Accession Number:

ADA010138

Title:

Ray-Homothetic Production Functions.

Descriptive Note:

Research rept.,

Corporate Author:

CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

Personal Author(s):

• Fare,Rolf
• Shephard,Ronald W.

Report Date:

1975-03-01

Pagination or Media Count:

25.0

Abstract:

A class of production correspondences defined as ray-homothetic is introduced to span the familiar homogeneous, homothetic, semi-homogeneous and quasi-homogeneous production structures. It is found that ray homothetic structures which are output mix input mix independent lead to a scaling law of common form with the more special structures spanned, and imply price independent expansion paths of linear structure. Also, if inputs and outputs are strongly disposable and the input and output sets Lu and Px are convex, linear structured expansion paths imply input mix and output mix independent ray homothetic structures.

Descriptors:

• *ECONOMIC MODELS
• SET THEORY
• THEOREMS

Subject Categories:

• Economics and Cost Analysis
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE