Analysis of a Game Model with Nonlinear Demand Functions for Real Estate Market

被引：0
|
作者：
Ma, Jun-Hai [1 ,3 ]
Mu, Ling-Ling [1 ,2 ]
机构：
[1] Tianjin Univ, Sch Management, Tianjin 300072, Peoples R China
[2] Hebei Univ Technol, Sch Management, Tianjin 300130, Peoples R China
[3] Tianjin Univ Finance & Econ, Tianjin 300222, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2010年 / 11卷 / 10期
基金：
中国国家自然科学基金; 中国博士后科学基金; 高等学校博士学科点专项科研基金;
关键词：
Game Model; Real Estate Market; Nash Equilibrium Point; CHAOTIC SYSTEMS; DUOPOLY GAME; SYNCHRONIZATION;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the nonlinear demand function method was implemented to analyze the complexity of a game model. This work performed a local stability analysis and found out that the stability of Nash equilibrium is lost through period-doubling bifurcation with some parameters varying. Numerical simulations were used to illustrate bifurcation diagrams, maximal Lyapunov exponents and sensitive dependence on initial conditions. Feedback control method was leverage to stabilize the chaotic behavior of the model.
引用
收藏
页码：831 / 836
页数：6
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