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9780898715118 Academic Inspection Copy

Mathematical Optimization and Economic Theory

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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 optimisation 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.
Preface to the Classics Edition Preface Part One: Introduction. Economizing and the Economy Part Two: Static Optimization. The Mathematical Programming Problem Classical Programming Nonlinear Programming Linear Programming Game Theory Part Three: Applications of Static Optimization. Theory of the Household Theory of the Firm General Equilibrium Welfare Economics Part Four: Dynamic Optimization. The Control Problem Calculus of Variations Dynamic Programming Maximum Principle Differential Games Part Five: Applications of Dynamic Optimization. Optimal Economic Growth Appendix A: Analysis Appendix B: Matrices Index.
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