一种面向多机器人对抗博弈的求解算法A solving algorithm against game oriented to multi-robot system
朱泽宇,陆建波,杨洲,钟智,滕玲
摘要(Abstract):
多机器人对抗系统中,攻防双方在合作联盟形式下共同追求各自的最高预期收益,最终收敛于博弈均衡状态。提出一种面向多机器人系统可计算的对抗博弈均衡求解方法。首先,形式化描述多机器人对抗博弈系统的状态迁移过程,并给出机器人博弈策略的表示及推理方法;然后设计一个DOAN算法,并以Stackelberg安全博弈为例求取均衡解;最后,通过模拟实验表明,提出的方法在可接受的时间内收敛于均衡解。
关键词(KeyWords): 多机器人系统;博弈;最高预期收益;状态迁移;均衡;DOAN
基金项目(Foundation): 国家科技支撑计划课题(2015BAH55F02);; 广西科学研究与技术开发计划项目(桂科攻14124005-2-7)~~
作者(Author): 朱泽宇,陆建波,杨洲,钟智,滕玲
DOI: 10.16652/j.issn.1004-373x.2018.23.036
参考文献(References):
- [1]GENESERETH M,BJOERNSSON Y.The international general game playing competition[J].AI magazine,2013,34(2):107-111.
- [2]GENESERETH M,THIELSCHER M.General game playing:synthesis lectures on artificial intelligence and machine learning[M].US:Morgan&Claypool Publishers,2014.
- [3]GENESERETH M R,LOVE N,PELL B.General game playing:overview of the AAAI competition[J].AI magazine,2005,26(2):62-72.
- [4]ZHANG D,THIELSCHER M.A logic for reasoning about game strategies[C]//Proceedings of the Twenty-nine AAAI Conference on Artificial Intelligence.US:AAAI,2015:1671-1677.
- [5]JIANG G,ZHANG D,PERRUSSEL L.GDL meets ATL:a logic for game description and strategic reasoning[C]//2014 International Conference on Artificial Intelligence.US:Springer International Publishing,2014:733-746.
- [6]史晓茹,侯媛彬,张涛.不完全信息博弈的机器人对抗决策[J].智能系统学报,2011,6(2):147-151.SHI Xiaoru,HOU Yuanbin,ZHANG Tao.The decision-making system of robots based on an incomplete information game[J].CAAI transactions on intelligent systems,2011,6(2):147-151.
- [7]秦季冬.基于博弈论的多机器人运动协调[D].南京:南京理工大学,2007.QIN Jidong.Multi-robot motion coordination based on game theory[D].Nanjing:Nanjing University of Science and Technology,2007.
- [8]LARIKA S,HAIDER S.On using evolutionary computation approach for strategy optimization in robot soccer[C]//2016 International Conference on Robotics and Artificial Intelligence.Rawalpindi:IEEE,2016:11-16.
- [9]CHEN S,LüG,WANG X.Offensive strategy in the 2D soccer simulation league using multi-group ant colony optimization[J].International journal of advanced robotic systems,2016,13(1):1-6.
- [10]THIELSCHER M.A general game description language for incomplete information games[C]//Proceedings of the 24th AAAI Conference on Artificial Intelligence.Menlo Park:AAAI Press,2010:994-999.