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Firm Productivity, Wages, and Sorting

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  • Benjamin Lochner
  • Bastian Schulz

Abstract

We study the link between firm productivity and the wages that firms pay. Guided by a search-matching model with large firms, worker and firm heterogeneity, and production complementarities, we infer firm productivity by estimating firm-level production functions. Using German data, we find that the most productive firms do not pay the highest wages. Worker transitions from high- to medium-productivity firms are on average associated with wage gains. Productivity sorting—that is, the sorting of high-ability workers into high-productivity firms—is less pronounced than the sorting into high-wage firms.

Suggested Citation

  • Benjamin Lochner & Bastian Schulz, 2024. "Firm Productivity, Wages, and Sorting," Journal of Labor Economics, University of Chicago Press, vol. 42(1), pages 85-119.
    • Handle: RePEc:ucp:jlabec:doi:10.1086/722564
    DOI: 10.1086/722564
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    1. Andrews, M.J. & Gill, L. & Schank, T. & Upward, R., 2012. "High wage workers match with high wage firms: Clear evidence of the effects of limited mobility bias," Economics Letters, Elsevier, vol. 117(3), pages 824-827.
    2. Alfonso Irarrazabal & Andreas Moxnes & Karen Helene Ulltveit-Moe, 2013. "Heterogeneous Firms or Heterogeneous Workers? Implications for Exporter Premiums and the Gains from Trade," The Review of Economics and Statistics, MIT Press, vol. 95(3), pages 839-849, July.
    3. repec:hal:spmain:info:hdl:2441/78hlmdbud88hhp5vbdddivv2hu is not listed on IDEAS
    4. Eric Smith, 1999. "Search, Concave Production, and Optimal Firm Size," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(2), pages 456-471, April.
    5. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
    6. 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.
    7. Luigi Guiso & Luigi Pistaferri & Fabiano Schivardi, 2005. "Insurance within the Firm," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 1054-1087, October.
    8. Cristian Bartolucci & Francesco Devicienti & Ignacio Monzón, 2018. "Identifying Sorting in Practice," American Economic Journal: Applied Economics, American Economic Association, vol. 10(4), pages 408-438, October.
    9. Jeremy Lise & Jean-Marc Robin, 2017. "The Macrodynamics of Sorting between Workers and Firms," American Economic Review, American Economic Association, vol. 107(4), pages 1104-1135, April.
    10. David Card & Ana Rute Cardoso & Joerg Heining & Patrick Kline, 2018. "Firms and Labor Market Inequality: Evidence and Some Theory," Journal of Labor Economics, University of Chicago Press, vol. 36(S1), pages 13-70.
    11. Stüber, Heiko & Seth, Stefan, 2019. "The FDZ sample of the Administrative Wage and Labor Market Flow Panel 1976 - 2014," FDZ Datenreport. Documentation on Labour Market Data 201901_en, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    12. Robert Gibbons & Lawrence Katz, 1992. "Does Unmeasured Ability Explain Inter-Industry Wage Differentials?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 515-535.
    13. Lars A. Stole & Jeffrey Zwiebel, 1996. "Intra-firm Bargaining under Non-binding Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 375-410.
    14. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2016. "Matching, Sorting and Wages," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 63-87, January.
    15. Olley, G Steven & Pakes, Ariel, 1996. "The Dynamics of Productivity in the Telecommunications Equipment Industry," Econometrica, Econometric Society, vol. 64(6), pages 1263-1297, November.
    16. Benjamin Bruns, 2019. "Changes in Workplace Heterogeneity and How They Widen the Gender Wage Gap," American Economic Journal: Applied Economics, American Economic Association, vol. 11(2), pages 74-113, April.
    17. Isaac Sorkin, 2018. "Ranking Firms Using Revealed Preference," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(3), pages 1331-1393.
