A First Course in Optimization Theory introduces students to
optimization theory and its use in economics and allied
disciplines. The first of its three parts examines the existence of
solutions to optimization problems in R(superscript n), and how
these solutions may be identified. The second part explores how
solutions to optimization problems change with changes in the
underlying parameters, and the last part provides an extensive
description of the fundamental principles of finite- and
infinite-horizon dynamic programming. Each chapter contains a
number of detailed examples explaining both the theory and its
applications for first-year master's and graduate students.
"Cookbook" procedures are accompanied by a discussion of when such
methods are guaranteed to be successful, and equally importantly,
when they could fail. Each result in the main body of the text is
also accompanied by a complete proof. A preliminary chapter and
three appendices are designed to keep the book mathematically
self-contained.
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