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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 construct a theoretical framework in which firms offer wage-tenure contracts to direct the search by risk-averse workers. All workers can search, on or off the job. I characterize an equilibrium and prove its existence. The equilibrium generates a nondegenerate, continuous distribution of employed workers over the values of contracts, despite that all matches are identical and workers observe all offers. A striking property is that the equilibrium is block recursive; that is, individuals' optimal decisions and optimal contracts are independent of the distribution of workers. This property makes the equilibrium analysis tractable. Consistent with stylized facts, the equilibrium predicts that (i) wages increase with tenure, (ii) job-to-job transitions decrease with tenure and wages, and (iii) wage mobility is limited in the sense that the lower the worker's wage, the lower the future wage a worker will move to in the next job transition. Moreover, block recursivity implies that changes in the unemployment benefit and the minimum wage have no effect on an employed worker's job-to-job transitions and contracts. Copyright 2009 The Econometric Society.

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File URL: http://hdl.handle.net/10.3982/ECTA7870
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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 77 (2009)
Issue (Month): 2 (03)
Pages: 561-584
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Handle: RePEc:ecm:emetrp:v:77:y:2009:i:2:p:561-584

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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)
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  2. 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)
  3. 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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  4. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Econometrica, Econometric Society, vol. 70(6), pages 2295-2350, November. [Downloadable!] (restricted)
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  5. 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!]
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  6. 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!]
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  7. 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)
  8. 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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  9. Coles, Melvyn G. & Eeckhout, Jan, 2003. "Indeterminacy and directed search," Journal of Economic Theory, Elsevier, vol. 111(2), pages 265-276, August. [Downloadable!] (restricted)
  10. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-27, September. [Downloadable!] (restricted)
  11. 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)
  12. 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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  13. 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)
  14. 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)
  15. 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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  16. 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!]
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  17. Gadi Barlevy, 2003. "Estimating Models of On-the-Job Search Using Record Statistics," NBER Working Papers 10146, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  18. 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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  19. 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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  20. 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)
  21. 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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  22. Ken Burdett & Melvyn Coles, 2003. "Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 71(5), pages 1377-1404, 09. [Downloadable!] (restricted)
  23. 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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  24. Giuseppe Moscarini, 2005. "Job Matching and the Wage Distribution," Econometrica, Econometric Society, vol. 73(2), pages 481-516, 03. [Downloadable!] (restricted)
  25. 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. [Downloadable!] (restricted)
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  26. 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)
  27. 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!]
  28. Shi, Shouyong, 2001. "Frictional Assignment. I. Efficiency," Journal of Economic Theory, Elsevier, vol. 98(2), pages 232-260, June. [Downloadable!] (restricted)
  29. 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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  30. 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.
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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.
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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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