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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 275123, 8 pages
http://dx.doi.org/10.1155/2014/275123
Research Article

Dynamics Analysis of Game and Chaotic Control in the Chinese Fixed Broadband Telecom Market

1Management School, Jilin University, Changchun 130025, China
2Heilongjiang Admission and Examinations Committee Office, Harbin 150090, China
3School of Life Science and Technology, Mudanjiang Normal University, Mudanjiang 157011, China

Received 8 October 2013; Revised 6 April 2014; Accepted 17 April 2014; Published 19 May 2014

Academic Editor: Manuel De la Sen

Copyright © 2014 Jia Liu 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.

Abstract

This paper considers a dynamic duopoly Cournot model based on nonlinear cost functions. The model with heterogeneous players and the spillover effect is applied to the Chinese fixed broadband telecom market. We have studied its dynamic game process. The existence and stability of the Nash equilibrium of the system have been discussed. Simulations are used to show the complex dynamical behaviors of the system. The results illustrate that altering the relevant parameters of system can affect the stability of the Nash equilibrium point and cause chaos to occur. With the use of the delay feedback control method, the chaotic behavior of the model has been stabilized at the Nash equilibrium point. The analysis and results will be of great importance for the Chinese fixed broadband telecom market.