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Frictional Assignment, Part II: Infinite Horizon and Inequality

  • Shouyong Shi

In this paper I study the assignment between machines of heterogeneous qualities and workers of heterogeneous skills in an infinite-horizon economy with matching frictions. I characterize first the efficient assignment and then the decentralizing market equilibrium. The efficient allocation assigns a unique machine quality and market tightness to each skill. This efficient allocation is saddle-path stable and the assignment along the stable path is constant over time. The efficient assignment is not positively assortative when machine qualities and skills are not sufficiently complementary with each other. Moreover, efficient wage rates are increasing functions of the skill level when the assignment is positively assortative, but not always so when the assignment is not positively assortative. Nevertheless, the social value of workers always increases in the skill level.

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File URL: http://www.economics.utoronto.ca/public/workingPapers/UT-ECIPA-SHOUYONG-02-01.pdf
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Paper provided by University of Toronto, Department of Economics in its series Working Papers with number shouyong-02-01.

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Length: 32 pages
Date of creation: 11 Jul 2002
Date of revision:
Handle: RePEc:tor:tecipa:shouyong-02-01
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  1. Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2b, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. Boyan Jovanovic, 1998. "Vintage Capital and Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(2), pages 497-530, April.
  3. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
  4. Peters, Michael, 2000. "Limits of Exact Equilibria for Capacity Constrained Sellers with Costly Search," Journal of Economic Theory, Elsevier, vol. 95(2), pages 139-168, December.
  5. P. Diamond, 1980. "Aggregate Demand Management in Search Equilibrium," Working papers 268, Massachusetts Institute of Technology (MIT), Department of Economics.
  6. Shouyong Shi, 1998. "Frictional Assignment," Working Papers 988, Queen's University, Department of Economics.
  7. Kenneth Burdett & Randall Wright, 1994. "Two-sided search," Staff Report 169, Federal Reserve Bank of Minneapolis.
  8. Julien, B. & Kennes, J. & King, I., 1998. "Bidding for Labour," Discussion Papers dp98-03, Department of Economics, Simon Fraser University.
  9. Michael Peters & Aloysius Siow, 2001. "Competing Premarital Investment," Working Papers peters-01-02, University of Toronto, Department of Economics.
  10. Burdett, Ken & Coles, Melvyn G, 1997. "Marriage and Class," The Quarterly Journal of Economics, MIT Press, vol. 112(1), pages 141-68, February.
  11. Hosios, Arthur J, 1990. "On the Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Wiley Blackwell, vol. 57(2), pages 279-98, April.
  12. Acemoglu, Daron & Shimer, Robert, 1999. "Holdups and Efficiency with Search Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 827-49, November.
  13. 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.
  14. Christiano, Lawrence J., 1988. "Why does inventory investment fluctuate so much?," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 247-280.
  15. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-46, July-Aug..
  16. Mortensen, Dale T, 1982. "Property Rights and Efficiency in Mating, Racing, and Related Games," American Economic Review, American Economic Association, vol. 72(5), pages 968-79, December.
  17. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September.
  18. Kenneth Burdett & Shouyong Shi & Randall Wright, 1998. "Pricing with frictions," Working Papers 98-9, Federal Reserve Bank of Philadelphia.
  19. 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.
  20. Sattinger, Michael, 1995. "Search and the Efficient Assignment of Workers to Jobs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(2), pages 283-302, May.
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