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Inada conditions imply that production function must be asymptotically Cobb-Douglas

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Listed author(s):
  • Barelli, Paulo
  • Pessoa, Samuel de Abreu
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    Abstract

    We show that every twice-continuously differentiable and strictly concave function f : R+ → R+ can be bracketed between two C.E.S. functions at each open interval. In particular, for the Inada conditions to hold, a production function must be asymptotically Cobb-Douglas.

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    Paper provided by FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil) in its series FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) with number 477.

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    Date of creation: 25 Mar 2003
    Handle: RePEc:fgv:epgewp:477
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    Cited by:

    1. repec:ebl:ecbull:v:3:y:2007:i:9:p:1-8 is not listed on IDEAS
    2. Suen, Richard M. H., 2009. "Bounding the CRRA Utility Functions," MPRA Paper 13260, University Library of Munich, Germany.
    3. Ohanian, Lee E. & Restrepo-Echavarria, Paulina & Wright, Mark L. J., 2015. "Bad Investments and Missed Opportunities? Postwar Capital Flows to Asia and Latin America," Working Paper Series WP-2015-8, Federal Reserve Bank of Chicago, revised 04 Nov 2015.
    4. Ohanian, Lee E. & Restrepo-Echavarria, Paulina & Wright, Mark L. J., 2013. "Bad Investments and Missed Opportunities? Capital Flows to Asia and Latin America, 1950-2007," Working Papers 2014-38, Federal Reserve Bank of St. Louis, revised 16 May 2017.
    5. Litina, Anastasia & Palivos, Theodore, 2010. "The Behavior Of The Saving Rate In The Neoclassical Optimal Growth Model," Macroeconomic Dynamics, Cambridge University Press, vol. 14(04), pages 482-500, September.
    6. Stefan baumgärtner, 2004. "The Inada Conditions for Material Resource Inputs Reconsidered," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 29(3), pages 307-322, November.
    7. Alcalá, Luis A., 2014. "On the relation between regular variation and the asymptotic elasticity of substitution," Economics Letters, Elsevier, vol. 125(1), pages 29-31.
    8. Gilberto Gonz\'alez-Parra & Benito Chen-Charpentier & Abraham J. Arenas & Miguel Diaz-Rodriguez, 2015. "Mathematical modeling of physical capital using the spatial Solow model," Papers 1504.04388, arXiv.org.
    9. Jürgen Antony, 2010. "A class of changing elasticity of substitution production functions," Journal of Economics, Springer, vol. 100(2), pages 165-183, June.
    10. Richard Green and Nicholas Vasilakos, 2012. "Storing Wind for a Rainy Day: What Kind of Electricity Does Denmark Export?," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3).
    11. Constantin Chilarescu & Nicolas Vaneecloo, 2007. "A Stochastic Approach to the Cobb-Douglas Production Function," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    12. Wahl, Jack E. & Broll, Udo, 2009. "Mitigation of foreign Direct investment risk and hedging," Dresden Discussion Paper Series in Economics 13/09, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    13. David I. Stern and Astrid Kander, 2012. "The Role of Energy in the Industrial Revolution and Modern Economic Growth," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3).

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