On some geometric properties of quasi-product production models

In this article we obtain classification results on the quasi-product production functions in terms of the geometry of their associated graph hypersurfaces, generalizing in a new setting some recent results concerning basic production models. In particular, we obtain several results on the geometry...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 474; no. 1; pp. 693 - 711
Main Authors Alodan, Haila, Chen, Bang-Yen, Deshmukh, Sharief, Vîlcu, Gabriel-Eduard
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.06.2019
Subjects
Constant elasticity of substitution
Constant return to scale
Gauss–Kronecker curvature
Marginal rate of substitution
Production hypersurface
Quasi-product production function
Gauss–Kronecker curvature
Constant return to scale
Production hypersurface
Quasi-product production function
Constant elasticity of substitution
Marginal rate of substitution
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Summary:In this article we obtain classification results on the quasi-product production functions in terms of the geometry of their associated graph hypersurfaces, generalizing in a new setting some recent results concerning basic production models. In particular, we obtain several results on the geometry of Spillman–Mitscherlich and transcendental production functions.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2019.01.072