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Directed Search for Equilibrium Wage-Tenure Contracts

  • Shouyong Shi

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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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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  1. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Sciences Po publications info:hdl:2441/c8dmi8nm4pd, Sciences Po.
  2. 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.
  3. Moen, E.R., 1995. "Competitive Search Equilibrium," Memorandum 37/1995, Oslo University, Department of Economics.
  4. Guido Menzio & Shouyong Shi, 2008. "Efficient Search on the Job and the Business Cycle," PIER Working Paper Archive 08-029, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  5. 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.
  6. Alain Delacroix & Shouyong Shi, 2006. "Directed Search On The Job And The Wage Ladder," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(2), pages 651-699, 05.
  7. Harris, Milton & Holstrom, Bengt, 1982. "A Theory of Wage Dynamics," Review of Economic Studies, Wiley Blackwell, vol. 49(3), pages 315-33, July.
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  10. Coles, Melvyn G. & Eeckhout, Jan, 2003. "Indeterminacy and directed search," Journal of Economic Theory, Elsevier, vol. 111(2), pages 265-276, August.
  11. 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.
  12. 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.
  13. 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.
  14. Espen R. Moen & Asa Rosén, 2004. "Does Poaching Distort Training?," Review of Economic Studies, Wiley Blackwell, vol. 71(4), pages 1143-1162, October.
  15. Stevens, M., 2000. "Wage-Tenure Contracts in a Frictional Labour Market: Firms' Stratgies for Recruitment and Retention," Economics Papers 2000-w10, Economics Group, Nuffield College, University of Oxford.
  16. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
  17. Gadi Barlevy, 2004. "Estimating Models of On-the-Job Search Using Record Statistics," 2004 Meeting Papers 9, Society for Economic Dynamics.
  18. Berg, G.J. & Ridder, G., 1993. "An empirical equilibrium search model of the labour market," Serie Research Memoranda 0039, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  19. 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.
  20. Giuseppe Moscarini, 2005. "Job Matching and the Wage Distribution," Econometrica, Econometric Society, vol. 73(2), pages 481-516, 03.
  21. 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.).
  22. Daron Acemoglu & Robert Shimer, 1998. "Holdups and Efficiency with Search Frictions," Working papers 98-14, Massachusetts Institute of Technology (MIT), Department of Economics.
  23. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-27, September.
  24. Hosios, Arthur J, 1990. "On the Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Wiley Blackwell, vol. 57(2), pages 279-98, April.
  25. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
  26. 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.
  27. Diamond, Peter A, 1982. "Wage Determination and Efficiency in Search Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 217-27, April.
  28. 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.
  29. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September.
  30. Shi, Shouyong, 2001. "Frictional Assignment. I. Efficiency," Journal of Economic Theory, Elsevier, vol. 98(2), pages 232-260, June.
  31. Jovanovic, Boyan, 1979. "Job Matching and the Theory of Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 972-90, October.
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