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Frictional Assignment, Part II: Infinite Horizon and Inequality

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  • Shouyong Shi

Abstract

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.

Suggested Citation

  • Shouyong Shi, 2002. "Frictional Assignment, Part II: Infinite Horizon and Inequality," Working Papers shouyong-02-01, University of Toronto, Department of Economics.
  • Handle: RePEc:tor:tecipa:shouyong-02-01
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    References listed on IDEAS

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    Cited by:

    1. Jacquet, Nicolas L. & Tan, Serene, 2012. "Wage-vacancy contracts and coordination frictions," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1064-1104.
    2. Allen Head & Hongfei Sun & Chenggang Zhou, 2016. "Default, Mortgage Standards and Housing Liquidity," Working Papers 1359, Queen's University, Department of Economics.
    3. Masters, Adrian, 2011. "Commitment, advertising and efficiency of two-sided investment in competitive search equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 35(7), pages 1017-1031, July.

    More about this item

    Keywords

    Matching; Frictions; Efficiency; Inequality.;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D60 - Microeconomics - - Welfare Economics - - - General

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