Nonlinear Oligopolies - Stability and Bifurcations (Hardcover, 2010 ed.)

Oligopoly theory is one of the most intensively studied areas of mathematical economics. On the basis of the pioneering works of Cournot (1838), many res- rchers have developed and extensively examined the different variants of oligopoly models. Initially, the existence and uniqueness of the equilibrium of the different types of oligopolies was the main concern, and later the dynamic extensions of these models became the focus. The classical result of Theocharis (1960) asserts that under discrete time scales and static expectations, the equilibrium of a sing- product oligopoly without product differentiation and with linear price and cost functions is asymptotically stable if and only if it is a duopoly. In the continuous time case, asymptotic stability is guaranteed for any number of ?rms. In these cases the resulting dynamical systems are also linear, where local and global asymptotic stability are equivalent to each other. The classical book of Okuguchi (1976) gives a comprehensive summary of the earlier results and developments. The multipr- uct extensionshave been discussed in Okuguchiand Szidarovszky(1999);however, nonlinear features were barely touched upon in these contributions. WiththedevelopmentofthecriticalcurvemethodbyGumowskiandMira(1980) (see also Mira et al. (1996))fordiscrete time systemsand the introductionof cont- uously distributed information lags by Invernizzi and Medio (1991) in continuous time systems, increasing attention has been given to the global dynamics of n- linear oligopolies. The authors of this book have devoted a great deal of research effort to this area.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Release date:	November 2009
First published:	2010
Authors:	Gian-Italo Bischi • Carl Chiarella • Michael Kopel • Ferenc Szidarovszky
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Hardcover
Pages:	334
Edition:	2010 ed.
ISBN-13:	978-3-642-02105-3
Categories:	Books > Business & Economics > Economics > Economic theory & philosophy Books > Business & Economics > Economics > Microeconomics > General Books > Business & Economics > Business & management > Ownership & organization of enterprises > General Books > Science & Mathematics > Mathematics > Optimization > Game theory Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
LSN:	3-642-02105-0
Barcode:	9783642021053

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