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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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/