2000
DOI: 10.1111/1467-9442.00183
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CES Production Functions and Economic Growth

Abstract: We examine inconsistencies and controversies related to the use of CES production functions in growth models. First, we show that not all variants of CES functions commonly used are consistently speci®ed. Second, using a simple growth model, we ®nd that a higher elasticity of substitution leads to a higher steady state and makes the emergence of permanent growth more probable. It is also pointed out that the effect of a higher elasticity of substitution on the speed of convergence depends on the relative scarc… Show more

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Cited by 158 publications
(166 citation statements)
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“…The added flexibility of the CES production function allows us to investigate the role of the elasticity of substitution in growth. As Klump and Preissler (2000) show analytically, and Masanjala and Papageorgiou (2004), Duffy and Papageorgiou (2000) show empirically using an international data set, the elasticity of substitution can play in important role in the growth process.…”
mentioning
confidence: 93%
“…The added flexibility of the CES production function allows us to investigate the role of the elasticity of substitution in growth. As Klump and Preissler (2000) show analytically, and Masanjala and Papageorgiou (2004), Duffy and Papageorgiou (2000) show empirically using an international data set, the elasticity of substitution can play in important role in the growth process.…”
mentioning
confidence: 93%
“…More recently, La Grandville (1989) gives proof of the positive relationship between the elasticity of substitution and the output level. On the discussion about the theoretical and empirical role of the CES in the dynamic macroeconomics, see also Klump and Preissler 2000, Klump and La Grandville 2000, and La Grandville 2009 Furthermore, the paper represents a contribution to the long tradition of continuous time disequilibrium models. Such an approach assumes non-market clearing and disequilibrium adjustment processes.…”
Section: Related Literaturementioning
confidence: 99%
“…From a theoretical point of view, fixing (X t , K t , E t , β E t ) is a means of normalizing the CES production function in the sense of Klump and de La Grandeville (2000) as well as Klump and Preissler (2000). In this paper, the normalization is effected by using the sample means of the random variables b(ρ; ·) and D(ρ; ·) conditional on ρ, i.e.…”
Section: Estimating the Ces Production Functionmentioning
confidence: 99%
“…Its specification consists, on the one hand, in estimating the elasticity of substitution between capital and energy with a time-series model of energy demand using cointegration methodology. On the other hand, the CES is normalized following the idea of Klump and de La Grandeville (2000) and Klump and Preissler (2000). Both elements of the specification exercise involve separate sources of model uncertainty, which is captured by presenting the central results as point estimates surrounded by confidence bands.…”
mentioning
confidence: 99%