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Nonlinear Difference Equations

Theory with Applications to Social Science Models

  • Hassan Sedaghat

Part of the Mathematical Modelling: Theory and Applications book series (MMTA, volume 15)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Theory

    1. Front Matter
      Pages 1-1
    2. Hassan Sedaghat
      Pages 3-11
    3. Hassan Sedaghat
      Pages 13-69
    4. Hassan Sedaghat
      Pages 71-164
    5. Hassan Sedaghat
      Pages 165-239
  3. Applications to Social Science Models

    1. Front Matter
      Pages 241-241
    2. Hassan Sedaghat
      Pages 243-337
    3. Hassan Sedaghat
      Pages 339-366
  4. Back Matter
    Pages 367-388

About this book

Introduction

It is generally acknowledged that deterministic formulations of dy­ namical phenomena in the social sciences need to be treated differently from similar formulations in the natural sciences. Social science phe­ nomena typically defy precise measurements or data collection that are comparable in accuracy and detail to those in the natural sciences. Con­ sequently, a deterministic model is rarely expected to yield a precise description of the actual phenomenon being modelled. Nevertheless, as may be inferred from a study of the models discussed in this book, the qualitative analysis of deterministic models has an important role to play in understanding the fundamental mechanisms behind social sci­ ence phenomena. The reach of such analysis extends far beyond tech­ nical clarifications of classical theories that were generally expressed in imprecise literary prose. The inherent lack of precise knowledge in the social sciences is a fun­ damental trait that must be distinguished from "uncertainty. " For in­ stance, in mathematically modelling the stock market, uncertainty is a prime and indispensable component of a model. Indeed, in the stock market, the rules are specifically designed to make prediction impossible or at least very difficult. On the other hand, understanding concepts such as the "business cycle" involves economic and social mechanisms that are very different from the rules of the stock market. Here, far from seeking unpredictability, the intention of the modeller is a scientific one, i. e.

Keywords

Generation Mode business cycle difference equation dynamical systems economics equilibrium exchange rates instability mathematical analysis productivity

Authors and affiliations

  • Hassan Sedaghat
    • 1
  1. 1.Department of MathematicsVirginia Commonwealth UniversityRichmondUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-0417-5
  • Copyright Information Springer Science+Business Media B.V. 2003
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6215-4
  • Online ISBN 978-94-017-0417-5
  • Series Print ISSN 1386-2960
  • Buy this book on publisher's site
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