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Elasticity of substitution between labor and capital: robust evidence from developed economies

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  • Jakub Mućk

Abstract

This paper provides estimates of the aggregate elasticity of substitution between labor and capital (σ) in developed economies. Our empirical strategy consists in estimating two- and three-equation supply-side systems which combine a normalized CES production function and first order conditions for factors of production. Using a panel of 12 advanced economies between 1980 and 2006, it is found that capital and labor are gross complements and σ is on average around 0.7. Moreover, we also document net labor-augmenting technical progress. Our main findings remain robust to various assumptions on time-varying factor-augmenting technical change. Furthermore, we replicate the benchmark results with two alternative datasets. To strengthen these findings a systematic evidence of capital-labor substitution is provided at the country level. Although substantial cross-country variation in σ can be found, a wide range of estimates confirms that labor and capital are gross complements and technical change is net labor-augmenting.

Suggested Citation

  • Jakub Mućk, 2017. "Elasticity of substitution between labor and capital: robust evidence from developed economies," NBP Working Papers 271, Narodowy Bank Polski.
  • Handle: RePEc:nbp:nbpmis:271
    Note: I would like to thank Jakub Growiec, Peter McAdam and Jan Hagemejer and seminar participants at the 4th annual conference of International Association of Applied Econometrics and the EcoMod 2017 annual conference for valuable comments and suggestions.
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    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Poland: heading to middle-income stall?
      by Bruno Duarte in EUnomics on 2018-09-26 21:03:16
    2. How could this change?
      by Bruno Duarte in EUnomics on 2018-10-03 20:09:26

    Citations

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    Cited by:

    1. Serrano-Quintero, Rafael, 2023. "The aggregate productivity slowdown: A system approach," Economics Letters, Elsevier, vol. 223(C).
    2. Jiang, Wei & León-Ledesma, Miguel, 2018. "Variable markups and capital-labor substitution," Economics Letters, Elsevier, vol. 171(C), pages 34-36.
    3. Song, Eunbi, 2021. "What drives labor share change? Evidence from Korean industries," Economic Modelling, Elsevier, vol. 94(C), pages 370-385.
    4. Antoszewski, Michał, 2019. "Wide-range estimation of various substitution elasticities for CES production functions at the sectoral level," Energy Economics, Elsevier, vol. 83(C), pages 272-289.
    5. Bazyli Czyżewski & Agnieszka Poczta-Wajda & Piotr Kułyk & Jolanta Drozdz, 2023. "Small farm as sustainable nexus of contracts: understanding the role of human capital and policy based on evidence from Poland," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(9), pages 10239-10260, September.
    6. Jakub Growiec & Peter McAdam & Jakub Mućk, 2021. "On the Optimal Labor Income Share," International Journal of Central Banking, International Journal of Central Banking, vol. 17(70), pages 1-52, October.

    More about this item

    Keywords

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    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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