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A Production Function with Variable Elasticity of Factor Substitution

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  • Constantin Chilarescu

Abstract

The main aim of this paper is to prove the existence of a new production function with variable elasticity of factor substitution. This production function is a more general form which includes the Cobb-Douglas production function and the CES production function as particular cases. The econometric estimates presented in the paper confirm some other results and reinforces the conclusion that the sigma is well-below the Cobb-Douglas value of one.

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  • Constantin Chilarescu, 2019. "A Production Function with Variable Elasticity of Factor Substitution," Papers 1907.12624, arXiv.org.
    • Handle: RePEc:arx:papers:1907.12624
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    References listed on IDEAS

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    1. Mallick, Debdulal, 2012. "The role of the elasticity of substitution in economic growth: A cross-country investigation," Labour Economics, Elsevier, vol. 19(5), pages 682-694.
    2. Ryuzo Sato, 1980. "The Impact of Technical Change on the Holotheticity of Production Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(4), pages 767-776.
    3. Lu, Yaoji, 1967. "Variable elasticity of substitution production functions, technical change and factor shares," ISU General Staff Papers 196701010800004405, Iowa State University, Department of Economics.
    4. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    5. Hirofumi Uzawa, 1962. "Production Functions with Constant Elasticities of Substitution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 291-299.
    6. Barelli, Paulo & de Abreu Pessoa, Samuel, 2003. "Inada conditions imply that production function must be asymptotically Cobb-Douglas," Economics Letters, Elsevier, vol. 81(3), pages 361-363, December.
    7. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    8. Sato, Ryuzo, 1970. "The Estimation of Biased Technical Progress and the Production Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 11(2), pages 179-208, June.
    9. Kim, H Youn, 1992. "The Translog Production Function and Variable Returns to Scale," The Review of Economics and Statistics, MIT Press, vol. 74(3), pages 546-552, August.
    10. Olivier Grandville, 1997. "Curvature and the elasticity of substitution: Straightening it out," Journal of Economics, Springer, vol. 66(1), pages 23-34, February.
    11. Beckmann, Martin J & Sato, Ryuzo & Schupack, Mark, 1972. "Alternative Approaches to the Estimation of Production Functions and of Technical Change," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 33-52, February.
    12. Daniel McFadden, 1963. "Constant Elasticity of Substitution Production Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(2), pages 73-83.
    13. A. Zellner & N. S. Revankar, 1969. "Generalized Production Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(2), pages 241-250.
    14. Sato, Ryuzo, 1975. "The Most General Class of CES Functions," Econometrica, Econometric Society, vol. 43(5-6), pages 999-1003, Sept.-Nov.
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    Cited by:

    1. Constantin Chilarescu, 2021. "A production function with variable elasticity of substitution greater than one," Economics Bulletin, AccessEcon, vol. 41(3), pages 1741-1746.
    2. Lopez, Ramon E. & Pastén, Roberto & Gutiérrez Cubillos, Pablo, 2022. "Climate change in times of economic uncertainty: A perverse tragedy of the commons?," Economic Analysis and Policy, Elsevier, vol. 75(C), pages 209-225.

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    JEL classification:

    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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