The Cobb-Gouglas function as an approximation of other functions
AbstractBy defining the Variable Output Elasticities Cobb-Douglas function, this article shows that a large class of production functions can be approximated by a Cobb-Douglas function with nonconstant output elasticity. Compared to standard flexible functions such as the Translog function, this framework has several advantages. It requires only the use of the first order approximation while respecting the theoretical curvature conditions of the isoquants. This greatly facilitates the deduction of linear input demands function without the need of involving the duality theorem. Moreover, it allows for a generalization of the CES function to the case where the elasticity of substitution between each pair of inputs is not necessarily the same.
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Bibliographic InfoPaper provided by Observatoire Francais des Conjonctures Economiques (OFCE) in its series Documents de Travail de l'OFCE with number 2011-21.
Date of creation: Oct 2011
Date of revision:
flexible production functions; Cobb-Douglas function; CES function.;
Other versions of this item:
- Frédéric Reynès, 2011. "The cobb-douglas function as an approximation of other functions," Sciences Po publications 2011-21, Sciences Po.
- D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
- E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
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