IDEAS home Printed from https://ideas.repec.org/p/tor/tecipa/tecipa-328.html
   My bibliography  Save this paper

An Equilibrium Theory of Learning, Search and Wages

Author

Listed:
  • Francisco M. Gonzalez
  • Shouyong Shi

Abstract

We construct an equilibrium theory of learning from search in the labor market, which addresses the search behavior of workers, the creation of jobs, and the wage distribution as functions of unemployment duration. In the model, each worker has incomplete information about his job-finding ability and learns about it from his search outcomes. The theory formalizes a notion akin to that of discouragement: over the unemployment spell, unemployed workers update their beliefs about their job-finding abilities downward and reduce their desired wages. One contribution of the paper is to integrate learning from search into an equilibrium framework. We show that the equilibrium exhibits wage dispersion among homogeneous workers, and that workers with longer unemployment spells have lower permanent incomes. Another contribution is to apply lattice-theoretic techniques to analyze learning from experience, which is useful because learning generates convex value functions and, in principle, multiple solutions to a worker's optimization problem.

Suggested Citation

  • Francisco M. Gonzalez & Shouyong Shi, 2008. "An Equilibrium Theory of Learning, Search and Wages," Working Papers tecipa-328, University of Toronto, Department of Economics.
  • Handle: RePEc:tor:tecipa:tecipa-328
    as

