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Volume 2017, Article ID 5434680, 12 pages
Research Article

Study on Triopoly Dynamic Game Model Based on Different Demand Forecast Methods in the Market

1College of Management and Economics, Tianjin University, Tianjin 300072, China
2College of Science, Tianjin University of Science and Technology, Tianjin 300457, China
3School of Economics, Beijing Wuzi University, Beijing 101149, China

Correspondence should be addressed to Junhai Ma; moc.nuyila@ujthjm and Xueli Zhan; moc.621@50236102zleux

Received 11 February 2017; Revised 22 March 2017; Accepted 26 March 2017; Published 6 July 2017

Academic Editor: Christos Volos

Copyright © 2017 Junhai Ma et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 and 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.