Some characterizations of the quasi-sum production models with proportional marginal rate of substitution

In this note we classify quasi-sum production functions with constant elasticity of production with respect to any factor of production and with proportional marginal rate of substitution.Comment: 6 pages; minor changes and text improvements; references update

A Brief History of Production Functions

This paper gives an outline of evolution of the concept and econometrics of production function, which was one of the central apparatus of neo-classical economics. It shows how the famous Cobb-Douglas production function was indeed invented by von Thunen and Wicksell, how the CES production function was formulated, how the elasticity of substitution was made a variable and finally how Sato’s function incorporated biased technical changes. It covers almost all specifications proposed during 1950-1975, and further the LINEX production functions and incorporation of energy as an input. The paper in divided into (1) single product functions, (2) joint product functions, and (3) aggregate production functions. It also discusses the ‘capital controversy’ and its impacts.Production function; Cobb-Douglas; CES; Transcendental; translog; Zellner-Revankar; VES; Bruno; Kadiyala; Diewert; Kummel; Mundlak; Engineering production function; Multi-output; joint product; Data Envelopment; Household production function; Humbug production function; capital controversy; Cambridge controversy