The purpose of these lectures is to present the mathematical tools for analyzing environmental and resource management issues in a dynamic set-up.
The lectures include a brief description of differential equations and then move on to describe methods of optimal control, dynamic programing, and differential games. The final chapters cover two novel topics: (1) environmental issues characterized by deep uncertainty, and aversion to ambiguity using robust control methods and formulations of precautionary policies; and (2) the study of pollution/resource management in space and time when the environmental variables evolve in time and diffuse in space.
The lectures are a valuable tool for advanced graduate students in environmental and resource economics who are studying dynamic problems.