IDEAS home Printed from https://ideas.repec.org/p/red/sed012/566.html
   My bibliography  Save this paper

Estimation of a Roy/Search/Compensating Differential Model of the Labor Market

Author

Listed:
  • Christopher Taber

    (University of Wisconsin-Madison)

  • Rune Vejlin

    (Aarhus University)

Abstract

The four most important models of post-schooling wage determination in economics are almost certainly human capital, the Roy model, the compensating differentials model, and the search model. All four lead to wage heterogeneity. While separating human capital accumulation from the others is quite common, we know remarkably little about the relative importance of the other three sources of inequality. The key aspect of the Roy model is comparative advantage in which some workers earn more than others as a result of different skill levels at labor market entry. Workers choose the job for which they achieve the highest level of earnings. By contrast, in a compensating wage differentials model a worker is willing to be paid less in order to work on a job that they enjoy more. Thus, workers with identical talent can earn different salaries. Finally, workers may have had poor luck in finding their ideal job. This type of search friction can also lead to heterogeneity in earnings as some workers may work for higher wage firms. In short, one worker may earn more than another a) because he has more talent at labor market entry (Roy Model), b) because he has accu- mulated more human capital while working (human capital), c) because he has chosen more unpleasant job (compensating differentials), or d) because he has had better luck in finding a good job (search frictions). The goal of this work is to uncover the contribution of these different components to overall earnings inequality.

Suggested Citation

  • Christopher Taber & Rune Vejlin, 2012. "Estimation of a Roy/Search/Compensating Differential Model of the Labor Market," 2012 Meeting Papers 566, Society for Economic Dynamics.
  • Handle: RePEc:red:sed012:566
    as

