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Directed Search for Equilibrium Wage-Tenure Contracts

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Author Info
Shouyong Shi

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Abstract

I analyze the equilibrium in a labor market where firms offer wage-tenure contracts to direct the search of employed and unemployed workers. Each applicant observes all offers and there is no coordination among individuals. Workers' applications (as well as firms' recruiting decisions) are optimal. This optimality requires the equilibrium to be formulated differently from the that in the literature of undirected search. I provide such a formulation and show that the equilibrium exists. In the equilibrium, individuals explicitly tradeoff between an offer and the matching rate at that offer. This tradeoff yields a unique offer which is optimal for each worker to apply, and applicants are separated endogenously according to their current values. Despite such uniqueness and separation, there is a non-degenerate and continuous wage distribution of employed workers in the stationary equilibrium. The density of this distribution is increasing at low wages and decreasing at high wages. In all equilibrium contracts, wages increase with tenure, which results in quit rates to decrease with tenure. Moreover, the model makes novel predictions about individuals' job-to-job transition and comparative statics.

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File URL: http://repec.economics.utoronto.ca/files/tecipa-260-1.pdf
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Publisher Info
Paper provided by University of Toronto, Department of Economics in its series Working Papers with number tecipa-260.

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Length: 42 pages
Date of creation: 03 Nov 2006
Date of revision:
Handle: RePEc:tor:tecipa:tecipa-260

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Related research
Keywords: Directed search; on the job; wage tenure contracts;

Other versions of this item:

Find related papers by JEL classification:
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
E24 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution
J60 - Labor and Demographic Economics - - Mobility, Unemployment, and Vacancies - - - General

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Moshe Buchinsky & Jennifer Hunt, 1999. "Wage Mobility In The United States," The Review of Economics and Statistics, MIT Press, vol. 81(3), pages 351-368, August. [Downloadable!] (restricted)
    Other versions:
  2. Postel-Vinay, Fabien & Robin, Jean-Marc, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," CEPR Discussion Papers 3548, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  3. Manolis Galenianos & Philipp Kircher, 2005. "Directed Search with Multiple Job Applications," PIER Working Paper Archive 05-022, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
    Other versions:
  4. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-27, September. [Downloadable!] (restricted)
  5. Hosios, Arthur J, 1990. "On the Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Blackwell Publishing, vol. 57(2), pages 279-98, April. [Downloadable!] (restricted)
  6. Alain Delacroix & Shouyong Shi, 2003. "Directed Search On the Job and the Wage Ladder," Working Papers shouyong-03-04, University of Toronto, Department of Economics. [Downloadable!]
    Other versions:
  7. Margaret Stevens, 2004. "Wage-Tenure Contracts in a Frictional Labour Market: Firms' Strategies for Recruitment and Retention," Review of Economic Studies, Blackwell Publishing, vol. 71(2), pages 535-551, 04. [Downloadable!] (restricted)
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  8. Diamond, Peter A, 1982. "Wage Determination and Efficiency in Search Equilibrium," Review of Economic Studies, Blackwell Publishing, vol. 49(2), pages 217-27, April. [Downloadable!] (restricted)
  9. Ken Burdett & Melvyn Coles, 2003. "Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 71(5), pages 1377-1404, 09. [Downloadable!] (restricted)
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    Other versions:
  11. Farber, Henry S., 1999. "Mobility and stability: The dynamics of job change in labor markets," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 37, pages 2439-2483 Elsevier. [Downloadable!] (restricted)
  12. Shi, Shouyong, 2001. "Frictional Assignment. I. Efficiency," Journal of Economic Theory, Elsevier, vol. 98(2), pages 232-260, June. [Downloadable!] (restricted)
  13. Gadi Barlevy, 2003. "Estimating models of on-the-job search using record statistics," Working Paper Series WP-03-18, Federal Reserve Bank of Chicago. [Downloadable!]
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  14. Gerard J. van den Berg & Geert Ridder, 1998. "An Empirical Equilibrium Search Model of the Labor Market," Econometrica, Econometric Society, vol. 66(5), pages 1183-1222, September.
    Other versions:
  15. 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)
  16. Harris, Milton & Holstrom, Bengt, 1982. "A Theory of Wage Dynamics," Review of Economic Studies, Blackwell Publishing, vol. 49(3), pages 315-33, July. [Downloadable!] (restricted)
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  17. Guido Menzio & Shouyong Shi, 2008. "Efficient Search on the Job and the Business Cycle," Working Papers tecipa-327, University of Toronto, Department of Economics. [Downloadable!]
    Other versions:
  18. Montgomery, James D, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, MIT Press, vol. 106(1), pages 163-79, February. [Downloadable!] (restricted)
  19. 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)
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  20. Coles, Melvyn G. & Eeckhout, Jan, 2003. "Indeterminacy and directed search," Journal of Economic Theory, Elsevier, vol. 111(2), pages 265-276, August. [Downloadable!] (restricted)
  21. 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)
  22. 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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  23. Mortensen, Dale T, 1982. "Property Rights and Efficiency in Mating, Racing, and Related Games," American Economic Review, American Economic Association, vol. 72(5), pages 968-79, December. [Downloadable!] (restricted)
  24. Benoit Julien & John Kennes & Ian King, 2000. "Bidding for Labor," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 619-649, October. [Downloadable!] (restricted)
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  25. Espen R. Moen & Asa Rosén, 2004. "Does Poaching Distort Training?," Review of Economic Studies, Blackwell Publishing, vol. 71(4), pages 1143-1162, October. [Downloadable!] (restricted)
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  26. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
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  27. Topel, Robert H & Ward, Michael P, 1992. "Job Mobility and the Careers of Young Men," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 439-79, May. [Downloadable!] (restricted)
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  28. Giuseppe Moscarini, 2005. "Job Matching and the Wage Distribution," Econometrica, Econometric Society, vol. 73(2), pages 481-516, 03. [Downloadable!] (restricted)
  29. Bruce Fallick & Charles A. Fleischman, 2004. "Employer-to-employer flows in the U.S. labor market: the complete picture of gross worker flows," Finance and Economics Discussion Series 2004-34, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  30. Acemoglu, Daron & Shimer, Robert, 1999. "Holdups and Efficiency with Search Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 827-49, November.
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  31. 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.
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Guido Menzio & Shouyong Shi, 2008. "Efficient Search on the Job and the Business Cycle," Working Papers tecipa-327, University of Toronto, Department of Economics. [Downloadable!]
    Other versions:
  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. Guido Menzio & Shouyong Shi, 2009. "Block Recursive Equilibria for Stochastic Models of Search on the Job," NBER Working Papers 14907, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  4. Philipp Kircher, 2008. "Efficiency of Simultaneous Search," PIER Working Paper Archive 08-004, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
  5. Francisco M. Gonzalez & Shouyong Shi, 2008. "An Equilibrium Theory of Learning, Search and Wages," Working Papers tecipa-328, University of Toronto, Department of Economics. [Downloadable!]
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