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Stochastic Search Equilibrium

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Abstract

We analyze a stochastic equilibrium contract-posting model. Firms post employment contracts, wages contingent on all payoff-relevant states. Aggregate productivity is subject to persistent shocks. Both employed and unemployed workers search randomly for these contracts, and are free to quit at any time. An equilibrium of this contract-posting game is Rank-Preserving [RP] if larger firms offer a larger value to their workers in all states of the world. We show that every equilibrium is RP, and equilibrium is unique, if firms differ either only in their initial size, or also in their fixed idiosyncratic productivity but more productive firms are initially larger, in which case turnover is always efficient, as workers always move from less to more productive firms. The RP equilibrium stochastic dynamics of firm size provide an explanation for the empirical finding that large employers are more cyclically sensitive (Moscarini and Postel-Vinay, 2009). RP equilibrium computation is tractable, and we simulate calibrated examples.

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Bibliographic Info

Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1754.

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Length: 52 pages
Date of creation: Feb 2010
Date of revision:
Publication status: Published in Review of Economic Studies (2013), 80(4): 1545-1581
Handle: RePEc:cwl:cwldpp:1754

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Keywords: Equilibrium job search; Dynamic contracts; Stochastic dynamics;

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References

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  1. Robert E. Hall, 2005. "Job Loss, Job Finding, and Unemployment in the U.S. Economy Over the Past Fifty Years," NBER Working Papers 11678, National Bureau of Economic Research, Inc.
  2. Gadi Barlevy, 2008. "Identification of Search Models using Record Statistics," Review of Economic Studies, Oxford University Press, vol. 75(1), pages 29-64.
  3. Moscarini, Giuseppe & Postel-Vinay, Fabien, 2009. "Large Employers Are More Cyclically Sensitive," CEPR Discussion Papers 7173, C.E.P.R. Discussion Papers.
  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. Bontemps, Christian & Robin, Jean-Marc & van den Berg, Gerard J, 2000. "Equilibrium Search with Continuous Productivity Dispersion: Theory and Nonparametric Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 305-58, May.
  6. Leena Rudanko, 2011. "Aggregate and Idiosyncratic Risk in a Frictional Labor Market," American Economic Review, American Economic Association, vol. 101(6), pages 2823-43, October.
  7. Fabien Postel-Vinay & Jean-Marc Robin, 2004. "To Match or Not to Match? Optimal Wage Policy With Endogenous Worker Search Intensity," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 297-330, April.
  8. Lucia Foster & John Haltiwanger & Chad Syverson, 2005. "Reallocation, Firm Turnover, and Efficiency: Selection on Productivity or Profitability?," Working Papers 05-11, Center for Economic Studies, U.S. Census Bureau.
  9. Ken Burdett & Melvyn Coles, 2003. "Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 71(5), pages 1377-1404, 09.
  10. Dey, M. S. & Flinn, C. J., 2000. "An Equilibrium Model of Health Insurance Provision and Wage Determination," Working Papers 00-18, C.V. Starr Center for Applied Economics, New York University.
  11. Caputo, Michael R., 2003. "The comparative dynamics of closed-loop controls for discounted infinite horizon optimal control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1335-1365, June.
  12. Spear, Stephen E & Srivastava, Sanjay, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Wiley Blackwell, vol. 54(4), pages 599-617, October.
  13. Pierre Cahuc & Fabien Postel-Vinay & Jean-Marc Robin, 2003. "Wage bargaining with on-the-job search : theory and evidence," Research Unit Working Papers 0212, Laboratoire d'Economie Appliquee, INRA.
  14. Margaret Stevens, 2004. "Wage-Tenure Contracts in a Frictional Labour Market: Firms' Strategies for Recruitment and Retention," Review of Economic Studies, Wiley Blackwell, vol. 71(2), pages 535-551, 04.
  15. Giuseppe Moscarini & Fabien Postel-Vinay, 2009. "The Timing of Labor Market Expansions: New Facts and a New Hypothesis," NBER Chapters, in: NBER Macroeconomics Annual 2008, Volume 23, pages 1-51 National Bureau of Economic Research, Inc.
  16. Carlos Carrillo-Tudela, 2009. "An Equilibrium Search Model When Firms Observe Workers' Employment Status," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(2), pages 485-506, 05.
  17. 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.
  18. 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.
  19. Melvyn G. Coles, 2001. "Equilibrium Wage Dispersion, Firm Size and Growth," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(1), pages 159-187, January.
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Citations

Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. Stochastic Search Equilibrium
    by Christian Zimmermann in NEP-DGE blog on 2010-03-08 04:33:22
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
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Cited by:
  1. Coles, Melvyn G & Kelishomi, Ali Moghaddasi, 2011. "New Business Start-ups and the Business Cycle," CEPR Discussion Papers 8588, C.E.P.R. Discussion Papers.
  2. Roberto Pinheiro & Ludo Visschers, 2012. "Unemployment risk and wage differentials," Economics Working Papers we1209, Universidad Carlos III, Departamento de Economía.
  3. Leo Kaas & Philipp Kircher, 2011. "Efficient Firm Dynamics in a Frictional Labor Market," CESifo Working Paper Series 3336, CESifo Group Munich.
  4. Alan Manning, 2012. "Steady-State Equilibrium in a Model of Short-Term Wage-Posting," CEP Discussion Papers dp1158, Centre for Economic Performance, LSE.
  5. Bachmann, Rüdiger & Bayer, Christian & Seth, Stefan & Wellschmied, Felix, 2013. "Cyclicality of Job and Worker Flows: New Data and a New Set of Stylized Facts," IZA Discussion Papers 7192, Institute for the Study of Labor (IZA).
  6. Jean-Marc Robin & Jeremy Lise, 2013. "The Macro-dynamics of Sorting between Workers and Firms," 2013 Meeting Papers 218, Society for Economic Dynamics.
  7. Melvyn G. Coles & Dale T. Mortensen, 2012. "Equilibrium Labor Turnover, Firm Growth and Unemployment," NBER Working Papers 18022, National Bureau of Economic Research, Inc.
  8. Jesper Bagger & François Fontaine & Fabien Postel-Vinay & Jean-Marc Robin, 2011. "Tenure, Experience, Human Capital and Wages: A Tractable Equilibrium Search Model of Wage Dynamics," Sciences Po publications info:hdl:2441/eu4vqp9ompq, Sciences Po.
  9. Melvyn G. Coles & Dale T. Mortensen, 2011. "Equilibrium Wage and Employment Dynamics in a Model of Wage Posting without Commitment," NBER Working Papers 17284, National Bureau of Economic Research, Inc.
  10. Hawkins, William B. & Acemoglu, Daron, 0. "Search with multi-worker firms," Theoretical Economics, Econometric Society.

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