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Journal ArticleDOI

Chaotic dynamics: theory and applications to economics, by Alfredo Medio in collaboration with Giampaolo Gallo. Pp 344. £35. 1993. ISBN 0-521-39488-0; (Accompanying Disk ISBN 0-521-42107-1. £30 MSDOS or Apple Mac). (Cambridge University Press)

John Brandon
- 01 Mar 1995 - 
- Vol. 79, Iss: 484, pp 235-236
TLDR
This book introduces chaos and economics in a continuous-time model of inventory business cycles and applications to Economics, and discusses the role of software in this transformation.
Abstract
Preface Part I. Theory: 1. General introduction: chaos and economics 2. Basic mathematical concepts 3. A user's guide 4. Surfaces of sections and Poincare maps 5. Spectral analysis 6. Lyapunov characteristic exponents 7. Dimensions 8. Symbolic dynamics 9. Transition to chaos: theoretical predictive criteria 10. Analysis of experimental signals: some theoretical problems Part II. Applications to Economics: 11. Discrete and continuous chaos 12. Cycles and chaos in overlapping generations models with production 13. Chaos in a continuous-time model of inventory business cycles 14. Analysis of experimental signals Part III. Software: 15. DMC manual 16. MODEL 17. EVAL 18. PLOT 19. STAT 20. FILES 21. UTIL 22. OPTS 23. QUIT 24. Internal menu commands 25. DMC internal compiler.

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Citations
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Detección de comportamientos caóticos en modelos TAR aplicados a series temporales de coyuntura económica española

TL;DR: The series temporales de coyuntura economica, dada la frecuencia de observación y su tamano, generalmente escapan al analisis no lineal clasico for la d... as mentioned in this paper.
Journal ArticleDOI

Consistent Lyapunov exponent Estimation for one-dimensional dynamical systems

TL;DR: The author proves the consistency of a nearest neighbor estimator of the Lyapunov exponent for a general class of one-dimensional ergodic dynamical systems and shows that this estimator has good practical properties on a set of simulations.

Th e chaotic agricultural monopoly profit growth model and indirect tax

TL;DR: In this paper, a relatively simple chaotic growth model of the agricultural ( )     + + + − ) was constructed, where the basic aim of the model is to construct a chaotic growth in the agricultural domain.
Book ChapterDOI

Wirtschaft als Komplexes System und die Konsequenzen für die Ökonomische Bildung

TL;DR: The lineare bzw. lineales system as discussed by the authors is a lineare kette, in which alles kontrollierbar und vorhersagbar erscheint, bei der the Entwicklungslinien nachvollziehbar sind und wo Markte, einmal durch (externe) Storungen ins Ungleichgewicht geraten, sich leicht wieder stabilisieren.
Book ChapterDOI

The chaotic growth model: international tourism

TL;DR: In this article, a relatively simple chaotic international tourism expenditure growth model that is capable of generating stable equilibria, cycles, or chaos is proposed. But the model is not suitable for large-scale tourism expenditure.
References
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Book ChapterDOI

Chapter 23 Heterogeneous Agent Models in Economics and Finance

TL;DR: A survey of dynamic heterogeneous agent models (HAMs) in economics and finance can be found in this paper, where the authors focus on simple models that are tractable by analytic methods in combination with computational tools.
MonographDOI

Behavioral Rationality and Heterogeneous Expectations in Complex Economic Systems

TL;DR: In this paper, the nonlinear cobweb model with heterogeneous expectations was proposed and empirically validated in a laboratory experiment, and an asset pricing model was proposed with heterogenous beliefs.
Book

Time-Series Analysis and Cyclostratigraphy: Examining Stratigraphic Records of Environmental Cycles

TL;DR: This work Constructing time series in cyclostratigraphy with a focus on environmental cycles recorded stratigraphically and additional methods of time-series analysis.

CapitalLabor Substitution and Competitive Nonlinear Endogenous Business Cycles

TL;DR: In this article, simple geometrical methods were developed to study local indeterminacy, bifurcations and stochastic (sunspot) equilibria near a steady state, in nonlinear two dimensional economic models.
Journal ArticleDOI

Testing for non-linear structure in an artificial financial market

TL;DR: In this paper, the authors present a stochastic simulation model of a prototype financial market, which is populated by both noise traders and fundamentalist speculators, and explore the behavior of the model when testing for the presence of chaos or non-linearity in the simulated data.