[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/red/sed018/856.html
   My bibliography  Save this paper

Identifying Labor Market Sorting with Firm Dynamics

Author

Listed:
  • Andreas Gulyas

    (University of Mannheim)

Abstract
Studying wage inequality requires understanding how workers and firms match. I propose a novel strategy to identify the complementarities in production between unobserved worker and firm attributes, based on the idea that positive (negative) sorting implies that firms upgrade (downgrade) their workforce quality when they grow in size. I use German matched employer-employee data to estimate a search and matching model with worker-firm complementarities, job-to-job transitions, and firm dynamics. The relationship between changes in workforce quality and firm growth rates in the data informs the strength of complementarities in the model. Thus, this strategy bypasses the lack of identification inherent to environments with constant firm types. I find evidence of negative sorting and a significant dampening effect of worker-firm complementarities on wage inequality. Worker and firm heterogeneity, differential bargaining positions, and sorting contribute 71%, 20%, 32% and -23% to wage dispersion, respectively. Reallocating workers across firms to the first-best allocation without mismatch yields an output gain of less than one percent.

Suggested Citation

  • Andreas Gulyas, 2018. "Identifying Labor Market Sorting with Firm Dynamics," 2018 Meeting Papers 856, Society for Economic Dynamics.
    • Handle: RePEc:red:sed018:856
    as

