The paper derives production functions designed to model the evolution of service industries. The derivation is based on specifying the output elasticities of the factors according to differential equations and asymptotic technological boundary conditions in factor space. The derived functional...

Recent econometric analyses of growth in industrialized countries reveal that energy?s elasticity of production systematically exceeds its factor cost share, whereas for labor the opposite holds. The paper reviews these analyses that reflect the observed direction of technological change towards...

The equilibrium conditions for an economic system that produces output with several factors of production and which is subject to technological constraints are derived. Optimization of either output minus cost or integrated utility yields the conditions that output elasticities must be equal to...

Cointegration analysis is applied to the linear combinations of the time series of (the logarithms of) output, capital, labor, and energy for Germany, Japan, and the USA since 1960. The computed cointegration vectors represent the output elasticities of the aggregate energy-dependent...