Study on Triopoly Dynamic Game Model Based on Different Demand Forecast Methods in the Market
Joint Authors
Ma, Junhai
Sun, Lijian
Zhan, Xueli
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The impact of inaccurate demand beliefs on dynamics of a Triopoly game is studied.
We suppose that all the players make their own estimations on possible demand with errors.
A dynamic Triopoly game with such demand belief is set up.
Based on this model, existence and local stable region of the equilibriums are investigated by 3D stable regions of Nash equilibrium point.
The complex dynamics, such as bifurcation scenarios and route to chaos, are displayed in 2D bifurcation diagrams, in which e1 and α are negatively related to each other.
Basins of attraction are investigated and we found that the attraction domain becomes smaller with the increase in price modification speed, which indicates that all the players’ output must be kept within a certain range so as to keep the system stable.
Feedback control method is used to keep the system at an equilibrium state.
American Psychological Association (APA)
Ma, Junhai& Sun, Lijian& Zhan, Xueli. 2017. Study on Triopoly Dynamic Game Model Based on Different Demand Forecast Methods in the Market. Complexity،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1143086
Modern Language Association (MLA)
Ma, Junhai…[et al.]. Study on Triopoly Dynamic Game Model Based on Different Demand Forecast Methods in the Market. Complexity No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1143086
American Medical Association (AMA)
Ma, Junhai& Sun, Lijian& Zhan, Xueli. Study on Triopoly Dynamic Game Model Based on Different Demand Forecast Methods in the Market. Complexity. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1143086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143086