    Download full text from publisher

    File URL: https://red-files-public.s3.amazonaws.com/meetpapers/2018/paper_856.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Klosterhuber, Wolfram & Heining, Jörg & Seth, Stefan, 2013. "Linked-employer-employee-Daten des IAB: LIAB Längsschnittmodell 1993-2010 (LIAB LM 9310)," FDZ Datenreport. Documentation on Labour Market Data 201308_de, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    4. Pierre Cahuc & Fabien Postel-Vinay & Jean-Marc Robin, 2006. "Wage Bargaining with On-the-Job Search: Theory and Evidence," Econometrica, Econometric Society, vol. 74(2), pages 323-364, March.
    5. John M. Abowd & Francis Kramarz & Sébastien Pérez-Duarte & Ian M. Schmutte, 2018. "Sorting Between and Within Industries: A Testable Model of Assortative Matching," Annals of Economics and Statistics, GENES, issue 129, pages 1-32.
    6. Susana Iranzo & Fabiano Schivardi & Elisa Tosetti, 2008. "Skill Dispersion and Firm Productivity: An Analysis with Employer-Employee Matched Data," Journal of Labor Economics, University of Chicago Press, vol. 26(2), pages 247-285, April.
    7. Fabien Postel-Vinay & Hélène Turon, 2010. "On-The-Job Search, Productivity Shocks, And The Individual Earnings Process," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(3), pages 599-629, August.
    8. Monika Merz & Eran Yashiv, 2007. "Labor and the Market Value of the Firm," American Economic Review, American Economic Association, vol. 97(4), pages 1419-1431, September.
    9. Jae Song & David J Price & Fatih Guvenen & Nicholas Bloom & Till von Wachter, 2019. "Firming Up Inequality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(1), pages 1-50.
    10. Ilse Lindenlaub, 2014. "Sorting Multidimensional Types: Theory and Application," 2014 Meeting Papers 979, Society for Economic Dynamics.
    11. Marcus Hagedorn & Tzuo Hann Law & Iourii Manovskii, 2017. "Identifying Equilibrium Models of Labor Market Sorting," Econometrica, Econometric Society, vol. 85, pages 29-65, January.
    12. A. Kerem Co?ar & Nezih Guner & James Tybout, 2016. "Firm Dynamics, Job Turnover, and Wage Distributions in an Open Economy," American Economic Review, American Economic Association, vol. 106(3), pages 625-663, March.
    13. Arash Nekoei & Andrea Weber, 2015. "Recall Expectations and Duration Dependence," American Economic Review, American Economic Association, vol. 105(5), pages 142-146, May.
    14. Philip Jung & Moritz Kuhn, 2014. "Labour Market Institutions and Worker Flows: Comparing Germany and the US," Economic Journal, Royal Economic Society, vol. 124(581), pages 1317-1342, December.
    15. Jan Eeckhout & Philipp Kircher, 2011. "Identifying Sorting--In Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 872-906.
    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.
    17. 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.
    18. Haefke, Christian & Sonntag, Marcus & van Rens, Thijs, 2013. "Wage rigidity and job creation," Journal of Monetary Economics, Elsevier, vol. 60(8), pages 887-899.
    19. Lorenzo Caliendo & Ferdinando Monte & Esteban Rossi-Hansberg, 2015. "The Anatomy of French Production Hierarchies," Journal of Political Economy, University of Chicago Press, vol. 123(4), pages 809-852.
    20. Rasmus Lentz & Dale T. Mortensen, 2008. "An Empirical Model of Growth Through Product Innovation," Econometrica, Econometric Society, vol. 76(6), pages 1317-1373, November.
    21. John M. Abowd (corresponding) & Francis Kramarz, 2004. "Are Good Workers Employed by Good Firms? A Simple Test of Positive Assortative Matching Models," Econometric Society 2004 North American Winter Meetings 385, Econometric Society.
    22. Niklas Engbom & Christian Moser, 2022. "Earnings Inequality and the Minimum Wage: Evidence from Brazil," American Economic Review, American Economic Association, vol. 112(12), pages 3803-3847, December.
    23. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms9850c12h1p is not listed on IDEAS
    24. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2013. "Mismatch, sorting and wage dynamics," IFS Working Papers W13/16, Institute for Fiscal Studies.
    25. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    26. repec:hal:spmain:info:hdl:2441/2fecv0pvng8afbbhqcplt7ihf3 is not listed on IDEAS
    27. 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.
    28. 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.
    29. Robert Shimer, 2006. "On-the-Job Search and Strategic Bargaining," Contributions to Economic Analysis, in: Structural Models of Wage and Employment Dynamics, pages 37-59, Emerald Group Publishing Limited.
    30. Sharon Traiberman, 2017. "Occupations and Import Competition," 2017 Meeting Papers 1237, Society for Economic Dynamics.
    31. 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.
    32. MacLeod, W Bentley & Malcomson, James M, 1993. "Investments, Holdup, and the Form of Market Contracts," American Economic Review, American Economic Association, vol. 83(4), pages 811-837, September.
    33. Steven J. Davis & R. Jason Faberman & John Haltiwanger, 2006. "The Flow Approach to Labor Markets: New Data Sources and Micro-Macro Links," Journal of Economic Perspectives, American Economic Association, vol. 20(3), pages 3-26, Summer.
    34. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8grh35j2 is not listed on IDEAS
    35. 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.
    36. Davis, Steven J. & Faberman, R. Jason & Haltiwanger, John, 2012. "Labor market flows in the cross section and over time," Journal of Monetary Economics, Elsevier, vol. 59(1), pages 1-18.
    37. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Post-Print hal-03458567, HAL.
