An analysis of the complex dynamic behaviour of nonlinear oligopoly models with time delays

Chiarella, C; Khomin, A

An analysis of the complex dynamic behaviour of nonlinear oligopoly models with time delays

Chiarella, C Khomin, A

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Publication Type:: Journal Article
Citation:: Chaos, Solitons and Fractals, 1996, 7 (12), pp. 2049 - 2065
Issue Date:: 1996-12-01

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Field	Value	Language
dc.contributor.author	Chiarella, C	en_US
dc.contributor.author	Khomin, A	en_US
dc.date.issued	1996-12-01	en_US
dc.identifier.citation	Chaos, Solitons and Fractals, 1996, 7 (12), pp. 2049 - 2065	en_US
dc.identifier.issn	0960-0779	en_US
dc.identifier.uri	http://hdl.handle.net/10453/13016
dc.description.abstract	We consider the fate of output in the Cournot oligopoly model when the equilibrium is locally unstable. We discuss types of nonlinearities which may be present to bound the motion and introduce time lags in production and information which serve as bifurcation parameters. We apply the Hopf bifurcation theorem to determine conditions under which limit cycle motion is born, and use computer simulations to investigate the nature of the attractors generated by such models. Copyright © 1996 Elsevier Science Ltd.	en_US
dc.relation.ispartof	Chaos, Solitons and Fractals	en_US
dc.relation.isbasedon	10.1016/S0960-0779(96)00071-9	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	An analysis of the complex dynamic behaviour of nonlinear oligopoly models with time delays	en_US
dc.type	Journal Article
utslib.citation.volume	12	en_US
utslib.citation.volume	7	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	08 Information and Computing Sciences	en_US
utslib.for	09 Engineering	en_US
dc.location.activity	ISI:A1996WC60600007	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Business
utslib.copyright.status	closed_access
pubs.issue	12	en_US
pubs.publication-status	Published	en_US
pubs.volume	7	en_US

Abstract:

We consider the fate of output in the Cournot oligopoly model when the equilibrium is locally unstable. We discuss types of nonlinearities which may be present to bound the motion and introduce time lags in production and information which serve as bifurcation parameters. We apply the Hopf bifurcation theorem to determine conditions under which limit cycle motion is born, and use computer simulations to investigate the nature of the attractors generated by such models. Copyright © 1996 Elsevier Science Ltd.

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http://hdl.handle.net/10453/13016