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Discrete Dynamics in Nature and Society
Volume 2011, Article ID 902014, 12 pages
Research Article

Complex Dynamics in Nonlinear Triopoly Market with Different Expectations

Group of Nonlinear Dynamics and Chaos, School of Management and Economics, Tianjin University, Tianjin 300072, China

Received 22 July 2011; Accepted 5 September 2011

Academic Editor: Yong Zhou

Copyright © 2011 Junhai Ma and Xiaosong Pu. 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.


A dynamic triopoly game characterized by firms with different expectations is modeled by three-dimensional nonlinear difference equations, where the market has quadratic inverse demand function and the firm possesses cubic total cost function. The local stability of Nash equilibrium is studied. Numerical simulations are presented to show that the triopoly game model behaves chaotically with the variation of the parameters. We obtain the fractal dimension of the strange attractor, bifurcation diagrams, and Lyapunov exponents of the system.