IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2004.09617.html
   My bibliography  Save this paper

A geometric characterization of VES and Kadiyala-type production functions

Author

Listed:
  • Nicol`o Cangiotti
  • Mattia Sensi

Abstract

The basic concepts of the differential geometry are shortly reviewed and applied to the study of VES production function in the spirit of the works of V\^ilcu and collaborators. A similar characterization is given for a more general production function, namely the Kadiyala production function, in the case of developable surfaces.

Suggested Citation

  • Nicol`o Cangiotti & Mattia Sensi, 2020. "A geometric characterization of VES and Kadiyala-type production functions," Papers 2004.09617, arXiv.org.
    • Handle: RePEc:arx:papers:2004.09617
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2004.09617
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Catalin Angelo Ioan & Gina Ioan, 2011. "A generalization of a class of production functions," Applied Economics Letters, Taylor & Francis Journals, vol. 18(18), pages 1777-1784, December.
    2. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    3. 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.
    4. Douglas, Paul H, 1976. "The Cobb-Douglas Production Function Once Again: Its History, Its Testing, and Some New Empirical Values," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 903-915, October.
    5. C. A. Knox Lovell, 1968. "Capacity Utilization and Production Function Estimation in Postwar American Manufacturing," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(2), pages 219-239.
    6. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    7. Thomas M. Humphrey, 1997. "Algebraic production functions and their uses before Cobb-Douglas," Economic Quarterly, Federal Reserve Bank of Richmond, issue Win, pages 51-83.
    8. Xiaoshu Wang & Yu Fu, 2013. "Some Characterizations of the Cobb-Douglas and CES Production Functions in Microeconomics," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, December.
    9. Lovell, C A Knox, 1973. "Estimation and Prediction with CES and VES Production Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 676-692, October.
    10. Labini, Paolo Sylos, 1995. "Why the interpretation of the Cobb-Douglas production function must be radically changed," Structural Change and Economic Dynamics, Elsevier, vol. 6(4), pages 485-504, December.
    Full references (including those not matched with items on IDEAS)

    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. Bellocchi, Alessandro & Travaglini, Giuseppe, 2023. "Can variable elasticity of substitution explain changes in labor shares?," Journal of Macroeconomics, Elsevier, vol. 76(C).
    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. 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.
    4. Paul, Saumik, 2019. "Labor Income Share Dynamics with Variable Elasticity of Substitution," IZA Discussion Papers 12418, Institute of Labor Economics (IZA).
    5. Wong, Tsz-Nga & Yip, Chong K., 2010. "Indeterminacy and the elasticity of substitution in one-sector models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 623-635, April.
    6. Saad Labyad & Mehdi Senouci, 2018. "Deriving multiple-input production and utility functions from elasticities of substitution functions ," Working Papers hal-01866275, HAL.
    7. Voxi Heinrich Amavilah, 2003. "Resource Inefficiency and Poor Aggregate Economic Performance in African Countries: The Case of Namibia, 1968-1992," Development and Comp Systems 0307005, University Library of Munich, Germany.
    8. Norbert Ernst & Michael Sigmund, 2023. "Are zombie firms really contagious? (Norbert Ernst, Michael Sigmund)," Working Papers 245, Oesterreichische Nationalbank (Austrian Central Bank).
    9. Grassetti, Francesca & Mammana, Cristiana & Michetti, Elisabetta, 2018. "Substitutability between production factors and growth. An analysis using VES production functions," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 53-62.
    10. Fanglin LI & Michael APPIAH & Regina Naa Amua DODOO, 2020. "The Effects Of Technology And Labor On Growth In Emerging Countries," Management Research and Practice, Research Centre in Public Administration and Public Services, Bucharest, Romania, vol. 12(2), pages 39-47, June.
    11. Vladimir Gorbunov & Alexander Lvov, 2018. "Effective Production Funds and Production Functions of Regional Small Business," Economy of region, Centre for Economic Security, Institute of Economics of Ural Branch of Russian Academy of Sciences, vol. 1(2), pages 502-515.
    12. Alin Cristian Ioan & Catalin Angelo Ioan, 2011. "On The Nature of Level Hyper Surfaces in the Economic Theory," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 5(5), pages 143-149, October.
    13. Jakub Growiec, 2008. "A new class of production functions and an argument against purely labor‐augmenting technical change," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(4), pages 483-502, December.
    14. 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.
    15. Luigi L. Pasinetti, 2000. "Critique of the neoclassical theory of growth and distribution," Banca Nazionale del Lavoro Quarterly Review, Banca Nazionale del Lavoro, vol. 53(215), pages 383-431.
    16. Xue, Jianpo & Yip, Chong K., 2013. "Aggregate elasticity of substitution and economic growth: A synthesis," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 60-75.
    17. Luigi L. Pasinetti, 2000. "Critique of the neoclassical theory of growth and distribution," BNL Quarterly Review, Banca Nazionale del Lavoro, vol. 53(215), pages 383-431.
    18. 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.
    19. Growiec, Jakub & Mućk, Jakub, 2020. "Isoelastic Elasticity Of Substitution Production Functions," Macroeconomic Dynamics, Cambridge University Press, vol. 24(7), pages 1597-1634, October.
    20. Alessandro Bellocchi & Giovanni Marin & Giuseppe Travaglini, 2021. "The Great Fall of Labor Share:Micro Determinants for EU Countries Over 2011-2019," Working Papers 2102, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2021.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:2004.09617. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.