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Two-Sided Matching with (Almost) One-Sided Preferences

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  • Guillaume Haeringer
  • Vincent Iehlé

Abstract

In a two-sided matching context we show how we can predict stable matchings by considering only one side's preferences and the mutually acceptable pairs of agents. Our methodology consists of identifying impossible matches, i.e., pairs of agents that can never be matched together in a stable matching of any problem consistent with the partial data. We analyze data from the French academic job market for mathematicians and show that the match of about 45 percent of positions (and about 60 percent of candidates) does not depend on the preferences of the hired candidates, unobserved and submitted at the final stage of the market.

Suggested Citation

  • Guillaume Haeringer & Vincent Iehlé, 2019. "Two-Sided Matching with (Almost) One-Sided Preferences," American Economic Journal: Microeconomics, American Economic Association, vol. 11(3), pages 155-190, August.
    • Handle: RePEc:aea:aejmic:v:11:y:2019:i:3:p:155-90
    Note: DOI: 10.1257/mic.20170115
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    References listed on IDEAS

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    1. Roth, Alvin E, 1986. "On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets," Econometrica, Econometric Society, vol. 54(2), pages 425-427, March.
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    3. Itai Ashlagi & Yash Kanoria & Jacob D. Leshno, 2017. "Unbalanced Random Matching Markets: The Stark Effect of Competition," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 69-98.
    4. Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
    5. Martínez, Ruth & Massó, Jordi & Neme, Alejandro & Oviedo, Jorge, 2012. "On the invariance of the set of Core matchings with respect to preference profiles," Games and Economic Behavior, Elsevier, vol. 74(2), pages 588-600.
    6. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
    7. Nikhil Agarwal, 2015. "An Empirical Model of the Medical Match," American Economic Review, American Economic Association, vol. 105(7), pages 1939-1978, July.
    8. Guillaume Haeringer & Vincent Iehlé, 2010. "Enjeux stratégiques du concours de recrutement des enseignants-chercheurs," Revue économique, Presses de Sciences-Po, vol. 61(4), pages 697-721.
    9. Echenique, Federico & Pereyra, Juan Sebastián, 2016. "Strategic complementarities and unraveling in matching markets," Theoretical Economics, Econometric Society, vol. 11(1), January.
    10. Tommy ANDERSSON & Lars EHLERS, 2016. "Assigning Refugees to Landlords in Sweden : Stable Maximum Matchings," Cahiers de recherche 13-2016, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    11. Federico Echenique & Sangmok Lee & Matthew Shum & M. Bumin Yenmez, 2013. "The Revealed Preference Theory of Stable and Extremal Stable Matchings," Econometrica, Econometric Society, vol. 81(1), pages 153-171, January.
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    Cited by:

    1. Hu, Gaoji & Li, Jiangtao & Tang, Rui, 2020. "The revealed preference theory of stable matchings with one-sided preferences," Games and Economic Behavior, Elsevier, vol. 124(C), pages 305-318.
    2. Benoit Decerf & Guillaume Haeringer & Martin Van der Linden, 2024. "Incontestable Assignments," Papers 2401.03598, arXiv.org, revised Feb 2024.
    3. Decerf, Benoit & Van der Linden, Martin, 2021. "Manipulability in school choice," Journal of Economic Theory, Elsevier, vol. 197(C).

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • I23 - Health, Education, and Welfare - - Education - - - Higher Education; Research Institutions
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts
    • J44 - Labor and Demographic Economics - - Particular Labor Markets - - - Professional Labor Markets and Occupations

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