IDEAS home Printed from https://ideas.repec.org/p/chb/bcchwp/558.html
   My bibliography  Save this paper

A Stochastic Assignment Model

Author

Listed:
  • Alberto Naudon

Abstract

In this article I study a dynamic stochastic extension of the “differential rents” model of Sattinger (1979) that generates endogenous mismatch in equilibrium. I depart from the standard assignment literature in assuming that agents’ characteristics may change over time and that re-matching is feasible but costly. I show that, when agent characteristics are stochastic, rigidities that prevent partners from re-matching may change the matching outcome, even if the level of output continues to satisfy monotone differences in type. I construct and prove the existence of an equilibrium characterized by (i) a positive assortative matching between agents that decide to re-match and (ii) bands of inaction for existing matches.

Suggested Citation

  • Alberto Naudon, 2010. "A Stochastic Assignment Model," Working Papers Central Bank of Chile 558, Central Bank of Chile.
    • Handle: RePEc:chb:bcchwp:558
    as

    Download full text from publisher

    File URL: https://www.bcentral.cl/documents/33528/133326/DTBC_558.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Marcus Cobb, 2009. "Forecasting Chilean Inflation From Disaggregate Components," Working Papers Central Bank of Chile 545, Central Bank of Chile.
    2. Marcus Asplund & Volker Nocke, 2006. "Firm Turnover in Imperfectly Competitive Markets -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(2), pages 295-327.
    3. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    4. Diego Restuccia & Richard Rogerson, 2008. "Policy Distortions and Aggregate Productivity with Heterogeneous Plants," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 707-720, October.
    5. Patrick Legros & Andrew F. Newman, 2002. "Monotone Matching in Perfect and Imperfect Worlds," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(4), pages 925-942.
    6. Xavier Gabaix & Augustin Landier, 2008. "Why has CEO Pay Increased So Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 49-100.
    7. 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.
    8. Holmes, Thomas J & Schmitz, James A, Jr, 1995. "On the Turnover of Business Firms and Business Managers," Journal of Political Economy, University of Chicago Press, vol. 103(5), pages 1005-1038, October.
    9. Steven N. Kaplan & Bernadette Minton, 2006. "How has CEO Turnover Changed? Increasingly Performance Sensitive Boards and Increasingly Uneasy CEOs," NBER Working Papers 12465, National Bureau of Economic Research, Inc.
    10. Sattinger, Michael, 1993. "Assignment Models of the Distribution of Earnings," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 831-880, June.
    11. 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.
    12. Patrick Legros & Andrew F. Newman, 2007. "Beauty Is a Beast, Frog Is a Prince: Assortative Matching with Nontransferabilities," Econometrica, Econometric Society, vol. 75(4), pages 1073-1102, July.
    13. Efe A. Ok, 2007. "Preliminaries of Real Analysis, from Real Analysis with Economic Applications," Introductory Chapters, in: Real Analysis with Economic Applications, Princeton University Press.
    14. Marko Tervio, 2008. "The Difference That CEOs Make: An Assignment Model Approach," American Economic Review, American Economic Association, vol. 98(3), pages 642-668, June.
    15. Axel Anderson & Lones Smith, 2006. "Assortative Matching and Reputation," Cowles Foundation Discussion Papers 1553, Cowles Foundation for Research in Economics, Yale University.
    16. Chang-Tai Hsieh & Peter J. Klenow, 2009. "Misallocation and Manufacturing TFP in China and India," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(4), pages 1403-1448.
    17. Dale F. Gray & Carlos J. García & Leonardo Luna & Jorge E. Restrepo, 2011. "Incorporating Financial Sector Risk Into Monetary Policy Models: Application to Chile," Central Banking, Analysis, and Economic Policies Book Series, in: Rodrigo Alfaro (ed.),Financial Stability, Monetary Policy, and Central Banking, edition 1, volume 15, chapter 6, pages 159-197, Central Bank of Chile.
    18. Patrick Legros & Andrew Newman, 2007. "Beauty is a beast, frog is a prince :assortative matching in a nontransferable world," ULB Institutional Repository 2013/7022, ULB -- Universite Libre de Bruxelles.
    19. Sattinger, Michael, 1979. "Differential Rents and the Distribution of Earnings," Oxford Economic Papers, Oxford University Press, vol. 31(1), pages 60-71, March.
    20. Theodore Papageorgiou, 2014. "Learning Your Comparative Advantages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(3), pages 1263-1295.
