The most interesting issues in environmental and resource economics
have an explicit temporal dimension, since variables of interest
such as pollutants, greenhouse gases, biomass of biological
resources, or the stocks of fossil fuels accumulate in the ambient
environment or are depleted through human actions and natural
processes.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.
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