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复杂系统与复杂性科学  2014, Vol. 11 Issue (3): 65-72    DOI: 10.13306/j.1672-3813.2014.03.010
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双决策变量条件下动态博弈模型的复杂性研究
郭战兵, 马军海
天津大学管理与经济学部,天津 300072
Complexity Analysis for Dynamic Game Model with Dual Decision Variables
GUO Zhanbing, MA Junhai
College of Management and Economics, Tianjin University, Tianjin 300072, China
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摘要 为更加符合实际情况,在以价格为单一决策变量的动态博弈模型的基础上,引入产品质量水平为新的决策变量,建立了有限理性条件下的双变量动态寡头博弈模型。首先分析了模型的复杂性和4类平衡点,其次通过数值模拟方式模拟了系统性质,发现引入新变量缩小稳定域的同时增加企业利润;两类分岔图是对应类似的;大部分参数对利润和稳定域的影响方向相反。这些研究为双决策变量下的动态寡头博弈提供了理论和现实指导。
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郭战兵
马军海
关键词 动态博弈双决策变量有限理性分岔混沌复杂性分析    
Abstract:On the basis of dynamic oligopoly game models, in which price is the only decision variable, we creativity introduce product quality level as a new decision variable in this paper to meet the actual circumstances better, and a new dynamic duopoly game model with dual decision variables was established under the consideration of bounded rationality. Firstly, we analyze the complexity of this model as well as four kinds of equilibrium points. Secondly, system properties are showed by numerical simulation. We can find that adding a new variable can reduce the stable region as well as increase profit, and two kinds of bifurcations are corresponding similar and the influence of each parameter on total profit and on stability domain are mostly in opposite directions. These studies have theoretical and practical values to guide the behaviors of dynamic oligopoly game with dual decision variables.
Key wordsdynamic game    dual decision variables    bounded rationality    bifurcation    chaos    complexity analysis
收稿日期: 2013-07-22      出版日期: 2026-06-22
基金资助:国家自然科学基金(61273231); 教育部博士点基金(20130032110073)
作者简介: 郭战兵(1985-),男,河北保定人,硕士研究生,主要研究方向为经济系统复杂性分析。
引用本文:   
郭战兵, 马军海. 双决策变量条件下动态博弈模型的复杂性研究[J]. 复杂系统与复杂性科学, 2014, 11(3): 65-72.
GUO Zhanbing, MA Junhai. Complexity Analysis for Dynamic Game Model with Dual Decision Variables[J]. Complex Systems and Complexity Science, 2014, 11(3): 65-72.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2014.03.010      或      https://fzkx.qdu.edu.cn/CN/Y2014/V11/I3/65
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