IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/12174.html
   My bibliography  Save this paper

Analitical Derivation of the Cobb-Douglas Function based on the Golden Rule of Capital Accumulation

Author

Listed:
  • Yashin, Pete

Abstract

In this paper, the neoclassical model is extended for the general case of economic growth, which can be represented as the sum of cyclical and growth components. If the general formulation of the golden rule of capital accumulation is satisfied (the savings rate is equal to the capital income share), the production function takes the form of the Cobb-Douglas function. This function governs the economic growth both when the economy is growing along an equilibrium path and when the economy is departing from it (the correlation coefficient between U.S. GDP changes and calculated ones is equal to 0.91). When economy fluctuations are averaged along an equilibrium path, the Cobb-Douglas function reduces to condition, which is similar to Harrod-Domar one. The level of technology may be reasonably considered to express in terms of the wage level.

Suggested Citation

  • Yashin, Pete, 2008. "Analitical Derivation of the Cobb-Douglas Function based on the Golden Rule of Capital Accumulation," MPRA Paper 12174, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:12174
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/12174/1/MPRA_paper_12174.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Paul Gomme & Finn E. Kydland & Peter Rupert, 2001. "Home Production Meets Time to Build," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1115-1131, October.
    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. Mehmet Fatih Demiral & Åžen Halil, 2021. "Integer Programming Model for Two-Centered Double Traveling Salesman Problem," European Journal of Economics and Business Studies Articles, Revistia Research and Publishing, vol. 2, May - Aug.
    2. Wei-Bin ZHANG, 2014. "Gender Discrimination, Education and Economic Growth in a Generalized Uzawa-Lucas Two-Sector Model," Timisoara Journal of Economics and Business, West University of Timisoara, Romania, Faculty of Economics and Business Administration, vol. 7(1), pages 1-34.
    3. Yashin, Pete, 2014. "The Golden Rule of Capital Accumulation and Global Recession. Aggregate Production Function and the Cambridge Capital Controversy," MPRA Paper 58570, University Library of Munich, Germany.
    4. Wei-bin Zhang, 2011. "Elastic Labour Supply and Home Production in a Monetary Growth Model," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 9(2), pages 87-100.
    5. Wei-Bin Zhang, 2016. "Gender-Differentiated Human Capital And Time Distributions In A Generalized Heckscher-Ohlin Model With Endogenous Physical Capital," Knowledge Horizons - Economics, Faculty of Finance, Banking and Accountancy Bucharest,"Dimitrie Cantemir" Christian University Bucharest, vol. 8(2), pages 112-132, June.
    6. Ottaviano, Gianmarco & Peri, Giovanni, 2008. "Immigration and National Wages: Clarifying the Theory and the Empirics," CEPR Discussion Papers 6916, C.E.P.R. Discussion Papers.
    7. Das Gupta, Monica & Bongaarts, John & Cleland, John, 2011. "Population, poverty, and sustainable development : a review of the evidence," Policy Research Working Paper Series 5719, The World Bank.
    8. Kawalec Paweł, 2020. "The dynamics of theories of economic growth: An impact of Unified Growth Theory," Economics and Business Review, Sciendo, vol. 6(2), pages 19-44, June.
    9. Kutuk, Yasin, 2022. "Inequality convergence: A world-systems theory approach," Structural Change and Economic Dynamics, Elsevier, vol. 63(C), pages 150-165.
    10. van de Klundert, T.C.M.J. & Smulders, J.A., 1993. "Reconstructing growth theory : A survey," Other publications TiSEM ed4275fb-b14f-4175-a63f-6, Tilburg University, School of Economics and Management.
    11. Lederman, Daniel & Saenz, Laura, 2005. "Innovation and development around the world, 1960-2000," Policy Research Working Paper Series 3774, The World Bank.
    12. Tung Liu & Kui-Wai Li, 2008. "Revisiting Solow’s Decomposition of Economic and Productivity Growth," Working Papers 200805, Ball State University, Department of Economics, revised Dec 2008.
    13. Jan Fagerberg & Martin Srholec, 2017. "Global Dynamics, Capabilities and the Crisis," Economic Complexity and Evolution, in: Andreas Pyka & Uwe Cantner (ed.), Foundations of Economic Change, pages 83-106, Springer.
    14. Hadi Sasana & Imam Ghozali, 2017. "The Impact of Fossil and Renewable Energy Consumption on the Economic Growth in Brazil, Russia, India, China and South Africa," International Journal of Energy Economics and Policy, Econjournals, vol. 7(3), pages 194-200.
    15. Kumar, Sanjesh & Singh, Baljeet, 2019. "Barriers to the international diffusion of technological innovations," Economic Modelling, Elsevier, vol. 82(C), pages 74-86.
    16. repec:spo:wpmain:info:hdl:2441/2091 is not listed on IDEAS
    17. Cornelia Serena, PASCA, 2016. "The Human Capital - A Long Term Investment," Contemporary Economy Journal, Constantin Brancoveanu University, vol. 1(4), pages 51-62.
    18. Gordon Cordina, 2004. "Economic Vulnerability And Economic Growth: Some Results From A Neo-Classical Growth Modelling Approach," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 29(2), pages 21-39, December.
    19. Sorin Celea & Petre Brezeanu & Ana Petrina Păun, 2013. "Fiscal Discipline within the EU: Comparative Analysis," Annals of the University of Petrosani, Economics, University of Petrosani, Romania, vol. 13(2), pages 23-30.
    20. Joshua Hall & Robert Lawson, 2008. "Theory and evidence on economic freedom and economic growth: A comment," Economics Bulletin, AccessEcon, vol. 15(18), pages 1-6.
    21. Roberto Martino & Phu Nguyen-Van, 2014. "Labour market regulation and fiscal parameters: A structural model for European regions," Working Papers of BETA 2014-19, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.

    More about this item

    Keywords

    neoclassical growth model; golden rula of capital accumulation; Cobb-Douglas function; Harrod-Domar condition;
    All these keywords.

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical

    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:pra:mprapa:12174. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.