Ces Production Function: Estimates of Elasticity of Substitution, Returns to Scale and Technical Progress in Australian Manufacturing Industries

1984 ◽  
Vol 14 (1) ◽  
pp. 30-46
Author(s):  
A.M.M. Masih
1989 ◽  
Vol 28 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Ashfaque H. Khan

Production functions have been widely studied in the relevant literature. In this paper, apart from labour and capital, we have used energy as a factor input and calculated the elasticity of substitution between these inputs, measured technical progress, and determined the returns to scale in the manufacturing sector of Pakistan. Since we have more than two factors of production, the standard Cobb· Douglas and CES production functions do not provide satisfactory results. Hence, two·level (nested) CES production function becomes the natural choice for the appropriate technology. Using this technology, we have found low elasticity of substitution between the three factors of production. Furthermore, the manufacturing sector is found to exhibit decreasing returns to scale, having experienced disembodied technical progress at the rate of 3.7 percent per annum.


2011 ◽  
Vol 3 (2) ◽  
pp. 112
Author(s):  
Martin Williams ◽  
Tuan Ton-That

A nonhomogeneous production is used to study the features of the production technology across U.S. cities. We compute marginal productivities and scale elasticities for different levels of inputs and outputs. The form of the production function allows variable returns to scale. We can also test the Cobb-Douglas and constant elasticity of substitution forms within the nonhomogeneous specification. Conclusions are drawn concerning returns to scale across cities of different sizes.


2021 ◽  
Author(s):  
Françoise Larbre

Depending on the workers qualification, the use of robots is perceived either as a helpful tool or as a competitor. We analyze the substitution of capital for labor, including the case where the product is entirely made by robots. We use CES production functions and their derived cost functions (the later being surprisingly missing in the literature). We focus on short-run and the case of an elasticity of substitution greater than 1. We highlight a level of product for which the cost is identical regardless of the factor used. As a joint product, we provide a foundation to cost functions exhibiting first increasing and then decreasing returns to scale (a so far missing justification to the usually assumed shape of cost functions).


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