    Download full text from publisher

    File URL: https://www.economics.utoronto.ca/public/workingPapers/tecipa-328.pdf
    File Function: Main Text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Nyarko, Yaw, 1994. "On the Convexity of the Value Function in Bayesian Optimal Control Problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 303-309, March.
    2. 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.
    3. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
    4. Santos, Manuel S, 1991. "Smoothness of the Policy Function in Discrete Time Economic Models," Econometrica, Econometric Society, vol. 59(5), pages 1365-1382, September.
    5. Olivier Jean Blanchard & Peter Diamond, 1994. "Ranking, Unemployment Duration, and Wages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 417-434.
    6. Dale T. Mortensen, 1977. "Unemployment Insurance and Job Search Decisions," ILR Review, Cornell University, ILR School, vol. 30(4), pages 505-517, July.
    7. Machin, Stephen & Manning, Alan, 1999. "The causes and consequences of longterm unemployment in Europe," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 47, pages 3085-3139, Elsevier.
    8. Devine, Theresa J. & Kiefer, Nicolas M., 1991. "Empirical Labor Economics: The Search Approach," OUP Catalogue, Oxford University Press, number 9780195059366.
    9. repec:pri:indrel:dsp016h440s45s is not listed on IDEAS
    10. Stephen R. G. Jones & W. Craig Riddell, 1999. "The Measurement of Unemployment: An Empirical Approach," Econometrica, Econometric Society, vol. 67(1), pages 147-162, January.
    11. Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2008. "A qualitative approach to Markovian equilibrium in infinite horizon economies with capital," Journal of Economic Theory, Elsevier, vol. 139(1), pages 75-98, March.
    12. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
    13. Addison, John T & Portugal, Pedro, 1989. "Job Displacement, Relative Wage Changes, and Duration of Unemployment," Journal of Labor Economics, University of Chicago Press, vol. 7(3), pages 281-302, July.
    14. Hall, Robert E. & Krueger, Alan B., 2008. "Wage Formation between Newly Hired Workers and Employers: Survey Evidence," IZA Discussion Papers 3775, Institute of Labor Economics (IZA).
    15. J. J. McCall, 1970. "Economics of Information and Job Search," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(1), pages 113-126.
    16. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July.
    17. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    18. Tricia Gladden & Michelle Alexopoulos, 2004. "The Effects of Wealth, and Unemployment Benefits on Search Behavior and Labor Market Transitions," Econometric Society 2004 North American Summer Meetings 517, Econometric Society.
    19. Amir, Rabah & Mirman, Leonard J & Perkins, William R, 1991. "One-Sector Nonclassical Optimal Growth: Optimality Conditions and Comparative Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 625-644, August.
    20. Barron, John M & Bishop, John & Dunkelberg, William C, 1985. "Employer Search: The Interviewing and Hiring of New Employees," The Review of Economics and Statistics, MIT Press, vol. 67(1), pages 43-52, February.
    21. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.
    22. Stephen Nickell & Patricia Jones & Glenda Quintini, 2002. "A Picture of Job Insecurity Facing British Men," Economic Journal, Royal Economic Society, vol. 112(476), pages 1-27, January.
    23. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    24. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    25. repec:bla:econom:v:47:y:1980:i:187:p:247-83 is not listed on IDEAS
    26. 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.
    27. Francisco M. Gonzalez & Shouyong Shi, 2007. "An Equilibrium Theory of Declining Reservation Wages and Learning," Working Papers tecipa-292, University of Toronto, Department of Economics.
    28. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-1127, September.
    29. Leonard Mirman & Olivier Morand & Kevin Reffett, "undated". "A Qualitative Theory of Markovian Equilibrium in Infinite Horizon Economies with Capital," Working Papers 2133376, Department of Economics, W. P. Carey School of Business, Arizona State University.
    30. 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.
    31. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-1454, September.
    32. Paul Gregg & Jonathan Wadsworth, 2000. "Mind the Gap, Please: The Changing Nature of Entry Jobs in Britain," Economica, London School of Economics and Political Science, vol. 67(268), pages 499-524, November.
    33. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    34. Balvers, Ronald J. & Cosimano, Thomas F., 1993. "Periodic learning about a hidden state variable," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 805-827.
    35. Harry J. Holzer & Lawrence F. Katz & Alan B. Krueger, 1991. "Job Queues and Wages," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 739-768.
    36. Burdett, Kenneth, 1979. "Unemployment Insurance Payments as a Search Subsidy: A Theoretical Analysis," Economic Inquiry, Western Economic Association International, vol. 17(3), pages 333-343, July.
    37. Kenneth Burdett & Tara Vishwanath, 1988. "Declining Reservation Wages and Learning," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 655-665.
    38. Robert Shimer, 2008. "The Probability of Finding a Job," American Economic Review, American Economic Association, vol. 98(2), pages 268-273, May.
    39. Shi, Shouyong, 2001. "Frictional Assignment. I. Efficiency," Journal of Economic Theory, Elsevier, vol. 98(2), pages 232-260, June.
    40. Ben Lockwood, 1991. "Information Externalities in the Labour Market and the Duration of Unemployment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(4), pages 733-753.
    41. Christopher A. Pissarides, 1992. "Loss of Skill During Unemployment and the Persistence of Employment Shocks," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(4), pages 1371-1391.
    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. Francisco M. Gonzalez & Shouyong Shi, 2007. "An Equilibrium Theory of Declining Reservation Wages and Learning," Working Papers tecipa-292, University of Toronto, Department of Economics.
    2. Ronald P. Wolthoff, 2010. "Applications and Interviews: A Structural Analysis of Two-Sided Simultaneous Search," Working Papers tecipa-418, University of Toronto, Department of Economics.
    3. Menzio, Guido & Shi, Shouyong & Sun, Hongfei, 2013. "A monetary theory with non-degenerate distributions," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2266-2312.
    4. 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.
    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. Richard Rogerson & Robert Shimer & Randall Wright, 2004. "Search-Theoretic Models of the Labor Market-A Survey," NBER Working Papers 10655, National Bureau of Economic Research, Inc.
    7. Bemjamin Villena-Roldan, 2009. "Aggregate Implications of Employer Search and Recruiting Selection," 2009 Meeting Papers 97, Society for Economic Dynamics.
    8. Shi, Shouyong, 2016. "Customer relationship and sales," Journal of Economic Theory, Elsevier, vol. 166(C), pages 483-516.
    9. Shi, Shouyong, 2023. "Sequentially mixed search and equilibrium price dispersion," Journal of Economic Theory, Elsevier, vol. 213(C).
    10. Michèle Belot & Philipp Kircher & Paul Muller, 2022. "How Wage Announcements Affect Job Search—A Field Experiment," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 1-67, October.
    11. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.
    12. Philipp Kircher, 2009. "Efficiency of Simultaneous Search," Journal of Political Economy, University of Chicago Press, vol. 117(5), pages 861-913, October.
    13. Fernández-Blanco, Javier & Preugschat, Edgar, 2018. "On the effects of ranking by unemployment duration," European Economic Review, Elsevier, vol. 104(C), pages 92-110.
    14. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
    15. Arash Nekoei & Andrea Weber, 2017. "Does Extending Unemployment Benefits Improve Job Quality?," American Economic Review, American Economic Association, vol. 107(2), pages 527-561, February.
    16. 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).
    17. Fei Li & Xi Weng, 2017. "Efficient Learning And Job Turnover In The Labor Market," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(3), pages 727-750, August.
    18. Delacroix, Alain & Shi, Shouyong, 2013. "Pricing and signaling with frictions," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1301-1332.
    19. Jerez, Belén, 2017. "Competitive search equilibrium with multidimensional heterogeneity and two-sided ex-ante investments," Journal of Economic Theory, Elsevier, vol. 172(C), pages 202-219.
    20. Claudio Michelacci & Josep Pijoan-Mas, 2012. "Intertemporal Labour Supply with Search Frictions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(3), pages 899-931.

    More about this item

    Keywords

    Learning; Wages; Unemployment; Directed search; Supermodularity.;
    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
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

    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:tor:tecipa:tecipa-328. 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: RePEc Maintainer (email available below). General contact details of provider: .

    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.