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On some geometric properties of quasi-product production models
Journal article   Peer reviewed

On some geometric properties of quasi-product production models

Haila Alodan, Bang-Yen Chen, Sharief Deshmukh and Gabriel-Eduard Vîlcu
Journal of mathematical analysis and applications, Vol.474(1), pp.693-711
01/06/2019
DOI: https://doi.org/10.1016/j.jmaa.2019.01.072

Abstract

Constant elasticity of substitution Constant return to scale Gauss–Kronecker curvature Marginal rate of substitution Production hypersurface Quasi-product production function
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.

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