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Value Iteration-Based Distributed Adaptive Dynamic Programming for Multi-Player Differential Game With Incomplete Information
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作者 Yun Zhang Yuqi Wang Yunze Cai 《IEEE/CAA Journal of Automatica Sinica》 2025年第2期436-447,共12页
In this paper,a distributed adaptive dynamic programming(ADP)framework based on value iteration is proposed for multi-player differential games.In the game setting,players have no access to the information of others&#... In this paper,a distributed adaptive dynamic programming(ADP)framework based on value iteration is proposed for multi-player differential games.In the game setting,players have no access to the information of others'system parameters or control laws.Each player adopts an on-policy value iteration algorithm as the basic learning framework.To deal with the incomplete information structure,players collect a period of system trajectory data to compensate for the lack of information.The policy updating step is implemented by a nonlinear optimization problem aiming to search for the proximal admissible policy.Theoretical analysis shows that by adopting proximal policy searching rules,the approximated policies can converge to a neighborhood of equilibrium policies.The efficacy of our method is illustrated by three examples,which also demonstrate that the proposed method can accelerate the learning process compared with the centralized learning framework. 展开更多
关键词 Distributed adaptive dynamic programming incomplete information multi-player differential game(MPDG) value iteration
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Value Iteration-Based Cooperative Adaptive Optimal Control for Multi-Player Differential Games With Incomplete Information 被引量:1
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作者 Yun Zhang Lulu Zhang Yunze Cai 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2024年第3期690-697,共8页
This paper presents a novel cooperative value iteration(VI)-based adaptive dynamic programming method for multi-player differential game models with a convergence proof.The players are divided into two groups in the l... This paper presents a novel cooperative value iteration(VI)-based adaptive dynamic programming method for multi-player differential game models with a convergence proof.The players are divided into two groups in the learning process and adapt their policies sequentially.Our method removes the dependence of admissible initial policies,which is one of the main drawbacks of the PI-based frameworks.Furthermore,this algorithm enables the players to adapt their control policies without full knowledge of others’ system parameters or control laws.The efficacy of our method is illustrated by three examples. 展开更多
关键词 Adaptive dynamic programming incomplete information multi-player differential game value iteration
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Distributed algorithms for aggregative games with multiple uncertain Euler–Lagrange systems over switching networks 被引量:1
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作者 Zhaocong Liu Jie Huang 《Journal of Automation and Intelligence》 2025年第1期2-9,共8页
In this paper,we investigate the distributed Nash equilibrium(NE)seeking problem for aggregative games with multiple uncertain Euler–Lagrange(EL)systems over jointly connected and weight-balanced switching networks.T... In this paper,we investigate the distributed Nash equilibrium(NE)seeking problem for aggregative games with multiple uncertain Euler–Lagrange(EL)systems over jointly connected and weight-balanced switching networks.The designed distributed controller consists of two parts:a dynamic average consensus part that asymptotically reproduces the unknown NE,and an adaptive reference-tracking module responsible for steering EL systems’positions to track a desired trajectory.The generalized Barbalat’s Lemma is used to overcome the discontinuity of the closed-loop system caused by the switching networks.The proposed algorithm is illustrated by a sensor network deployment problem. 展开更多
关键词 Aggregative games Euler-Lagrange systems Jointly connected networks Adaptive control
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Solving Stackelberg prediction games using inexact hyper-gradient methods
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作者 SHI Xu WANG Jiulin +1 位作者 JIANG Rujun SONG Weizheng 《运筹学学报(中英文)》 北大核心 2025年第3期93-123,共31页
The Stackelberg prediction game(SPG)is a bilevel optimization frame-work for modeling strategic interactions between a learner and a follower.Existing meth-ods for solving this problem with general loss functions are ... The Stackelberg prediction game(SPG)is a bilevel optimization frame-work for modeling strategic interactions between a learner and a follower.Existing meth-ods for solving this problem with general loss functions are computationally expensive and scarce.We propose a novel hyper-gradient type method with a warm-start strategy to address this challenge.Particularly,we first use a Taylor expansion-based approach to obtain a good initial point.Then we apply a hyper-gradient descent method with an ex-plicit approximate hyper-gradient.We establish the convergence results of our algorithm theoretically.Furthermore,when the follower employs the least squares loss function,our method is shown to reach an e-stationary point by solving quadratic subproblems.Numerical experiments show our algorithms are empirically orders of magnitude faster than the state-of-the-art. 展开更多
