Complexity Analysis of a Triopoly Cooperation-Competition Game Model in Convergence Product Market
Joint Authors
Zhao, Liming
Liu, Xiaofeng
Ji, Ning
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This work considered a tripartite cooperation-competition game model for the convergence product market, whose products are compounds of two base products or services.
An early convergence product firm monopoly in this market and two potential entrants from the base products decide to cooperate with another to compete with the monopolist.
We analyzed factors that affect existence and local stability of the Nash equilibrium.
Rich nonlinear dynamic behaviors like bifurcation, chaos, and attractors are presented to explain the complex relationships between the three players.
Results showed that the pulling effect on profit for the united R&D activity can significantly enlarge the stable region.
Too frequently adjusted price strategy will bring the system into chaos.
A parameter feedback control method is given to control the chaotic system and we numerically verified its effectiveness.
This study has significant values to understand the fluctuations in related convergence product market.
American Psychological Association (APA)
Zhao, Liming& Liu, Xiaofeng& Ji, Ning. 2017. Complexity Analysis of a Triopoly Cooperation-Competition Game Model in Convergence Product Market. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1190691
Modern Language Association (MLA)
Zhao, Liming…[et al.]. Complexity Analysis of a Triopoly Cooperation-Competition Game Model in Convergence Product Market. Mathematical Problems in Engineering No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1190691
American Medical Association (AMA)
Zhao, Liming& Liu, Xiaofeng& Ji, Ning. Complexity Analysis of a Triopoly Cooperation-Competition Game Model in Convergence Product Market. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1190691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190691