Endogenous capital-augmenting technological change

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 non-unitary elasticity of substitution between capital and labor. We show that the model converges to the BGP with capital-augmenting technical change from any initial condition. Our results indicate that natural resources and directed technical change play a central role in explaining balanced growth.