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)
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.read more
Citations
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Journal ArticleDOI
Heterogeneous Agent Models in Economics and Finance
Cars Hommes,Cars Hommes +1 more
TL;DR: A survey of dynamic heterogeneous agent models (HAMs) in economics and finance can be found in this article, where the authors focus on simple models that are tractable by analytic methods in combination with computational tools.
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.
References
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Journal ArticleDOI
Dynamic investigations in a duopoly game with price competition based on relative profit and profit maximization
TL;DR: It is shown that classical Bertrand game studied in the second model gives better results than those obtained for the first one however the equilibrium in both models loses its stability via flip bifurcation only.
Journal ArticleDOI
Stability, multi-stability and instability in Cournot duopoly game with knowledge spillover effects and relative profit maximization
TL;DR: In this article, a dynamic Cournot duopoly model with knowledge spillover effects is established, in which the goals of two enterprises are relative profit maximization, and sufficient conditions for the existence and stable properties of unique Nash equilibrium can be judged with the help of the Jury criterion.
Journal ArticleDOI
Feedback loop in extended van der pol's equation applied to an economic model of cycles
TL;DR: In this paper, a chaotic 3D system is built to find an heuristic model of economic cycles focused on the capital flight observed in the less developed countries, and the model exhibits the ability of the potential GDP to drive the growth dynamic.
Journal ArticleDOI
Ultimate bound estimation set and chaos synchronization for a financial risk system
TL;DR: The ultimate bound which is useful in chaos synchronization is demonstrated through numerical simulations and a linear controller is proposed to achieve the chaos synchronization.