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分布式NE和GNE寻求在定向通信网络上进行异构的多人游戏

Qianle Tao¹, Yongfang Liu¹, Chengxin Xian²

¹School of Automation, Northwestern Polytechnical University, Xi'an 710129, China.

Chaos (Woodbury, N.Y.)

|December 11, 2024

概括

本研究引入了新的分布式策略,用于在复杂的,异构的多玩家系统中找到纳什平衡 (NE) 和通用纳什平衡 (GNE). 这些方法可以加强对诸如无人机群和电网等系统的控制.

科学领域:

控制理论控制理论
游戏理论游戏理论
分布式系统分布式系统

背景情况:

具有异质动态的非合作游戏在自主系统和发电等领域至关重要.
现有的纳什平衡 (NE) 和通用纳什平衡 (GNE) 寻求方法往往缺乏适用于具有多样化的参与者动态和复杂网络结构的系统.

研究的目的:

在异构的多人非合作游戏中,开发新的分布式策略来寻求纳什平衡 (NE) 和通用纳什平衡 (GNE).
扩展现有方法,以适应非定向和定向通信网络,以及更复杂的参与者动态.

主要方法:

使用输出调节技术来设计分布式NE寻找非定向网络的策略.
使用拉格朗奇乘数和输出调节用于分布式GNE在合约束下搜索.
开发新的辅助变量,以解决NE和GNE寻求者不平衡的定向通信网络.

主要成果:

一个分布式的NE寻找策略成功地被设计为异质的多人游戏在无定向通信网络.
开发了一个分布式的GNE寻找策略,有效地处理参与者之间的合约束.
针对定向通信网络,提出了用于NE和GNE搜索的新型分布式策略,扩展了先前的研究.

结论:

提出的分布式策略对于在异质的多参与者系统中寻找NE和GNE是有效的,即使是复杂的网络拓.
开发的方法通过适应更一般的参与者和网络动态,比现有方法提供了显著的改进.
数字模拟验证了拟议的NE和GNE寻找策略的有效性和稳定性.

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