Mathematical Methods in Dynamic Economics

by A. Simonovits

Overview

This book contains a concise description of important mathematical methods of dynamics and suitable economic models. It covers discrete as well as continuous-time systems, linear and nonlinear models. Mixing traditional and modern materials, the study covers dynamics with and without optimization, naive and rational expectations, respectively. In addition to standard models of growth and cycles, the book also contains original studies on control of a multisector economy and expectations-driven multicohort economy. Numerous examples, problems (with solutions) and figures complete the book.

Product Details

ISBN-13:	9780333778180
Publisher:	Palgrave Macmillan UK
Publication date:	06/05/2000
Edition description:	2000
Pages:	318
Product dimensions:	5.51(w) x 8.50(h) x (d)

About the Author

ANDRAS SIMONOVITS is Scientific Adviser at the Institute of Economics, Hungarian Academy of Sciences, Budapest, Hungary.

Table of Contents

List of Tables List of Figures Foreword Introduction PART I: DYNAMICS WITHOUT OPTIMIZATION Linear Difference Equations Discrete-Time Linear Models Nonlinear Difference Equations Discrete-Time Nonlinear Models Ordinary Differential Equations Continuous-Time Models PART II: DYNAMICS WITH OPTIMIZATION Dynamic Programming Applications of Dynamic Programming Optimal Control Optimal Consumption Paths PART III: SUPPLEMENTS Appendix A: Linear Algebra Appendix B: Overlapping Generations Appendix C: Overlapping Cohorts Solutions References Index of Subjects