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M. Lines:
"Nonlinear Dynamical Systems in Economics";
in series "CISM COURSES AND LECTURES", series editor: W. Schneider et al.; issued by: CISM; Springer-Verlag, Berlin Heidelberg New York, 2005, ISBN: 978-3-211-26177-4, 231 pages.

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.

economics, game theory, industrial organisation, macroeconomics, microeconomics