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V2V Energy Trading Considering User Satisfaction under Low-Carbon Objectives via Bayesian Game
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作者 Yue Yu Yu Liu +1 位作者 Xiang Feng Huaichao Wen 《Journal of Power and Energy Engineering》 2023年第12期15-35,共21页
In response to the additional load impact caused by the integration of electric vehicles (EVs) into the grid or microgrids (MGs), as well as the issue of low responsiveness of EV users during vehicle-to-vehicle (V2V) ... In response to the additional load impact caused by the integration of electric vehicles (EVs) into the grid or microgrids (MGs), as well as the issue of low responsiveness of EV users during vehicle-to-vehicle (V2V) power exchange processes, this paper explores a multi-party energy trading model considering user responsiveness under low carbon goals. The model takes into account the stochastic charging and discharging characteristics of EVs, user satisfaction, and energy exchange costs, and formulates utility functions for participating entities. This transforms the competition in multi-party energy trading into a Bayesian game problem, which is subsequently resolved. Furthermore, this paper primarily employs sensitivity analysis to evaluate the impact of multi-party energy trading on user responsiveness and green energy utilization, with the aim of promoting incentives in the electricity trading market and aligning with low-carbon requirements. Finally, through case simulations, the effectiveness of this model for the considered scenarios is demonstrated. 展开更多
关键词 Multi Electric Vehicles Multi Microgrid Energy Trading bayesian game Multi Party game Network Constraints
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Clustering routing algorithm of wireless sensor networks based on Bayesian game 被引量:9
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作者 Gengzhong Zheng Sanyang Liu Xiaogang Qi 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第1期154-159,共6页
To avoid uneven energy consuming in wireless sen- sor networks, a clustering routing model is proposed based on a Bayesian game. In the model, Harsanyi transformation is introduced to convert a static game of incomple... To avoid uneven energy consuming in wireless sen- sor networks, a clustering routing model is proposed based on a Bayesian game. In the model, Harsanyi transformation is introduced to convert a static game of incomplete information to the static game of complete but imperfect information. In addition, the existence of Bayesian nash equilibrium is proved. A clustering routing algorithm is also designed according to the proposed model, both cluster head distribution and residual energy are considered in the design of the algorithm. Simulation results show that the algorithm can balance network load, save energy and prolong network lifetime effectively. 展开更多
关键词 wireless sensor networks (WSNs) clustering routing bayesian game energy efficiency.
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Using Bayesian Game Model for Intrusion Detection in Wireless Ad Hoc Networks
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作者 Hua Wei Hao Sun 《International Journal of Communications, Network and System Sciences》 2010年第7期602-607,共6页
