de la Fonteijne, Marcel R. (2015): Do Inada Conditions imply Cobb-Douglas Asymptotic Behavior or only a Elasticity of Substitution equal to one.
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Abstract
Barelli and De Breu Passôa proved that Inada conditions imply asymptotic Cobb-Douglas behavior of the production function. This was corrected by Litina and Palivos by putting that only the elasticity of substitution is equal to one. We will correct both proof and arguments and come up with a proof without limitations, leaving the conclusion of Barelli unaltered but with a less restrictive proof. Furthermore if Inada conditions apply then the elasticity of substitution is bounded.
Item Type: | MPRA Paper |
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Original Title: | Do Inada Conditions imply Cobb-Douglas Asymptotic Behavior or only a Elasticity of Substitution equal to one |
English Title: | Do Inada Conditions imply Cobb-Douglas Asymptotic Behavior or only a Elasticity of Substitution equal to one |
Language: | English |
Keywords: | Inada condition, production function, elasticity of substitution, Cobb-Douglas |
Subjects: | E - Macroeconomics and Monetary Economics > E1 - General Aggregative Models > E13 - Neoclassical E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E23 - Production |
Item ID: | 82304 |
Depositing User: | Marcel R. de la Fonteijne |
Date Deposited: | 02 Nov 2017 16:50 |
Last Modified: | 26 Sep 2019 18:52 |
References: | Barelli, P., Abreu Pessôa S. de, 2003, Inada conditions imply that production function must be asymptotically Cobb–Douglas, Economics Letters 81 (2003) 361 – 363 http://bibliotecadigital.fgv.br/dspace/handle/10438/1012 Hahn, Frank H., (1965), On Two-Sector Growth Models, Review of Economic Studies, Vol. 32, No. 4 (Oct., 1965), pp. 339-346, http://www.jstor.org/stable/2295840 Inada, K.-I., 1963, On a two-sector model of economic growth: comments and a generalization. Review of Economic Studies, 30 (2), 119–127, http://www.jstor.org/stable/2295809 Litina, A., Palivos, T., 2008, Do Inada conditions imply that production function must be asymptotically Cobb–Douglas? A comment, Economics Letters 99 (2008) 498–499 http://bibliotecadigital.fgv.br/dspace/bitstream/10438/1012/3/1324.pdf Rainer Klump, McAdam, P., Willman, A., 2011, the normalized CES Production function theory and empirics, ECB Working Paper Series, No 1294, http://ssrn.com/abstract_id=1761410 Solow, R.M., 1956, A contribution to the theory of economic growth, Quarterly Journal of Economics, Vol. 70(1956) Solow, R.M., 1961, Note on Uzawa’s two-sector model of economic growth, Review of Economic Studies, Vol. 29: p. 48–50, http://www.jstor.org/stable/2296181 Uzawa, H., 1961, On a two-sector model of economic growth, Review of Economic Studies, Vol. 29 (1961-1962) Uzawa, H., 1962, On a two-sector model of economic growth II, Review of Economic Studies, Vol. 30 (1962-1963) |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/82304 |