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Block recursive equilibria for stochastic models of search on the job

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  • Menzio, Guido
  • Shi, Shouyong

Abstract

We develop a general stochastic model of directed search on the job. Directed search allows us to focus on a Block Recursive Equilibrium (BRE) where agents' value functions, policy functions and market tightness do not depend on the distribution of workers over wages and unemployment. We formally prove existence of a BRE under various specifications of workers' preferences and contractual environments, including dynamic contracts and fixed-wage contracts. Solving a BRE is as easy as solving a representative agent model, in contrast to the analytical and computational difficulties in models of random search on the job.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jetheo:v:145:y:2010:i:4:p:1453-1494
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    1. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
    2. Ken Burdett & Melvyn Coles, 2003. "Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 71(5), pages 1377-1404, September.
    3. Christopher A. Pissarides, 1994. "Search Unemployment with On-the-job Search," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 457-475.
    4. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8grh35j2 is not listed on IDEAS
    5. repec:pri:indrel:dsp016h440s45s is not listed on IDEAS
    6. Espen R. Moen & Åsa Rosén, 2004. "Does Poaching Distort Training?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 1143-1162.
    7. 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.
    8. 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.
    9. Gregory Jolivet & Fabien Postel-Vinay & Jean-Marc Robin, 2006. "The Empirical Content of the Job Search Model: Labor Mobility and Wage Distributions in Europe and the U.S.$," Contributions to Economic Analysis, in: Structural Models of Wage and Employment Dynamics, pages 269-308, Emerald Group Publishing Limited.
    10. Andrew Atkeson & Robert E. Lucas, 1992. "On Efficient Distribution With Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 427-453.
    11. 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).
    12. Guido Menzio & Shouyong Shi, 2011. "Efficient Search on the Job and the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 468-510.
    13. Robert E. Hall & Paul R. Milgrom, 2008. "The Limited Influence of Unemployment on the Wage Bargain," American Economic Review, American Economic Association, vol. 98(4), pages 1653-1674, September.
    14. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Post-Print hal-03458567, HAL.
    15. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
    16. Guido Menzio, 2007. "A Theory of Partially Directed Search," Journal of Political Economy, University of Chicago Press, vol. 115(5), pages 748-769, October.
    17. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.
    18. Prescott, Edward C & Townsend, Robert M, 1984. "Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 52(1), pages 21-45, January.
    19. Gadi Barlevy, 2002. "The Sullying Effect of Recessions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 65-96.
    20. 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.
    21. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    22. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-1454, September.
    23. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    24. 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, May.
    25. Mortensen, Dale T., 1994. "The cyclical behavior of job and worker flows," Journal of Economic Dynamics and Control, Elsevier, vol. 18(6), pages 1121-1142, November.
    26. 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.
    27. James D. Montgomery, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(1), pages 163-179.
    28. Shi, Shouyong, 2001. "Frictional Assignment. I. Efficiency," Journal of Economic Theory, Elsevier, vol. 98(2), pages 232-260, June.
    29. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms985085gkbp is not listed on IDEAS
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    More about this item

    Keywords

    Directed search On-the-job search Heterogeneity Aggregate fluctuations;

    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
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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