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Identifying Sorting in Practice

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  • Cristian Bartolucci
  • Francesco Devicienti
  • Ignacio Monzón

Abstract

We propose a novel methodology to uncover the sorting pattern in labor markets. We identify the strength of sorting solely from a ranking of firms by profits. To discern the sign of sorting, we build a noisy ranking of workers from wage data. Our test for the sign of sorting is consistent even with noisy worker rankings. We apply our approach to a panel dataset that combines social security earnings records with detailed financial data for firms in the Veneto region of Italy. We find robust evidence of positive sorting. The correlation between worker and firm types is about 52%.

Suggested Citation

  • 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.
    • Handle: RePEc:aea:aejapp:v:10:y:2018:i:4:p:408-38
    Note: DOI: 10.1257/app.20170068
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    as
    1. Costas Meghir & Luigi Pistaferri, 2004. "Income Variance Dynamics and Heterogeneity," Econometrica, Econometric Society, vol. 72(1), pages 1-32, January.
    2. Cristian Bartolucci, 2013. "Gender Wage Gaps Reconsidered: A Structural Approach Using Matched Employer-Employee Data," Journal of Human Resources, University of Wisconsin Press, vol. 48(4), pages 998-1034.
    3. 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.
    4. Edward P. Lazear & Kathryn L. Shaw, 2009. "The Structure of Wages: An International Comparison," NBER Books, National Bureau of Economic Research, Inc, number laze08-1, March.
    5. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    6. Mendes, Rute & van den Berg, Gerard J. & Lindeboom, Maarten, 2010. "An empirical assessment of assortative matching in the labor market," Labour Economics, Elsevier, vol. 17(6), pages 919-929, December.
    7. Arnaud Dupuy & Alfred Galichon, 2014. "Personality Traits and the Marriage Market," Journal of Political Economy, University of Chicago Press, vol. 122(6), pages 1271-1319.
    8. Giuseppe Tattara & Marco Valentini, 2007. "The cyclical behaviour of job and worker flows," Working Papers 2007_16, Department of Economics, University of Venice "Ca' Foscari".
    9. repec:hal:wpspec:info:hdl:2441/6ggbvnr6munghes9od0s108ro is not listed on IDEAS
    10. 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.
    11. 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.
    12. Lazear, Edward P. & Shaw, Kathryn L. (ed.), 2009. "The Structure of Wages," National Bureau of Economic Research Books, University of Chicago Press, edition 2, number 9780226470504, December.
    13. 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.
    14. Lentz, Rasmus, 2010. "Sorting by search intensity," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1436-1452, July.
    15. 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.
    16. 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.
    17. Nicholas Bloom & Mark Schankerman & John Van Reenen, 2013. "Identifying Technology Spillovers and Product Market Rivalry," Econometrica, Econometric Society, vol. 81(4), pages 1347-1393, July.
    18. David Card & Francesco Devicienti & Agata Maida, 2014. "Rent-sharing, Holdup, and Wages: Evidence from Matched Panel Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 84-111.
    19. Nicholas Bloom & John Van Reenen, 2007. "Measuring and Explaining Management Practices Across Firms and Countries," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(4), pages 1351-1408.
    20. 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.
    21. repec:hal:spmain:info:hdl:2441/6ggbvnr6munghes9od0s108ro is not listed on IDEAS
    22. Arnaud Dupuy & Alfred Galichon, 2014. "Personality traits and the marriage market," Post-Print hal-03470458, HAL.
    23. Rasmus Lentz & Jesper Bagger, 2009. "An Empirical Model of Wage Dispersion with Sorting," 2009 Meeting Papers 964, Society for Economic Dynamics.
    24. Luis Garicano & Paul Heaton, 2010. "Information Technology, Organization, and Productivity in the Public Sector: Evidence from Police Departments," Journal of Labor Economics, University of Chicago Press, vol. 28(1), pages 167-201, January.
