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Mathematical Optimization and Economic Theory

Mathematical Optimization and Economic Theory

textbook

Part of Classics in Applied Mathematics

  • Date Published: March 2002
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898715118

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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 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.

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    Product details

    • Date Published: March 2002
    • format: Paperback
    • isbn: 9780898715118
    • length: 528 pages
    • dimensions: 228 x 152 x 26 mm
    • weight: 0.73kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

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

  • Author

    Michael D. Intriligator, University of California, Los Angeles

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