关键词 Stackelberg prediction game approximate hyper-gradient bilevel opti-mization
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Linear Exponential Quadratic Stochastic Differential Games and Applications
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作者 Su Qing Zhao Jirui 《南开大学学报(自然科学版)》 北大核心 2025年第5期110-120,共11页
The two-player nonzero-sum linear-exponential-quadratic stochastic differential game is studied.The game takes into account the players'attitudes to risk.The nonlinear transformations and change of probability mea... The two-player nonzero-sum linear-exponential-quadratic stochastic differential game is studied.The game takes into account the players'attitudes to risk.The nonlinear transformations and change of probability measure techniques are used to study the existence of both open-loop and closed-loop Nash equilibria for the game.Some examples are constructed to illustrate their differences.Furthermore,theoretical results are applied to solve the risk-sensitive portfolio game problem in the financial market and show the effects of risk attitudes and economic performance on equilibria. 展开更多
关键词 risk-sensitive stochastic differential games linear-quadratic problem Nash equilibria open-loop and closed-loop
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《Shapley's Conjecture on the Cores of Abstract Market Games》获教育部第九届高等学校科学研究优秀成果奖(人文社会科学)二等奖
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《北京交通大学学报(社会科学版)》 北大核心 2025年第4期F0002-F0002,共1页
成果名称:Shapley's Conjecture on the Cores of Abstract Market Games主要作者:曹志刚,秦承忠,杨晓光奖项类别:著作论文奖获奖等级:二等奖获奖论文《Shapley's Conjecture on the Cores of Abstract Market Games》发表于博... 成果名称:Shapley's Conjecture on the Cores of Abstract Market Games主要作者:曹志刚,秦承忠,杨晓光奖项类别:著作论文奖获奖等级:二等奖获奖论文《Shapley's Conjecture on the Cores of Abstract Market Games》发表于博弈论领域顶级期刊《Games and Economic Behavior》2018年第2期。论文研究成果初步解决了诺贝尔经济学奖获得者罗伊德·沙普利(Lloyd S. Shapley)提出的抽象市场博弈核非空的猜想。 展开更多
关键词 博弈论 抽象市场博弈 Shapleys Conjecture games and Economic Behavior
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An Overview of Distributed Nash Equilibrium Seeking in Noncooperative Games for Multi-agent Systems:A Dynamic Control-Based Perspective
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作者 Guanghui WEN Xiao FANG Meng LUAN 《Artificial Intelligence Science and Engineering》 2025年第4期239-254,共16页
This paper presents a comprehensive overview of distributed Nash equilibrium(NE)seeking algorithms in non-cooperative games for multiagent systems(MASs),with a distinct emphasis on the dynamic control perspective.It s... This paper presents a comprehensive overview of distributed Nash equilibrium(NE)seeking algorithms in non-cooperative games for multiagent systems(MASs),with a distinct emphasis on the dynamic control perspective.It specifically focuses on the research addressing distributed NE seeking problems in which agents are governed by heterogeneous dynamics.The paper begins by introducing fundamental concepts of general non-cooperative games and the NE,along with definitions of specific game structures such as aggregative games and multi-cluster games.It then systematically reviews existing studies on distributed NE seeking for various classes of MASs from the viewpoint of agent dynamics,including first-order,second-order,high-order,linear,and Euler-Lagrange(EL)systems.Furthermore,the paper highlights practical applications of these theoretical advances in cooperative control scenarios involving autonomous systems with complex dynamics,such as autonomous surface vessels,autonomous aerial vehicles,and other autonomous vehicles.Finally,the paper outlines several promising directions for future research. 展开更多
关键词 non-cooperative game aggregative game multi-cluster game Nash equilibrium dynamic control autonomous system
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Framework for adaptive multimodal serious games for early intervention of autistic children
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作者 Zhiqi XU Yuyong ZHAO +2 位作者 Jie WANG Jian CHANG Yuetian ZHANG 《虚拟现实与智能硬件(中英文)》 2025年第5期523-542,共20页
Background Autism spectrum disorder(ASD)is a pervasive developmental disorder characterized by difficulties in social communication and restricted,repetitive behaviors.Early intervention is essential to improve develo... Background Autism spectrum disorder(ASD)is a pervasive developmental disorder characterized by difficulties in social communication and restricted,repetitive behaviors.Early intervention is essential to improve developmental outcomes in children with ASD.Serious games,which combine educational objectives with game based interactions,have shown potential as tools for early intervention in patients with ASD.However,in China,the development of serious games specifically designed for children with ASD remains in its infancy,with significant gaps in technical frameworks and effective data management methods.Method This paper proposes a framework aimed at facilitating the development of multimodal serious games designed for ASD interventions.We demonstrated the feasibility of the framework by developing and integrating several components,such as web applications,mobile games,and augmented reality games.These tools are interconnected to achieve data connectivity and management.Additionally,adaptive mechanics were employed within the framework to analyze real-time player data,which allowed the game difficulty to be dynamically adjusted and provide a personalized experience for each child.Results The framework successfully integrated various multimodal games,ensuring that real-time data management supported personalized game experiences.This approach ensured that the interventions remained appropriately challenging while still achievable.Conclusion The results indicate that the proposed framework enhances collaboration among therapists,parents,and developers while also improving the effectiveness of ASD interventions.By delivering personalized gameplay experiences that are both challenging and achievable,the framework offers a scalable platform for the future development of serious games. 展开更多
