IDEAS home Printed from https://ideas.repec.org/a/red/issued/20-509.html
   My bibliography  Save this article

Wage Dispersion with Heterogeneous Wage Contracts

Author

Listed:
  • Cynthia Doniger

    (Board of Governors)

Abstract

I study a labor market in which identical workers search on- and off-the-job and heterogeneous firms employ using either an ex-ante posted wage or flexible wage contracts contingent on outside options. Firm level costs for contingent contracts generate a segmented equilibrium in which less productive firms post wages. The model with heterogeneous contracts can achieve wage dispersion, labor share, employment transitions, and flow value of unemployment that are simultaneously consistent with empirical observations while capturing information frictions and search externalities modeled by ex-ante wage posting. In contrast to well known results regarding pure wage posting models, a good fit to these data can be achieved even when the vast majority of firms post wages. Matching to moments for the U.S. economy in the 2010s implies roughly 58 percent of firms post wages and employ nearly 30 percent of workers under such contracts. (Copyright: Elsevier)

Suggested Citation

  • Cynthia Doniger, 2023. "Wage Dispersion with Heterogeneous Wage Contracts," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 138-160, December.
  • Handle: RePEc:red:issued:20-509
    DOI: 10.1016/j.red.2022.12.003
    as

    Download full text from publisher

    File URL: https://dx.doi.org/10.1016/j.red.2022.12.003
    Download Restriction: Access to full texts is restricted to ScienceDirect subscribers and institutional members. See https://www.sciencedirect.com/ for details.