Wireless ad ho network is becoming a new research fronter, in which security is an important issue. Usually some nodes act maliciously and they are able to do different kinds of Denial of Service (Dos). Because of the... Wireless ad ho network is becoming a new research fronter, in which security is an important issue. Usually some nodes act maliciously and they are able to do different kinds of Denial of Service (Dos). Because of the limited resource, intrusion detection system (IDS) runs all the time to detect intrusion of the attacker which is a costly overhead. In our model, we use game theory to model the interactions between the intrusion detection system and the attacker, and a realistic model is given by using Bayesian game. We solve the game by finding the Bayesian Nash equilibrium. The results of our analysis show that the IDS could work intermittently without compromising on its effectiveness. At the end of this paper, we provide an experiment to verify the rationality and effectiveness of the proposed model. 展开更多
关键词 Wireless Ad HOC Networks game Theory INTRUSION Detection System bayesian NASH EQUILIBRIUM
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One-Time Rational Secret Sharing Scheme Based on Bayesian Game 被引量:8
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作者 TIAN Youliang MA Jianfeng +2 位作者 PENG Changgen CHEN Xi JI Wenjiang 《Wuhan University Journal of Natural Sciences》 CAS 2011年第5期430-434,共5页
The rational secret sharing cannot be realized in the case of being played only once, and some punishments in the one-time rational secret sharing schemes turn out to be empty threats. In this paper, after modeling 2-... The rational secret sharing cannot be realized in the case of being played only once, and some punishments in the one-time rational secret sharing schemes turn out to be empty threats. In this paper, after modeling 2-out-of-2 rational secret sharing based on Bayesian game and considering different classes of protocol parties, we propose a 2-out-of-2 secret sharing scheme to solve cooperative problem of a rational secret sharing scheme being played only once. Moreover, we prove that the strategy is a perfect Bayesian equilibrium, adopted only by the parties in their decision-making according to their belief system (denoted by the probability distribution) and Bayes rule, without requiring simultaneous channels. 展开更多
关键词 rational secret sharing one-time rational secret sharing bayesian game perfect bayesian equilibrium
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A Bayesian Game Approach for Demand Response Management Considering Incomplete Information 被引量:3
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作者 Xiaofeng Liu Difei Tang Zhicheng Dai 《Journal of Modern Power Systems and Clean Energy》 SCIE EI CSCD 2022年第2期492-501,共10页
Residential flexible resource is attracting much attention in demand response(DR)for peak load shifting.This paper proposes a scenario for multi-stage DR project to schedule energy consumption of residential communiti... Residential flexible resource is attracting much attention in demand response(DR)for peak load shifting.This paper proposes a scenario for multi-stage DR project to schedule energy consumption of residential communities considering the incomplete information.Communities in the scenario can decide whether to participate in DR in each stage,but the decision is the private information that is unknown to other communities.To optimize the energy consumption,a Bayesian game approach is formulated,in which the probability characteristic of the decision-making of residential communities is described with Markov chain considering human behavior of bounded rationality.Simulation results show that the proposed approach can benefit all residential communities and power grid,but the optimization effect is slightly inferior to that in complete information game approach. 展开更多
