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The Elasticity of Factor Substitution Between Capital and Labor in the U.S. Economy: A Meta-Regression Analysis

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  • Knoblach, Michael
  • Rößler, Martin
  • Zwerschke, Patrick

Abstract

The elasticity of factor substitution between capital and labor is a crucial parameter in many economic fields. However, despite extensive research, there is no agreement on its value. Utilizing 738 estimates from 41 studies published between 1961 and 2016, this paper provides the first meta-regression analysis of capital-labor substitution elasticities for the U.S. economy. We show that heterogeneity in reported estimates is driven by the choice of estimation equations, the modeling of technological dynamics, and data characteristics. Based on the underlying meta-regression sample and a "best practice" specification, we estimate a long-run elasticity in the range of 0.6 to 0.7. For all estimated elasticities the hypothesis of a Cobb-Douglas production function is rejected.

Suggested Citation

  • Knoblach, Michael & Rößler, Martin & Zwerschke, Patrick, 2016. "The Elasticity of Factor Substitution Between Capital and Labor in the U.S. Economy: A Meta-Regression Analysis," CEPIE Working Papers 03/16, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    • Handle: RePEc:zbw:tudcep:0316
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    5. Gechert, Sebastian & Havranek, Tomas & Irsova, Zuzana & Kolcunova, Dominika, 2019. "Death to the Cobb-Douglas Production Function? A Quantitative Survey of the Capital-Labor Substitution Elasticity," EconStor Preprints 203136, ZBW - Leibniz Information Centre for Economics.
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    13. Kemnitz, Alexander & Knoblach, Michael, 2020. "Endogenous sigma-augmenting technological change: An R&D-based approach," CEPIE Working Papers 02/20, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    14. Simon Chazel & Sophie Bernard & Hassan Benchekroun, 2020. "Energy Transition Under Mineral Constraints and Recycling," CIRANO Working Papers 2020s-51, CIRANO.
    15. Ziesemer, Thomas, 2020. "Semi-endogenous growth models with domestic and foreign private and public R&D linked to VECMs with evidence for five countries," MERIT Working Papers 2020-013, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
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    21. Li, Defu & Benjamin, Bental, 2021. "Factor Supply Elasticities, Returns to Scale, and the Direction of Technological Progress," MPRA Paper 109920, University Library of Munich, Germany.
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    More about this item

    Keywords

    Elasticity of Factor Substitution; Capital; Labor; Cobb-Douglas; CES Production Function; Meta-Regression Analysis; Meta Regression; Meta Analyse; Substitutionselastizität; Cobb-Douglas; CES Produktionsfunktion; Arbeit; Kapital;
    All these keywords.

    JEL classification:

    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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