This note gives a brief, non-rigorous sketch of basic optimal control theory, which is a useful tool in several simple economic problems,such as those in resource and environmental economics. While the mathematical analysis in the note is self-contained, there is not much explanation and...

A risk-neutral agent optimizes extraction of dividends or renewable natural resources modelled by a jump-diffusion stock process, where the optimal strategy is characterized as the minimal intervention required to keep the stock process inside a given region. The introduction of a small fixed...

We develop a theory of resource management where the degree to which countries escape the tragedy of the commons is endogenously determined and explicitly linked to changes in world prices and other possible effects of market integration. We show how changes in world prices can move some...