    Download full text from publisher

    File URL: https://economicdynamics.org/meetpapers/2012/paper_566.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Cynthia L. Doniger, 2015. "Wage Dispersion with Heterogeneous Wage Contracts," Finance and Economics Discussion Series 2015-23, Board of Governors of the Federal Reserve System (U.S.).
    3. Heckman, James & Singer, Burton, 1984. "A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data," Econometrica, Econometric Society, vol. 52(2), pages 271-320, March.
    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.
    5. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2013. "Mismatch, sorting and wage dynamics," IFS Working Papers W13/16, Institute for Fiscal Studies.
    6. David Card & Jörg Heining & Patrick Kline, 2013. "Workplace Heterogeneity and the Rise of West German Wage Inequality," The Quarterly Journal of Economics, Oxford University Press, vol. 128(3), pages 967-1015.
    7. 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.
    8. Jesper Bagger & Fran?ois Fontaine & Fabien Postel-Vinay & Jean-Marc Robin, 2014. "Tenure, Experience, Human Capital, and Wages: A Tractable Equilibrium Search Model of Wage Dynamics," American Economic Review, American Economic Association, vol. 104(6), pages 1551-1596, June.
    9. Gourieroux, C & Monfort, A & Renault, E, 1993. "Indirect Inference," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages 85-118, Suppl. De.
    10. Eckstein, Zvi & van den Berg, Gerard J., 2007. "Empirical labor search: A survey," Journal of Econometrics, Elsevier, vol. 136(2), pages 531-564, February.
    11. 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.
    12. Jean‐Marc Robin, 2011. "On the Dynamics of Unemployment and Wage Distributions," Econometrica, Econometric Society, vol. 79(5), pages 1327-1355, September.
    13. Ken Burdett & Melvyn Coles, 2003. "Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 71(5), pages 1377-1404, September.
    14. Emmanuele Bobbio & Henning Bunzel, 2018. "The Danish Matched Employer-Employee Data," Economics Working Papers 2018-03, Department of Economics and Business Economics, Aarhus University.
    15. Andreas Hornstein & Per Krusell & Giovanni L. Violante, 2011. "Frictional Wage Dispersion in Search Models: A Quantitative Assessment," American Economic Review, American Economic Association, vol. 101(7), pages 2873-2898, December.
    16. Jovanovic, Boyan, 1979. "Job Matching and the Theory of Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 972-990, October.
    17. Christian M. Dahl & Daniel le Maire & Jakob R. Munch, 2013. "Wage Dispersion and Decentralization of Wage Bargaining," Journal of Labor Economics, University of Chicago Press, vol. 31(3), pages 501-533.
    18. 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, revised Aug 2018.
    19. 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.
    20. Heckman, James J. & Lochner, Lance J. & Todd, Petra E., 2006. "Earnings Functions, Rates of Return and Treatment Effects: The Mincer Equation and Beyond," Handbook of the Economics of Education, in: Erik Hanushek & F. Welch (ed.), Handbook of the Economics of Education, edition 1, volume 1, chapter 7, pages 307-458, Elsevier.
    21. Mark Huggett & Gustavo Ventura & Amir Yaron, 2011. "Sources of Lifetime Inequality," American Economic Review, American Economic Association, vol. 101(7), pages 2923-2954, December.
    22. Marcus Hagedorn & Tzuo Hann Law & Iourii Manovskii, 2017. "Identifying Equilibrium Models of Labor Market Sorting," Econometrica, Econometric Society, vol. 85, pages 29-65, January.
    23. Isaac Sorkin, 2018. "Ranking Firms Using Revealed Preference," The Quarterly Journal of Economics, Oxford University Press, vol. 133(3), pages 1331-1393.
    24. Heckman, James J & Honore, Bo E, 1990. "The Empirical Content of the Roy Model," Econometrica, Econometric Society, vol. 58(5), pages 1121-1149, September.
    25. Paul Sullivan, 2010. "A Dynamic Analysis Of Educational Attainment, Occupational Choices, And Job Search," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(1), pages 289-317, February.
    26. Christian Giødesen Lund & Rune Vejlin, 2015. "Documenting and Improving the Hourly Wage Measure in the Danish IDA Database," Economics Working Papers 2015-06, Department of Economics and Business Economics, Aarhus University.
    27. 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, Oxford University Press, vol. 131(2), pages 633-686.
    28. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09j003nctkn is not listed on IDEAS
    29. Keane, Michael P & Wolpin, Kenneth I, 1997. "The Career Decisions of Young Men," Journal of Political Economy, University of Chicago Press, vol. 105(3), pages 473-522, June.
    30. Fabien Postel-Vinay & Jean-Marc Robin, 2004. "To Match or Not to Match? Optimal Wage Policy With Endogenous Worker Search Intensity," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 297-330, April.
    31. Topel, Robert H, 1991. "Specific Capital, Mobility, and Wages: Wages Rise with Job Seniority," Journal of Political Economy, University of Chicago Press, vol. 99(1), pages 145-176, February.
    32. Joseph G. Altonji & Robert A. Shakotko, 1987. "Do Wages Rise with Job Seniority?," Review of Economic Studies, Oxford University Press, vol. 54(3), pages 437-459.
    33. 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.
    34. Lentz, Rasmus, 2010. "Sorting by search intensity," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1436-1452, July.
    35. 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.
    36. 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.
    37. Robert E. Hall & Alan B. Krueger, 2012. "Evidence on the Incidence of Wage Posting, Wage Bargaining, and On-the-Job Search," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(4), pages 56-67, October.
