Nonlinear dynamical systems in economics /

Nonlinear dynamical systems in economics /

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Bibliographic Details
Imprint:	Wien ; New York : Springer, [2005] ©2005
Description:	1 online resource (231 pages) : illustrations.
Language:	English
Series:	Courses and lectures ; number 476 Courses and lectures ; number 476.
Subject:	Economics, Mathematical. Differentiable dynamical systems. Chaotic behavior in systems. Nonlinear theories. Chaotic behavior in systems. Differentiable dynamical systems. Economics, Mathematical. Nonlinear theories.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/9900298

Hidden Bibliographic Details
Other authors / contributors:	Lines, M. (Marji), 1951-
ISBN:	9783211380437 (electronic bk.) 3211380434 (electronic bk.) 9783211261774
Notes:	Includes bibliographical references (pages 228-231). Description based on print version record.
Summary:	This work represents the current state of the most important economic applications of dynamical systems theory. The volume features not only a survey of modern analytical approaches and nonlinear models but also an anthology of the numerical and graphical methods (represented in 90 illustrations) that are essential to an understanding of dynamical behavior. The first chapters present accessible (though not elementary) introductions to local analysis and the linear approximation, deep issues regarding chaos and complexity, the ergodic approach and probabilistic properties of dynamical systems. The following chapters provide a unique collection of current nonlinear models in micro and macroeconomics, including those based on overlapping generations, heterogeneous agents, evolutionary financial markets, oligopolist and duopolist games.
Other form:	Print version: Nonlinear dynamical systems in economics 321126177X
Standard no.:	10.1007/3-211-38043-4

Table of Contents:

Introductory notes on the dynamics of linear and linearized systems (M. Lines, A. Medio)
Complex and chaotic dynamics in economics (D. Foley)
Ergodic approach to nonlinear dynamics (A. Medio)
Local bifurcation theory applied to OLG models (M. Lines)
Heterogenous agent models: two simple examples (C. Hommes)
Complex oligopoly dynamics (T. Puu)
Coexisting attractors and complex basins in discrete-time economic models (G. Bischi, F. Lamantia).