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A Dynamic Duopoly Cournot Model with R&D Efforts and Its Dynamic Behavior Analysis
Joint Authors
Zhou, Wei
Chu, Tong
Zhou, Jie
Li, Hui
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-11
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
In this paper, a dynamic two-stage Cournot duopoly game with R&D efforts is built.
Then, the local stability of the equilibrium points are discussed, and the stability condition of the Nash equilibrium point is also deduced through Jury criterion.
The complex dynamical behaviors of the built model are investigated by numerical simulations.
We found that the unique route to chaos is flip bifurcation, and the increase of adjusting speed will cause the system to lose stability and produce more complex dynamic behavior.
In addition, we also found the phenomenon of multistability in the given model.
Several kinds of coexistence of attractors are shown.
In particular, we found that boundary attractors can coexist with internal attractors, which also aggravates the complexity of the system.
At last, the chaotic state in the built system has been successfully controlled.
American Psychological Association (APA)
Zhou, Wei& Zhou, Jie& Chu, Tong& Li, Hui. 2020. A Dynamic Duopoly Cournot Model with R&D Efforts and Its Dynamic Behavior Analysis. Complexity،Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1145710
Modern Language Association (MLA)
Zhou, Wei…[et al.]. A Dynamic Duopoly Cournot Model with R&D Efforts and Its Dynamic Behavior Analysis. Complexity No. 2020 (2020), pp.1-19.
https://search.emarefa.net/detail/BIM-1145710
American Medical Association (AMA)
Zhou, Wei& Zhou, Jie& Chu, Tong& Li, Hui. A Dynamic Duopoly Cournot Model with R&D Efforts and Its Dynamic Behavior Analysis. Complexity. 2020. Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1145710
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1145710