    38. 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, March.
    39. Jorge Alvarez & Felipe Benguria & Niklas Engbom & Christian Moser, 2018. "Firms and the Decline in Earnings Inequality in Brazil," American Economic Journal: Macroeconomics, American Economic Association, vol. 10(1), pages 149-189, January.
    40. 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..
    41. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    42. Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 1103-1144.
    43. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, September.
    44. Thibaut Lamadon, 2014. "Productivity Shocks, Dynamic Contracts and Income Uncertainty," 2014 Meeting Papers 243, Society for Economic Dynamics.
    45. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms985085gkbp is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Heiland, Inga & Kohler, Wilhelm, 2022. "Heterogeneous workers, trade, and migration," European Economic Review, Elsevier, vol. 144(C).
    2. Bachmann, Rüdiger & Bayer, Christian & Merkl, Christian & Seth, Stefan & Stüber, Heiko & Wellschmied, Felix, 2017. "Worker Churn and Employment Growth at the Establishment Level," IZA Discussion Papers 11063, Institute of Labor Economics (IZA).
    3. Bachmann, Rüdiger & Bayer, Christian & Merkl, Christian & Seth, Stefan & Stüber, Heiko & Wellschmied, Felix, 2021. "Worker churn in the cross section and over time: New evidence from Germany," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 781-797.
    4. Andreas Gulyas & Krzysztof Pytka, 2019. "Understanding the Sources of Earnings Losses After Job Displacement: A Machine-Learning Approach," CRC TR 224 Discussion Paper Series crctr224_2019_131, University of Bonn and University of Mannheim, Germany.
    5. Bachmann, Rüdiger & Bayer, Christian & Merkl, Christian & Seth, Stefan & Stüber, Heiko & Wellschmied, Felix, 2017. "Job and worker flows: New stylized facts for Germany," FAU Discussion Papers in Economics 02/2017, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Benjamin Lochner & Bastian Schulz, 2024. "Firm Productivity, Wages, and Sorting," Journal of Labor Economics, University of Chicago Press, vol. 42(1), pages 85-119.
    2. Benjamin Lochner & Bastian Schulz, 2016. "Labor Market Sorting in Germany," CESifo Working Paper Series 6066, CESifo.
    3. Niklas Engbom & Christian Moser, 2022. "Earnings Inequality and the Minimum Wage: Evidence from Brazil," American Economic Review, American Economic Association, vol. 112(12), pages 3803-3847, December.
    4. 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.
    5. Moser, Christian, 2016. "How Could Wage Inequality Within and Across Enterprises be Reduced?," MPRA Paper 95381, University Library of Munich, Germany.
    6. Katarína Borovičková & Robert Shimer, 2017. "High Wage Workers Work for High Wage Firms," NBER Working Papers 24074, National Bureau of Economic Research, Inc.
    7. 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.
    8. repec:hal:spmain:info:hdl:2441/78hlmdbud88hhp5vbdddivv2hu is not listed on IDEAS
    9. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2016. "Matching, Sorting, and Wages," SciencePo Working papers hal-03392023, HAL.
    10. Rasmus Lentz & Suphanit Piyapromdee & Jean-Marc Robin, 2022. "The Anatomy of Sorting - Evidence from Danish Data," Working Papers hal-03869383, HAL.
    11. repec:spo:wpmain:info:hdl:2441/78hlmdbud88hhp5vbdddivv2hu is not listed on IDEAS
    12. Morchio, Iacopo & Moser, Christian, 2018. "The Gender Pay Gap: Micro Sources and Macro Consequences," MPRA Paper 99276, University Library of Munich, Germany, revised 24 Mar 2020.
    13. Banfi, Stefano & Choi, Sekyu & Villena-Roldán, Benjamín, 2022. "Sorting on-line and on-time," European Economic Review, Elsevier, vol. 146(C).
    14. Christopher Taber & Rune Vejlin, 2020. "Estimation of a Roy/Search/Compensating Differential Model of the Labor Market," Econometrica, Econometric Society, vol. 88(3), pages 1031-1069, May.
    15. 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.
    16. Morchio, Iacopo & Moser, Christian, 2018. "The Gender Pay Gap: Micro Sources and Macro Consequences," MPRA Paper 99276, University Library of Munich, Germany, revised 24 Mar 2020.
    17. Muendler, Marc-Andreas, 2017. "Trade, technology, and prosperity: An account of evidence from a labor-market perspective," WTO Staff Working Papers ERSD-2017-15, World Trade Organization (WTO), Economic Research and Statistics Division.
    18. Winkler, Erwin, 2020. "Diverging paths: Labor reallocation, sorting, and wage inequality," VfS Annual Conference 2020 (Virtual Conference): Gender Economics 224535, Verein für Socialpolitik / German Economic Association.
    19. Torres, Sónia & Portugal, Pedro & Addison, John T. & Guimarães, Paulo, 2018. "The sources of wage variation and the direction of assortative matching: Evidence from a three-way high-dimensional fixed effects regression model," Labour Economics, Elsevier, vol. 54(C), pages 47-60.
    20. Stéphane Bonhomme & Kerstin Holzheu & Thibaut Lamadon & Elena Manresa & Magne Mogstad & Bradley Setzler, 2023. "How Much Should We Trust Estimates of Firm Effects and Worker Sorting?," Journal of Labor Economics, University of Chicago Press, vol. 41(2), pages 291-322.
    21. Kory Kantenga, 2016. "Sorting and Wage Inequality," 2016 Meeting Papers 660, Society for Economic Dynamics.
    22. Victoria Gregory, 2020. "Firms as Learning Environments: Implications for Earnings Dynamics and Job Search," Working Papers 2020-036, Federal Reserve Bank of St. Louis, revised Sep 2023.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:red:sed018:856. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christian Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.