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Agent Heterogeneity and Learning: An Application to Labor Markets

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Author Info
Simon D Woodcock

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Abstract

I develop a matching model with heterogeneous workers, rms, and worker-firm matches, and apply it to longitudinal linked data on employers and employees. Workers vary in their marginal product when employed and their value of leisure when unemployed. Firms vary in their marginal product and cost of maintaining a vacancy. The marginal product of a worker-firm match also depends on a match-specific interaction between worker and rm that I call match quality. Agents have complete information about worker and rm heterogeneity, and symmetric but incomplete information about match quality. They learn its value slowly by observing production outcomes. There are two key results. First, under a Nash bargain, the equilibrium wage is linear in a person-specific component, a firm-specific component, and the posterior mean of beliefs about match quality. Second, in each period the separation decision depends only on the posterior mean of beliefs and person and rm characteristics. These results have several implications for an empirical model of earnings with person and rm e ects. The rst implies that residuals within a worker-firm match are a martingale; the second implies the distribution of earnings is truncated. I test predictions from the matching model using data from the Longitudinal Employer-Household Dynamics (LEHD) Program at the US Census Bureau. I present both xed and mixed model specifications of the equilibrium wage function, taking account of structural aspects implied by the learning process. In the most general specification, earnings residuals have a completely unstructured covariance within a worker-firm match. I estimate and test a variety of more parsimonious error structures, including the martingale structure implied by the learning process. I nd considerable support for the matching model in these data.

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File URL: http://lehd.did.census.gov/led/library/techpapers/tp-2002-20.pdf
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Paper provided by Longitudinal Employer-Household Dynamics, Center for Economic Studies, U.S. Census Bureau in its series Technical Papers with number 2002-20.

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Length: 74 pages
Date of creation: Oct 2002
Date of revision:
Handle: RePEc:cen:tpaper:2002-20

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Web page: http://lehd.did.census.gov/led/library/techpapers.html

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  1. Harris, Milton & Holstrom, Bengt, 1982. "A Theory of Wage Dynamics," Review of Economic Studies, Blackwell Publishing, vol. 49(3), pages 315-33, July. [Downloadable!] (restricted)
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  2. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
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  3. Farber, Henry S & Gibbons, Robert, 1996. "Learning and Wage Dynamics," The Quarterly Journal of Economics, MIT Press, vol. 111(4), pages 1007-47, November. [Downloadable!] (restricted)
  4. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Econometrica, Econometric Society, vol. 70(6), pages 2295-2350, November. [Downloadable!] (restricted)
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  5. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July. [Downloadable!] (restricted)
  6. John M. Abowd & Robert H. Creecy & Francis Kramarz, 2002. "Computing Person and Firm Effects Using Linked Longitudinal Employer-Employee Data," Technical Papers 2002-06, Longitudinal Employer-Household Dynamics, Center for Economic Studies, U.S. Census Bureau. [Downloadable!]
  7. Burgess, Simon & Lane, Julia & Stevens, David, 2000. "Job Flows, Worker Flows, and Churning," Journal of Labor Economics, University of Chicago Press, vol. 18(3), pages 473-502, July. [Downloadable!] (restricted)
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  8. Katharine G. Abraham & Henry S. Farber, 1987. "Job Duration, Seniority, and Earnings," NBER Working Papers 1819, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. Robert Gibbons & Lawrence F. Katz & Thomas Lemieux & Daniel Parent, 2002. "Comparative Advantage, Learning, and Sectoral Wage Determination," NBER Working Papers 8889, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. Eva Nagypal, 2007. "Learning by Doing vs. Learning About Match Quality: Can We Tell Them Apart?," Review of Economic Studies, Blackwell Publishing, vol. 74(2), pages 537-566, 04. [Downloadable!] (restricted)
  11. James Albrecht & Susan Vroman, 2002. "A Matching Model with Endogenous Skill Requirements," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(1), pages 283-305, February. [Downloadable!] (restricted)
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  12. Stern, Steven, 1990. "The Effects of Firm Optimizing Behaviour in Matching Models," Review of Economic Studies, Blackwell Publishing, vol. 57(4), pages 647-60, October. [Downloadable!] (restricted)
  13. Sattinger, Michael, 1995. "Search and the Efficient Assignment of Workers to Jobs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(2), pages 283-302, May. [Downloadable!] (restricted)
  14. Ann P. Bartel & George J. Borjas, 1981. "Wage Growth and Job Turnover: An Empirical Analysis," NBER Chapters, in: Studies in Labor Markets, pages 65-90 National Bureau of Economic Research, Inc. [Downloadable!]
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  15. Abowd, John M & Card, David, 1989. "On the Covariance Structure of Earnings and Hours Changes," Econometrica, Econometric Society, vol. 57(2), pages 411-45, March. [Downloadable!] (restricted)
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  16. John M. Abowd & Francis Kramarz & David N. Margolis, 1999. "High Wage Workers and High Wage Firms," Econometrica, Econometric Society, vol. 67(2), pages 251-334, March.
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  17. Jovanovic, Boyan, 1979. "Job Matching and the Theory of Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 972-90, October. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. John M. Abowd & Paul A. Lengermann & Kevin L. McKinney, 2002. "The Measurement of Human Capital in the U.S. Economy," Technical Papers 2002-09, Longitudinal Employer-Household Dynamics, Center for Economic Studies, U.S. Census Bureau, revised Mar 2003. [Downloadable!]
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