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Stochastic Search Equilibrium

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  • Giuseppe Moscarini
  • Fabien Postel-Vinay

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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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 661465000000000001.

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Date of creation: 17 Mar 2010
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Handle: RePEc:cla:levarc:661465000000000001

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  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.
  2. 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.
  3. 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.
  4. 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.
  5. Postel-Vinay & Robin, 2002. "Equilibrium wage dispersion with worker and employer heterogeneity," Working Papers 155908, Institut National de la Recherche Agronomique, France.
  6. 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.
  7. Lucia Foster & John Haltiwanger & Chad Syverson, 2008. "Reallocation, Firm Turnover, and Efficiency: Selection on Productivity or Profitability?," American Economic Review, American Economic Association, vol. 98(1), pages 394-425, March.
  8. 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.
  9. 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.
  10. Moscarini, Giuseppe & Postel-Vinay, Fabien, 2009. "Large Employers Are More Cyclically Sensitive," CEPR Discussion Papers 7173, C.E.P.R. Discussion Papers.
  11. 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.
  12. 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.
  13. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "To Match or Not To Match ? Optimal Wage Policy with Endogenous Worker search Intensity," Working Papers 2002-59, Centre de Recherche en Economie et Statistique.
  14. Matthew S. Dey & Christopher J. Flinn, 2005. "An Equilibrium Model of Health Insurance Provision and Wage Determination," Econometrica, Econometric Society, vol. 73(2), pages 571-627, 03.
  15. Pierre Cahuc & Fabien Postel-Vinay & Jean-Marc Robin, 2006. "Wage bargaining with on-the-job search: theory and evidence," Working Papers 150201, Institut National de la Recherche Agronomique, France.
  16. 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.
  17. Gadi Barlevy, 2008. "Identification of Search Models using Record Statistics," Review of Economic Studies, Oxford University Press, vol. 75(1), pages 29-64.
  18. Ken Burdett & Melvyn Coles, 2003. "Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 71(5), pages 1377-1404, 09.
  19. 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.
  20. 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.
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  1. Stochastic Search Equilibrium
    by Christian Zimmermann in NEP-DGE blog on 2010-03-08 04:33:22
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