scholarly journals On the Production Function with Variable Elasticity of Factor Substitution

2018 ◽  
Author(s):  
Constantin Chilarescu

2020 ◽  
Vol 13 (2) ◽  
pp. 21 ◽  
Author(s):  
Nguyen Ngoc Thach

Most studies in Vietnam use the Cobb-Douglas production function and its modifications for economic analysis. Extremely rigid presumptions are a main weak point of this functional form, particularly if the elasticity of factor substitution (ES) is equal to one, which hides the role of the ES for economic growth. The CES (constant elasticity of substitution) production function with more flexible presumptions, concretely its ES, is not unitary, and has been used more and more widely in economic investigations. So, this study is conducted to estimate the average ES through the specification of an aggregate CES function for the Vietnamese nonfinancial enterprises. By performing Bayesian nonlinear mixed-effects regression via Random-walk Metropolis Hastings (MH) algorithm, based on the data set of the listed nonfinancial enterprises of Vietnam, the author found that the CES function estimated for the researched enterprises has an ES lower than one, i.e., capital and labor are complimentary. This finding shows that Vietnamese nonfinancial enterprises can confront a downward trend of output growth.



2000 ◽  
Vol 4 (3) ◽  
pp. 415-421
Author(s):  
Michael J. Panik

This paper utilizes the concept of almost homogeneity to obtain a generalization of the elasticity of factor substitution. From this, an expression for the bias to technical change is derived that explicitly includes the individual degrees of input homogeneity. It is shown that the relative values of these homogeneity parameters can affect the magnitude and direction of the factor-saving bias to technical change. These parameters also influence the size of the residual or unexplained component of aggregate output growth.



2010 ◽  
Vol 14 (5) ◽  
pp. 617-628 ◽  
Author(s):  
Theodore Palivos ◽  
Giannis Karagiannis

This paper characterizes the elasticity of factor substitution in one-sector convex growth models with a general production function. It shows that an elasticity of substitution that is asymptotically greater than unity is a sufficient (but not a necessary) condition for the existence of a lower bound on the marginal product of capital, which in turn can lead to unbounded endogenous growth. Hence, an elasticity of substitution that eventually becomes greater than unity can counteract the role of diminishing returns to capital. This renders factor substitution a powerful engine of growth.



2018 ◽  
Vol 30 (3) ◽  
pp. 385-407 ◽  
Author(s):  
Feng Wang ◽  
Yijie Jiang ◽  
Wulin Zhang ◽  
Fang Yang

Based on the translog cost function and factor substitution theory, the input and output data from China’s industrial sector and the three sub-sectors during the period 1984–2011 are firstly used to calculate substitution elasticity among capital, labor, energy, and intermediate input. And then from the perspective of factor substitution, the driving factors of energy intensity in China’s industry are explored. The main findings introduced in this paper are listed as follows: firstly, the production of China’s industrial sector is sensitive to changes of energy and labor prices; secondly, except the complementary relationships between energy and labor in the manufacturing industry, and between energy and intermediate input in electricity, gas, and water industry, substitution relationships exist among all other factors; thirdly, the budget constraint of energy consumption is the most effective impetus to the reduction of energy intensity in industrial sector, and factor substitution especially the substitution of capital and labor for energy has an important role in the reduction of energy intensity; fourthly, the rapid expansion of economic scale causes output effect to become the biggest factor of impeding the reduction of energy intensity; fifthly, technical progress has different effects on energy intensities in different industrial sub-sectors, but generally speaking, technical progress does not promote the reduction of energy intensity.





2009 ◽  
Vol 50 (1) ◽  
pp. 47-62
Author(s):  
Ruth Rose Parker

Abstract This linear programming model for educational planning, by allowing for choice among techniques of production, permits the introduction of non-constant factor substitution into the production function. The model is applied to educational planning in France and treats simultaneously four kinds of educated manpower and capital in the seven major industrial sectors of an economy. Alternative techniques are drawn from seven other countries for which reasonably comparable data are available. These techniques of production define the production function and determine the demand for educated manpower and capital independently of the supply of these factors. An initial static model maximizes GNP (holding its composition constant) subject to a fixed supply of manpower and capital. The model thus tests whether supply is the constraining factor in the choice of technique in theshort run. In the case tested, it is. In the dynamic version of the model, supply is allowed to increase by means of education (for manpower) and investment (for physical capital). Consumable GNP, that is GNP net of the cost of education and investment, is maximized. Terminal capital stock problems make it impossible to test the model directly. The problem is then broken down into two steps: the identification of the techniques (one for each industry) which permit the greatest net contribution to GNP, and the movement in time towards these "optimal" techniques. The first of these steps is solved using a dual version of the model, but the second is not attempted in this paper.





Sign in / Sign up

Export Citation Format

Share Document