Carl Chiarella

The Elements of a Nonlinear Theory of Economic Dynamics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 149
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642467073
• Artikelnr.: 53141656

Inhaltsangabe

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.