IDEAS home Printed from https://ideas.repec.org/a/dug/actaec/y2009i1p7-15.html
   My bibliography  Save this article

The Production Functions from the Point of View of 3- Dimensional Geometry

Author

Listed:
  • Catalin Angelo Ioan

    (“Danubius” University of Galati)

Abstract

In this paper we shall make an analysis of production functions from the space point of view. We shall obtain some interesting results like that all the points of the surface are parabolic, the total curvature is always null, 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

  • 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.
  • Handle: RePEc:dug:actaec:y:2009:i:1:p:7-15
    as

    Download full text from publisher

    File URL: http://journals.univ-danubius.ro/index.php/oeconomica/article/view/69/66
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    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. Catalin Angelo Ioan & Gina Ioan, 2014. "Mathematics and Microeconomics," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 10(2), pages 100-108, April.

    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. Alin Cristian Ioan, 2014. "A Study of Cobb-Douglas Production Function with Differential Geometry," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 6(6), pages 67-74, December.
    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. Growiec, Jakub & Mućk, Jakub, 2020. "Isoelastic Elasticity Of Substitution Production Functions," Macroeconomic Dynamics, Cambridge University Press, vol. 24(7), pages 1597-1634, October.
    5. 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.
    6. Paul, Saumik, 2019. "Labor Income Share Dynamics with Variable Elasticity of Substitution," IZA Discussion Papers 12418, Institute of Labor Economics (IZA).
    7. 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).
    8. Saad Labyad & Mehdi Senouci, 2018. "Deriving multiple-input production and utility functions from elasticities of substitution functions ," Working Papers hal-01866275, HAL.
    9. Nicol`o Cangiotti & Mattia Sensi, 2020. "A geometric characterization of VES and Kadiyala-type production functions," Papers 2004.09617, arXiv.org.
    10. 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.
    11. 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.
    12. 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).
    13. Frédéric Reynès, 2011. "The cobb-douglas function as an approximation of other functions," SciencePo Working papers Main hal-01069515, HAL.
    14. Growiec, Jakub, 2018. "Factor-specific technology choice," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 1-14.
    15. H. Georg Schulze, 2010. "Ein Modell der Ekonomie als System von neuronalen Netzwerken - Ein Umriss [Connectionist Economics - An Outline]," Post-Print hal-01492977, HAL.
    16. repec:spo:wpmain:info:hdl:2441/1cpd872l2j8lb968d53pu5f30q is not listed on IDEAS
    17. 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.
    18. 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).
    19. Frédéric Reynès, 2017. "The Cobb-Douglas function as a flexible function. Analysing the substitution between capital, labor and energy," Documents de Travail de l'OFCE 2017-12, Observatoire Francais des Conjonctures Economiques (OFCE).
    20. 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.
    21. 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.

    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:2009:i:1:p:7-15. 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.