IDEAS home Printed from https://ideas.repec.org/a/dug/actaec/y2014i6p67-74.html
   My bibliography  Save this article

A Study of Cobb-Douglas Production Function with Differential Geometry

Author

Listed:
  • Alin Cristian Ioan

    (Nicolae Oncescu College)

Abstract

In this paper we shall made an analysis of Cobb-Douglas production function from the differential point of view. We shall obtain some interesting results about the nature of the points of the surface, the total curvature, the conditions when a production function is minimal and finally we give the equations of the geodesics on the surface i.e. the curves of minimal length between two points.

Suggested Citation

  • Alin Cristian Ioan, 2014. "A Study of Cobb-Douglas Production Function with Differential Geometry," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 10(6), pages 67-74, December.
  • Handle: RePEc:dug:actaec:y:2014:i:6:p:67-74
    as

    Download full text from publisher

    File URL: http://journals.univ-danubius.ro/index.php/oeconomica/article/view/2490/2305
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    2. Catalin Angelo IOAN, 2007. "Applications Of The Space Differential Geometry At The Study Of Production Functions," EuroEconomica, Danubius University of Galati, issue 18, pages 30-37, March.
    3. Mishra, SK, 2007. "A Brief History of Production Functions," MPRA Paper 5254, University Library of Munich, Germany.
    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. Catalin Angelo Ioan, 2009. "The Production Functions from the Point of View of 3- Dimensional Geometry," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 1(1), pages 7-15, September.
    2. Catalin Angelo Ioan, 2010. "A Generalization of Some Production Functions," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 1(1), pages 110-123, March.
    3. 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.
    4. Catalin Angelo Ioan & Gina Ioan, 2012. "An Analysis of the Substitution Effect and of Revenue Effect in the Case of the Consumer’s Theory Provided with a CES Utility Function," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 1(1), pages 164-175, March.
    5. Paul, Saumik, 2019. "Labor Income Share Dynamics with Variable Elasticity of Substitution," IZA Discussion Papers 12418, Institute of Labor Economics (IZA).
    6. 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).
    7. Saad Labyad & Mehdi Senouci, 2018. "Deriving multiple-input production and utility functions from elasticities of substitution functions ," Working Papers hal-01866275, HAL.
    8. Tomáš Evan & Ilya Bolotov, . "Measuring Mancur Olson: What is the Influence of Culture, Institutions and Policies on Economic Development?," Prague Economic Papers, Prague University of Economics and Business, vol. 0.
    9. 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.
    10. 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).
    11. Growiec, Jakub, 2018. "Factor-specific technology choice," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 1-14.
    12. H. Georg Schulze, 2010. "Ein Modell der Ekonomie als System von neuronalen Netzwerken - Ein Umriss [Connectionist Economics - An Outline]," Post-Print hal-01492977, HAL.
    13. Alexandra Naumenko & Seyyed Ali Zeytoon Nejad Moosavian, 2016. "Clarifying Theoretical Intricacies through the Use of Conceptual Visualization: Case of Production Theory in Advanced Microeconomics," Applied Economics and Finance, Redfame publishing, vol. 3(4), pages 103-122, November.
    14. Jo, Ara & Miftakhova, Alena, 2024. "How constant is constant elasticity of substitution? Endogenous substitution between clean and dirty energy," Journal of Environmental Economics and Management, Elsevier, vol. 125(C).
    15. Matthew K. Heun & João Santos & Paul E. Brockway & Randall Pruim & Tiago Domingos & Marco Sakai, 2017. "From Theory to Econometrics to Energy Policy: Cautionary Tales for Policymaking Using Aggregate Production Functions," Energies, MDPI, vol. 10(2), pages 1-44, February.
    16. 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.
    17. Constantin Chilarescu, 2021. "A production function with variable elasticity of substitution greater than one," Economics Bulletin, AccessEcon, vol. 41(3), pages 1741-1746.
    18. Rademeyer, Maryke C. & Minnitt, Richard C.A. & Falcon, Rosemary M.S., 2018. "Revisiting operating cost in resource extraction industries," Resources Policy, Elsevier, vol. 58(C), pages 159-164.
    19. Lu, Yao-chi, 1974. "Regional Comparisons of Productivity Growth in U.S. Agriculture, 1939-1972," WAEA/ WFEA Conference Archive (1929-1995) 323785, Western Agricultural Economics Association.
    20. 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.

    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:dug:actaec:y:2014:i:6:p:67-74. 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: Daniela Robu (email available below). General contact details of provider: https://edirc.repec.org/data/fedanro.html .

    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.