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The Employed, the Unemployed, and the Unemployable: Directed Search with Worker Heterogeneity

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  • Lawrence Uren

    (University of Melbourne)

  • Ian King

    (University of Melbourne)

  • Suren Basov

    (LaTrobe University)

Abstract

We examine the implications of worker heterogeneity on the equilibrium matching process, using a directed search model. Worker abilities are selected from a general distribution, subject to some weak regularity requirements, and the firms direct their job offers to workers. For large markets we derive a simple closed form expression for the equilibrum matching function. This function has constant returns to scale and two new terms, which are functions of the underlying distribution of worker productivities: the percentage of workers who are employable, and a measure of heterogeneity (kappa). The equilibrium unemployment rate is increasing in kappa and, under certain circumstances, is increasing in the productivity of highly skilled workers, despite endogenous entry.

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Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2011 Meeting Papers with number 292.

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Date of creation: 2011
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Handle: RePEc:red:sed011:292

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  1. Manolis Galenianos & Philipp A. Kircher, 2005. "Directed Search with Multiple Job Applications," Bonn Econ Discussion Papers bgse20_2005, University of Bonn, Germany.
  2. Benoit Julien & John Kennes & Ian King, 2001. "Residual Wage Disparity and Coordination Unemployment," CAM Working Papers 2004-20, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics, revised Nov 2004.
  3. James Albrecht & Pieter A. Gautier & Susan Vroman, 2006. "Equilibrium Directed Search with Multiple Applications," Review of Economic Studies, Oxford University Press, vol. 73(4), pages 869-891.
  4. Philipp Kircher, 2009. "Efficiency of Simultaneous Search," Journal of Political Economy, University of Chicago Press, vol. 117(5), pages 861-913, October.
  5. Camera, Gabriele & Selcuk, Cemil, 2004. "Price Dispersion with Directed Search," Purdue University Economics Working Papers 1173, Purdue University, Department of Economics.
  6. Jan Eeckhout & Philipp Kircher, 2008. "Sorting and Decentralized Price Competition," PIER Working Paper Archive 08-020, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  7. Petrongolo, Barbara & Pissarides, Christopher, 2000. "Looking Into The Black Box: A Survey Of The Matching Function," CEPR Discussion Papers 2409, C.E.P.R. Discussion Papers.
  8. Manolis Galenianos & Philipp Kircher, 2009. "Directed search with multiple job applications," LSE Research Online Documents on Economics 29702, London School of Economics and Political Science, LSE Library.
  9. Benoit Julien & John Kennes & Ian King, 2000. "Bidding for Labor," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 619-649, October.
  10. Moen, E.R., 1995. "Competitive Search Equilibrium," Memorandum 37/1995, Oslo University, Department of Economics.
  11. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
  12. Shi, Shouyong, 2002. "A Directed Search Model of Inequality with Heterogeneous Skills and Skill-Based Technology," Review of Economic Studies, Wiley Blackwell, vol. 69(2), pages 467-91, April.
  13. Montgomery, James D, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, MIT Press, vol. 106(1), pages 163-79, February.
  14. John Kennes & Benoit Julien & Ian King, 2002. "The Mortensen Rule and Efficient Coordination Unemployment," Macroeconomics 0206001, EconWPA.
  15. Margaret Stevens, 2007. "New Microfoundations For The Aggregate Matching Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 847-868, 08.
  16. Robert Shimer, 2007. "Reassessing the Ins and Outs of Unemployment," NBER Working Papers 13421, National Bureau of Economic Research, Inc.
  17. Michael W. L. Elsby & Bart Hobijn & Ayşegül Şahin, 2013. "Unemployment Dynamics in the OECD," The Review of Economics and Statistics, MIT Press, vol. 95(2), pages 530-548, May.
  18. Philipp Kircher, 2009. "Efficiency of simultaneous search," LSE Research Online Documents on Economics 29703, London School of Economics and Political Science, LSE Library.
  19. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
  20. Albrecht, James & Tan, Serene & Gautier, Pieter & Vroman, Susan, 2004. "Matching with multiple applications revisited," Economics Letters, Elsevier, vol. 84(3), pages 311-314, September.
  21. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-27, September.
  22. Benoît Julien & John Kennes & Ian King, 2005. "Ex post bidding and efficient coordination unemployment," Canadian Journal of Economics, Canadian Economics Association, vol. 38(1), pages 174-193, February.
  23. 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.
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