Functional forms for technical change functions

✍ Scribed by Thomas Mitchell; Daniel Primont

• Book ID: 104647024
• Publisher: Springer
• Year: 1991
• Tongue: English
• Weight: 496 KB
• Volume: 2
• Category: Article
• ISSN: 0895-562X
• DOI: 10.1007/bf00156344

✦ Synopsis

In this paper we examine the four properties of technical change functions introduced by Sato [1980, 1981], paying particular attention to the composition property. We show by way of examples that two of the properties are independent, but that a third is a necessary consequence of two others. A theorem providing a necessary condition for the composition property is stated and proved. Finally, we identify the general continuous functional form of technical change functions for which the efficiency of factor i is independent of the quantities of all factors j ;~ i. Noting an unappealing characteristic of a member of this class of transformations, we propose an additional property for technical change functions and note that it is independent of the others.