    18. Pieter A. Gautier & Coen N. Teulings, 2006. "How Large are Search Frictions?," Journal of the European Economic Association, MIT Press, vol. 4(6), pages 1193-1225, December.
    19. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, December.
    20. Bertheau, Antoine & Bunzel, Henning & Vejlin, Rune Majlund, 2020. "Employment Reallocation over the Business Cycle: Evidence from Danish Data," IZA Discussion Papers 13681, Institute of Labor Economics (IZA).
    21. David Autor & David Dorn & Lawrence F. Katz & Christina Patterson & John Van Reenen, 2017. "Concentrating on the Fall of the Labor Share," American Economic Review, American Economic Association, vol. 107(5), pages 180-185, May.
    22. William T. Dickens & Lawrence F. Katz, 1987. "Inter-Industry Wage Differences and Theories of Wage Determination," NBER Working Papers 2271, National Bureau of Economic Research, Inc.
    23. Stéphane Bonhomme & Thibaut Lamadon & Elena Manresa, 2019. "A Distributional Framework for Matched Employer Employee Data," Econometrica, Econometric Society, vol. 87(3), pages 699-739, May.
    24. Christian Dustmann & Johannes Ludsteck & Uta Schönberg, 2009. "Revisiting the German Wage Structure," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(2), pages 843-881.
    25. Bagger, Jesper & Sørensen, Kenneth L. & Vejlin, Rune, 2013. "Wage sorting trends," Economics Letters, Elsevier, vol. 118(1), pages 63-67.
    26. Jeremy T. Fox & Valérie Smeets, 2011. "Does Input Quality Drive Measured Differences In Firm Productivity?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(4), pages 961-989, November.
    27. M. J. Andrews & L. Gill & T. Schank & R. Upward, 2008. "High wage workers and low wage firms: negative assortative matching or limited mobility bias?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(3), pages 673-697, June.
    28. Jeremy Lise & Fabien Postel-Vinay, 2020. "Multidimensional Skills, Sorting, and Human Capital Accumulation," American Economic Review, American Economic Association, vol. 110(8), pages 2328-2376, August.
    29. Alp E. Atakan, 2006. "Assortative Matching with Explicit Search Costs," Econometrica, Econometric Society, vol. 74(3), pages 667-680, May.
    30. repec:spo:wpmain:info:hdl:2441/78hlmdbud88hhp5vbdddivv2hu is not listed on IDEAS
    31. repec:spo:wpmain:info:hdl:2441/2gm7u1h28o97arriihp43sr90l is not listed on IDEAS
    32. David Card & Jörg Heining & Patrick Kline, 2013. "Workplace Heterogeneity and the Rise of West German Wage Inequality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(3), pages 967-1015.
    33. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8grh35j2 is not listed on IDEAS
    34. Rafael Lopes de Melo, 2018. "Firm Wage Differentials and Labor Market Sorting: Reconciling Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 313-346.
    35. 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.
    36. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    37. Patrick Kline & Raffaele Saggio & Mikkel Sølvsten, 2020. "Leave‐Out Estimation of Variance Components," Econometrica, Econometric Society, vol. 88(5), pages 1859-1898, September.
    38. David Card & Ana Rute Cardoso & Patrick Kline, 2016. "Bargaining, Sorting, and the Gender Wage Gap: Quantifying the Impact of Firms on the Relative Pay of Women," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(2), pages 633-686.
    39. 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..
    40. John M. Abowd & Robert H. Creecy & Francis Kramarz, 2002. "Computing Person and Firm Effects Using Linked Longitudinal Employer-Employee Data," Longitudinal Employer-Household Dynamics Technical Papers 2002-06, Center for Economic Studies, U.S. Census Bureau.
    41. Rasmus Lentz & Suphanit Piyapromdee & Jean-Marc Robin, 2018. "On Worker and Firm Heterogeneity in Wages and Employment Mobility: Evidence from Danish Register Data," PIER Discussion Papers 91, Puey Ungphakorn Institute for Economic Research.
    42. repec:spo:wpmain:info:hdl:2441/dc0ckec3fcb29ms985085gkbp is not listed on IDEAS
