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Stochastic Search Equilibrium

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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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
Note: CFP 1392
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Yale University, Box 208281, New Haven, CT 06520-8281 USA

Phone: (203) 432-3702
Fax: (203) 432-6167
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Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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  1. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00357751, HAL.
  2. Bontemps, C. & Robin, J.M. & van den Berg, G.J., 1998. "Equilibrium Search with Continuous Productivity Dispersion: Theory and Non-Parametric Estimation," Papers 98-07, Centre for Labour Market and Social Research, Danmark-.
  3. Fabien Postel-Vinay & Jean-Marc Robin, 2004. "To Match or Not to Match? Optimal Wage Policy With Endogenous Worker Search Intensity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00279655, HAL.
  4. 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.
  5. 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.
  6. Guido Menzio & Shouyong Shi, 2009. "Efficient Search on the Job and the Business Cycle," NBER Working Papers 14905, National Bureau of Economic Research, Inc.
  7. Moscarini, Giuseppe & Postel-Vinay, Fabien, 2009. "Large Employers Are More Cyclically Sensitive," IZA Discussion Papers 4014, Institute for the Study of Labor (IZA).
  8. Foster, Lucia & Haltiwanger, John C. & Syverson, Chad, 2005. "Reallocation, Firm Turnover, and Efficiency: Selection on Productivity or Profitability?," IZA Discussion Papers 1705, Institute for the Study of Labor (IZA).
  9. Francisco M. Gonzalez & Shouyong Shi, 2010. "An Equilibrium Theory of Learning, Search, and Wages," Econometrica, Econometric Society, vol. 78(2), pages 509-537, 03.
  10. 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.
  11. Gadi Barlevy, 2008. "Identification of Search Models using Record Statistics," Review of Economic Studies, Oxford University Press, vol. 75(1), pages 29-64.
  12. 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.
  13. Melitz, Marc J, 2002. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," CEPR Discussion Papers 3381, C.E.P.R. Discussion Papers.
  14. 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.
  15. Leena Rudanko, 2010. "Aggregate and Idiosyncratic Risk in a Frictional Labor Market," Boston University - Department of Economics - Working Papers Series WP2010-054, Boston University - Department of Economics.
  16. Harald Uhlig, 1996. "A law of large numbers for large economies (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 41-50.
  17. John C. Haltiwanger & Ron S. Jarmin & Javier Miranda, 2010. "Who Creates Jobs? Small vs. Large vs. Young," NBER Working Papers 16300, National Bureau of Economic Research, Inc.
  18. 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.
  19. Giuseppe Moscarini & Fabien Postel-Vinay, 2012. "The Contribution of Large and Small Employers to Job Creation in Times of High and Low Unemployment," American Economic Review, American Economic Association, vol. 102(6), pages 2509-39, October.
  20. 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.
  21. 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.
  22. Ken Burdett & Melvyn Coles, 2003. "Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 71(5), pages 1377-1404, 09.
  23. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Oxford University Press, vol. 54(4), pages 599-617.
  24. 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.
  25. Guido Menzio & Shouyong Shi, 2008. "Efficient Search on the Job and the Business Cycle, Second Version," PIER Working Paper Archive 09-010, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 28 Feb 2009.
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