Preference Cycles and Chaos

  • Matthias Ruth
  • Bruce Hannon
Part of the Modeling Dynamic Systems book series (MDS)


The models of the previous parts of this book may be distinguished into those that are based on linear relationships among system components, such as the direct proportionality of the birth of fish in a lake modeled in Chapter 1, and those that capture nonlinearities, such as the per-capita grass consumption by sheep modeled in Chapter 25. The models based on linear relationships could have been solved using analytical methods. In contrast, some of the nonlinear relationships discussed in this book have no analytical solutions. To solve for their behavior over time requires numerical solutions, such as the ones that we adopted here.


Budget Constraint Demand Curve Timately Chaos Endogenous Preference Modeling Dynamic Economic 
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  1. 1.
    For a discussion of endogenous preferences, see Rosser, J.B., From catastrophe to chaos: A General Theory of Economic Discontinuities (Dordrecht, the Netherlands: Kluwer Academic Publishers, 1991).Google Scholar
  2. 2.
    This equation was used in a different context in May, R. and G. Oster. “Bifurcations and Dynamic Complexity in Simple Ecological Models,” American Naturalist 110 (1976): 573–599.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1997

Authors and Affiliations

  • Matthias Ruth
    • 1
  • Bruce Hannon
    • 2
  1. 1.Center for Energy and Environmental Studies and the Department of GeographyBoston UniversityBostonUSA
  2. 2.Department of GeographyUniversity of IllinoisUrbanaUSA

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