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Complex Dynamics and Chaos Control on a Kind of Bertrand Duopoly Game Model considering R&D Activities
Joint Authors
Zhan, Xueli
Tu, Hongliang
Mao, Xiaobing
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study a dynamic research and development two-stage input competition game model in the Bertrand duopoly oligopoly market with spillover effects on cost reduction.
We investigate the stability of the Nash equilibrium point and local stable conditions and stability region of the Nash equilibrium point by the bifurcation theory.
The complex dynamic behaviors of the system are shown by numerical simulations.
It is demonstrated that chaos occurs for a range of managerial policies, and the associated unpredictability is solely due to the dynamics of the interaction.
We show that the straight line stabilization method is the appropriate management measure to control the chaos.
American Psychological Association (APA)
Tu, Hongliang& Zhan, Xueli& Mao, Xiaobing. 2017. Complex Dynamics and Chaos Control on a Kind of Bertrand Duopoly Game Model considering R&D Activities. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151714
Modern Language Association (MLA)
Tu, Hongliang…[et al.]. Complex Dynamics and Chaos Control on a Kind of Bertrand Duopoly Game Model considering R&D Activities. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1151714
American Medical Association (AMA)
Tu, Hongliang& Zhan, Xueli& Mao, Xiaobing. Complex Dynamics and Chaos Control on a Kind of Bertrand Duopoly Game Model considering R&D Activities. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151714
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151714