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复杂系统与复杂性科学  2020, Vol. 17 Issue (2): 47-53    DOI: 10.13306/j.1672-3813.2020.02.006
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带攻击玩家的演化拥塞博弈的鲁棒性分析
王桂林, 徐勇
河北工业大学理学院,天津 300401
Robustness Analysis of Evolutionary Congestion Game with Attackers
WANG Guilin, XU Yong
School of Science, Hebei University of Technology, Tianjin 300401, China
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摘要 针对带有攻击玩家和可行状态受限集的演化拥塞博弈,利用矩阵的半张量积方法,将博弈动态系统代数公式化并研究其鲁棒性问题。首先,将带有攻击玩家和控制玩家的演化拥塞博弈表示成代数形式;然后,设计开环控制和状态反馈控制,使可行状态受限集中的任意初始局势能鲁棒可达纳什均衡。最后,通过例子说明带有攻击玩家的演化拥塞博弈的动态系统在开环控制和状态反馈控制下能鲁棒可达纳什均衡。
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王桂林
徐勇
王桂林
徐勇
关键词 演化博弈拥塞博弈攻击玩家可行状态受限集开环控制状态反馈控制矩阵半张量积    
Abstract:The evolutionary congestion game with attackers and feasible state constrained set is investigated, using the semi-tensor product method of matrix, game dynamic system is transformed into an algebraic form and studied its robustness. Firstly, evolutionary congestion game with attackers and controllers is transformed into an algebraic form. Secondly, the open-loop control and state feedback control are transformed, and the Nash equilibrium is robust for any initial profiles in the restricted set of feasible states. Finally, an example is presented to illustrate that the dynamic system of evolutionary congestion game with attackers can achieve robust reachable equilibrium under open-loop control and state feedback control.
Key wordsevolutionary games    congestion games    attacker    feasible state constrained set    open-loop control    state feedback control    semi-tensor product of matrices
     出版日期: 2020-06-24
:  O225  
通讯作者: 徐勇(1971),男,山东蒙阴人,博士,教授,主要研究方向为非线性系统、复杂网络等。   
作者简介: 王桂林(1993),女,山西大同人,硕士研究生,主要研究方向为拥塞博弈的理论及应用。
引用本文:   
王桂林, 徐勇. 带攻击玩家的演化拥塞博弈的鲁棒性分析[J]. 复杂系统与复杂性科学, 2020, 17(2): 47-53.
WANG Guilin, XU Yong. Robustness Analysis of Evolutionary Congestion Game with Attackers[J]. Complex Systems and Complexity Science, 2020, 17(2): 47-53.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2020.02.006      或      https://fzkx.qdu.edu.cn/CN/Y2020/V17/I2/47
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