    25. 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.
    26. Alp E. Atakan, 2006. "Assortative Matching with Explicit Search Costs," Econometrica, Econometric Society, vol. 74(3), pages 667-680, May.
    27. 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.
    28. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8grh35j2 is not listed on IDEAS
    29. 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.
    30. Dell'Aringa, Carlo & Lucifora, Claudio, 1994. "Collective bargaining and relative earnings in Italy," European Journal of Political Economy, Elsevier, vol. 10(4), pages 727-747, December.
    31. Jan Eeckhout & Philipp Kircher, 2010. "Sorting and Decentralized Price Competition," Econometrica, Econometric Society, vol. 78(2), pages 539-574, March.
    32. Chad Syverson, 2011. "What Determines Productivity?," Journal of Economic Literature, American Economic Association, vol. 49(2), pages 326-365, June.
    33. Ilse Lindenlaub, 2014. "Sorting Multidimensional Types: Theory and Application," 2014 Meeting Papers 979, Society for Economic Dynamics.
    34. Cristian Bartolucci & Ignacio Monzon, 2014. "Frictions Lead to Sorting: a Partnership Model with On-the-Match Search," Carlo Alberto Notebooks 385, Collegio Carlo Alberto.
    35. Edward P. Lazear & Kathryn L. Shaw, 2009. "Wage Structure, Raises and Mobility: An Introduction to International Comparisons of the Structure of Wages Within and Across Firms," NBER Chapters, in: The Structure of Wages: An International Comparison, pages 1-57, National Bureau of Economic Research, Inc.
    36. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
    37. Woodcock Simon D, 2010. "Heterogeneity and Learning in Labor Markets," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(1), pages 1-69, September.
    38. 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..
    39. Julie Ann Elston & Laura Rondi, 2006. "Shareholder Protection and the Cost of Capital Empirical Evidence from German and Italian Firms," CERIS Working Paper 200608, CNR-IRCrES Research Institute on Sustainable Economic Growth - Torino (TO) ITALY - former Institute for Economic Research on Firms and Growth - Moncalieri (TO) ITALY.
    40. Chade, Hector, 2006. "Matching with noise and the acceptance curse," Journal of Economic Theory, Elsevier, vol. 129(1), pages 81-113, July.
    41. Casey Ichniowski & Kathryn Shaw, 2003. "Beyond Incentive Pay: Insiders' Estimates of the Value of Complementary Human Resource Management Practices," Journal of Economic Perspectives, American Economic Association, vol. 17(1), pages 155-180, Winter.
    42. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium wage dispersion with worker and employer heterogeneity," Post-Print hal-03587660, HAL.
    43. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Post-Print hal-03458567, HAL.
    44. Lillard, Lee A & Weiss, Yoram, 1979. "Components of Variation in Panel Earnings Data: American Scientists, 1960-70," Econometrica, Econometric Society, vol. 47(2), pages 437-454, March.
    45. repec:hal:spmain:info:hdl:2441/361levbcs399s9oa154em6h9jl is not listed on IDEAS
    46. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms985085gkbp is not listed on IDEAS
    47. Caballero, Ricardo J & Hammour, Mohamad L, 1994. "The Cleansing Effect of Recessions," American Economic Review, American Economic Association, vol. 84(5), pages 1350-1368, December.
    48. Arellano, Manuel, 2003. "Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780199245291.
    49. Giampaolo Arachi & Federico Biagi, 2005. "Taxation, Cost of Capital and Investment: Do Tax Asymmetries Matter?," Giornale degli Economisti, GDE (Giornale degli Economisti e Annali di Economia), Bocconi University, vol. 64(2-3), pages 295-322, November.
    50. Jesper Bagger & Rasmus Lentz, 2014. "An Empirical Model of Wage Dispersion with Sorting," Economics Working Papers 2014-11, Department of Economics and Business Economics, Aarhus University.
    51. Hause, John C, 1980. "The Fine Structure of Earnings and the On-the-Job Training Hypothesis," Econometrica, Econometric Society, vol. 48(4), pages 1013-1029, May.
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    Cited by:

