IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-03596979.html
   My bibliography  Save this paper

Matching with Trade-Offs

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://sciencespo.hal.science/hal-03596979/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    2. Pierre-André Chiappori & Sonia Oreffice & Climent Quintana, 2009. "Fatter Attraction: Anthropometric and Socioeconomic Characteristics in the Marriage Market," Working Papers 2009-34, FEDEA.
    3. Hausman, Jerry & McFadden, Daniel, 1984. "Specification Tests for the Multinomial Logit Model," Econometrica, Econometric Society, vol. 52(5), pages 1219-1240, September.
    4. 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.
    5. 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.
    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. 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..
    8. 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.
    9. Jeremy T. Fox, 2010. "Identification in matching games," Quantitative Economics, Econometric Society, vol. 1(2), pages 203-254, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:hal:spmain:info:hdl:2441/1293p84sf58s482v2dpn0gsd67 is not listed on IDEAS
    2. repec:spo:wpmain:info:hdl:2441/1293p84sf58s482v2dpn0gsd67 is not listed on IDEAS
    3. Alfred Galichon & Bernard Salanié, 2010. "Matching with Trade-Offs," Working Papers hal-03596979, HAL.
    4. Alfred Galichon & Bernard Salanié, 2010. "Matching with Trade-offs: Revealed Preferences over Competiting Characteristics," Working Papers hal-00473173, HAL.
    5. Alfred Galichon & Bernard Salanié, 2022. "Cupid’s Invisible Hand: Social Surplus and Identification in Matching Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(5), pages 2600-2629.
    6. Arnaud Dupuy & Alfred Galichon, 2014. "Personality Traits and the Marriage Market," Journal of Political Economy, University of Chicago Press, vol. 122(6), pages 1271-1319.
    7. Nikhil Agarwal & Eric Budish, 2021. "Market Design," NBER Working Papers 29367, National Bureau of Economic Research, Inc.
    8. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," SciencePo Working papers Main hal-03460155, HAL.
    9. repec:hal:spmain:info:hdl:2441/5kmb4ke32h9ur9159sab6hvkck is not listed on IDEAS
    10. repec:spo:wpmain:info:hdl:2441/3sd5loegec9d3o795888da61tp is not listed on IDEAS
    11. repec:spo:wpmain:info:hdl:2441/5kmb4ke32h9ur9159sab6hvkck is not listed on IDEAS
    12. Bernard Salanié & Alfred Galichon, 2012. "Cupid's Invisible Hand: Social Surplus and Identification in Matching Models," Working Papers hal-01053710, HAL.
    13. Pierre-André Chiappori & Alfred Galichon & Bernard Salanié, 2012. "The Roommate Problem is More Stable than You Think," SciencePo Working papers Main hal-03588302, HAL.
    14. Alfred Galichon & Simon Weber, 2024. "Matching under Imperfectly Transferable Utility," Papers 2403.05222, arXiv.org, revised Oct 2024.
    15. repec:hal:spmain:info:hdl:2441/3sd5loegec9d3o795888da61tp is not listed on IDEAS
    16. Jianfei Cao & Xiaoxia Shi & Matthew Shum, 2019. "On the empirical content of the Beckerian marriage model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(2), pages 349-362, March.
    17. repec:spo:wpmain:info:hdl:2441/7o52iohb7k6srk09mj4j5amb8 is not listed on IDEAS
    18. De Fraja, Gianni & Sákovics, József, 2012. "Exclusive nightclubs and lonely hearts columns: Non-monotone participation in optional intermediation," Journal of Economic Behavior & Organization, Elsevier, vol. 84(2), pages 618-632.
    19. Pierre-André Chiappori & Alfred Galichon & Bernard Salanié, 2012. "The Roommate Problem is More Stable than You Think," Working Papers hal-03588302, HAL.
    20. repec:hal:wpspec:info:hdl:2441/7o52iohb7k6srk09mj4j5amb8 is not listed on IDEAS
    21. Marion Goussé & Nicolas Jacquemet & Jean-Marc Robin, 2016. "Marriage, Labor Supply, and Home Production: A Longitudinal Microeconomic Analysis of Marriage, Intra-Household Bargaining and Time Use Using the BHPS, 1991-2008," Cahiers de recherche 1601, CIRPEE.
    22. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," Working Papers hal-03460155, HAL.
    23. Marion Goussé & Nicolas Jacquemet & Jean‐Marc Robin, 2017. "Marriage, Labor Supply, and Home Production," Econometrica, Econometric Society, vol. 85(6), pages 1873-1919, November.
    24. Arnaud Dupuy & Alfred Galichon, 2012. "Personality traits and the marriage market," SciencePo Working papers hal-01070393, HAL.
    25. Salanié, Bernard & Chiappori, Pierre-André, 2021. "Mating Markets," CEPR Discussion Papers 16041, C.E.P.R. Discussion Papers.
      • Pierre-André Chiappori & Bernard Salanié, 2021. "Mating Markets," Working Papers 2021-016, Human Capital and Economic Opportunity Working Group.
    26. repec:hal:wpspec:info:hdl:2441/5rkqqmvrn4tl22s9mc0c7apsi is not listed on IDEAS
    27. Cheremukhin, Anton & Restrepo-Echavarria, Paulina & Tutino, Antonella, 2020. "Targeted search in matching markets," Journal of Economic Theory, Elsevier, vol. 185(C).
    28. Jeremy T. Fox, 2018. "Estimating matching games with transfers," Quantitative Economics, Econometric Society, vol. 9(1), pages 1-38, March.
    29. Arnaud Dupuy & Alfred Galichon, 2012. "Personality traits and the marriage market," SciencePo Working papers Main hal-01070393, HAL.

    More about this item

    Keywords

    Matching; Marriage; Assignement;
    All these keywords.

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-03596979. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.