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Econometrica Vol. 45 No. 1 1977

Ray-Homothetic Production Functions

Rolf Färe; Ronald W. Shephard

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 L(u) and P(x) are convex, linear structured expansion paths imply input mix and output mix independent ray homothetic structures.

DOI
10.2307/1913291
Volume
45
Issue
1
Pages
133
Sources
bibtex:phds-export.bib openalex crossref

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