Dynamic oligopolies and intertemporal demand interaction

Chiarella, C; Szidarovsky, F

Dynamic oligopolies and intertemporal demand interaction

Chiarella, C Szidarovsky, F

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Publisher:: Universidad de la Frontera
Publication Type:: Journal Article
Citation:: CUBO Matematica Educational, 2009, 11 (2), pp. 85 - 105
Issue Date:: 2009-01

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Field	Value	Language
dc.contributor.author	Chiarella, C	en_US
dc.contributor.author	Szidarovsky, F	en_US
dc.date.issued	2009-01	en_US
dc.identifier.citation	CUBO Matematica Educational, 2009, 11 (2), pp. 85 - 105	en_US
dc.identifier.issn	0716-7776	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8272
dc.description.abstract	Dynamic oligopolies are examined with continuous time scales and under the assumption that the demand at each time period is affected by earlier demands and consumptions. After the mathematical model is introduced the local asymptotical stability of the equilibrium is examined, and then we will discuss how information delays alter the stability conditions. We will also investigate the occurrence of a Hopf bifurcation gving the possibility of the birth of limit cycles. Numerical examples will be shown toillustrate the theoretical results.	en_US
dc.publisher	Universidad de la Frontera	en_US
dc.relation.ispartof	CUBO Matematica Educational	en_US
dc.title	Dynamic oligopolies and intertemporal demand interaction	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	11	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	1502 Banking, Finance and Investment	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	open_access
pubs.consider-herdc	true	en_US
pubs.issue	2	en_US
pubs.volume	11	en_US

Abstract:

Dynamic oligopolies are examined with continuous time scales and under the assumption that the demand at each time period is affected by earlier demands and consumptions. After the mathematical model is introduced the local asymptotical stability of the equilibrium is examined, and then we will discuss how information delays alter the stability conditions. We will also investigate the occurrence of a Hopf bifurcation gving the possibility of the birth of limit cycles. Numerical examples will be shown toillustrate the theoretical results.

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http://hdl.handle.net/10453/8272