关键词 Autism spectrum disorder(ASD) Serious games Multimodal games Early intervention Technical framework Augmented reality(AR)games Mobile games
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Impulsive thrust strategy for orbital pursuit-evasion games based on impulse-like constraint
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作者 Hongbo WANG Yao ZHANG +1 位作者 Hao LIU Kunpeng ZHANG 《Chinese Journal of Aeronautics》 2025年第1期520-536,共17页
This paper proposes a novel impulsive thrust strategy guided by optimal continuous thrust strategy to address two-player orbital pursuit-evasion game under impulsive thrust control.The strategy seeks to enhance the in... This paper proposes a novel impulsive thrust strategy guided by optimal continuous thrust strategy to address two-player orbital pursuit-evasion game under impulsive thrust control.The strategy seeks to enhance the interpretability of impulsive thrust strategy by integrating it within the framework of differential game in traditional continuous systems.First,this paper introduces an impulse-like constraint,with periodical changes in thrust amplitude,to characterize the impulsive thrust control.Then,the game with the impulse-like constraint is converted into the two-point boundary value problem,which is solved by the combined shooting and deep learning method proposed in this paper.Deep learning and numerical optimization are employed to obtain the guesses for unknown terminal adjoint variables and the game terminal time.Subsequently,the accurate values are solved by the shooting method to yield the optimal continuous thrust strategy with the impulse-like constraint.Finally,the shooting method is iteratively employed at each impulse decision moment to derive the impulsive thrust strategy guided by the optimal continuous thrust strategy.Numerical examples demonstrate the convergence of the combined shooting and deep learning method,even if the strongly nonlinear impulse-like constraint is introduced.The effect of the impulsive thrust strategy guided by the optimal continuous thrust strategy is also discussed. 展开更多
关键词 Orbital pursuit-evasion game Differential game Impulsive thrust Deep learning Shooting method
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My Experience as a Volunteer for the 2025 Asian Winter Games
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作者 王冉 张超(指导) 《中学生英语》 2025年第23期7-7,共1页
I was so excited to be a volunteer for the 2025 Asian Winter Games.It was a wonderful chance to meet people from all over Asia.During the Games,I helped players find their way around the stadium.I also answered questi... I was so excited to be a volunteer for the 2025 Asian Winter Games.It was a wonderful chance to meet people from all over Asia.During the Games,I helped players find their way around the stadium.I also answered questions from visitors.Everyone was friendly,and I felt happy to help them. 展开更多
关键词 VOLUNTEER ASSISTANCE Asian Winter games STADIUM VISITORS
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The Examination of Language Games in Terms of Equivalence in Translated Text From English to Arabic of the Novel of Jane Eyre by Charlotte Brontë
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作者 MuratÖzcan 《Journalism and Mass Communication》 2025年第4期216-223,共8页
The concept of equivalence,which expresses the relations between the source text and the target text in the translation process,can be defined as finding the closest equivalent of the source text in the target text.In... The concept of equivalence,which expresses the relations between the source text and the target text in the translation process,can be defined as finding the closest equivalent of the source text in the target text.In order for the translated text to have the same taste in the target language,the equivalence between the two languages should be good.Many novels have been translated from English to Arabic.This translation was translated from English to Arabic.Jane Eyre is in the Victorian England.The novel is about love between two people of different classes,underlining the pressures,class distinction,male domination in society.Jane Eyre,who was one of the first novels about women’s freedom and rights,is also one of the most important works of romanticism.The author was inspired by his own life.In this study,language plays in Arabic translation of famous novelist Charlotte Bronte’s Jane Eyre were examined in terms of equivalence.In addition to semantic,syntactic,linguistic,and stylistic dimensions,translation of language games such as proverb,idiom,metaphor,personification,and comparison,which are the main material of a decorated language,is emphasized and their equivalence is interpreted in the light of the theories of translation.The analysis of the selected sample sentences from the novel within the context of translation criticism shows that the translator preserves the form and content of the source text in a significant way and provides a translation equivalent to the original in terms of linguistic,syntactic,and semantic.The Arabic reader seems to be able to understand the language games in English in a similar way in their own language. 展开更多
