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Mathematical Methods in Dynamic Economics

  • Book
  • © 2000

Overview

Authors:
  1. András Simonovits

    1. Institute of Economics, Hungarian Academy of Sciences, Budapest, Hungary

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    1. Introduction

      • András Simonovits
      Pages 1-1

  3. Dynamics without Optimization

    1. Front Matter

      Pages 15-15
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    2. Linear Difference Equations

      • András Simonovits
      Pages 17-48

    3. Discrete-Time Linear Models

      • András Simonovits
      Pages 49-67

    4. Nonlinear Difference Equations

      • András Simonovits
      Pages 68-88

    5. Discrete-Time Nonlinear Models

      • András Simonovits
      Pages 89-113

    6. Ordinary Differential Equations

      • András Simonovits
      Pages 114-135

    7. Continuous-Time Models

      • András Simonovits
      Pages 136-153

  4. Dynamics with Optimization

    1. Front Matter

      Pages 155-155
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    2. Dynamic Programming

      • András Simonovits
      Pages 157-173

    3. Applications of Dynamic Programming

      • András Simonovits
      Pages 174-190

    4. Optimal Control

      • András Simonovits
      Pages 191-207

    5. Optimal Consumption Paths

      • András Simonovits
      Pages 208-225

  5. Supplements

    1. Front Matter

      Pages 227-227
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    2. Appendix A. Linear Algebra

      • András Simonovits
      Pages 229-239

    3. Appendix B. Overlapping Generations

      • András Simonovits
      Pages 240-252

    4. Appendix C. Overlapping Cohorts

      • András Simonovits
      Pages 253-281

  6. Back Matter

    Pages 283-316
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Keywords

About this book

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.

Authors and Affiliations

  • Institute of Economics, Hungarian Academy of Sciences, Budapest, Hungary

    András Simonovits

About the author

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

Bibliographic Information

  • Book Title: Mathematical Methods in Dynamic Economics

  • Authors: András Simonovits

  • DOI: https://doi.org/10.1057/9780230513532

  • Publisher: Palgrave Macmillan London

  • eBook Packages: Palgrave Economics & Finance Collection, Economics and Finance (R0)

  • Copyright Information: Palgrave Macmillan, a division of Macmillan Publishers Limited 2000

  • Hardcover ISBN: 978-0-333-77818-0Published: 05 June 2000

  • eBook ISBN: 978-0-230-51353-2Published: 05 June 2000

  • Edition Number: 1

  • Number of Pages: X, 318

  • Topics: Econometrics, Applications of Mathematics

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