Puu Nonlinear Economic Dynamics

3rd Auflage 1993
ISBN: 978-3-642-97450-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 222 Seiten, eBook

The present study deals with nonlinear economic dynamics, with which the author has been concerned the last years. It grew out from the joint work by Professor Martin Beckmann and the present author on nonlinear statics in spatial economics, Beckmann and Pull, "Spatial Economics" (N orth-Holland 1985), later followed by its companion, Beckmann and Puu "Spatial Structures" (Springer-Verlag 1990). The first mono graph mentioned contains sections on price waves and business cycles, but in a linear format. The rest is static theory. The author has finally come to the conviction that linear dynamic modelling has very little to yield. This is due to the poor set of alternatives -decay or explosion of motion -pertinent to linear models. Therefore, the present work centres on non-linearity. Another distinction is that only purely causal models are dealt with, as those formatted as inter-temporal equilibria hardly belong to the more restricted field of dynamics. The spatial origin is visible in the choice of models. Chapters 1 and 2 summarize the work by the author on the structural stability of continuous spatial market eqUilibrium models. Chapter 3 deals with a re-formulation of the ingenious population growth and diffusion model invented by the young Hotelling in 1921. Chapter 4 is a detailed digression on business cycle models in a continuous spatial format with inter-regional trade.

Zielgruppe

Research

Autoren/Hrsg.

Puu, Tönu

Inhaltsverzeichnis

— Nonlinear Economic Dynamics.- 1 Dynamics Versus Equilibrium Analysis.- 2 Linear Versus Nonlinear Modelling.- 3 The Tools of Analysis.- 4 The Choice of Models.- 1 — Spatial Pattern Formation.- 1 Scientific Explanations.- 2 Optimal Patterns.- 3 Structurally Stable Patterns.- 4 Conclusion.- 2 — The Genesis of Economic Centres.- 1 One Dimension.- 2 Two Dimensions: Circular Markets.- 3 Two Dimensions: Triangles, Squares, Hexagons.- 4 Changing Population Density.- 5 Conclusion.- 3 — Population Dynamics.- 1 The Original Hotelling Model.- 2 Growth.- 3 Diffusion.- 4 Growth and Diffusion.- 5 Structural Stability.- 6 Conclusion.- 7 Appendix: Model with Endogenous Capital.- 4 — Business Cycles: Continuous Time.- 1 The Multiplier-Accelerator Model.- 2 Spatial Models.- 5 — Business Cycles: Discrete Space.- 1 The Two-Region Model.- 2 The Forced Oscillator.- 3 Relaxation Cycles.- 4 Three Identical Regions.- 6 — Business Cycles: Discrete Time.- 1 First Discrete Model.- 2 The Cubic Iterative Map.- 3 Brownian Random Walk.- 4 Digression on Order and Disorder.- 5 The General Model.- 6 Conclusion.- 7 Appendix: Digression on The Rationale of the Cubic.- 7 — Cournot Duopoly.- 1 Duopoly.- 2 The Cournot Model.- 3 Adjustment by Taking Turns.- 4 Simultaneous Adjustment.- 5 Conclusion.- References.