    File URL: https://libkey.io/10.1016/j.red.2022.12.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Pierre Cahuc & Fabien Postel-Vinay & Jean-Marc Robin, 2006. "Wage bargaining with on-the-job search: theory and evidence," SciencePo Working papers Main hal-03471856, HAL.
    2. Brenzel, Hanna & Gartner, Hermann & Schnabel, Claus, 2014. "Wage bargaining or wage posting? Evidence from the employers' side," Labour Economics, Elsevier, vol. 29(C), pages 41-48.
    3. Bontemps, Christian & Robin, Jean-Marc & van den Berg, Gerard J, 2000. "Equilibrium Search with Continuous Productivity Dispersion: Theory and Nonparametric Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 305-358, May.
    4. R. Jason Faberman & Andreas I. Mueller & Ayşegül Şahin & Giorgio Topa, 2022. "Job Search Behavior Among the Employed and Non‐Employed," Econometrica, Econometric Society, vol. 90(4), pages 1743-1779, July.
    5. Arnold, Michael A & Lippman, Steven A, 1998. "Posted Prices versus Bargaining in Markets with Asymmetric Information," Economic Inquiry, Western Economic Association International, vol. 36(3), pages 450-457, July.
    6. Kenneth Burdett & Carlos Carrillo-Tudela & Melvyn Coles, 2020. "The Cost of Job Loss," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(4), pages 1757-1798.
    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. Gilles Postel-Vinay & Jean-Marc Robin, 2002. "The distribution of earnings in an equilibrium search model with state-dependent offers and counteroffers," PSE-Ecole d'économie de Paris (Postprint) hal-03416837, HAL.
    9. Fujita, Shigeru & Moscarini, Giuseppe & Postel-Vinay, Fabien, 2020. "Measuring Employer-to-Employer Reallocation," IZA Discussion Papers 13472, Institute of Labor Economics (IZA).
    10. 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.
    11. 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.
    12. John Grigsby & Erik Hurst & Ahu Yildirmaz, 2021. "Aggregate Nominal Wage Adjustments: New Evidence from Administrative Payroll Data," American Economic Review, American Economic Association, vol. 111(2), pages 428-471, February.
    13. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    14. Mary O'Mahony & Marcel P. Timmer, 2009. "Output, Input and Productivity Measures at the Industry Level: The EU KLEMS Database," Economic Journal, Royal Economic Society, vol. 119(538), pages 374-403, June.
    15. Gabriele Camera & Alain Delacroix, 2004. "Trade Mechanism Selection in Markets with Frictions," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(4), pages 851-868, October.
    16. 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.
    17. Robert Shimer, 2012. "Reassessing the Ins and Outs of Unemployment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 127-148, April.
    18. Christopher Flinn & James Mabli & Joseph Mullins, 2017. "Firms' Choices of Wage-Setting Protocols in the Presence of Minimum Wages," Working Papers 2017-070, Human Capital and Economic Opportunity Working Group.
    19. Gabriel Chodorow-Reich & Loukas Karabarbounis, 2016. "The Cyclicality of the Opportunity Cost of Employment," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1563-1618.
    20. Alessandro Barattieri & Susanto Basu & Peter Gottschalk, 2014. "Some Evidence on the Importance of Sticky Wages," American Economic Journal: Macroeconomics, American Economic Association, vol. 6(1), pages 70-101, January.
    21. Aw, Bee Yan & Chen, Xiaomin & Roberts, Mark J., 2001. "Firm-level evidence on productivity differentials and turnover in Taiwanese manufacturing," Journal of Development Economics, Elsevier, vol. 66(1), pages 51-86, October.
    22. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms9850c12h1p is not listed on IDEAS
    23. Albrecht, James W & Axell, Bo, 1984. "An Equilibrium Model of Search Unemployment," Journal of Political Economy, University of Chicago Press, vol. 92(5), pages 824-840, October.
    24. Pierre Cahuc & Fabien Postel-Vinay & Jean-Marc Robin, 2006. "Wage bargaining with on-the-job search: theory and evidence," Post-Print hal-03471856, HAL.
    25. Hervé Le Bihan & Jérémi Montornès & Thomas Heckel, 2012. "Sticky Wages: Evidence from Quarterly Microeconomic Data," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(3), pages 1-32, July.
    26. Pierre Cahuc & Fabien Postel-Vinay & Jean-Marc Robin, 2006. "Wage bargaining with on-the-job search: theory and evidence," SciencePo Working papers hal-03471856, HAL.
    27. Burdett, Ken & Coles, Melvyn, 2010. "Wage/tenure contracts with heterogeneous firms," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1408-1435, July.
    28. Fabien Postel-Vinay & Jean-Marc Robin, 2004. "To match or not to match? Optimal wage policy with endogenous worker search intensity," SciencePo Working papers Main hal-03587620, HAL.
    29. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    30. Jake Bradley & Axel Gottfries, 2021. "A job ladder model with stochastic employment opportunities," Quantitative Economics, Econometric Society, vol. 12(4), pages 1399-1430, November.
    31. repec:nbr:nberre:0126 is not listed on IDEAS
    32. Camille Landais & Pascal Michaillat & Emmanuel Saez, 2018. "A Macroeconomic Approach to Optimal Unemployment Insurance: Applications," American Economic Journal: Economic Policy, American Economic Association, vol. 10(2), pages 182-216, May.
    33. Marcus Hagedorn & Iourii Manovskii, 2008. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies Revisited," American Economic Review, American Economic Association, vol. 98(4), pages 1692-1706, September.
    34. Fabien Postel-Vinay & Jean-Marc Robin, 2004. "To match or not to match? Optimal wage policy with endogenous worker search intensity," Post-Print hal-03587620, HAL.
    35. Raj Chetty, 2008. "Erratum: Moral Hazard versus Liquidity and Optimal Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 116(6), pages 1197-1197, December.
    36. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "The Distribution of Earnings in an Equilibrium Search Model with State-Dependent Offers and Counteroffers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(4), pages 989-1016, November.
    37. Taylor, John B, 1980. "Aggregate Dynamics and Staggered Contracts," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 1-23, February.
    38. Camille Landais & Pascal Michaillat & Emmanuel Saez, 2018. "A Macroeconomic Approach to Optimal Unemployment Insurance: Theory," American Economic Journal: Economic Policy, American Economic Association, vol. 10(2), pages 152-181, May.
    39. Gilles Postel-Vinay & Jean-Marc Robin, 2002. "The distribution of earnings in an equilibrium search model with state-dependent offers and counteroffers," Post-Print hal-03416837, HAL.
    40. Margaret Stevens, 2004. "Wage-Tenure Contracts in a Frictional Labour Market: Firms' Strategies for Recruitment and Retention," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 535-551.
    41. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
    42. Bester, Helmut, 1993. "Bargaining versus Price Competition in Markets with Quality Uncertainty," American Economic Review, American Economic Association, vol. 83(1), pages 278-288, March.
    43. Robert H. Topel & Michael P. Ward, 1992. "Job Mobility and the Careers of Young Men," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 439-479.
    44. Jesse Perla & Christopher Tonetti, 2014. "Equilibrium Imitation and Growth," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 52-76.
    45. 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.
    46. Fabien Postel-Vinay & Jean-Marc Robin, 2004. "To match or not to match? Optimal wage policy with endogenous worker search intensity," SciencePo Working papers hal-03587620, HAL.
    47. 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.
    48. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    49. Jósef Sigurdsson & Rannveig Sigurdardottir, 2011. "Evidence of Nominal Wage Rigidity and Wage Setting from Icelandic Microdata," Economics wp55, Department of Economics, Central bank of Iceland.
    50. John M. Barron & Mark C. Berger & Dan A. Black, 2006. "Selective Counteroffers," Journal of Labor Economics, University of Chicago Press, vol. 24(3), pages 385-410, July.
    51. Rasmus Lentz, 2014. "Optimal Employment Contracts with Hidden Search," NBER Working Papers 19988, National Bureau of Economic Research, Inc.
    52. Eaton, Jonathan & Kortum, Samuel, 1999. "International Technology Diffusion: Theory and Measurement," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(3), pages 537-570, August.
    53. Eckstein, Zvi & Wolpin, Kenneth I, 1990. "Estimating a Market Equilibrium Search Model from Panel Data on Individuals," Econometrica, Econometric Society, vol. 58(4), pages 783-808, July.
    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. 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.
    2. Anton A. Cheremukhin & Paulina Restrepo-Echavarria, 2020. "Wage Setting Under Targeted Search," Working Papers 2020-041, Federal Reserve Bank of St. Louis, revised 03 May 2023.
    3. Cynthia L. Doniger, 2021. "What Can We Learn from Asynchronous Wage Changes?," Finance and Economics Discussion Series 2021-055r1, Board of Governors of the Federal Reserve System (U.S.), revised 31 Mar 2022.
    4. Cynthia Doniger, 2018. "Falling Labor Share and Rising Inequality: The Role of Wage Contracts," 2018 Meeting Papers 526, Society for Economic Dynamics.
    5. Christopher Flinn & James Mabli & Joseph Mullins, 2017. "Firms' Choices of Wage-Setting Protocols in the Presence of Minimum Wages," Working Papers 2017-070, Human Capital and Economic Opportunity Working Group.

