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An Equilibrium Theory of Learning, Search and Wages

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Author Info
Francisco M. Gonzalez
Shouyong Shi

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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.

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Publisher Info
Paper provided by University of Toronto, Department of Economics in its series Working Papers with number tecipa-328.

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Length: 32 pages
Date of creation: 12 Aug 2008
Date of revision:
Handle: RePEc:tor:tecipa:tecipa-328

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Related research
Keywords: Learning; Wages; Unemployment; Directed search; Supermodularity.;

Other versions of this item:

Find related papers by JEL classification:
E24 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
J64 - Labor and Demographic Economics - - Mobility, Unemployment, and Vacancies - - - Unemployment: Models, Duration, Incidence, and Job Search

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  1. 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. [Downloadable!] (restricted)
  2. 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. [Downloadable!]
  3. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July. [Downloadable!] (restricted)
    Other versions:
  4. Shouyong Shi, 2006. "Directed Search for Equilibrium Wage-Tenure Contracts," Working Papers tecipa-260, University of Toronto, Department of Economics. [Downloadable!]
    Other versions:
  5. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-27, September. [Downloadable!] (restricted)
  6. Santos, Manuel S, 1991. "Smoothness of the Policy Function in Discrete Time Economic Models," Econometrica, Econometric Society, vol. 59(5), pages 1365-82, September. [Downloadable!] (restricted)
  7. 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 625-44, August. [Downloadable!] (restricted)
  8. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141. [Downloadable!] (restricted)
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  9. Shi, Shouyong, 2001. "Frictional Assignment. I. Efficiency," Journal of Economic Theory, Elsevier, vol. 98(2), pages 232-260, June. [Downloadable!] (restricted)
  10. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
    Other versions:
  11. 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. [Downloadable!] (restricted)
  12. Dale T. Mortensen, 1977. "Unemployment insurance and job search decisions," Industrial and Labor Relations Review, ILR Review, ILR School, Cornell University, vol. 30(4), pages 505-517, July.
  13. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July. [Downloadable!] (restricted)
  14. Burdett, Kenneth & Vishwanath, Tara, 1988. "Declining Reservation Wages and Learning," Review of Economic Studies, Blackwell Publishing, vol. 55(4), pages 655-65, October. [Downloadable!] (restricted)
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    Other versions:
  17. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October. [Downloadable!] (restricted)
    Other versions:
  18. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September. [Downloadable!] (restricted)
  19. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
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  20. Lockwood, Ben, 1991. "Information Externalities in the Labour Market and the Duration of Unemployment," Review of Economic Studies, Blackwell Publishing, vol. 58(4), pages 733-53, July. [Downloadable!] (restricted)
  21. 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. [Downloadable!] (restricted)
  22. Leonard J Mirman & Olivier F. Morand & Kevin L. Reffett, 2004. "A Qualitative Approach to Markovian Equilibrium in Infinite Horizon Economies with Capital," Levine's Bibliography 122247000000000224, UCLA Department of Economics. [Downloadable!]
    Other versions:
  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 257-73, May.
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