关键词 Demand response(DR) bayesian game energy consumption scheduling Markov chain.
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Learning implicit information in Bayesian games with knowledge transfer 被引量:1
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作者 Guanpu CHEN Kai CAO Yiguang HONG 《Control Theory and Technology》 EI CSCD 2020年第3期315-323,共9页
In this paper,we consider to learn the inherent probability distribution of types via knowledge transfer in a two-player repeated Bayesian game,which is a basic model in network security.In the Bayesian game,the attac... In this paper,we consider to learn the inherent probability distribution of types via knowledge transfer in a two-player repeated Bayesian game,which is a basic model in network security.In the Bayesian game,the attacker's distribution of types is unknown by the defender and the defender aims to reconstruct the distribution with historical actions.lt is dificult to calculate the distribution of types directly since the distribution is coupled with a prediction function of the attacker in the game model.Thus,we seek help from an interrelated complete-information game,based on the idea of transfer learning.We provide two different methods to estimate the prediction function in difftrent concrete conditions with knowledge transfer.After obtaining the estimated prediction function,the deiender can decouple the inherent distribution and the prediction function in the Bayesian game,and moreover,reconstruct the distribution of the attacker's types.Finally,we give numerical examples to illustrate the effectiveness of our methods. 展开更多
关键词 bayesian game repeated game knowledge transfer SECURITY
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The impact of honesty and trickery on a Bayesian quantum prisoners’ dilemma game
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作者 刘博阳 赵鑫 +4 位作者 戴宏毅 张明 廖鹰 郭晓峰 郜伟 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第7期221-227,共7页
To explore the influence of quantum information on the common social problem of honesty and trickery,we propose a Bayesian model for the quantum prisoners’dilemma game.In this model,the players’strategy formation is... To explore the influence of quantum information on the common social problem of honesty and trickery,we propose a Bayesian model for the quantum prisoners’dilemma game.In this model,the players’strategy formation is regarded as a negotiation of their move contract based on their types of decision policies,honesty or trickery.Although the implementation of quantum information cannot eliminate tricky players,players in our model can always end up with higher payoffs than in the classical game.For a good proportion of a credibility parameter value,a rational player will take an honest action,which is in remarkable contrast to the observation that players tend to defect in the classical prisoners’dilemma game.This research suggests that honesty will be promoted to enhance cooperation with the assistance of quantum information resources. 展开更多
关键词 quantum game bayesian game quantum contract
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IoT Security Situational Awareness Based on Q-Learning and Bayesian Game
