On the minimality of quasi‐sum production models in microeconomics. (28th March 2022)

• Record Type: Journal Article
• Authors: Du, Yawei; Fu, Yu; Wang, Xiaoshu
• Is Part Of: Mathematical methods in the applied sciences. Volume 45:Number 12(2022)
• Page Start: 7607
• Page End: 7630
• Publication Date: 2022-03-28
• Subjects: minimal surfaces -- production hypersurface -- production models; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.8265
• Languages: English
• ISSNs: 0170-4214

Abstract

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.