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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, firms, 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 depends on worker and firm marginal productivities, as well as a match-specific interaction between worker and firm that I call match quality. Agents have complete information about worker and firm 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, the optimal separation policy is of the reservation wage type. Specifically, the match persists as long as the posterior mean of beliefs about match quality remains above a threshold value. I show the reservation level of beliefs is linear in person and firm specific components, and monotone in tenure. These theoretical results have several implications for an empirical model of earnings with person and firm effects. The first result implies that residuals within a worker-firm match are a martingale; the second result 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 fixed 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 hypothesis implied by the learning process. I find considerable support for the matching model in these data.

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Publisher Info
Paper provided by Econometric Society in its series Econometric Society 2004 North American Winter Meetings with number 363.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:nawm04:363

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Related research
Keywords: heterogeneity; learning; wages; employment; matching; bayesian learning; mixed model; reml;

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Find related papers by JEL classification:
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
J6 - Labor and Demographic Economics - - Mobility, Unemployment, and Vacancies

References listed on IDEAS
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. 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)
  2. 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)
  3. 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!]
  4. 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)
    Other versions:
  5. Abraham, Katharine G & Farber, Henry S, 1987. "Job Duration, Seniority, and Earnings," American Economic Review, American Economic Association, vol. 77(3), pages 278-97, June. [Downloadable!] (restricted)
    Other versions:
  6. 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)
  7. 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)
    Other versions:
  8. 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)
  9. 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!]
    Other versions:
  10. 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)
    Other versions:
  11. 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.
    Other versions:
  12. 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)
    Other versions:
  13. 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)
    Other versions:
  14. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    Other versions:
  15. 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)
    Other versions:
  16. 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)
    Other versions:
  17. 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)
  18. Benoit Dostie, 2003. "Controlling for Demand Side Factors and Job Matching: Maximum Likelihood Estimates of the Returns to Seniority Using Matched Employer-Employee Data," Cahiers de recherche 03-02, HEC Montréal, Institut d'économie appliquée.
  19. Gautier, Pieter A, 2002. "Unemployment and Search Externalities in a Model with Heterogeneous Jobs and Workers," Economica, London School of Economics and Political Science, vol. 69(273), pages 21-40, February. [Downloadable!] (restricted)
Full references

Cited by:
(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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