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作者 Yang Li Tianying Liu +1 位作者 Jianming Zhu Xiuli Wang 《国际计算机前沿大会会议论文集》 2021年第2期190-203,共14页
IoT security is very crucial to IoT applications,and security situational awareness can assess the overall security status of the IoT.Traditional situational awareness methods only consider the unilateral impact of at... IoT security is very crucial to IoT applications,and security situational awareness can assess the overall security status of the IoT.Traditional situational awareness methods only consider the unilateral impact of attack or defense,but lackconsideration of joint actions by both parties.Applying gametheory to security situational awareness can measure the impact of the opposition and interdependence of the offensive and defensive parties.This paper proposes an IoT security situational awareness method based on Q-Learning and Bayesian game.Through Q-Learning update,the long-term benefits of action strategies in specific states were obtained,and static Bayesian game methods were used to solve the Bayesian Nash Equilibrium of participants of different types.The proposed method comprehensively considers offensive and defensive actions,obtains optimal defense decisions in multi-state and multi-type situations,and evaluates security situation.Experimental results prove the effectiveness of this method. 展开更多
关键词 IoT security Q-LEARNING bayesian game
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Hierarchical Hypergames and Bayesian Games:A Generalization of the Theoretical Comparison of Hypergames and Bayesian Games Considering Hierarchy of Perceptions 被引量:2
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作者 SASAKI Yasuo KIJIMA Kyoichi 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2016年第1期187-201,共15页
This paper discusses the relationship of two independently developed models of games with incomplete information,hierarchical hypergames and Bayesian games.It can be considered as a generalization of the previous stud... This paper discusses the relationship of two independently developed models of games with incomplete information,hierarchical hypergames and Bayesian games.It can be considered as a generalization of the previous study on the theoretical comparison of simple hypergames and Bayesian games(Sasaki and Kijima,2012) by taking into account hierarchy of perceptions,i.e.,an agent's perception about the other agents' perceptions,and so on.The authors first introduce the general way of transformation of any hierarchical hypergames into corresponding Bayesian games,which was called as the Bayesian representation of hierarchical hypergames.The authors then show that some equilibrium concepts for hierarchical hypergames can be associated with those for Bayesian games and discuss implications of the results. 展开更多
关键词 系统科学 系统学 系统工程 理论
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HYPERGAMES AND BAYESIAN GAMES:A THEORETICAL COMPARISON OF THE MODELS OF GAMES WITH INCOMPLETE INFORMATION 被引量:1
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作者 Yasuo SASAKI Kyoichi KIJIMA 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2012年第4期720-735,共16页
现在的学习与不完全的信息讨论在比赛的二个独立地发达的模型之间的关系, hypergames (班尼特, 1977 ) 并且贝叶斯的比赛(Harsanyi, 1967 ) 。作者首先证明任何 hypergame 罐头自然地以以一个统一方法的贝叶斯的比赛是 reformulated... 现在的学习与不完全的信息讨论在比赛的二个独立地发达的模型之间的关系, hypergames (班尼特, 1977 ) 并且贝叶斯的比赛(Harsanyi, 1967 ) 。作者首先证明任何 hypergame 罐头自然地以以一个统一方法的贝叶斯的比赛是 reformulated。转变过程被称为 hypergame 的贝叶斯的表示。作者然后证明为 hypergames 定义的一些平衡概念在某种意义上等价于为贝叶斯的比赛的那些。而且,作者基于建议分析小心地讨论每个模型怎么应该根据分析器目的被使用。 展开更多
