Nonlinear Dynamical Systems in Economics

• Corporate Author: SpringerLink (Online service)
• Other Authors: Lines, Marji (Editor)
• Format: Electronic eBook
• Language: English
• Published: Vienna : Springer Vienna, 2005.
• Series: CISM International Centre for Mechanical Sciences, Courses and Lectures ; 476
• Subjects: Economic theory.; Macroeconomics.; Economic growth.; Economics.; Economic Theory/Quantitative Economics/Mathematical Methods.; Economic Growth.; Macroeconomics/Monetary Economics//Financial Economics.

Many problems in theoretical economics are mathematically formalized as dynam­ ical systems of difference and differential equations. In recent years a truly open approach to studying the dynamical behavior of these models has begun to make its way into the mainstream. That is, economists formulate...

Table of Contents:

• Introductory Notes on the Dynamics of Linear and Linearized Systems
• Complex and Chaotic Dynamics in Economics
• Ergodic Theory of Nonlinear Dynamics
• Local Bifurcation Theory Applied to OLG Models
• Heterogeneous Agent Models: two simple examples
• Complex Oligopoly Dynamics
• Coexisting Attractors and Complex Basins in Discrete-time Economic Models.