IDEAS home Printed from https://ideas.repec.org/p/red/sed013/218.html
   My bibliography  Save this paper

The Macro-dynamics of Sorting between Workers and Firms

Author

Listed:
  • Jean-Marc Robin

    (Sciences-Po)

  • Jeremy Lise

    (University College London)

Abstract

We develop a stochastic model of random search on the job, with ex-ante heterogeneous workers and firms and aggregate productivity shocks in which firms make state contingent offers and counter offers to workers. The model delivers rich dynamics in which the distributions of unemployed workers, posted vacancies, and worker-firm matches evolve stochastically over time. We prove that the surplus function, which defines the value of a match and fully characterizes the mobility decision of workers, does not depend on the distributions of unemployed workers, posted vacancies or worker-firm matches. This result means that solving the model with aggregate productivity shocks becomes no more difficult than solving the stationary version. A calibrated version of the model does a good job in generating the fluctuations and co-movements with productivity of unemployment, vacancies, job-finding and job-losing rates.

Suggested Citation

  • Jean-Marc Robin & Jeremy Lise, 2013. "The Macro-dynamics of Sorting between Workers and Firms," 2013 Meeting Papers 218, Society for Economic Dynamics.
    • Handle: RePEc:red:sed013:218
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Giuseppe Moscarini & Fabien Postel-Vinay, 2013. "Stochastic Search Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(4), pages 1545-1581.
    2. 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.
    3. Jean‐Marc Robin, 2011. "On the Dynamics of Unemployment and Wage Distributions," Econometrica, Econometric Society, vol. 79(5), pages 1327-1355, September.
    4. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09j003nctkn is not listed on IDEAS
    5. Menzio, Guido & Shi, Shouyong, 2010. "Block recursive equilibria for stochastic models of search on the job," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1453-1494, July.
    6. Leo Kaas & Philipp Kircher, 2015. "Efficient Firm Dynamics in a Frictional Labor Market," American Economic Review, American Economic Association, vol. 105(10), pages 3030-3060, October.
    7. Hector Chade & Jan Eeckhout & Lones Smith, 2017. "Sorting through Search and Matching Models in Economics," Journal of Economic Literature, American Economic Association, vol. 55(2), pages 493-544, June.
    8. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09j003nctkn is not listed on IDEAS
    9. 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.
    10. 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.
    11. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8grh35j2 is not listed on IDEAS
    12. Guido Menzio & Shouyong Shi, 2010. "Directed Search on the Job, Heterogeneity, and Aggregate Fluctuations," American Economic Review, American Economic Association, vol. 100(2), pages 327-332, May.
    13. 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.
    14. Giuseppe Moscarini & Kaj Thomsson, 2007. "Occupational and Job Mobility in the US," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(4), pages 807-836, December.
    15. Gregory Jolivet & Fabien Postel-Vinay & Jean-Marc Robin, 2006. "The Empirical Content of the Job Search Model: Labor Mobility and Wage Distributions in Europe and the U.S.$," Contributions to Economic Analysis, in: Structural Models of Wage and Employment Dynamics, pages 269-308, Emerald Group Publishing Limited.
    16. Melvyn G. Coles & Dale T. Mortensen, 2016. "Equilibrium Labor Turnover, Firm Growth, and Unemployment," Econometrica, Econometric Society, vol. 84, pages 347-363, January.
    17. Guido Menzio & Shouyong Shi, 2011. "Efficient Search on the Job and the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 468-510.
    18. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Post-Print hal-03458567, HAL.
    19. Leena Rudanko, 2011. "Aggregate and Idiosyncratic Risk in a Frictional Labor Market," American Economic Review, American Economic Association, vol. 101(6), pages 2823-2843, October.
    20. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.
    21. Giuseppe Moscarini & Fabien Postel-Vinay, 2010. "Unemployment and Small Cap Returns: The Nexus," American Economic Review, American Economic Association, vol. 100(2), pages 333-337, May.
    22. Gadi Barlevy, 2002. "The Sullying Effect of Recessions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 65-96.
    23. 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.