    43. Ilse Lindenlaub, 2017. "Sorting Multidimensional Types: Theory and Application," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 718-789.
    44. Torben Sørensen & Rune Vejlin, 2013. "The importance of worker, firm and match effects in the formation of wages," Empirical Economics, Springer, vol. 45(1), pages 435-464, August.
    45. Ulrich Doraszelski & Jordi Jaumandreu, 2013. "R&D and Productivity: Estimating Endogenous Productivity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(4), pages 1338-1383.
    46. Wooldridge, Jeffrey M., 2009. "On estimating firm-level production functions using proxy variables to control for unobservables," Economics Letters, Elsevier, vol. 104(3), pages 112-114, September.
    47. Marcus Hagedorn & Tzuo Hann Law & Iourii Manovskii, 2017. "Identifying Equilibrium Models of Labor Market Sorting," Econometrica, Econometric Society, vol. 85, pages 29-65, January.
    48. Lochner, Benjamin & Seth, Stefan & Wolter, Stefanie, 2020. "Decomposing the large firm wage premium in Germany," Economics Letters, Elsevier, vol. 194(C).
    49. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms985085gkbp is not listed on IDEAS
    50. Chad Syverson, 2011. "What Determines Productivity?," Journal of Economic Literature, American Economic Association, vol. 49(2), pages 326-365, June.
    51. John Haltiwanger & Henry Hyatt & Erika McEntarfer, 2018. "Who Moves Up the Job Ladder?," Journal of Labor Economics, University of Chicago Press, vol. 36(S1), pages 301-336.
    52. Pierre Cahuc & Francois Marque & Etienne Wasmer, 2008. "A Theory Of Wages And Labor Demand With Intra-Firm Bargaining And Matching Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(3), pages 943-972, August.
    53. repec:spo:wpmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8grh35j2 is not listed on IDEAS
    54. Daniel A. Ackerberg & Kevin Caves & Garth Frazer, 2015. "Identification Properties of Recent Production Function Estimators," Econometrica, Econometric Society, vol. 83, pages 2411-2451, November.
    55. Benjamin Lochner & Bastian Schulz, 2024. "Firm Productivity, Wages, and Sorting," Journal of Labor Economics, University of Chicago Press, vol. 42(1), pages 85-119.
    56. Amit Gandhi & Salvador Navarro & David A. Rivers, 2020. "On the Identification of Gross Output Production Functions," Journal of Political Economy, University of Chicago Press, vol. 128(8), pages 2973-3016.
    57. Lochner, Benjamin & Seth, Stefan & Wolter, Stefanie, 2020. "Decomposing the large firm wage premium in Germany," Economics Letters, Elsevier, vol. 194(C).
    58. James Levinsohn & Amil Petrin, 2003. "Estimating Production Functions Using Inputs to Control for Unobservables," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 317-341.
    59. repec:hal:spmain:info:hdl:2441/2gm7u1h28o97arriihp43sr90l is not listed on IDEAS
    60. Linda A. Bell & Richard B. Freeman, 1991. "The Causes of Increasing Interindustry Wage Dispersion in the United States," ILR Review, Cornell University, ILR School, vol. 44(2), pages 275-287, January.
    61. Erica L. Groshen, 1991. "Sources of Intra-Industry Wage Dispersion: How Much Do Employers Matter?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 869-884.
    62. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Post-Print hal-03458567, HAL.
    63. Zvi Griliches, 1957. "Specification Bias in Estimates of Production Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 39(1), pages 8-20.
    64. repec:iab:iabfda:201901(en is not listed on IDEAS
    65. Jesper Bagger & Rasmus Lentz, 2019. "An Empirical Model of Wage Dispersion with Sorting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(1), pages 153-190.
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    More about this item

    JEL classification:

    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J40 - Labor and Demographic Economics - - Particular Labor Markets - - - General
    • J62 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Job, Occupational and Intergenerational Mobility; Promotion
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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