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On the minimality of quasi‐sum production models in microeconomics.
- Source :
-
Mathematical Methods in the Applied Sciences . Aug2022, Vol. 45 Issue 12, p7607-7630. 24p. - Publication Year :
- 2022
-
Abstract
- Historically, the minimality of surfaces is extremely important in mathematics, and the study of minimal surfaces is a central problem, which has been widely concerned by mathematicians. Meanwhile, the study of the shape and the properties of the production models is a great interest subject in economic analysis. The aim of this paper is to study the minimality of quasi‐sum production functions as graphs in a Euclidean space. We obtain minimal characterizations of quasi‐sum production functions with two or three factors as hypersurfaces in Euclidean spaces. As a result, our results also give a classification of minimal quasi‐sum hypersurfaces in dimensions two and three. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 45
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 157891353
- Full Text :
- https://doi.org/10.1002/mma.8265