    38. Isaiah Andrews & Matthew Gentzkow & Jesse M. Shapiro, 2017. "Measuring the Sensitivity of Parameter Estimates to Estimation Moments," The Quarterly Journal of Economics, Oxford University Press, vol. 132(4), pages 1553-1592.
    39. Carl Sanders & Christopher Taber, 2012. "Life-Cycle Wage Growth and Heterogeneous Human Capital," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 399-425, July.
    40. Dey, Matthew & Flinn, Christopher, 2008. "Household search and health insurance coverage," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 43-63, July.
    41. A. D. Roy, 1951. "Some Thoughts On The Distribution Of Earnings," Oxford Economic Papers, Oxford University Press, vol. 3(2), pages 135-146.
    42. Gadi Barlevy, 2008. "Identification of Search Models using Record Statistics," Review of Economic Studies, Oxford University Press, vol. 75(1), pages 29-64.
    43. Heckman, James J, 1990. "Varieties of Selection Bias," American Economic Review, American Economic Association, vol. 80(2), pages 313-318, May.
    44. Flinn, C. & Heckman, J., 1982. "New methods for analyzing structural models of labor force dynamics," Journal of Econometrics, Elsevier, vol. 18(1), pages 115-168, January.
    45. Ernesto Villanueva, 2007. "Estimating Compensating Wage Differentials Using Voluntary Job Changes: Evidence from Germany," ILR Review, Cornell University, ILR School, vol. 60(4), pages 544-561, July.
    46. Paul Sullivan & Ted To, 2014. "Search and Nonwage Job Characteristics," Journal of Human Resources, University of Wisconsin Press, vol. 49(2), pages 472-507.
    47. Heckman, James J & Sedlacek, Guilherme, 1985. "Heterogeneity, Aggregation, and Market Wage Functions: An Empirical Model of Self-selection in the Labor Market," Journal of Political Economy, University of Chicago Press, vol. 93(6), pages 1077-1125, December.
    48. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-273, May.
    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. Hugo Jales & Zhengfei Yu, 2020. "Labor Market Policies in a Roy-Rosen Bargaining Economy," Center for Policy Research Working Papers 231, Center for Policy Research, Maxwell School, Syracuse University.
    2. Alexandre Mas & Amanda Pallais, 2017. "Valuing Alternative Work Arrangements," American Economic Review, American Economic Association, vol. 107(12), pages 3722-3759, December.
    3. Ralph Stinebrickner & Todd Stinebrickner & Paul Sullivan, 2019. "Job Tasks, Time Allocation, and Wages," Journal of Labor Economics, University of Chicago Press, vol. 37(2), pages 399-433.
    4. Clement Joubert, 2011. "Pension design with a large informal labor market: evidence from Chile," 2011 Meeting Papers 1136, Society for Economic Dynamics.
    5. Isaac Sorkin, 2018. "Ranking Firms Using Revealed Preference," The Quarterly Journal of Economics, Oxford University Press, vol. 133(3), pages 1331-1393.
    6. Christian Giødesen Lund & Rune Vejlin, 2015. "Documenting and Improving the Hourly Wage Measure in the Danish IDA Database," Economics Working Papers 2015-06, Department of Economics and Business Economics, Aarhus University.
    7. Haoran He & David Neumark & Qian Weng, 2019. "Do Workers Value Flexible Jobs? A Field Experiment," NBER Working Papers 25423, National Bureau of Economic Research, Inc.
    8. 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.
    9. Haoran He & David Neumark & Qian Weng, 2019. "Do Workers Value Flexible Jobs? A Field Experiment on Compensating Differentials," Natural Field Experiments 00667, The Field Experiments Website.
    10. José Pulido & Tomasz Swiecki, 2019. "Barriers to Mobility or Sorting? Sources and Aggregate Implications of Income Gaps across Sectors and Locations in Indonesia," 2019 Meeting Papers 1298, Society for Economic Dynamics.
    11. 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.
    12. Vejlin, Rune Majlund & Veramendi, Gregory, 2019. "Sufficient Statistics for Frictional Wage Dispersion and Growth," IZA Discussion Papers 12387, Institute of Labor Economics (IZA).
    13. Rune Vejlin, 2013. "Residential Location, Job Location, and Wages: Theory and Empirics," LABOUR, CEIS, vol. 27(2), pages 115-139, June.
    14. Kumar, Krishna B. & Mahmud, Minhaj & Nataraj, Shanthi & Cho, Yoon Y., 2019. "Employer and Employee Preferences for Worker Benefits: Evidence from a Matched Survey on the Bangladesh Informal Sector," IZA Discussion Papers 12064, Institute of Labor Economics (IZA).
    15. Carpenter, Jeffrey & Hans Matthews, Peter & Robbett, Andrea, 2017. "Compensating differentials in experimental labor markets," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 69(C), pages 50-60.
    16. Magnac, Thierry & Roux, Sébastien, 2021. "Heterogeneity and wage inequalities over the life cycle," European Economic Review, Elsevier, vol. 134(C).
    17. Jinkins, David & Morin, Annaïg, 2018. "Job-to-job transitions, sorting, and wage growth," Labour Economics, Elsevier, vol. 55(C), pages 300-327.
    18. Minhaj Mahmud & Italo A. Gutierrez & Krishna B. Kumar & Shanthi Nataraj, 2017. "What Aspects of Formality Do Workers Value? Evidence from a Choice Experiment in Bangladesh," Working Papers WR-1197, RAND Corporation.
    19. Ransom, Tyler, 2019. "Labor Market Frictions and Moving Costs of the Employed and Unemployed," IZA Discussion Papers 12139, Institute of Labor Economics (IZA).
    20. Emmanuele Bobbio & Henning Bunzel, 2018. "The Danish Matched Employer-Employee Data," Economics Working Papers 2018-03, Department of Economics and Business Economics, Aarhus University.
    21. Ismail Baydur & Toshihiko Mukoyama, 2020. "Job Duration and Match Characteristics over the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 37, pages 33-53, July.