    1. Xiaoming Cai & Pieter Gautier & Ronald Wolthoff, 2021. "Search, Screening and Sorting," Working Papers tecipa-699, University of Toronto, Department of Economics.
    2. Luca Paolo Merlino & Pierpaolo Parrotta & Dario Pozzoli, 2018. "Gender Differences in Sorting," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 57(4), pages 671-709, October.
    3. Alessia Matano & Paolo Naticchioni, 2017. "The Extent of Rent Sharing along the Wage Distribution," British Journal of Industrial Relations, London School of Economics, vol. 55(4), pages 751-777, December.
    4. Gianluca Orefice & Giovanni Peri, 2020. "Immigration and Worker-Firm Matching," Working Papers DT/2020/02, DIAL (Développement, Institutions et Mondialisation).
    5. Colja Schneck, 2021. "Trends in Wage Inequality in the Netherlands," De Economist, Springer, vol. 169(3), pages 253-289, August.
    6. Patrick Kline & Raffaele Saggio & Mikkel Sølvsten, 2020. "Leave‐Out Estimation of Variance Components," Econometrica, Econometric Society, vol. 88(5), pages 1859-1898, September.
    7. Peeters, Thomas & van Ours, Jan C., 2022. "International Assortative Matching in the European Labor Market," IZA Discussion Papers 15521, Institute of Labor Economics (IZA).
    8. Belloc, Filippo, 2022. "Profit sharing and innovation across organizational layers," Journal of Economic Behavior & Organization, Elsevier, vol. 197(C), pages 598-623.
    9. Crane, Leland D. & Hyatt, Henry R. & Murray, Seth M., 2023. "Cyclical labor market sorting," Journal of Econometrics, Elsevier, vol. 233(2), pages 524-543.
    10. Andreas Gulyas, 2018. "Identifying Labor Market Sorting with Firm Dynamics," 2018 Meeting Papers 856, Society for Economic Dynamics.
    11. Alex Xi He & John Kennes & Daniel le Maire, 2018. "Complementarity and Advantage in the Competing Auctions of Skills," Economics Working Papers 2018-10, Department of Economics and Business Economics, Aarhus University.
    12. Toru Kitagawa & Martin Nybom & Jan Stuhler, 2018. "Measurement error and rank correlations," CeMMAP working papers CWP28/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    13. Luca Paolo Merlino & Pierpaolo Parrotta & Dario Pozzoli, 2018. "Gender Differences in Sorting," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 57(4), pages 671-709, October.
    14. Leland Crane & Henry Hyatt & Seth Murray, 2018. "Cyclical Labor Market Sorting," 2018 Meeting Papers 939, Society for Economic Dynamics.
    15. Benjamin Lochner & Bastian Schulz, 2024. "Firm Productivity, Wages, and Sorting," Journal of Labor Economics, University of Chicago Press, vol. 42(1), pages 85-119.
    16. Arellano-Bover, Jaime & Saltiel, Fernando, 2021. "Differences in On-the-Job Learning across Firms," IZA Discussion Papers 14473, Institute of Labor Economics (IZA).
    17. Schulz, Bastian & Lochner, Benjamin, 2016. "Labor Market Sorting in Germany," VfS Annual Conference 2016 (Augsburg): Demographic Change 145902, Verein für Socialpolitik / German Economic Association.
    18. Grinza, Elena & Quatraro, Francesco, 2019. "Workers’ replacements and firms’ innovation dynamics: New evidence from Italian matched longitudinal data," Research Policy, Elsevier, vol. 48(9), pages 1-1.
    19. Philipp Ehrl, 2019. "On The Use Of Firm Fixed Effects As A Productivity Measure For Analyzing Labor Market Matching," Bulletin of Economic Research, Wiley Blackwell, vol. 71(2), pages 195-208, April.
    20. GORYUNOV, Maxim, 2017. "Sorting when firms have size," Economics Working Papers MWP 2017/09, European University Institute.

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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
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts
    • J62 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Job, Occupational and Intergenerational Mobility; Promotion
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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