We prove a generalized, multi-factor version of the Uzawa steady-state growth theorem. The theorem implies that neoclassical growth models need at least three factors of production to be consistent with empirical evidence on both the capital-labor elasticity of substitution and the existence of...

We prove a generalized, multi-factor version of the Uzawa steady-state growth theorem. In the two-factor case, the theorem implies that a neoclassical growth model cannot be simultaneously consistent with empirical evidence on both capital-augmenting technical change and the elasticity of...

We prove a generalized, multi-factor version of the Uzawa steady-state growth theorem, Balanced growth with capital-augmenting technical change is possible when capital has a unitary elasticity of substitution with at least one other factor of production, Thus, a neoclassical growth model with...

We construct a 3-factor, directed technical change growth model that ex-hibits capital-augmenting technical change on the balanced growth path (BGP), circumventing the issues usually caused by the 2-factor Uzawa growth theorem. We calibrate the model to the United States and consider a...

The per capita real GDP growth rate has been remarkably stable for many decades in most developed countries. To explain the balanced growth, however, existing endogenous growth theories typically need to assume a knife-edge degree of externality, which is not yet confirmed by micro-level...