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Matching with Trade-Offs

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  • Alfred Galichon

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

  • Bernard Salanié

Abstract

We investigate in this paper the theory and econometrics of optimal matchings with competing criteria. The surplus from a marriage match, for instance, may depend both on the incomes and on the educations of the partners, as well as on characteristics that the analyst does not observe. The social optimum must therefore trade off matching on incomes and matching on educations. Given a flexible specification of the surplus function, we characterize under mild assumptions the properties of the set of feasible matchings and of the socially optimal matching. Then we show how data on the covariation of the types of the partners in observed matches can be used to estimate the parameters that define social preferences over matches. We provide both nonparametric and parametric procedures that are very easy to use in applications.

Suggested Citation

  • Alfred Galichon & Bernard Salanié, 2010. "Matching with Trade-Offs," Working Papers hal-03596979, HAL.
    • Handle: RePEc:hal:wpaper:hal-03596979
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-03596979
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    References listed on IDEAS

    as
    1. Hausman, Jerry & McFadden, Daniel, 1984. "Specification Tests for the Multinomial Logit Model," Econometrica, Econometric Society, vol. 52(5), pages 1219-1240, September.
    2. Federico Echenique, 2008. "What Matchings Can Be Stable? The Testable Implications of Matching Theory," Mathematics of Operations Research, INFORMS, vol. 33(3), pages 757-768, August.
    3. Chiappori, Pierre-André & Oreffice, Sonia & Quintana-Domeque, Climent, 2009. "Fatter Attraction: Anthropometric and Socioeconomic Characteristics in the Marriage Market," IZA Discussion Papers 4594, Institute of Labor Economics (IZA).
    4. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    5. Jeremy T. Fox, 2010. "Identification in matching games," Quantitative Economics, Econometric Society, vol. 1(2), pages 203-254, November.
    6. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    7. Gunter J. Hitsch & Ali Hortaçsu & Dan Ariely, 2010. "Matching and Sorting in Online Dating," American Economic Review, American Economic Association, vol. 100(1), pages 130-163, March.
    8. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    9. Eugene Choo & Aloysius Siow, 2006. "Who Marries Whom and Why," Journal of Political Economy, University of Chicago Press, vol. 114(1), pages 175-201, February.
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    Cited by:

    1. Wanchuan Lin & Kathryn McEvilly & Juan Pantano, 2016. "Obesity and sex ratios in the U.S," Review of Economics of the Household, Springer, vol. 14(2), pages 269-292, June.
    2. Pasteau, Etienne & Zhu, Junyi, 2018. "Love and money with inheritance: Marital sorting by labor income and inherited wealth in the modern partnership," Discussion Papers 23/2018, Deutsche Bundesbank.

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    Keywords

    Matching; Marriage; Assignement;
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