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Mathematical optimization and economic theory. (English) Zbl 1140.90302
Classics in Applied Mathematics 39. Philadelphia, PA: SIAM (ISBN 0-89871-511-3). xix, 508 p. (2002).
Publisher’s description: Mathematical Optimization and Economic Theory provides a self-contained introduction to and survey of mathematical programming and control techniques and their applications to static and dynamic problems in economics, respectively. It is distinctive in showing the unity of the various approaches to solving problems of constrained optimization that all stem back directly or indirectly to the method of Lagrange multipliers. In the 30 years since its initial publication, there have been many more applications of these mathematical techniques in economics, as well as some advances in the mathematics of programming and control. Nevertheless, the basic techniques remain the same today as when the book was originally published. Thus, it continues to be useful not only to its original audience of advanced undergraduate and graduate students in economics, but also to mathematicians and other researchers who are interested in learning about the applications of the mathematics of optimization to economics.
The book is distinctive in that it covers in some depth both static programming problems and dynamic control problems of optimization and the techniques of their solution. It also clearly presents many applications of these techniques to economics, and it shows why optimization is important for economics. Many cchallenging problems for both students and researchers are included.

MSC:
90-02 Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming
90Cxx Mathematical programming
91-02 Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance
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