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Stochastic Search Equilibrium

  • Giuseppe Moscarini
  • Fabien Postel-Vinay

We study equilibrium wage and employment dynamics in a class of popular search models with wage posting, in the presence of aggregate productivity shocks. Firms offer and commit to (Markov) contracts, which specify a wage contingent on all payoff-relevant states, but must pay equally all of their workers, who have limited commitment and are free to quit at any time. We find sufficient conditions for the existence and uniqueness of a stochastic search equilibrium in such contracts, which is Rank Preserving [RP]: larger and more productive firms offer more generous contracts to their workers in all states of the world. On the RP equilibrium path, turnover is always efficient as workers always move from less to more productive firms. The resulting stochastic dynamics of firm size provide an intuitive explanation for the empirical finding that large employers have more cyclical job creation ( Moscarini and Postel-Vinay, 2012 ). Finally, computation of RP equilibrium contracts is tractable. Copyright 2013, Oxford University Press.

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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
Date of revision:
Handle: RePEc:cla:levarc:661465000000000001
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  1. Pierre Cahuc & Fabien Postel-Vinay & Jean-Marc Robin, 2006. "Wage Bargaining with On-the-Job Search: Theory and Evidence," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00176090, HAL.
  2. Harald Uhlig, 1996. "A law of large numbers for large economies (*)," Economic Theory, Springer, vol. 8(1), pages 41-50.
  3. 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.
  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. Fabien Postel-Vinay & Giuseppe Moscarini, 2008. "The Timing of Labor Market Expansions: New Facts and a New Hypothesis," 2008 Meeting Papers 326, Society for Economic Dynamics.
  6. Moscarini, Giuseppe & Postel-Vinay, Fabien, 2009. "Large Employers Are More Cyclically Sensitive," IZA Discussion Papers 4014, Institute for the Study of Labor (IZA).
  7. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium wage dispersion with worker and employer heterogeneity," Sciences Po publications info:hdl:2441/dc0ckec3fcb, Sciences Po.
  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. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
  10. 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.
  11. 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.
  12. Margaret Stevens, 2004. "Wage-Tenure Contracts in a Frictional Labour Market: Firms' Strategies for Recruitment and Retention," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 535-551.
  13. Christian Bontemps & Jean-Marc Robin & Gérard J. Van den Berg, 2000. "Equilibrium Search with Continuous Productivity Dispersion: Theory and Nonparametric Estimation," Post-Print hal-00357755, HAL.
  14. Ken Burdett & Melvyn Coles, 2003. "Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 71(5), pages 1377-1404, 09.
  15. 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.
  16. repec:inr:wpaper:155908 is not listed on IDEAS
  17. Leena Rudanko, 2009. "Aggregate and Idiosyncratic Risk in a Frictional Labor Market," 2009 Meeting Papers 468, Society for Economic Dynamics.
  18. Gadi Barlevy, 2008. "Identification of Search Models using Record Statistics," Review of Economic Studies, Oxford University Press, vol. 75(1), pages 29-64.
  19. repec:oup:restud:v:54:y:1987:i:4:p:599-617 is not listed on IDEAS
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
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