"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 briefdescription 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 aversionto 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"--
Revising his graduate lectures on advanced mathematical methods for environmental and resource economics, Xepapadeas provides mathematical tools for analyzing environmental and resource management issues in a dynamic manner. His topics include differential equations, optimal control and the principle of optimality, optimal control: steady state analysis, linear optimal control and bang-bang solutions: most-rapid-approach paths, dynamic programming in continuous time, stochastic control: stochastic processes and stochastic calculus, nonlinear differential games in environmental and resource economics: international pollution control (the lake problem), and optimal control under spatio-temporal dynamics: optimal control in infinite dimensional spaces. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
