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Business Cycle Dynamics

Models and Tools

  • Book
  • © 2006

Overview

Editors:
  1. Tönu Puu

    1. CERUM, Umeå University, Umeå, Sweden

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  2. Iryna Sushko

    1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine

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    You can also search for this editor in PubMed   Google Scholar

  • Presentation of new mathematical methods for global analysis which have not previously been available in this easily accessible form

  • Presentation of full analyses of several models left open in the 1950s

  • Includes supplementary material: sn.pub/extras

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Aims and Scope

    • Tönu Puu
    Pages 1-6

  3. Some Methods for the Global Analysis of Closed Invariant Curves in Two-Dimensional Maps

    • Anna Agliari, Gian-Italo Bischi, Laura Gardini
    Pages 7-47

  4. Center Bifurcation for a Two-Dimensional Piecewise Linear Map

    • Iryna Sushko, Laura Gardini
    Pages 49-78

  5. Short History of the Multiplier-Accelerator Model

    • Tönu Puu
    Pages 79-112

  6. Multiplier-Accelerator Models with Random Perturbations

    • Volker Böhm
    Pages 113-142

  7. Non-Autonomous Business Cycle Model

    • Jose S. Cánovas Peña, Manuel Ruiz Marín
    Pages 143-178

  8. The Hicksian Model with Investment Floor and Income Ceiling

    • Laura Gardini, Tönu Puu, Iryna Sushko
    Pages 179-191

  9. Growth Cycles in a Modified Hicksian Business Cycle Model

    • Tönu Pun
    Pages 193-222

  10. Coexistence of Attractors and Homoclinic Loops in a Kaldor-Like Business Cycle Model

    • Anna Agliari, Roberto Died
    Pages 223-254

  11. Expectations and the Multiplier-Accelerator Model

    • Marji Lines, Frank Westerhoff
    Pages 255-276

  12. ‘Floors’ and/or ‘Ceilings’ and the Persistence of Business Cycles

    • Serena Sordi
    Pages 277-298

  13. A Goodwin-Type Model with Cubic Investment Function

    • Iryna Sushko, Tönu Puu, Laura Gardini
    Pages 299-316

  14. A Goodwin-Type Model with a Piecewise Linear Investment Function

    • Laura Gardini, Tönu Puu, Iryna Sushko
    Pages 317-333

  15. Back Matter

    Pages 335-336
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Keywords

About this book

Business cycle theory has been one of the fastest growing fields in modern nonlinear economic dynamics. The book is centered around models of multiplier-accelerator type, emerging from Samuelson's seminal work, later developed into nonlinear formats by Hicks and Goodwin. These models left open ends, as the tools then available did not permit more systematic analysis. The present situation is different, due to the emergence of new methods also focusing global analysis. The focus on classical, causal or recursive models implies a deviation from current main stream business cycle theory, based on "rational expectations", which in view of the possibility of mathematical chaos becomes untenable. This book is a rejoinder to Puu and Sushko, Oligopoly Dynamics - Models and Tools, (Springer 2002).

Editors and Affiliations

  • CERUM, Umeå University, Umeå, Sweden

    Tönu Puu

  • Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    Iryna Sushko

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