关键词 信息不完全 游戏模式 贝叶斯 模型 概念定义 作者
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基于不完全信息的工业园区多主体需求响应博弈策略研究
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作者 孙勇 王惠锋 +5 位作者 孟祥东 李宝聚 王大亮 王尧 胡枭 陈厚合 《电工电能新技术》 CSCD 北大核心 2024年第2期65-77,共13页
随着我国电力市场化改革进程的推进与发展,在工业园区层面如何攫取各响应主体最大利润,以引导用户积极参与需求响应成为亟待解决的新问题。基于响应流程中市场信息披露有限且用户与聚合商自由缔结合约的情形,本文提出了一种聚合商视角... 随着我国电力市场化改革进程的推进与发展,在工业园区层面如何攫取各响应主体最大利润,以引导用户积极参与需求响应成为亟待解决的新问题。基于响应流程中市场信息披露有限且用户与聚合商自由缔结合约的情形,本文提出了一种聚合商视角下的最佳博弈策略及针对用户的收益分配方式。考虑工业园区内用户的利益关系,建立以不完全信息贝叶斯博弈作为上层、以合作博弈作为下层的多主体双层博弈架构;其次以最大化自身利益为目标,采用改进的虚拟遗憾最小化思想结合启发式算法求解博弈均衡,达成园区内的稳定合作关系。最后通过算例进行验证,分别设置了不同场景下申报策略和收益分配两方面的多个对比模型,结果表明本文所提方法得出的策略能够提高用户收益,且利益分配机制的合理选择能够在提高用户需求响应积极性方面起到促进作用。 展开更多
关键词 多主体需求响应 贝叶斯博弈 电力市场 工业园区 不完全信息 虚拟遗憾最小化
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基于分布式控制的多无人机协作喷洒技术
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作者 张艺龄 张正华 +2 位作者 肖胜川 胡林宇 李斌 《信息技术》 2024年第4期59-63,69,共6页
针对现有的多无人机协同中航迹规划难、造成喷洒重叠遗漏等问题,文中研究了一种优化航迹的多无人机协同精准喷洒关键技术。建立四旋翼植保无人机的动力学模型,进行动态规划算法下的模拟实验。将无人机的作业能耗和非作业能耗、药液容量... 针对现有的多无人机协同中航迹规划难、造成喷洒重叠遗漏等问题,文中研究了一种优化航迹的多无人机协同精准喷洒关键技术。建立四旋翼植保无人机的动力学模型,进行动态规划算法下的模拟实验。将无人机的作业能耗和非作业能耗、药液容量、路径长度作为约束条件,尽量减少转弯次数来优化航迹。该无人机集群采用分布式结构,利用了基于节点类型的贝叶斯联盟博弈算法,来对无人机联盟结构进行动态调整,达到航迹的优化目的。该方法已成功地应用于多无人机协同精准喷洒作业中,实验验证了该方法对航迹优化的有效性。 展开更多
关键词 四旋翼植保无人机 精准喷洒技术 分布式结构 动态规划算法 贝叶斯联盟博弈算法
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基于不完全信息博弈的云制造群智能优化方法
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作者 张坤鹏 王艳 纪志成 《系统仿真学报》 CAS CSCD 北大核心 2024年第4期915-928,共14页
为解决云制造过程中云平台经营方与需求方之间的不完全信息以及相互竞争制约的关系导致制造服务难以抉择的问题,提出了一种基于不完全信息博弈模型的云制造群智能优化方法。以各自理性追求自身收益函数最大化为目标,针对需求方与云平台... 为解决云制造过程中云平台经营方与需求方之间的不完全信息以及相互竞争制约的关系导致制造服务难以抉择的问题,提出了一种基于不完全信息博弈模型的云制造群智能优化方法。以各自理性追求自身收益函数最大化为目标,针对需求方与云平台之间的利益竞争关系建立了基于不完全信息的静态博弈模型,并提出了需求方与云平台之间的竞争规则,通过海萨尼转换引入自然,将其转换为完全信息下的动态博弈得到贝叶斯扩展式,并证明了贝叶斯纳什均衡的存在性和唯一性。提出了一种基于高斯函数与扰动策略更新的粒子群算法对上述模型进行求解。仿真结果表明:改进算法相对其他算法有较快的收敛速度与较高的云制造系统总收益,不完全信息博弈模型能够兼顾不同类型的需求方提高云制造系统的总收益。 展开更多
关键词 云制造 博弈 不完全信息 贝叶斯纳什均衡 收益函数 粒子群算法
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不可达系统的鲁棒贝叶斯估计方法
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作者 易圣伦 任雪梅 《控制理论与应用》 EI CAS CSCD 北大核心 2024年第2期221-228,共8页
本文针对模型扰动下的不可达系统,提出了一种新的针对退化分布下的极大极小博弈问题的求解和证明方法.首先,文章将有相对熵约束的极大极小博弈问题转换成了一个无约束的拉格朗日函数,并找到其在均值和奇异的方差矩阵方向上都为严格凹函... 本文针对模型扰动下的不可达系统,提出了一种新的针对退化分布下的极大极小博弈问题的求解和证明方法.首先,文章将有相对熵约束的极大极小博弈问题转换成了一个无约束的拉格朗日函数,并找到其在均值和奇异的方差矩阵方向上都为严格凹函数的条件;其次,本文通过求解其均值和方差的极大值,得到所对应的鲁棒贝叶斯估计器和奇异的扰动状态误差协方差矩阵;最后,文章证明存在一个唯一的拉格朗日乘子满足其约束条件.微机电系统加速度计漂移估计仿真结果表明对所提算法的有效性. 展开更多
关键词 鲁棒估计 贝叶斯理论 不可达系统 极大极小博弈
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计及马尔科夫链的能源社区产消者贝叶斯博弈策略
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作者 张虹 孙书朋 +3 位作者 李亚洲 孟庆尧 马泽群 刘旭 《智慧电力》 北大核心 2024年第3期39-46,79,共9页
随着电力系统用户侧能源转型比例的不断提高,传统的社区用电居民逐步向着能源社区产消者转变,并通过能源交易的方式来促进分布式能源就地消纳。在此背景下,通过构建贝叶斯博弈能源交易模型,实现能源社区产消者之间的自主能源交易。首先... 随着电力系统用户侧能源转型比例的不断提高,传统的社区用电居民逐步向着能源社区产消者转变,并通过能源交易的方式来促进分布式能源就地消纳。在此背景下,通过构建贝叶斯博弈能源交易模型,实现能源社区产消者之间的自主能源交易。首先,针对交易过程中产消者交易身份的不确定性问题,采用马尔科夫链对其身份状态概率进行分析。然后,将概率分布作为先验概率,建立能源社区产消者能源交易的贝叶斯博弈模型,对产消者之间的能源交易过程进行优化。最后,通过算例验证了所提模型在保证产消者隐私性的同时提高了其自身的收益。 展开更多
关键词 产消者 马尔科夫链 交易身份 不确定性 贝叶斯博弈
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交互博弈引导的网络流量异常检测建模方法研究
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作者 张文哲 杨栋 魏松杰 《信息安全学报》 CSCD 2024年第2期36-46,共11页
