
Classification of $h$homogeneous production functions with constant elasticity of substitutionDOI: 10.5556/j.tkjm.43.2012.321328 Keywords: Homogeneous production function , constant elasticity of substitution , CobbDouglas production function , ACMS production function Abstract: 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 both microeconomics and macroeonomics; namely, $h$homogeneous production functions. This class of production functions includes two important production functions; namely, the generalized CobbDouglas production functions and ACMS production functions. It was proved in 2010 by L. Losonczi cite{L} that twice differentiable twoinputs $h$homogeneous production functions with constant elasticity of substitution (CES) property are CobbDouglas' and ACMS production functions. Lozonczi also pointed out in cite{L} that his proof does not work for production functions of $n$inputs with $n>2$
