Production Functions with Variable Elasticity of Substitution: A Comment

1973 ◽  
Vol 55 (3) ◽  
pp. 394 ◽  
Author(s):  
Iwao Nakatani
Keyword(s):  
Production Functions ◽  
Elasticity Of Substitution

scholarly journals Local and Global Dynamics in a Discrete Time Growth Model with Nonconcave Production Function

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Serena Brianzoni ◽  
Cristiana Mammana ◽  
Elisabetta Michetti
Keyword(s):  
Production Function ◽  
Growth Model ◽  
Discrete Time ◽  
Production Functions ◽  
Elasticity Of Substitution ◽  
Global Dynamics ◽  
Production Factors ◽  
Local And Global Dynamics ◽  
Complex Features

We study the dynamics shown by the discrete time neoclassical one-sector growth model with differential savings while assuming a nonconcave production function. We prove that complex features exhibited are related both to the structure of the coexixting attractors and to their basins. We also show that complexity emerges if the elasticity of substitution between production factors is low enough and shareholders save more than workers, confirming the results obtained while considering concave production functions.

Educational Production Functions

1978 ◽  
Vol 3 (3) ◽  
pp. 209-231 ◽  
Author(s):  
Solomon W. Polachek ◽  
Thomas J. Kniesner ◽  
Henrick J. Harwood
Keyword(s):  
Academic Achievement ◽  
Maximum Likelihood ◽  
Production Function ◽  
Production Functions ◽  
Elasticity Of Substitution ◽  
Likelihood Methods ◽  
Educational Backgrounds ◽  
Scholastic Performance ◽  
Maximum Likelihood Methods ◽  
Educational Production

This research examines scholastic performance within the context of an individual’s production function. A constant partial elasticity of substitution production function for academic achievement is presented and estimated with non linear maximum likelihood methods. We find that ability and time devoted to various aspects of the learning process are the most important determinants of students’ accomplishments. Our results underscore the potential for students to compensate for relatively “poor” educational backgrounds by spending more time on study and class attendance.

Using derived demand techniques to estimate Ontario roundwood demand

1983 ◽  
Vol 13 (6) ◽  
pp. 1174-1184 ◽  
Author(s):  
J. C. Nautiyal ◽  
B. K. Singh
Keyword(s):  
Paper Industry ◽  
Forest Products ◽  
Pulp And Paper Industry ◽  
The Other ◽  
Production Functions ◽  
Elasticity Of Substitution ◽  
Lumber Industry ◽  
Constant Elasticity ◽  
Constant Elasticity Of Substitution ◽  
Derived Demand

Derived demand for roundwood created by the three major forest-products industries in Ontario from 1952 to 1980 was estimated from the production functions of the industries. The Cobb–Douglas function represents the lumber and the veneer and plywood industries, and the constant elasticity of substitution (CES) function represents the pulp and paper industry. In all three industries, the derived demand for roundwood is price inelastic. A theorem that the sum of partial price elasticities of derived demand when output of the final product is held constant is equal to zero has been proved. Demand by the lumber industry showed regular fluctuations throughout the 29-year period of study, while that by the other two industries rose steadily except for a few slumps.

scholarly journals Fonctions de production dans l’économie du Québec

2009 ◽  
Vol 54 (2) ◽  
pp. 176-206 ◽  
Author(s):  
Vittorio Corbo ◽  
Jean-Marie Dufour
Keyword(s):  
Strong Evidence ◽  
Economic Activity ◽  
Returns To Scale ◽  
Production Functions ◽  
Elasticity Of Substitution ◽  
True Model ◽  
Utilities Services ◽  
Capital Construction ◽  
Constant Returns To Scale ◽  
Work First