    24. Edouard Schaal, 2011. "Uncertainty, Productivity and Unemployment in the Great Depression," 2011 Meeting Papers 1450, Society for Economic Dynamics.
    25. Pissarides, Christopher A, 1985. "Short-run Equilibrium Dynamics of Unemployment Vacancies, and Real Wages," American Economic Review, American Economic Association, vol. 75(4), pages 676-690, September.
    26. repec:hal:spmain:info:hdl:2441/2gm7u1h28o97arriihp43sr90l is not listed on IDEAS
    27. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms985085gkbp is not listed on IDEAS
    28. repec:hal:spmain:info:hdl:2441/22qd4iha9ql84kd2t534hdeb is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    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. repec:hal:spmain:info:hdl:2441/2fecv0pvng8afbbhqcplt7ihf3 is not listed on IDEAS
    2. Jeremy Lise & Jean-Marc Robin, 2016. "The Macro-Dynamics of Sorting between Workers and Firms," Post-Print hal-03571124, HAL.
    3. Jeremy Lise & Jean-Marc Robin, 2016. "The Macro-Dynamics of Sorting between Workers and Firms," SciencePo Working papers hal-03571124, HAL.
    4. repec:spo:wpmain:info:hdl:2441/2fecv0pvng8afbbhqcplt7ihf3 is not listed on IDEAS
    5. repec:hal:spmain:info:hdl:2441/2gm7u1h28o97arriihp43sr90l is not listed on IDEAS
    6. repec:spo:wpmain:info:hdl:2441/2gm7u1h28o97arriihp43sr90l is not listed on IDEAS
    7. Jeremy Lise & Jean-Marc Robin, 2017. "The Macrodynamics of Sorting between Workers and Firms," SciencePo Working papers hal-03391971, HAL.
    8. Leo Kaas & Philipp Kircher, 2015. "Efficient Firm Dynamics in a Frictional Labor Market," American Economic Review, American Economic Association, vol. 105(10), pages 3030-3060, October.
    9. Carlos Carrillo‐Tudela & Ludo Visschers, 2023. "Unemployment and Endogenous Reallocation Over the Business Cycle," Econometrica, Econometric Society, vol. 91(3), pages 1119-1153, May.
    10. Giuseppe Moscarini & Fabien Postel-Vinay, 2016. "Wage Posting and Business Cycles: a Quantitative Exploration," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 135-160, January.
    11. Guido Menzio & Irina Telyukova & Ludo Visschers, 2016. "Directed Search over the Life Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 38-62, January.
    12. Giuseppe Moscarini & Fabien Postel-Vinay, 2013. "Stochastic Search Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(4), pages 1545-1581.
    13. Wolthoff, Ronald P., 2011. "It's About Time: Implications of the Period Length in an Equilibrium Job Search Model," IZA Discussion Papers 6002, Institute of Labor Economics (IZA).
    14. Pietro Garibaldi & Espen Moen & Dag-Einar Sommervoll, 2016. "Competitive On-the-job Search," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 88-107, January.
    15. Ryan Michaels & David Ratner & Michael Elsby, 2016. "Vacancy Chains," 2016 Meeting Papers 753, Society for Economic Dynamics.
    16. Giuseppe Moscarini & Fabien Postel-Vinay, 2024. "On the Job Search and Business Cycles," Revue économique, Presses de Sciences-Po, vol. 75(1), pages 73-112.
    17. repec:spo:wpmain:info:hdl:2441/5taek6gt3k8m0r69e1j1ombcc5 is not listed on IDEAS
    18. repec:hal:spmain:info:hdl:2441/5taek6gt3k8m0r69e1j1ombcc5 is not listed on IDEAS
    19. Menzio, Guido & Shi, Shouyong, 2010. "Block recursive equilibria for stochastic models of search on the job," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1453-1494, July.
    20. Florian Hoffmann & Shouyong Shi, 2016. "Burdett-Mortensen Model of On-the-Job Search with Two Sectors," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 108-134, January.
    21. 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.
    22. Guido Menzio & Shouyong Shi, 2011. "Efficient Search on the Job and the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 468-510.
    23. Chaumont, Gaston & Shi, Shouyong, 2022. "Wealth accumulation, on-the-job search and inequality," Journal of Monetary Economics, Elsevier, vol. 128(C), pages 51-71.
    24. 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.
    25. Ross Doppelt, 2019. "Skill Flows: A Theory of Human Capital and Unemployment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 31, pages 84-122, January.
    26. Carrillo-Tudela, Carlos & Coles, Melvyn, 2015. "Quit Turnover and the Business Cycle: A Survey," IZA Discussion Papers 9366, Institute of Labor Economics (IZA).

    More about this item

    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
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • J63 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Turnover; Vacancies; Layoffs
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

    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:sed013:218. 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.