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Isoelastic Elasticity Of Substitution Production Functions

Author

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  • Growiec, Jakub
  • Mućk, Jakub

Abstract

We generalize the normalized constant elasticity of substitution (CES) production function by allowing the elasticity of substitution to vary isoelastically with (i) the relative factor share, (ii) the marginal rate of substitution, (iii) the capital–labor ratio, (iv) the capital share, (v) the capital’s rate of return, or (vi) the capital–output ratio. Ensuing isoelastic elasticity of substitution (IEES) functions have intuitively and analytically desirable properties, for example, self-duality. Empirically, for the post-war US economy we robustly reject the CES specification in favor of the IEES alternative. Assuming the IEES production structure we find that the capital–labor elasticity of substitution has remained around 0.8–0.9 from 1948 to the 1980s, followed by a period of secular decline.

Suggested Citation

  • Growiec, Jakub & Mućk, Jakub, 2020. "Isoelastic Elasticity Of Substitution Production Functions," Macroeconomic Dynamics, Cambridge University Press, vol. 24(7), pages 1597-1634, October.
    • Handle: RePEc:cup:macdyn:v:24:y:2020:i:7:p:1597-1634_1
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    Cited by:

    1. Francesco Menoncin & Stefano Nembrini, 2018. "Stochastic continuous time growth models that allow for closed form solutions," Journal of Economics, Springer, vol. 124(3), pages 213-241, July.
    2. Martin Cicowiez & Hans Lofgren, 2022. "A general equilibrium model with an asymmetric Armington function: Method and application," Journal of Global Economic Analysis, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University, vol. 7(2), pages 140-165, December.
    3. 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.
    4. Bellocchi, Alessandro & Travaglini, Giuseppe, 2023. "Can variable elasticity of substitution explain changes in labor shares?," Journal of Macroeconomics, Elsevier, vol. 76(C).
    5. Bellocchi, Alessandro & Marin, Giovanni & Travaglini, Giuseppe, 2023. "The labor share puzzle: Empirical evidence for European countries," Economic Modelling, Elsevier, vol. 124(C).
    6. Cicowiez, Martin & Lofgren, Hans, 2019. "Asymmetric Armington Model: Method and Application," Conference papers 333079, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    7. Samuele Ialenti & Guido Pialli, 2024. "The increase in the elasticity of substitution between capital and labour: a repeated cross-country investigation," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 33(3), pages 380-400, April.
    8. Zhang, Hao & Wang, Feng & Fan, Wenna & Jiang, Hongfei & Ling, Rui & Liu, Juan, 2025. "Estimation of capital stock and the elasticity of capital-labor substitution in provincial industries in China," International Review of Economics & Finance, Elsevier, vol. 102(C).
    9. Growiec, Jakub, 2018. "Factor-specific technology choice," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 1-14.
    10. Ainagul T. Mamyralieva & Aziza B. Karbekova & Gulchehra B. Abdyrahmanova, 2022. "Analysis of the economic sectors? sustainability of the Kyrgyz Republic," RIVISTA DI STUDI SULLA SOSTENIBILITA', FrancoAngeli Editore, vol. 0(2), pages 185-204.
    11. Saad Labyad & Mehdi Senouci, 2018. "Deriving multiple-input production and utility functions from elasticities of substitution functions ," Working Papers hal-01866275, HAL.

    More about this item

    JEL classification:

    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • 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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