Notes on Isotropic Geometry of Production Models
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 23 .

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The production function is one of the key concepts of mainstream neoclassical theories in economics. The study of the shape and properties of the production possibility frontier is a subject of great interest in economic analysis. In this respect, Cobb-Douglas and CES production functions with flat graph hypersurfaces in Euclidean spaces are first studied in [20, 21]. Later, more general studies of production models were given in [5]-[9] and [11, 13, 22] On the other hand, from visual-physical experiences [16, 17, 18], the second and third authors proposed in [15] to study production models via isotropic geometry as well. The purpose of this paper is thus to investigate important production models via isotropic geometry.
Classification : 91B38 65D17 91B64 53B25
Keywords: Isotropic geometry, Homogeneous production function, Cobb-Douglas production function, CES production function, Perfect substitute, Isotropic minimality, Relative curvature
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Bang-Yen Chen; Simona Decu; Leopold Verstraelen. Notes on Isotropic Geometry of Production Models. Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 23 . http://geodesic.mathdoc.fr/item/KJM_2014_38_1_a1/