Open Access
2013 Some Characterizations of the Cobb-Douglas and CES Production Functions in Microeconomics
Xiaoshu Wang, Yu Fu
Abstr. Appl. Anal. 2013: 1-6 (2013). DOI: 10.1155/2013/761832


It is well known that the study of the shape and the properties of the production possibility frontier is a subject of great interest in economic analysis. Vîlcu (Vîlcu, 2011) proved that the generalized Cobb-Douglas production function has constant return to scale if and only if the corresponding hypersurface is developable. Later on, the authors A. D. Vîlcu and G. E. Vîlcu, 2011 extended this result to the case of CES production function. Both results establish an interesting link between some fundamental notions in the theory of production functions and the differential geometry of hypersurfaces in Euclidean spaces. In this paper, we give some characterizations of minimal generalized Cobb-Douglas and CES production hypersurfaces in Euclidean spaces.


Download Citation

Xiaoshu Wang. Yu Fu. "Some Characterizations of the Cobb-Douglas and CES Production Functions in Microeconomics." Abstr. Appl. Anal. 2013 1 - 6, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095342
MathSciNet: MR3147814
Digital Object Identifier: 10.1155/2013/761832

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
Back to Top