
- 438 pages
- English
- PDF
- Available on iOS & Android
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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Information
Table of contents
- Front Cover
- Mathematics for Stability and Optimization of Economic Systems
- Copyright Page
- Table of Contents
- Dedication
- Preface
- Acknowledgments
- Notation and Symbols
- Part I: LINEAR STRUCTURE AND STABILITY OF ECONOMIC SYSTEMS
- Part II: OPTIMIZATION METHODS FOR ECONOMIC SYSTEMS
- Author Index
- Subject Index