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On the Stability and Multistability in a Duopoly Game with R&D Spillover and Price Competition
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-08-07
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
In this paper, a dynamical two-stage game with R&D competition and joint profit maximization is built.
The stability of all the equilibrium points is discussed through Jury condition, and the stability region of the Nash equilibrium point is then given.
The influence of the parameters on the system is discussed, and we find that the firm can even benefit from chaos, when it has higher innovation efficiency and higher adjusting speed.
And then the coexistence of multiple attractors is studied using basin of attraction.
Our research result shows that the coexisting attractors can be observed in the two-parameter bifurcation diagram.
At last, the boundary of feasible region, global bifurcations, and formation mechanism of fractal structure of attracting basin are analyzed through critical curves and noninvertible map theory.
American Psychological Association (APA)
Zhou, Wei& Wang, Xiao-Xue. 2019. On the Stability and Multistability in a Duopoly Game with R&D Spillover and Price Competition. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-20.
https://search.emarefa.net/detail/BIM-1146262
Modern Language Association (MLA)
Zhou, Wei& Wang, Xiao-Xue. On the Stability and Multistability in a Duopoly Game with R&D Spillover and Price Competition. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-20.
https://search.emarefa.net/detail/BIM-1146262
American Medical Association (AMA)
Zhou, Wei& Wang, Xiao-Xue. On the Stability and Multistability in a Duopoly Game with R&D Spillover and Price Competition. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-20.
https://search.emarefa.net/detail/BIM-1146262
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146262