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An Empirical Model of Wage Dispersion with Sorting

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  • Jesper Bagger

    ()
    (Royal Holloway, University of London)

  • Rasmus Lentz

    (University of Wisconsin-Maddison)

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    Abstract

    This paper studies wage dispersion in an equilibrium on-the-job-search model with endogenous search intensity. Workers differ in their permanent skill level and firms differ with respect to productivity. Positive (negative) sorting results if the match production function is supermodular (submodular). The model is estimated on Danish matched employer-employee data. We find evidence of positive assortative matching. In the estimated equilibrium match distribution, the correlation between worker skill and firm productivity is 0.12. The assortative matching has a substantial impact on wage dispersion. We decompose wage variation into four sources: Worker heterogeneity, firm heterogeneity, frictions, and sorting. Worker heterogeneity contributes 51% of the variation, firm heterogeneity contributes 11%, frictions 23%, and finally sorting contributes 15%. We measure the output loss due to mismatch by asking how much greater output would be if the estimated population of matches were perfectly positively assorted. In this case, output would increase by 7.7%.

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    Bibliographic Info

    Paper provided by School of Economics and Management, University of Aarhus in its series Economics Working Papers with number 2014-11.

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    Length: 53
    Date of creation: 01 Apr 2014
    Date of revision:
    Handle: RePEc:aah:aarhec:2014-11

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    Web page: http://www.econ.au.dk/afn/

    Related research

    Keywords: Sorting; Worker heterogeneity; Firm heterogeneity; On-the-job search; Wage dispersion; Matched employer-employee data;

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    References

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Bent Jesper Christensen & Rasmus Lentz & Dale T. Mortensen & George R. Neumann & Axel Werwatz, 2003. "On the Job Search and the Wage Distribution," CAM Working Papers 2004-09, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
    3. Abowd, J.M. & Kramarz, F. & Margolis, D.N., 1995. "High-Wage Workers and High-Wage Firms," Cahiers de recherche 9503, Universite de Montreal, Departement de sciences economiques.
    4. Cahuc, Pierre & Postel-Vinay, Fabien & Robin, Jean-Marc, 2003. "Wage Bargaining with On-The-Job Search: Theory and Evidence," CEPR Discussion Papers 4154, C.E.P.R. Discussion Papers.
    5. Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2b, Massachusetts Institute of Technology (MIT), Department of Economics.
    6. Jesper Bagger & Fran?ois Fontaine & Fabien Postel-Vinay & Jean-Marc Robin, 2014. "Tenure, Experience, Human Capital, and Wages: A Tractable Equilibrium Search Model of Wage Dynamics," American Economic Review, American Economic Association, vol. 104(6), pages 1551-96, June.
    7. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Sciences Po publications info:hdl:2441/c8dmi8nm4pd, Sciences Po.
    8. Jolivet, Gregory & Postel-Vinay, Fabien & Robin, Jean-Marc, 2006. "The empirical content of the job search model: Labor mobility and wage distributions in Europe and the US," European Economic Review, Elsevier, vol. 50(4), pages 877-907, May.
    9. Giovanni L. Violante & Per Krusell & Andreas Hornstein, 2006. "Frictional wage dispersion in search models: a quantitative assessment," Working Paper 06-07, Federal Reserve Bank of Richmond.
    10. Jan Eeckhout & Philipp Kircher, 2011. "Identifying Sorting--In Theory," Review of Economic Studies, Oxford University Press, vol. 78(3), pages 872-906.
    11. Lentz, Rasmus, 2010. "Sorting by search intensity," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1436-1452, July.
    12. Gourieroux, C. & Monfort, A. & Renault, E., 1992. "Indirect Inference," Papers 92.279, Toulouse - GREMAQ.
    13. H. Bunzel & B. J. Christensen & P. Jensen & N. M. Kiefer & L. Korsholm & L. Muus & G. R. Neumann & M. Rosholm, 2001. "Specification and Estimation of Equilibrium Search Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(1), pages 90-126, January.
    14. Postel-Vinay & Robin, 2002. "Equilibrium wage dispersion with worker and employer heterogeneity," Working Papers 155908, Institut National de la Recherche Agronomique, France.
    15. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-73, May.
    16. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-46, July-Aug..
    17. Matthew S. Dey & Christopher J. Flinn, 2005. "An Equilibrium Model of Health Insurance Provision and Wage Determination," Econometrica, Econometric Society, vol. 73(2), pages 571-627, 03.
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