Non-renewable resources and growth with vertical innovations: optimum, equilibrium and economic policies

We consider a Schumpeterian model of endogenous growth with creative destruction in which we introduce a non-renewable natural resource. We characterize the optimum and the equilibrium paths, and we derive the precise levels of economic policy instruments that allow the implementation of the optimum. Moreover, we study the effects of these policies on the relevant steady-state variables, in particular the rate of extraction of the resource.