Mathematical optimization and economic theory

✍ Scribed by Michael D Intriligator

• Publisher: Society for Industrial and Applied Mathematics
• Year: 2002
• Tongue: English
• Leaves: 529
• Series: Classics in applied mathematics, 39
• Edition: 1st
• Category: Library

✦ Synopsis

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

✦ Table of Contents

Content: Part 1. Introduction --
1. Economizing and the economy --
Part 2. Static optimization --
2. The mathematical programming problem --
3. Classical programming --
4. Nonlinear programming --
5. Linear programming --
6. Game theory --
Part 3. Applications of static optimization --
7. Theory of the household --
8. Theory of the firm --
9. General equilibrium --
10. Welfare economics --
Part 4. Dynamic optimization --
11. The control problem --
12. Calculus of variations --
13. Dynamic programming --
14. Maximum principle --
15. Differential games --
Part 5. Applications of dynamic optimization --
16. Optimal economic growth --
Appendices: --
A. Analysis --
B. Matrices.