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

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  • Barelli, Paulo
  • Pessôa, Samuel de Abreu

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.

Suggested Citation

  • Barelli, Paulo & Pessôa, Samuel de Abreu, 2003. "Inada conditions imply that production function must be asymptotically Cobb-Douglas," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 477, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
    • Handle: RePEc:fgv:epgewp:477
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    Cited by:

    1. Mehdi Senouci, 2012. "Technical change in a neoclassical two-sector model of optimal growth," Working Papers halshs-00589627, HAL.
    2. 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.
    3. Jürgen Antony, 2010. "A class of changing elasticity of substitution production functions," Journal of Economics, Springer, vol. 100(2), pages 165-183, June.
    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. Constantin Chilarescu & Nicolas Vaneecloo, 2007. "A Stochastic Approach to the Cobb-Douglas Production Function," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    7. 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).
    8. repec:ebl:ecbull:v:3:y:2007:i:9:p:1-8 is not listed on IDEAS
    9. 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.
    10. 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).
    11. 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.
    12. 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.
    13. 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.
    14. Richard M. H. Suen, 2009. "Bounding the CRRA Utility Functions," Working Papers 200902, University of California at Riverside, Department of Economics, revised Feb 2009.
    15. de la Fonteijne, Marcel R., 2015. "Do Inada Conditions imply Cobb-Douglas Asymptotic Behavior or only a Elasticity of Substitution equal to one," MPRA Paper 82304, University Library of Munich, Germany.

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