关键词 Charlotte Bronte Jane Eyre language games translation equivalence
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Generic stability of cooperative equilibria for multi-leader-follower-population mixed games
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作者 Wenjun Wu Hui Yang Guanghui Yang 《Chinese Physics B》 2025年第10期285-293,共9页
This paper proposes a mixed game with finitely many leaders and follower populations.In such a game,two types of equilibria are defined.First,a Nash equilibrium is introduced for the scenario in which leaders and foll... This paper proposes a mixed game with finitely many leaders and follower populations.In such a game,two types of equilibria are defined.First,a Nash equilibrium is introduced for the scenario in which leaders and follower populations are in perfect competition,each maximizing its own payoff.Second,a cooperative equilibrium is proposed for the case where leaders and follower populations,respectively,form coalitions and cooperate.Moreover,the existence of both Nash and cooperative equilibria is proved under the condition that the payoff functions are continuous and quasi-concave.Finally,we demonstrate the generic stability of cooperative equilibria in mixed games.More concretely,in the sense of Baire category,the cooperative equilibria in most mixed games are stable under perturbations of the payoff functions.In short,this paper presents two main contributions.On the one hand,we provide a novel mixed-game framework,which differs from both classical leader-follower games and leader-follower population games.On the other hand,the Nash and cooperative equilibria in our mixed games are distinct from those in existing leader-follower population games.The results are further illustrated with examples. 展开更多
关键词 mixed game Nash equilibirum cooperative equilibrium EXISTENCE generic stability
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Influence of conformity on the evolution of cooperation in games with sampling rules on networks
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作者 Xianjia Wang Qiaoyu He 《Chinese Physics B》 2025年第3期215-229,共15页
We study the influence of conformity on the evolution of cooperative behavior in games under the learning method of sampling on networks.A strategy update rule based on sampling is introduced into the stag hunt game,w... We study the influence of conformity on the evolution of cooperative behavior in games under the learning method of sampling on networks.A strategy update rule based on sampling is introduced into the stag hunt game,where agents draw samples from their neighbors and then update their strategies based on conformity or inference according to the situation in the sample.Based on these assumptions,we present the state transition equations in the dynamic evolution of population cooperation,conduct simulation analysis on lattice networks and scale-free networks,and discuss how this mechanism affects the evolution of cooperation and how cooperation evolves under different levels of conformity in the network.Our simulation results show that blindly imitating the strategies of neighbors does not necessarily lead to rapid consensus in the population.Instead,rational inference through samples can better promote the evolution of the same strategy among all agents in the population.Moreover,the simulation results also show that a smaller sample size cannot reflect the true situation of the neighbors,which has a large randomness,and the size of the benefits obtained in cooperation determines the direction of the entire population towards cooperation or defection.This work incorporates the conforming behavior of agents into the game,uses the method of sampling for strategy updates and enriches the theory of evolutionary games with a more realistic significance. 展开更多
关键词 cooperative evolution stag hunt game CONFORMITY scale-free network
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Riot Games 正在探索新的平衡
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作者 杨直 《电子竞技》 2025年第6期54-56,共3页
岁末更迭之际,Riot Games(下文简称拳头)悄然推动了两项重要的变革。2024年12月底,海外一名KOL透露道,2025年起,拳头将允许生态里的俱乐部接受博彩类的赞助。这一消息随后得到拳头首席电子竞技运营官Whalen Rozelle的证实,并透露更多规则。
关键词 电子竞技 赞助 2025 Riot games 博彩
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A Survey of Distributed Algorithms for Aggregative Games
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作者 Huaqing Li Jun Li +2 位作者 Liang Ran Lifeng Zheng Tingwen Huang 《IEEE/CAA Journal of Automatica Sinica》 2025年第5期859-871,共13页
Game theory-based models and design tools have gained substantial prominence for controlling and optimizing behavior within distributed engineering systems due to the inherent distribution of decisions among individua... Game theory-based models and design tools have gained substantial prominence for controlling and optimizing behavior within distributed engineering systems due to the inherent distribution of decisions among individuals.In non-cooperative settings,aggregative games serve as a mathematical framework model for the interdependent optimal decision-making problem among a group of non-cooperative players.In such scenarios,each player's decision is influenced by an aggregation of all players'decisions.Nash equilibrium(NE)seeking in aggregative games has emerged as a vibrant topic driven by applications that harness the aggregation property.This paper presents a comprehensive overview of the current research on aggregative games with a focus on communication topology.A systematic classification is conducted on distributed algorithm research based on communication topologies such as undirected networks,directed networks,and time-varying networks.Furthermore,it sorts out the challenges and compares the algorithms'convergence performance.It also delves into real-world applications of distributed optimization techniques grounded in aggregative games.Finally,it proposes several challenges that can guide future research directions. 展开更多
