Complexity Analysis of a Master-Slave Oligopoly Model and Chaos Control
Joint Authors
Ma, Junhai
He, Yanyan
Zhang, Fang
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-13
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We establish a master-slave oligopoly game model with an upstream monopoly whose output is considered and two downstream oligopolies whose prices are considered.
The existence and the local stable region of the Nash equilibrium point are investigated.
The complex dynamic properties, such as bifurcation and chaos, are analyzed using bifurcation diagrams, the largest Lyapunov exponent diagrams, and the strange attractor graph.
We further analyze the long-run average profit of the three firms and find that they are all optimal in the stable region.
In addition, delay feedback control method and limiter control method are used in nondelayed model to control chaos.
Furthermore, a delayed master-slave oligopoly game model is considered, and the three firms’ profit in various conditions is analyzed.
We find that suitable delayed parameters are important for eliminating chaos and maximizing the profit of the players.
American Psychological Association (APA)
Ma, Junhai& Zhang, Fang& He, Yanyan. 2014. Complexity Analysis of a Master-Slave Oligopoly Model and Chaos Control. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1034140
Modern Language Association (MLA)
Ma, Junhai…[et al.]. Complexity Analysis of a Master-Slave Oligopoly Model and Chaos Control. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1034140
American Medical Association (AMA)
Ma, Junhai& Zhang, Fang& He, Yanyan. Complexity Analysis of a Master-Slave Oligopoly Model and Chaos Control. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1034140
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034140