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...