Variational Methods in Economics
eBook - PDF

Variational Methods in Economics

  1. 388 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Variational Methods in Economics

About this book

Advanced Textbooks in Economics, Volume 1: Variational Methods in Economics focuses on the application of variational methods in economics, including autonomous system, dynamic programming, and phase spaces and diagrams. The manuscript first elaborates on growth models in economics and calculus of variations. Discussions focus on connection with dynamic programming, variable end points-free boundaries, transversality at infinity, sensitivity analysis-end point changes, Weierstrass and Legendre necessary conditions, and phase diagrams and phase spaces. The text then ponders on the constraints of classical theory, including unbounded intervals of integration, free boundary conditions, comparison functions, normality, and the problem of Bolza. The publication explains two-sector models of optimal economic growth, optimal control theory, and connections with the classical theory. Topics include capital good immobile between industries, constrained state variables, linear control problems, conversion of a control problem into a problem of Lagrange, and the conversion of a nonautonomous system into an autonomous system. The book is a valuable source of information for economists and researchers interested in the variational methods in economics.

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Yes, you can access Variational Methods in Economics by G. Hadley,M. C. Kemp, C. J. Bliss in PDF and/or ePUB format, as well as other popular books in Business & Matematica applicata al business. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front Cover
  2. Variational Methods in Economics
  3. Copyright Page
  4. Table of Content
  5. Preface
  6. CHAPTER 1. GROWTH MODELS IN ECONOMICS
  7. CHAPTER 2. CALCULUS OF VARIATIONS-CLASSICAL THEORY
  8. CHAPTER 3. CLASSICAL THEORY ― CONSTRAINTS
  9. CHAPTER 4. OPTIMAL CONTROL THEORY
  10. CHAPTER 5. CONNECTIONS WITH THE CLASSICAL THEORY
  11. CHAPTER 6. TWO-SECTOR MODELS OF OPTIMAL ECONOMIC GROWTH
  12. APPENDIX I: Uniqueness of the utility functional and the utility function
  13. APPENDIX II: Implicit function theorems
  14. APPENDIX III: Existence theorems for systems of ordinary differential equations
  15. REFERENCES
  16. Index