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A Stochastic Approach to the Cobb-Douglas Production Function

Author

Listed:
  • Constantin Chilarescu

    (Department of Economics, West University of Timisoara)

  • Nicolas Vaneecloo

    (Department of Economics, University of Lille 1)

Abstract

This paper presents a stochastic approach to the theory of aggregateproduction function, based on the theory of stochastic differentialequations. The main result is that under certain restrictions the productionfunction converges from below to the Cobb-Douglas functionproviding further support for the conclusion drawn by Jones (2005).

Suggested Citation

  • Constantin Chilarescu & Nicolas Vaneecloo, 2007. "A Stochastic Approach to the Cobb-Douglas Production Function," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    • Handle: RePEc:ebl:ecbull:eb-06c20080
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    References listed on IDEAS

    as
    1. F. A. Lutz, 1961. "The Theory of Capital," International Economic Association Series, Palgrave Macmillan, number 978-1-349-08452-4 edited by D. C. Hague, December.
    2. 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.
    3. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    4. I Fraser, 2002. "The Cobb-Douglas Production Function: An Antipodean Defence?," Economic Issues Journal Articles, Economic Issues, vol. 7(1), pages 39-58, March.
    5. 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.
    6. Nicholas Kaldor, 1961. "Capital Accumulation and Economic Growth," International Economic Association Series, in: D. C. Hague (ed.), The Theory of Capital, chapter 0, pages 177-222, Palgrave Macmillan.
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    Citations

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    Cited by:

    1. Ioana VIASU & Constantin CHILARESCU, 2011. "A Semigroups Approach to the Study of a Second Order Partial Diferential Equation Applied in Economics," Timisoara Journal of Economics, West University of Timisoara, Romania, Faculty of Economics and Business Administration, vol. 4(4(16)), pages 239-244.
    2. Yashin, Pete, 2016. "Кризис И Рост Неравенства. Оптимальный Путь Экономического Роста [The crisis and increasing inequality. The best equilibrium growth path]," MPRA Paper 73544, University Library of Munich, Germany.
    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.

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    More about this item

    Keywords

    Partial differential equations;

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • D2 - Microeconomics - - Production and Organizations

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