On the minimality of quasi-sum production models in microeconomics
- Yawei Du,
- Yu Fu,
- Xiaoshu Wang
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.17 Sep 2021Submitted to Mathematical Methods in the Applied Sciences 19 Sep 2021Submission Checks Completed
19 Sep 2021Assigned to Editor
11 Oct 2021Reviewer(s) Assigned
07 Mar 2022Review(s) Completed, Editorial Evaluation Pending
14 Mar 2022Editorial Decision: Revise Minor
14 Mar 20221st Revision Received
15 Mar 2022Submission Checks Completed
15 Mar 2022Assigned to Editor
15 Mar 2022Review(s) Completed, Editorial Evaluation Pending
15 Mar 2022Editorial Decision: Accept
Aug 2022Published in Mathematical Methods in the Applied Sciences volume 45 issue 12 on pages 7607-7630. 10.1002/mma.8265 