    21. A. D. Roy, 1951. "Some Thoughts On The Distribution Of Earnings," Oxford Economic Papers, Oxford University Press, vol. 3(2), pages 135-146.
    22. 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..
    23. Holmes, Thomas J & Schmitz, James A, Jr, 1996. "Managerial Tenure, Business Age, and Small Business Turnover," Journal of Labor Economics, University of Chicago Press, vol. 14(1), pages 79-99, January.
    24. Luis Garicano, 2000. "Hierarchies and the Organization of Knowledge in Production," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 874-904, October.
    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. Simeon D. Alder, 2016. "In the Wrong Hands: Complementarities, Resource Allocation, and TFP," American Economic Journal: Macroeconomics, American Economic Association, vol. 8(1), pages 199-241, January.
    2. Davidson, Carl & Heyman, Fredrik & Matusz, Steven & Sjöholm, Fredrik & Zhu, Susan Chun, 2014. "Globalization and imperfect labor market sorting," Journal of International Economics, Elsevier, vol. 94(2), pages 177-194.
    3. Erzo G.J. Luttmer, 2010. "Models of Growth and Firm Heterogeneity," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 547-576, September.
    4. Schetter, Ulrich & Tejada, Oriol, 2018. "Globalization and the Concentration of Talent," VfS Annual Conference 2018 (Freiburg, Breisgau): Digital Economy 181562, Verein für Socialpolitik / German Economic Association.
    5. Simeon Alder, 2009. "In the Wrong Hands: Complementarities, Resource Allocation, and Aggregate TFP," 2009 Meeting Papers 1265, Society for Economic Dynamics.
    6. Arnaud Costinot & Jonathan Vogel, 2010. "Matching and Inequality in the World Economy," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 747-786, August.
    7. Sampson, Thomas, 2016. "Assignment reversals: Trade, skill allocation and wage inequality," Journal of Economic Theory, Elsevier, vol. 163(C), pages 365-409.
    8. McCann, Robert J. & Shi, Xianwen & Siow, Aloysius & Wolthoff, Ronald P., 2012. "Becker Meets Ricardo: Multisector Matching with Social and Cognitive Skills," IZA Discussion Papers 6533, Institute of Labor Economics (IZA).
    9. Jan Eeckhout & Philipp Kircher, 2011. "The Research Agenda: Jan Eeckhout and Philipp Kircher on Sorting in Macroeconomic Models," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 13(1), November.
    10. Davidson, Carl & Matusz, Steven J., 2012. "A model of globalization and firm-worker matching: How good is good enough?," International Review of Economics & Finance, Elsevier, vol. 23(C), pages 5-15.
    11. Arnaud Dupuy, 2008. "The Assignment of Workers to Tasks, Wage Distribution, and Technical Change: A Critical Review," Journal of Income Distribution, Ad libros publications inc., vol. 17(3-4), pages 12-36, September.
    12. Anderson, Axel, 2015. "A dynamic generalization of Becker's assortative matching result," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 290-310.
    13. Edward P. Lazear, 1995. "Personnel Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121883, December.
    14. Määttänen, Niku & Terviö, Marko, 2014. "Income distribution and housing prices: An assignment model approach," Journal of Economic Theory, Elsevier, vol. 151(C), pages 381-410.
    15. Eisfeldt, Andrea L. & Kuhnen, Camelia M., 2013. "CEO turnover in a competitive assignment framework," Journal of Financial Economics, Elsevier, vol. 109(2), pages 351-372.
    16. Luis Garicano & Claire Lelarge & John Van Reenen, 2016. "Firm Size Distortions and the Productivity Distribution: Evidence from France," American Economic Review, American Economic Association, vol. 106(11), pages 3439-3479, November.
    17. Monte, Ferdinando, 2011. "Skill bias, trade, and wage dispersion," Journal of International Economics, Elsevier, vol. 83(2), pages 202-218, March.
    18. Elhanan Helpman & Oleg Itskhoki & Stephen Redding, 2010. "Inequality and Unemployment in a Global Economy," Econometrica, Econometric Society, vol. 78(4), pages 1239-1283, July.
    19. Aoyagi, Masaki & Yoo, Seung Han, 2022. "Matching strategic agents on a two-sided platform," Games and Economic Behavior, Elsevier, vol. 135(C), pages 271-296.
    20. Markus Poschke, 2018. "The Firm Size Distribution across Countries and Skill-Biased Change in Entrepreneurial Technology," American Economic Journal: Macroeconomics, American Economic Association, vol. 10(3), pages 1-41, July.

    More about this item

    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:chb:bcchwp:558. 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: Alvaro Castillo (email available below). General contact details of provider: https://edirc.repec.org/data/bccgvcl.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.