On some geometric properties of quasi-sum production models

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• 作者：Bang-Yen Chen ^{bychen@math.msu.edu}
• 关键词：Production function ; Quasi-linear production function ; Quasi-sum production model ; Gauss&ndash ; Kronecker curvature ; Flat space
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：15 August, 2012
• 卷：392
• 期：2
• 页码：192-199
• 文件大小：238 K

摘要

A production function is called quasi-sum if there are continuous strict monotone functions with such that (cf. Acz茅l and Maksa (1996) ). A quasi-sum production function is called quasi-linear if at most one of is a nonlinear function. For a production function , the graph of is called the production hypersurface of . In this paper, we obtain a very simple necessary and sufficient condition for a quasi-sum production function to be quasi-linear in terms of graph of . Moreover, we completely classify quasi-sum production functions whose production hypersurfaces have vanishing Gauss-Kronecker curvature.