    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. 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.
    2. Andreas Hornstein & Per Krusell & Giovanni L. Violante, 2011. "Frictional Wage Dispersion in Search Models: A Quantitative Assessment," American Economic Review, American Economic Association, vol. 101(7), pages 2873-2898, December.
    3. Shintaro Yamaguchi, 2010. "Job Search, Bargaining, and Wage Dynamics," Journal of Labor Economics, University of Chicago Press, vol. 28(3), pages 595-631, July.
    4. Keane, Michael P. & Todd, Petra E. & Wolpin, Kenneth I., 2011. "The Structural Estimation of Behavioral Models: Discrete Choice Dynamic Programming Methods and Applications," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 4, pages 331-461, Elsevier.
    5. Lochner, Benjamin & Schulz, Bastian, 2020. "Firm productivity, wages, and sorting," IAB Discussion Paper 202004, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    6. Jesper Bagger & Fran?ois Fontaine & Fabien Postel-Vinay & Jean-Marc Robin, 2014. "Tenure, Experience, Human Capital, and Wages: A Tractable Equilibrium Search Model of Wage Dynamics," American Economic Review, American Economic Association, vol. 104(6), pages 1551-1596, June.
    7. Christian Moser & Niklas Engbom, 2016. "Earnings Inequality and the Minimum Wage: Evidence from Brazil," 2016 Meeting Papers 72, Society for Economic Dynamics.
    8. Rasmus Lentz & Jesper Bagger, 2009. "An Empirical Model of Wage Dispersion with Sorting," 2009 Meeting Papers 964, Society for Economic Dynamics.
    9. 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.
    10. Manuel Macera & Hitoshi Tsujiyama, 2018. "Frictional Labor Markets, Education Choices and Wage Inequality," 2018 Meeting Papers 827, Society for Economic Dynamics.
    11. Fatih Karahan & Serdar Ozkan & Jae Song, 2019. "Anatomy of Lifetime Earnings Inequality: Heterogeneity in Job Ladder Risk vs. Human Capital," Staff Reports 908, Federal Reserve Bank of New York.
    12. 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.
    13. Carl Sanders & Christopher Taber, 2012. "Life-Cycle Wage Growth and Heterogeneous Human Capital," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 399-425, July.
    14. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2013. "Mismatch, Sorting and Wages Dynamics," Sciences Po publications info:hdl:2441/32h1padvln8, Sciences Po.
    15. Kenneth Burdett & Carlos Carrillo‐Tudela & Melvyn G. Coles, 2011. "Human Capital Accumulation And Labor Market Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(3), pages 657-677, August.
    16. Rasmus Lentz, 2014. "Optimal Employment Contracts with Hidden Search," NBER Working Papers 19988, National Bureau of Economic Research, Inc.
    17. repec:spo:wpecon:info:hdl:2441/6ggbvnr6munghes9od0s108ro is not listed on IDEAS
    18. Julien Prat, 2010. "The rate of learning-by-doing: estimates from a search-matching model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(6), pages 929-962.
    19. Simon Jäger & Benjamin Schoefer & Samuel Young & Josef Zweimüller, 2018. "Wages and the Value of Nonemployment," CESifo Working Paper Series 7342, CESifo.
    20. Simon Jäger & Benjamin Schoefer & Samuel Young & Josef Zweimüller, 2020. "Wages and the Value of Nonemployment," The Quarterly Journal of Economics, Oxford University Press, vol. 135(4), pages 1905-1963.
    21. Matteo Bobba & Luca Flabbi & Santiago Levy & Mauricio Tejada, 2019. "Labor Market Search, Informality, and On-The-Job Human Capital Accumulation," ILADES-UAH Working Papers inv326, Universidad Alberto Hurtado/School of Economics and Business.

    More about this item

    JEL classification:

    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J32 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Nonwage Labor Costs and Benefits; Retirement Plans; Private Pensions
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

    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:sed012:566. See general information about how to correct material in RePEc.

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

    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 hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.