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Discrete Dynamics in Nature and Society
Volume 2016 (2016), Article ID 7418252, 7 pages
Research Article

Chaos Control on a Duopoly Game with Homogeneous Strategy

Department of Finance, Beihang University, Beijing 100191, China

Received 19 April 2016; Accepted 14 June 2016

Academic Editor: Christos K. Volos

Copyright © 2016 Manying Bai and Yazhou Gao. 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.


We study the dynamics of a nonlinear discrete-time duopoly game, where the players have homogenous knowledge on the market demand and decide their outputs based on adaptive expectation. The Nash equilibrium and its local stability are investigated. The numerical simulation results show that the model may exhibit chaotic phenomena. Quasiperiodicity is also found by setting the parameters at specific values. The system can be stabilized to a stable state by using delayed feedback control method. The discussion of control strategy shows that the effect of both firms taking control method is better than that of single firm taking control method.