ISBN 9788120346840,Mathematical Optimization and Economic Theory

Mathematical Optimization and Economic Theory

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PHI learning Pvt Ltd

Publication Year 2012

ISBN 9788120346840

ISBN-10 812034684X

Paper Back

Number of Pages 528 Pages
Language (English)


Mathematical Optimization and Economic Theoryprovides 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. It also covers in-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 shows why optimization is important for economics. Many challenging problems for both students and researchers are included.

This book should be of interest to advanced undergraduate and postgraduate students in the disciplines of economics and mathematics as both a textbook and a general reference book.

Table of Contents
Preface to the Classics Edition
Part One: Introduction
1. Economizing and the Economy
Part Two: Static Optimization
2. The Mathematical Programming Problem
3. Classical Programming
4. Nonlinear Programming
5. Linear Programming
6. Game Theory
Part Three: Applications of Static Optimization
7. Theory of the Household
8. Theory of the Firm
9. General Equilibrium
10. Welfare Economics
Part Four: Dynamic Optimization
11. The Control Problem
12. Calculus of Variations
13. Dynamic Programming
14. Maximum Principle
15. Differential Games
Part Five: Applications of Dynamic Optimization
16. Optimal Economic Growth
Appendix A: Analysis
Appendix B: Matrices