Nonlinear Dynamics in Equilibrium Models

Chaos, Cycles and Indeterminacy

  • John Stachurski
  • Alain Venditti
  • Makoto Yano

Table of contents

  1. Front Matter
    Pages i-xi
  2. John Stachurski, Alain Venditti, Makoto Yano
    Pages 1-12
  3. Kazuo Nishimura, Gerhard Sorger
    Pages 13-47
  4. Optimal Growth and Endogenous Cycles

    1. Front Matter
      Pages 49-49
    2. Jess Benhabib, Kazuo Nishimura
      Pages 75-96
  5. Optimal Growth and Chaotic Dynamics

    1. Front Matter
      Pages 125-125
    2. Kazuo Nishimura, Makoto Yano
      Pages 127-150
    3. Kazuo Nishimura, Mokoto Yano
      Pages 151-164
  6. Global Dynamics in Optimal Growth Models

    1. Front Matter
      Pages 193-193
  7. Dynamic Models with Non-concave Technologies

  8. Stochastic Optimal Growth Models

    1. Front Matter
      Pages 259-259
    2. Kazuo Nishimura, Ryszard Rudnicki, John Stachurski
      Pages 261-288
    3. Kazuo Nishimura, John Stachurski
      Pages 289-307
  9. Indeterminacy in Exogenous Growth Models

    1. Front Matter
      Pages 309-309
    2. Jess Benhabib, Kazuo Nishimura
      Pages 311-346
    3. Kazuo Nishimura, Koji Shimomura
      Pages 347-361
  10. Indeterminacy in Endogenous Growth Models

    1. Front Matter
      Pages 401-401
    2. Jess Benhabib, Qinglai Meng, Kazuo Nishimura
      Pages 403-412
    3. Kazuo Nishimura, Harutaka Takahashi, Alain Venditti
      Pages 413-425
  11. Back Matter
    Pages 453-454

About this book


Optimal growth theory studies the problem of efficient resource allocation over time, a fundamental concern of economic research. Since the 1970s, the techniques of nonlinear dynamical systems have become a vital tool in optimal growth theory, illuminating dynamics and demonstrating the possibility of endogenous economic fluctuations. Kazuo Nishimura's seminal contributions on business cycles, chaotic equilibria and indeterminacy have been central to this development, transforming our understanding of economic growth, cycles, and the relationship between them. The subjects of Kazuo's analysis remain of fundamental importance to modern economic theory. This book collects his major contributions in a single volume. Kazuo Nishimura has been recognized for his contributions to economic theory on many occasions, being elected fellow of the Econometric Society and serving as an editor of several major journals.


Endogenous Cycles Growth Theory Indeterminacy Nonlinear Dynamics Stability Theory

Editors and affiliations

  • John Stachurski
    • 1
  • Alain Venditti
    • 2
  • Makoto Yano
    • 3
  1. 1., Research School of EconomicsAustralian National UniversityCanberraAustralia
  2. 2., GREQAMNational Center for Scientific ResearchMarseilleFrance
  3. 3.Faculty of EconomicsKyoto UniversityKyotoJapan

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-642-22396-9
  • Online ISBN 978-3-642-22397-6
  • Buy this book on publisher's site
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