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An Empirical Framework for Matching with Imperfectly Transferable Utility

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  • Alfred Galichon

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

  • Scott Kominers

    (Harvard University)

  • Simon Weber

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

Abstract

We introduce an empirical framework for models of matching with imperfectly transferable utility and unobserved heterogeneity in tastes. Our framework includes as special cases the classic fully- and non-transferable utility models, collective models, and settings with taxes on transfers, deadweight losses, and risk aversion. We characterize equilibrium and conditions for identification, and derive comparative statics.

Suggested Citation

  • Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," Working Papers hal-03460155, HAL.
  • Handle: RePEc:hal:wpaper:hal-03460155
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-03460155
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    1. Ivar Ekeland & James J. Heckman & Lars Nesheim, 2004. "Identification and Estimation of Hedonic Models," Journal of Political Economy, University of Chicago Press, vol. 112(S1), pages 60-109, February.
    2. 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.
    3. Patrick Legros & Andrew F. Newman, 2007. "Beauty Is a Beast, Frog Is a Prince: Assortative Matching with Nontransferabilities," Econometrica, Econometric Society, vol. 75(4), pages 1073-1102, July.
    4. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    5. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    6. Patrick Legros & Andrew Newman, 2007. "Beauty is a beast, frog is a prince :assortative matching in a nontransferable world," ULB Institutional Repository 2013/7022, ULB -- Universite Libre de Bruxelles.
    7. Kaneko, Mamoru, 1982. "The central assignment game and the assignment markets," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 205-232, September.
    8. Alkan, Ahmet & Gale, David, 1990. "The core of the matching game," Games and Economic Behavior, Elsevier, vol. 2(3), pages 203-212, September.
    9. repec:hal:spmain:info:hdl:2441/1293p84sf58s482v2dpn0gsd67 is not listed on IDEAS
    10. repec:dau:papers:123456789/6486 is not listed on IDEAS
    11. Betsey Stevenson & Justin Wolfers, 2006. "Bargaining in the Shadow of the Law: Divorce Laws and Family Distress," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(1), pages 267-288.
    12. Del Boca, Daniela & Flinn, Christopher, 2012. "Endogenous household interaction," Journal of Econometrics, Elsevier, vol. 166(1), pages 49-65.
    13. Browning,Martin & Chiappori,Pierre-André & Weiss,Yoram, 2014. "Economics of the Family," Cambridge Books, Cambridge University Press, number 9780521795395, January.
    14. repec:hal:spmain:info:hdl:2441/5kmb4ke32h9ur9159sab6hvkck is not listed on IDEAS
    15. James J. Heckman & Rosa L. Matzkin & Lars Nesheim, 2010. "Nonparametric Identification and Estimation of Nonadditive Hedonic Models," Econometrica, Econometric Society, vol. 78(5), pages 1569-1591, September.
    16. Jennifer Ward-Batts, 2008. "Out of the Wallet and into the Purse: Using Micro Data to Test Income Pooling," Journal of Human Resources, University of Wisconsin Press, vol. 43(2), pages 325-351.
    17. Dagsvik, John K, 2000. "Aggregation in Matching Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 27-57, February.
    18. Jeremy T. Fox, 2010. "Identification in matching games," Quantitative Economics, Econometric Society, vol. 1(2), pages 203-254, November.
    19. Alfred Galichon & Bernard Salanié, 2010. "Matching with Trade-offs: Revealed Preferences over Competiting Characteristics," Working Papers hal-00473173, HAL.
    20. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    21. Abhijit Banerjee & Esther Duflo & Maitreesh Ghatak & Jeanne Lafortune, 2013. "Marry for What? Caste and Mate Selection in Modern India," American Economic Journal: Microeconomics, American Economic Association, vol. 5(2), pages 33-72, May.
    22. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    23. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," Working Papers hal-03460155, HAL.
    24. Fernández, Raquel & Wong, Joyce Cheng, 2014. "Free to Leave? A Welfare Analysis of Divorce Regimes," CEPR Discussion Papers 10047, C.E.P.R. Discussion Papers.
    25. Eugene Choo & Shannon Seitz & Aloysius Siow, 2008. "The Collective Marriage Matching Model: Identification, Estimation and Testing," Working Papers tecipa-340, University of Toronto, Department of Economics.
    26. Aloysius Siow, 2008. "How does the marriage market clear? An empirical framework," Canadian Journal of Economics, Canadian Economics Association, vol. 41(4), pages 1121-1155, November.
    27. Alkan, Ahmet, 1989. "Existence and computation of matching equilibria," European Journal of Political Economy, Elsevier, vol. 5(2-3), pages 285-296.
    28. 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.
    29. Becker, Gary S & Landes, Elisabeth M & Michael, Robert T, 1977. "An Economic Analysis of Marital Instability," Journal of Political Economy, University of Chicago Press, vol. 85(6), pages 1141-1187, December.
    30. Lundberg, Shelly & Pollak, Robert A, 1993. "Separate Spheres Bargaining and the Marriage Market," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 988-1010, December.
    31. 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.
    32. Arnaud Dupuy & Alfred Galichon, 2014. "Personality traits and the marriage market," Post-Print hal-03470458, HAL.
    33. Nikhil Agarwal, 2015. "An Empirical Model of the Medical Match," American Economic Review, American Economic Association, vol. 105(7), pages 1939-1978, July.
    34. 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..
    35. 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.
    36. Justin Wolfers, 2006. "Did Unilateral Divorce Laws Raise Divorce Rates? A Reconciliation and New Results," American Economic Review, American Economic Association, vol. 96(5), pages 1802-1820, December.
    37. Pierre-Andre Chiappori & Bernard Fortin & Guy Lacroix, 2002. "Marriage Market, Divorce Legislation, and Household Labor Supply," Journal of Political Economy, University of Chicago Press, vol. 110(1), pages 37-72, February.
    38. Shelly J. Lundberg & Robert A. Pollak & Terence J. Wales, 1997. "Do Husbands and Wives Pool Their Resources? Evidence from the United Kingdom Child Benefit," Journal of Human Resources, University of Wisconsin Press, vol. 32(3), pages 463-480.
    39. repec:hal:spmain:info:hdl:2441/361levbcs399s9oa154em6h9jl is not listed on IDEAS
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    Cited by:

    1. Alfred Galichon & Scott Kominers & Simon Weber, 2015. "The Nonlinear Bernstein-Schrödinger Equation in Economics," SciencePo Working papers Main hal-03393000, HAL.
    2. Safoura Moeeni, 2021. "Married women’s labor force participation and intra-household bargaining power," Empirical Economics, Springer, vol. 60(3), pages 1411-1448, March.
    3. repec:hal:spmain:info:hdl:2441/5kmb4ke32h9ur9159sab6hvkck is not listed on IDEAS
    4. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," SciencePo Working papers Main hal-03460155, HAL.
    5. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," Working Papers hal-03460155, HAL.

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    More about this item

    Keywords

    Sorting; Matching; Marriage Market; Becker-Coase Theorem; Intrahousehold Allocation; Imperfectly Transferable Utility;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D3 - Microeconomics - - Distribution
    • J21 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Force and Employment, Size, and Structure
    • J23 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Demand
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts

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