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Labor Quality, the Demand for Skill, and Market Selection

Listed author(s):
  • Sherwin Rosen
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This paper investigates some alternative definitions of labor for productivity and demand analysis. The paper is organized as follows: Section II considers the organization of work activities in a simple fixed coefficient technology in the presence of comparative advantage among various classes of workers. Assuming that the number of independent productive activities exceeds the number of comparative advantage classes, an application of the envelope theorem shows the derivation from first principles of a neoclassical production function with input dimension (the number of workers of each type) smaller than the engineering technology(the number of activities). This is the basic result illustrating that occupational classifications depend on both the technology and the distribution of skills (factor supplies) in the working population, a fact that may be relevant to international and other cross-sectional differences in productivity and the demand for labor. The situation is reversed in section III, which treats the case where the number of worker classifications exceeds the number of production activities. In this case the micro-technology cannot be reduced below the basic set of work activities one starts with, and within these categories labor can be aggregated according to efficiency units. However, the nature of factor endowments in economies of this sort is rather different than in the neoclassical model, and leads to an output transformation function that has all the neoclassical properties. This result is reminiscent of an example of Houthakker (also, see Sato) who also obtained smooth neoclassical behavioral functions from underlying distributional phenomena. Section IV examines the characteristics-factor approach to labor aggregation and relates it to the results in section III, noting an inherent difficulty arising from selectivity of various ability groups of workers among work activities due to comparative advantage. In effect, the existence of rent destroys the possibility of simple linear aggregation. Finally, section V indicates some problems with applying the theory of marriage directly to labor demand. These issues become most interesting when there are incomplete markets that limit the gains from fully exploiting comparative advantage, due to transactions costs. The results are limited, but some examples show that any predictions concerning positive or negative assortive matching of workers depends not only on the correlation of talents among members of the work force, but also on the nature of technology and the distribution of demands for various outputs.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 0162.

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Date of creation: Jan 1977
Publication status: published as Rosen, Sherwin. "Specialization and Human Capital." Journal of Labor Economics, Vol. 1, No. 1, (January 1983), pp. 43-49.
Handle: RePEc:nbr:nberwo:0162
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  1. Alchian, Armen A & Demsetz, Harold, 1972. "Production , Information Costs, and Economic Organization," American Economic Review, American Economic Association, vol. 62(5), pages 777-795, December.
  2. D. W. Jorgenson & Z. Griliches, 1967. "The Explanation of Productivity Change," Review of Economic Studies, Oxford University Press, vol. 34(3), pages 249-283.
  3. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation for Research in Economics, Yale University.
  4. Stiglitz, Joseph E, 1975. "The Theory of "Screening," Education, and the Distribution of Income," American Economic Review, American Economic Association, vol. 65(3), pages 283-300, June.
  5. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
  6. T. M. Whitin, 1953. "Classical Theory, Graham's Theory, and Linear Programming in International Trade," The Quarterly Journal of Economics, Oxford University Press, vol. 67(4), pages 520-544.
  7. Sattinger, Michael, 1975. "Comparative Advantage and the Distributions of Earnings and Abilities," Econometrica, Econometric Society, vol. 43(3), pages 455-468, May.
  8. A. D. Roy, 1951. "Some Thoughts On The Distribution Of Earnings," Oxford Economic Papers, Oxford University Press, vol. 3(2), pages 135-146.
  9. Lewis, H Gregg, 1974. "Comments on Selectivity Biases in Wage Comparisons," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1145-1155, Nov.-Dec..
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