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...

The mathematical conditions for the existence of macroeconomic production functions that are state functions of the economic system are pointed out. The output elasticities and the elasticities of substitution of energy-dependent Cobb-Douglas, CES and LinEx production functions are calculated....

Existing estimation methods for multi-factor CES functions require limiting assumptions about the nature of technical change. We demonstrate how a system of equations and a fixed elasticity in the nested process can provide identification for more flexible specifications and for small data...

Despite being critical parameters in many economic fields, the received wisdom, in theoretical and empirical literatures, states that joint identification of the elasticity of capital-labor substitution and technical bias is infeasible. This paper challenges that pessimistic interpretation....

We provide industry-level estimates of the elasticity of substitution (σ) between capital and labor in the US economy. We also estimate rates of factor-augmentation. Aggregate estimates are produced using the same data. Our empirical model comes from the first-order conditions associated with a...

This paper follows Jones (2005) in his approach to deriving the global production function from microfoundations. His framework is generalized by allowing for dependence between the Pareto distributions of labor- and capital-augmenting developments. Using the Clayton copula family to capture...

Despite being critical parameters in many economic fields, the received wisdom, in theoretical and empirical literatures, states that joint identification of the elasticity of capital-labor substitution and technical bias is infeasible. This paper challenges that pessimistic interpretation....

The aim of this study is to connect two approaches that examine automation. The first uses a task-based model, while the second uses a variant of the canonical constant-elasticity-of-substitution (CES) production function. We employ a task-based model and derive a neoclassical production...