基于网络流量的系统入侵会带来严重破坏,因此寻找能够准确识别和分类异常流量的方法具有重要的研究价值。数据作为基于机器学习模型的检测算法的唯一依据,训练过程对于外界是一个黑盒过程,整个模型在训练和使用过程中缺乏用户交互。这... 基于网络流量的系统入侵会带来严重破坏,因此寻找能够准确识别和分类异常流量的方法具有重要的研究价值。数据作为基于机器学习模型的检测算法的唯一依据,训练过程对于外界是一个黑盒过程,整个模型在训练和使用过程中缺乏用户交互。这导致在网络运维场景中,专业运维人员不能根据当前模型检测结果,实时将指导信息反馈到系统中,进而削弱了系统的场景适应能力和检测纠错能力。本文基于强化学习过程,设计了一种基于动态贝叶斯博弈的交互引导式的网络流量异常检测方法。通过检测模型和运维人员交互的方式,在训练过程中让运维人员提供专业反馈使得模型获得外界针对当前检测效果的奖惩信号,从而对自身特征聚焦方向和收敛过程起到引导的作用。将运维人员和检测模型视为博弈的双方,建立博弈模型,使双方之间的交互引导行为达到动态平衡状态。通过博弈对于模型交互频次和内容反馈给出指导,从而使得模型具有动态适应当前场景的能力,有效控制了人机交互反馈所带来的系统开销。实验部分验证了交互式博弈的流量检测方法中,双方博弈指导交互行为的可行性与有效性,证明了该方法在动态场景中具有良好的适应能力。相较于传统的机器学习方法,交互引导式模型提高了模型整体的检测性能。性能对比测试结果表明交互频次每增加0.02%,系统整体检测性能随之提升0.01%。 展开更多
关键词 动态贝叶斯博弈 强化学习 网络流量 异常检测
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具有认知偏差的雷达对抗建模方法
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作者 马红光 龙正平 +1 位作者 闫彬舟 宋小杉 《强激光与粒子束》 CAS CSCD 北大核心 2024年第4期153-159,共7页
认知偏差是认知电子战中的客观存在。基于动态博弈方法,针对认知雷达对抗过程中因不完整信息和测量误差导致的认知偏差,研究雷达对抗建模方法:以雷达抗干扰改善因子和干扰机干扰效益因子计算博弈双方的效益,采用精炼贝叶斯均衡建立动态... 认知偏差是认知电子战中的客观存在。基于动态博弈方法,针对认知雷达对抗过程中因不完整信息和测量误差导致的认知偏差,研究雷达对抗建模方法:以雷达抗干扰改善因子和干扰机干扰效益因子计算博弈双方的效益,采用精炼贝叶斯均衡建立动态雷达对抗模型,分析认知偏差造成的影响。仿真实验结果证明了所提方法的有效性。 展开更多
关键词 认知电子战 认知偏差 雷达对抗 动态博弈 精炼贝叶斯均衡
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移动边缘计算网络下基于静态贝叶斯博弈的入侵响应策略研究 被引量:1
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作者 范伟 彭诚 +1 位作者 朱大立 王雨晴 《通信学报》 EI CSCD 北大核心 2023年第2期70-81,共12页
针对移动边缘计算环境下边缘节点资源受限、入侵过程难以被准确检测且缺乏有效应对外部入侵的入侵响应策略的问题,提出了一种适用于移动边缘计算环境的入侵检测网络结构,建立了基于静态贝叶斯博弈的入侵响应决策模型,模拟边缘节点与外... 针对移动边缘计算环境下边缘节点资源受限、入侵过程难以被准确检测且缺乏有效应对外部入侵的入侵响应策略的问题,提出了一种适用于移动边缘计算环境的入侵检测网络结构,建立了基于静态贝叶斯博弈的入侵响应决策模型,模拟边缘节点与外部入侵者的网络交互行为,并对博弈过程中攻击者和防御者选择不同行为的概率进行了预测。入侵响应决策模型综合考虑系统资源、响应成本以及检测率、误报率和漏报率等因素,在兼顾入侵检测系统资源消耗及边缘节点隐私保护的基础上,对入侵检测系统的响应决策进行优化。实验分析了影响入侵响应决策的因素,为具体应用提供了实验依据。 展开更多
关键词 移动边缘计算 静态贝叶斯博弈 贝叶斯纳什均衡
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Study on Game Theory of Social Law Enforcement
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作者 张国臣 黎志成 《Journal of Beijing Institute of Technology》 EI CAS 2003年第3期329-331,共3页
Based on the basis of the two stage dynamic game of complete information and purely tactful perfect equilibrium theory, the non cooperative gaming between the police department and the criminals is analyzed. Dyn... Based on the basis of the two stage dynamic game of complete information and purely tactful perfect equilibrium theory, the non cooperative gaming between the police department and the criminals is analyzed. Dynamic game can be proved to forecast and explain potential tactful choices of the police department and the criminals at various stages, so as to analyze the essence of the law enforcement by the theoretical models. 展开更多
关键词 law enforcement dynamic game Nash equilibrium bayesian equilibrium
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多主体博弈共赢的电动汽车充电桩共享方法 被引量:3
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作者 黄小庆 李隆意 +2 位作者 徐鹏鑫 王秀茹 韩少华 《电工技术学报》 EI CSCD 北大核心 2023年第11期2945-2961,共17页
充电桩共享是缓解车桩配置不平衡的一种可行方案。该文综合考虑配电网、电动汽车(EV)用户、充电桩、聚合商四方主体利益,提出一种基于主从博弈的充电桩共享方法。给出了基于车桩匹配中心的充电桩共享多主体博弈框架,并分别建立四个主体... 充电桩共享是缓解车桩配置不平衡的一种可行方案。该文综合考虑配电网、电动汽车(EV)用户、充电桩、聚合商四方主体利益,提出一种基于主从博弈的充电桩共享方法。给出了基于车桩匹配中心的充电桩共享多主体博弈框架,并分别建立四个主体的成本和效益函数;提出考虑节点边际电价的车-桩-网三阶段主从博弈经济调度模型,并给出基于静态不完全信息博弈的充电桩及其聚合商最优报价策略和基于最小费用最大流的车桩匹配策略;结合图论最短路最大流理论,提出基于Ford-Fulkerson最大流算法的主从博弈双层迭代求解方法。算例分析表明,该文所提方法能有效提升四方主体经济效益、车桩匹配成功数和充电桩使用率。 展开更多
关键词 节点边际电价 主从博弈 最小费用最大流 贝叶斯均衡 充电桩共享
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