Geodesic
On some geometric properties of $h$-homogeneous production functions in microeconomics
Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 343

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

Almost all economic theories presuppose a production function, either on the firm level or the aggregate level. In this sense the production function is one of the key concepts of mainstream neoclassical theories. There is a very important class of production functions that are often analyzed in microeconomics; namely, $h$-homogeneous production functions. This class of production functions includes many important production functions in microeconomics; in particular, the well-known generalized Cobb-Douglas production function and the ACMS production function. In this paper we study geometric properties of $h$-homogeneous production functions via production hypersurfaces. As consequences, we obtain some characterizations for an $h$-homogeneous production function to have constant return to scale or to be a perfect substitute. Some applications to generalized Cobb-Douglas and ACMS production functions are also given.
Classification : 91B38 91B64 53B25
Keywords: Production function, $h$-homogeneous production function, Gauss-Kronecker curvature, constant return to scale, perfect substitutes, ACMS production function, generalized Cobb-Douglas production function. 
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     author = {Bang-Yen Chen},
     title = {On some geometric properties of $h$-homogeneous production functions in microeconomics},
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Bang-Yen Chen. On some geometric properties of $h$-homogeneous production functions in microeconomics. Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 343 . http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a0/