Optimization and Chaos

  • Mukul Majumdar
  • Tapan Mitra
  • Kazuo Nishimura

Part of the Studies in Economic Theory book series (ECON.THEORY, volume 11)

About this book


This collection of essays brings together some articles on dynamic optimization models that exhibit chaotic behavior. Chapters 3, 4, 5, 6, 7, and 9 appeared in a Symposium on Chaotic Dynamical Systems in Economic Theory (Volume 4, Number 5, 1994). Also, Chapters 10,11, and 12 appeared in the Journal of Economic The­ ory. We would like to thank the authors, and Academic Press for permission to reprint. We are grateful to Professor C.D. Aliprantis for suggesting the idea of a book structured around the Economic Theory Symposium, and without the support and patience of Dr. Mueller this project could not have been completed. We would like to thank Ms. Amy Gowan who cheerfully per­ formed the arduous task of typing the manuscript. Thanks are also due to Xiao Qing Yu, Tridip Ray and Malabika Majumdar for their help at various stages in the preparation of the manuscript. For a course on dynamic optimization addressed to students with a good background in economic theory and real analysis, one can assign Chapter 2 as a partial introduction to the basic tech­ niques. Chapters 3 and 4 can be assigned to provide examples of simple optmization models generating complicated behavior.


Chaos Chaostheorie Dynamical Systems Dynamische Systeme Non-Linear Systems Optimierung Optimization Theory nicht-lineare Systeme optimization

Authors and affiliations

  • Mukul Majumdar
    • 1
  • Tapan Mitra
    • 1
  • Kazuo Nishimura
    • 2
  1. 1.Department of EconomicsCornell UniversityIthacaUSA
  2. 2.Institute for Economic ResearchKyoto UniversityKyoto 606Japan

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08636-6
  • Online ISBN 978-3-662-04060-7
  • Series Print ISSN 1431-8849
  • Buy this book on publisher's site