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

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  • 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 Economics Working Papers (Ensaios Economicos da EPGE) with number 477.

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

    1. Paulina Restrepo-Echavarria & Mark Wright & Lee Ohanian, 2015. "Bad Investments and Missed Opportunities? Capital Flows to Asia and Latin America, 1950-2007," 2015 Meeting Papers 1377, Society for Economic Dynamics.
    2. Mehdi Senouci, 2012. "Technical change in a neoclassical two-sector model of optimal growth," Working Papers halshs-00589627, HAL.
    3. 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).
    4. 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).
    5. Jürgen Antony, 2010. "A class of changing elasticity of substitution production functions," Journal of Economics, Springer, vol. 100(2), pages 165-183, June.
    6. 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.
    7. Constantin Chilarescu & Nicolas Vaneecloo, 2007. "A Stochastic Approach to the Cobb-Douglas Production Function," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    8. Suen, Richard M. H., 2009. "Bounding the CRRA Utility Functions," MPRA Paper 13260, University Library of Munich, Germany.
    9. 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.
    10. Lee E. Ohanian & Paulina Restrepo-Echavarria & Mark L. J. Wright, 2015. "Bad Investments and Missed Opportunities? Postwar Capital Flows to Asia and Latin America," NBER Working Papers 21744, National Bureau of Economic Research, Inc.
    11. Wahl, Jack E. & Broll, Udo, 2009. "Mitigation of foreign Direct investment risk and hedging," Dresden Discussion Paper Series in Economics 13/09, Dresden University of Technology, Faculty of Business and Economics, Department of Economics.
    12. 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.
    13. repec:ebl:ecbull:v:3:y:2007:i:9:p:1-8 is not listed on IDEAS
    14. 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.

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