    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. Di Addario, Sabrina & Kline, Patrick & Saggio, Raffaele & Sølvsten, Mikkel, 2023. "It ain’t where you’re from, it’s where you’re at: Hiring origins, firm heterogeneity, and wages," Journal of Econometrics, Elsevier, vol. 233(2), pages 340-374.
    2. Damdinsuren, Erdenebulgan & Zaharieva, Anna, 2023. "Expectation formation and learning in the labour market with on-the-job search and Nash bargaining," Labour Economics, Elsevier, vol. 81(C).
    3. Ronald Wolthoff, 2014. "It'S About Time: Implications Of The Period Length In An Equilibrium Search Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(3), pages 839-867, August.
    4. Simon Jäger & Benjamin Schoefer & Samuel Young & Josef Zweimüller, 2020. "Wages and the Value of Nonemployment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(4), pages 1905-1963.
    5. Cynthia L. Doniger, 2021. "What Can We Learn from Asynchronous Wage Changes?," Finance and Economics Discussion Series 2021-055r1, Board of Governors of the Federal Reserve System (U.S.), revised 31 Mar 2022.
    6. Simmons, Michael, 2023. "Job-to-job transitions, job finding and the ins of unemployment," Labour Economics, Elsevier, vol. 80(C).
    7. 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.
    8. Tamas Papp, 2013. "Frictional wage dispersion with Bertrand competition: an assessment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(3), pages 540-552, July.
    9. Cheng Wang & Youzhi Yang, 2023. "On the Pure Theory of Wage Dispersion," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 47, pages 246-277, January.
    10. 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.
    11. Jake Bradley & Axel Gottfries, 2021. "A job ladder model with stochastic employment opportunities," Quantitative Economics, Econometric Society, vol. 12(4), pages 1399-1430, November.
    12. Etienne Lalé, 2019. "Search and Multiple Jobholding," Upjohn Working Papers 19-305, W.E. Upjohn Institute for Employment Research.
    13. Etienne Lale, 2022. "Search and Multiple Jobholding," Working Papers 22-07, Chair in macroeconomics and forecasting, University of Quebec in Montreal's School of Management.
    14. Moser, Christian & Saidi, Farzad & Wirth, Benjamin & Wolter, Stefanie, 2020. "Credit Supply, Firms, and Earnings Inequality," MPRA Paper 100371, University Library of Munich, Germany.
    15. R. Jason Faberman & Andreas I. Mueller & Ayşegül Şahin & Giorgio Topa, 2022. "Job Search Behavior Among the Employed and Non‐Employed," Econometrica, Econometric Society, vol. 90(4), pages 1743-1779, July.
    16. Cynthia L. Doniger, 2022. "These Caps Spilleth Over: Equilibrium Effects of Unemployment Insurance," Finance and Economics Discussion Series 2022-074, Board of Governors of the Federal Reserve System (U.S.).
    17. Xin Zhao & Yishuo Jiao & Dan Wu, 2022. "The impact of Internet use on labor wage distortions: Empirical Evidence From China," SAGE Open, , vol. 12(2), pages 21582440221, May.
    18. Babina, Tania & Ma, Wenting & Moser, Christian & Ouimet, Paige & Zarutskie, Rebecca, 2019. "Pay, Employment, and Dynamics of Young Firms," MPRA Paper 95382, University Library of Munich, Germany.
    19. Cahuc, Pierre, 2014. "Search, flows, job creations and destructions," Labour Economics, Elsevier, vol. 30(C), pages 22-29.
    20. Cynthia Doniger, 2018. "Falling Labor Share and Rising Inequality: The Role of Wage Contracts," 2018 Meeting Papers 526, Society for Economic Dynamics.

    More about this item

    Keywords

    Wage Posting; Sequential Auction; Random Search; Wage Dispersion; Value of Unemployment; Labor Share;
    All these keywords.

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution
    • 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
    • M52 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects

    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:issued:20-509. 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.