Mathematics for Stability and Optimization of Economic Systems
eBook - PDF

Mathematics for Stability and Optimization of Economic Systems

  1. 438 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Mathematics for Stability and Optimization of Economic Systems

About this book

Economic Theory and Mathematical Economics: Mathematics for Stability and Optimization of Economic Systems provides information pertinent to the stability aspects and optimization methods relevant to various economic systems. This book presents relevant mathematical theorems sufficient to develop important economic systems, including Leontief input–output systems, Keynesian dynamic models, the Ramsey optimal accumulation systems, and von Neumann expanding economic systems. Organized into two parts encompassing nine chapters, this book begins with an overview of useful theorems on matrices, eigenvalue problems, and matrices with dominant diagonals and P-matrices. This text then explores the linear transformations on vector spaces. Other chapters consider the Hawkins–Simon theorem concerning non-negative linear systems. This book discusses as well the dual linear relations and optimization methods applicable to inequality economic systems. The final chapter deals with powerful optimal control method for dynamical systems. This book is a valuable resource for mathematicians, economists, research workers, and graduate students.

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Yes, you can access Mathematics for Stability and Optimization of Economic Systems by Yasuo Murata, Karl Shell in PDF and/or ePUB format, as well as other popular books in Economics & Business General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front Cover
  2. Mathematics for Stability and Optimization of Economic Systems
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Preface
  7. Acknowledgments
  8. Notation and Symbols
  9. Part I: LINEAR STRUCTURE AND STABILITY OF ECONOMIC SYSTEMS
  10. Part II: OPTIMIZATION METHODS FOR ECONOMIC SYSTEMS
  11. Author Index
  12. Subject Index