Regions of substitution, curves of minimal cost, and isoquants of homogeneous production functions

1968 ◽  
Vol 1 (1-2) ◽  
pp. 202-203
Author(s):  
Wolfgang Eichhorn ◽  
Udo Müller
Keyword(s):  
Production Functions ◽  
Minimal Cost ◽  
Homogeneous Production

A Family Tree of Linearly Homogeneous Production Functions

1989 ◽  
Vol 91 (4) ◽  
pp. 749 ◽  
Author(s):  
Rolf Färe ◽  
Thomas M. Mitchell ◽  
Rolf Fare
Keyword(s):  
Production Functions ◽  
Family Tree ◽  
Homogeneous Production

scholarly journals On Quasi-Homogeneous Production Functions

Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 976 ◽  
Author(s):  
Alina-Daniela Vîlcu ◽  
Gabriel-Eduard Vîlcu
Keyword(s):  
Production Function ◽  
Production Functions ◽  
Marginal Rate ◽  
Constant Elasticity ◽  
Marginal Rate Of Substitution ◽  
Production Models ◽  
Homogeneous Production ◽  
Rate Of Substitution ◽  
Homogeneous Production Function

In this paper, we investigate the class of quasi-homogeneous production models, obtaining the classification of such models with constant elasticity with respect to an input as well as with respect to all inputs. Moreover, we prove that a quasi-homogeneous production function f satisfies the proportional marginal rate of substitution property if and only f reduces to some symmetric production functions.

scholarly journals A geometric characterization of homogeneous production models in economics

Filomat ◽  
2016 ◽  
Vol 30 (13) ◽  
pp. 3465-3471 ◽  
Author(s):  
Xiaoshu Wang
Keyword(s):  
Sectional Curvature ◽  
Production Function ◽  
Geometric Characterization ◽  
Production Functions ◽  
Constant Return ◽  
Production Models ◽  
Graph Hypersurfaces ◽  
Homogeneous Production ◽  
Homogeneous Production Function

In this paper, we give a simple geometric characterization of homogeneous production functions, by studying geometric properties of their associated graph hypersurfaces. For a homogeneous production function, we prove that its corresponding hypersurface with constant sectional curvature must be flat. Therefore, by combining this with Chen and V?lcu?s recent results, we obtain a new geometric characterization of homogeneous production functions having constant return to scale.

scholarly journals On Homogeneous Production Functions with Proportional Marginal Rate of Substitution

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Alina Daniela Vîlcu ◽  
Gabriel Eduard Vîlcu
Keyword(s):  
Production Function ◽  
Production Functions ◽  
Marginal Rate ◽  
Constant Elasticity ◽  
Marginal Rate Of Substitution ◽  
Homogeneous Production ◽  
Rate Of Substitution

We completely classify homogeneous production functions with proportional marginal rate of substitution and with constant elasticity of labor and capital, respectively. These classifications generalize some recent results of C. A. Ioan and G. Ioan (2011) concerning the sum production function.

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