The purpose of this paper is to study the characteristics of the production process in the Quebec economy. We devote particular attention to two features of the technology: the returns to scale and the substitution possibilities. Two forms of production functions, the Cobb-Douglas and an homothetic translog production function, are estimated for six branches of economic activity. These are: Agriculture; Fishing and Forestry; Mining; Quarying and Oil Wells; Manufacturing; Utilities; Services. Two main conclusions are derived from this work. First, there is strong evidence of constant returns to scale in all branches of the Quebec economy but services. Second, when comparing the Cobb-Douglas model with an homothetic translog model, the hypothesis that the true model is the Cobb-Douglas one cannot be rejected for five of our six sectors. Therefore, there is evidence that the elasticity of substitution is around one. Finally a byproduct of our work has been the construction of capital stock series for the Quebec economy (1960-73) disaggregated into 14 sectors, and two types of capital: construction and machinery and equipment.

CONSTANT-ELASTICITY-OF-SUBSTITUTION PRODUCTION FUNCTION

2008 ◽  
Vol 12 (5) ◽  
pp. 694-701 ◽  
Author(s):  
Hideki Nakamura ◽  
Masakatsu Nakamura
Keyword(s):  
Production Function ◽  
Capital Accumulation ◽  
Specific Form ◽  
Production Functions ◽  
Elasticity Of Substitution ◽  
Intermediate Goods ◽  
Constant Elasticity ◽  
Constant Elasticity Of Substitution ◽  
Douglas Production Function

We consider endogenous changes of inputs from labor to capital in the production of intermediate goods, i.e., a form of mechanization. We derive complementary relationships between capital accumulation and mechanization by assuming a Cobb–Douglas production function for the production of final goods from intermediate goods. A constant-elasticity-of-substitution production function in which the elasticity of substitution exceeds unity can be endogenously derived as the envelope of Cobb–Douglas production functions when the efficiency of inputs is assumed in a specific form. The difficulty of mechanization represents the elasticity of substitution.

Public Input Provision, Tax Base Mobility, and External Ownership

2021 ◽  
Vol 49 (5) ◽  
pp. 754-776
Author(s):  
Mutsumi Matsumoto
Keyword(s):  
Public Policy ◽  
Production Functions ◽  
Elasticity Of Substitution ◽  
Tax Base ◽  
Constant Elasticity ◽  
Constant Elasticity Of Substitution ◽  
Public Input ◽  
Optimal Rule ◽  
Public Inputs ◽  
The Impact

This article investigates the distortionary impacts of tax base mobility and external ownership on public input provision. Regional governments compete for mobile tax bases (e.g., business capital). The impact of regional public policy partially accrues to non-residents because immobile factors (e.g., business land) are subject to external ownership. This article derives an optimal rule for regional public input provision that illustrates how these two distortionary impacts depend on the nature of production functions. The impact of external ownership is particularly complex. To explore this impact in detail, the case of production functions with constant elasticity of substitution is examined. Public inputs with different productivity impacts yield fairly different implications of external ownership for inefficient public input provision.

scholarly journals MONETARY POLICY, FACTOR SUBSTITUTION, AND CONVERGENCE

2016 ◽  
Vol 22 (1) ◽  
pp. 63-76
Author(s):  
Rainer Klump ◽  
Anne Jurkat
Keyword(s):  
Monetary Policy ◽  
Steady State ◽  
Production Functions ◽  
Elasticity Of Substitution ◽  
Model Parameters ◽  
Speed Of Convergence ◽  
Constant Elasticity ◽  
Constant Elasticity Of Substitution ◽  
Factor Substitution ◽  
The Impact

In this paper, we examine the influence of monetary policy on the speed of convergence in a standard monetary growth model à la Sidrauski allowing for differences in the elasticity of substitution between factors of production. The respective changes in the rate of convergence and its sensitivities to the central model parameters are derived both analytically and numerically. By normalizing the constant elasticity of substitution (CES) production functions both outside the steady state and within the steady state, it is possible to distinguish between an efficiency and a distribution effect of a change in the elasticity of substitution. We show that monetary policy is the more effective, the lower is the elasticity of substitution, and that the impact of monetary policy on the speed of convergence is mainly channeled via the efficiency effect.

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