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  • Produktbild: The Elements of a Nonlinear Theory of Economic Dynamics
  • Produktbild: The Elements of a Nonlinear Theory of Economic Dynamics
Band 343

The Elements of a Nonlinear Theory of Economic Dynamics

Aus der Reihe Lecture Notes in Economics and Mathematical Systems

51,99 €

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Beschreibung

This books surveys the principal results and techniques of nonlinear dynamics relevant for applications in economic dynamics. The dynamic instability problem is solved by placing such models in a nonlinear framework.

Beschreibung

This books surveys the principal results and techniques of nonlinear dynamics relevant for applications in economic dynamics. The dynamic instability problem is solved by placing such models in a nonlinear framework.

Produktdetails

Einband

Taschenbuch
Erscheinungsdatum

22.05.1990
Abbildungen

IX, 149 p.
Verlag Springer Berlin

Produktdetails

Einband

Taschenbuch
Erscheinungsdatum

22.05.1990
Abbildungen

IX, 149 p.
Verlag Springer Berlin
Seitenzahl

149
Maße (L/B/H)

24,4/17/1 cm
Gewicht

302 g
Auflage

Softcover reprint of the original 1st ed. 1990
Sprache

Englisch
ISBN

978-3-540-52622-3
Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: The Elements of a Nonlinear Theory of Economic Dynamics
  • Produktbild: The Elements of a Nonlinear Theory of Economic Dynamics
  • 1. The Need for a Nonlinear Theory of Economic Dynamics.- 1.1 Introduction.- 1.2 Early Nonlinear Theories.- 1.3 Development of the Theory of Dynamical Systems.- 1.4 Problems in the Current State of Economic Dynamics.- 2. The Theory of Dynamical Systems.- 2.1 Introduction.- 2.2 Existence and Uniqueness Results.- 2.3 The Linear System x — Ax.- 2.4 Nonlinear Systems on the Plane.- 2.5 Analysis of Limit Cycles.- 2.6 Relaxation Oscillations.- 2.7 Higher Dimensional Nonlinear Systems.- Appendix 2.1.- 3. A New Look at Some old Endogenous Cycle Theories.- 3.1 Introduction.- 3.2 A General Model of Multiplier- Accelerator Interactions.- 3.3 Goodwin’s Nonlinear Accelerator Model.- 3.4 A Saturation Type Nonlinear Accelerator.- Appendix 3.1.- Appendix 3.2.- 4. Analysis of the Effects of Time Lags and Nonlinearities in Macroeconomic Models Incorporating the Government Budget Restraint.- 4.1 Introduction.- 4.2 Specification of the Model.- 4.3 Dynamic Behaviour of the Model.- Appendix 4.1.- Appendix 4.2.- 5. Limit Cycles in Higher Dimensions — the Effect of Time Lags on Goodwin’s Model of Cyclical Growth.- 5.1 Introduction.- 5.2 The Goodwin Model with a Time-Lag.- 5.3 Local Stability Analysis.- 5.4 Approximation of the Limit Cycle.- 5.5 Discussion.- Appendix 5.1.- Appendix 5.2.- Appendix 5.3.- Appendix 5.4.- Appendix 5.5.- Appendix 5.6.- Appendix 5.7.- 6. The Cobweb Model: Its Instability and the Onset of Chaos.- 6.1 Introduction.- 6.2 The Nonlinear Cobweb Model.- 6.3 Discrete Time Dynamics.- 6.4 Period Doubling to Chaos.- 6.5 Onset of Chaos in the Cobweb Model.- 6.6 Discussion.- 7. Perfect Foresight Models and the Dynamic Instability Problem From a Higher Viewpoint.- 7.1 Introduction.- 7.2 The Basic Nonlinear Model of Monetary Dynamics.- 7.3 The Naive Dynamics of the PerfectForesight Case; ? = 0.- 7.4 The Dynamics of the Adaptive Expectations Case; ? > 0.- 7.5 Adaptive Expectations as ??0+.- 7.6 The Discrete Time Model of Monetary Dynamics.- 7.7 Discussion.- Appendix 7.1.- Appendix 7.2.- Appendix 7.3.- Appendix 7.4.- Appendix 7.5.- Appendix 7.6.- 8. Conclusions and Further Developments.- References.