IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-19-00057.html
   My bibliography  Save this article

A Production Function with Variable Elasticity of Factor Substitution

Author

Listed:
  • Constantin Chilarescu

    (University of Lille)

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.

Suggested Citation

  • Constantin Chilarescu, 2019. "A Production Function with Variable Elasticity of Factor Substitution," Economics Bulletin, AccessEcon, vol. 39(4), pages 2343-2360.
    • Handle: RePEc:ebl:ecbull:eb-19-00057
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2019/Volume39/EB-19-V39-I4-P218.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Growiec, Jakub & Mućk, Jakub, 2020. "Isoelastic Elasticity Of Substitution Production Functions," Macroeconomic Dynamics, Cambridge University Press, vol. 24(7), pages 1597-1634, October.
    2. 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).
    3. McDonald, John & Snooks, G. D., 1986. "Domesday Economy: A New Approach to Anglo-Norman History," OUP Catalogue, Oxford University Press, number 9780198285243.
    4. Michael Knoblach & Fabian Stöckl, 2020. "What Determines The Elasticity Of Substitution Between Capital And Labor? A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 847-875, September.
    5. S K Mishra, 2010. "A Brief History of Production Functions," The IUP Journal of Managerial Economics, IUP Publications, vol. 0(4), pages 6-34, November.
    6. David Stern, 2011. "Elasticities of substitution and complementarity," Journal of Productivity Analysis, Springer, vol. 36(1), pages 79-89, August.
    7. Paul, Saumik, 2019. "A Decline in Labor's Share with Capital Accumulation and Complementary Factor Inputs: An Application of the Morishima Elasticity of Substitution," IZA Discussion Papers 12219, Institute of Labor Economics (IZA).
    8. Constantin Chilarescu, 2021. "A production function with variable elasticity of substitution greater than one," Economics Bulletin, AccessEcon, vol. 41(3), pages 1741-1746.
    9. Litina, Anastasia & Palivos, Theodore, 2010. "The Behavior Of The Saving Rate In The Neoclassical Optimal Growth Model," Macroeconomic Dynamics, Cambridge University Press, vol. 14(4), pages 482-500, September.
    10. Ryu, Hang Keun, 2011. "Subjective model selection rules versus passive model selection rules," Economic Modelling, Elsevier, vol. 28(1-2), pages 459-472, January.
    11. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    12. Bjarne S. Jensen & Ulla Lehmijoki, 2011. "Homothetic Multisector Growth Models," DEGIT Conference Papers c016_001, DEGIT, Dynamics, Economic Growth, and International Trade.
    13. Herbert H. Tsang, 1973. "Economic Hypotheses and the Derivation of Production Functions," The Economic Record, The Economic Society of Australia, vol. 49(3), pages 456-463, September.
    14. Ryu, Hang Keun, 2011. "Subjective model selection rules versus passive model selection rules," Economic Modelling, Elsevier, vol. 28(1), pages 459-472.
    15. Saad Labyad & Mehdi Senouci, 2018. "Deriving multiple-input production and utility functions from elasticities of substitution functions ," Working Papers hal-01866275, HAL.
    16. Stern, David I., 2008. "Derivation of the Hicks Elasticity of Substitution from the Input Distance Function," MPRA Paper 12414, University Library of Munich, Germany.
    17. Paul E. Brockway & Matthew K. Heun & João Santos & John R. Barrett, 2017. "Energy-Extended CES Aggregate Production: Current Aspects of Their Specification and Econometric Estimation," Energies, MDPI, vol. 10(2), pages 1-23, February.
    18. Nguyen Ngoc Thach, 2020. "The Variable Elasticity of Substitution Function and Endogenous Growth: An Empirical Evidence from Vietnam," International Journal of Economics & Business Administration (IJEBA), International Journal of Economics & Business Administration (IJEBA), vol. 0(1), pages 263-277.
    19. Elena Burmistrova & Sergey Lobanov, 2018. "The Allen--Uzawa elasticity of substitution for nonhomogeneous production functions," Papers 1802.06885, arXiv.org.
    20. Chris Papageorgiou & Kaz Miyagiwa, 2003. "The Elasticity of Substitution, Hicks' Conjectures, and Economic Growth," Departmental Working Papers 2003-08, Department of Economics, Louisiana State University.

    More about this item

    Keywords

    variable elasticity of factor substitution; production function.;

    JEL classification:

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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ebl:ecbull:eb-19-00057. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: John P. Conley (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.