Homotheticity and non-radial changes

被引：16

作者：

Chambers, RG ^{[1
]}

Mitchell, T

机构：

[1] Univ Maryland, Dept Agr & Resource Econ, College Pk, MD 20742 USA

[2] So Illinois Univ, Dept Econ, Carbondale, IL 62901 USA

来源：

JOURNAL OF PRODUCTIVITY ANALYSIS | 2001年 / 15卷 / 01期

关键词：

cost function; homotheticity; separability;

D O I：

10.1023/A:1026543822945

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

Fare and Mitchell (1992) have shown that cost functions for a multi-output firm obey a particular output-scaling law if and only if the underlying production technology is ray-homothetic. Multi-output firms, however, frequently change their output mix in addition to their scale. Therefore, it is important to identify technologies that possess relatively tractable analytical characteristics when subjected to non-radial changes in the output vector. This paper considers additive and other, more general, changes in the output vector. One result shows that the cost function obeys an "output-translation law'' if and only if the input correspondence is input homothetic, thus suggesting that "input homotheticity'' is more than just an "input-scaling'' property.

引用

页码：31 / 39

页数：9