardinality of that subset as a measure to compare matchings. This cardinality has an economic interpretation: the subset is a justified objection against the given matching according to a bargaining set characterization of the set of stable matchings. We prove multiple properties relevant for a workable measure of comparison.

Suggested Citation

  • Florian M. Biermann, 2011. "A Measure to Compare Matchings in Marriage Markets," Working Papers 2011.41, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2011.41
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    References listed on IDEAS

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    1. Kimmo Eriksson & Olle Häggström, 2008. "Instability of matchings in decentralized markets with various preference structures," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 409-420, March.
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    14. Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667, Elsevier.
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    Cited by:

    1. Péter Biró & Flip Klijn, 2013. "Matching With Couples: A Multidisciplinary Survey," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-18.
    2. Peter Biro & Elena Iñarra & Elena Molis, 2014. "A new solution for the roommate problem. The Q-stable matchings," ThE Papers 14/04, Department of Economic Theory and Economic History of the University of Granada..
    3. repec:ehu:ikerla:13424 is not listed on IDEAS

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    More about this item

    Keywords

    Stable Marriage Problem; Matching; Blocking Pair; Instability; Matching Comparison; Decentralized Market; Bargaining Set;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General

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