关键词 Aggregative game distributed algorithm Nash equilibrium(NE) networked control
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Domestic Games:A New Engine Driving Chinese Digital Publishing to Go Global
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作者 Yuan Yuan Cao Kailuo 《Contemporary Social Sciences》 2025年第5期1-16,共16页
Digital publishing,as a vital medium of cultural communication in the digital age,is gradually becoming a significant force in promoting China’s fine traditional culture going global and facilitating the internationa... Digital publishing,as a vital medium of cultural communication in the digital age,is gradually becoming a significant force in promoting China’s fine traditional culture going global and facilitating the internationalization of Chinese industries.This paper takes Black Myth:Wukong as a case study to explore the role of digital game publishing in enhancing cultural empowerment,driving innovative communication,and promoting industrial collaboration.As an emerging force in the publishing industry,digital games have invigorated the momentum of Chinese culture going global through marketing and distribution,community operations,and content production,fostering the creative transformation and innovative development of cultural publishing.Through interactive narratives,diverse communication matrices,and industrial chain collaboration,digital game publishing not only facilitates deeper cultural exchange but also promotes the collaborative global development of related industries,including cultural tourism and technology.Digital game publishing has opened up new pathways for the global communication of Chinese culture and driven Chinese industries onto the international stage through technological innovation and cultural collaboration.This demonstrates its strategic value and development potential amid the wave of digitalization and globalization. 展开更多
关键词 digital publishing domestic games culture going global Black Myth:Wukong
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Min-distance bargaining solution in differential games
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作者 Zeyang WANG Ovanes.PETROSIAN Leon.A.PETROSYAN 《Chinese Journal of Aeronautics》 2025年第6期88-98,共11页
This study introduces a novel bargaining solution termed the"'min-distance bargaining solution"and applies it to a differential games model.A comprehensive algorithm for implementing this new solution is... This study introduces a novel bargaining solution termed the"'min-distance bargaining solution"and applies it to a differential games model.A comprehensive algorithm for implementing this new solution is presented,considering its time consistency within the differential games framework.Realistic scenarios are carefully analyzed to derive insightful findings regarding the mindistance solution,which are further validated through simulations using the resource extraction differential games model.Specifically,we examine scenarios such as managing a finite resource stock in the resource extraction game.Furthermore,a comparative analysis is conducted,pitting the mindistance bargaining solution against well-established alternatives such as Nash bargaining,Kalai-Smorodinsky,and Egalitarian solutions.By subjecting these solutions to numerical evaluations,the study offers valuable insights into decision-making processes.The findings not only contribute to negotiation theory by providing theoretical support but also have practical implications for decision-makers seeking effective strategies.This research significantly advances the field of negotiation theory,particularly in the context of differential games.The proposed min-distance bargaining solution demonstrates its applicability to real-world scenarios and enhances our understanding of strategic decision-making. 展开更多
关键词 Bargaining solution Differential games Negotiation theory Decision-making Time consistency Min-distance bargaining solution
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STP-based verification of extended finite multi-potential games
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作者 Zhipeng Zhang Haotian Peng +1 位作者 Jianbo Song Zengqiang Chen 《Control Theory and Technology》 2025年第4期590-601,共12页
Potential games(PG)have attracted the attention of many researchers because of its excellent properties and multi-PG are more flexible and extensible,which greatly improve the application range of PG.Consider that wei... Potential games(PG)have attracted the attention of many researchers because of its excellent properties and multi-PG are more flexible and extensible,which greatly improve the application range of PG.Consider that weights and states to each player are common and practical in many application scenarios,and in this paper,by introducing weight value and state into multi-PG,q-weighted PG and q-state PG are systematically discussed and analyzed to expand the types of PG,respectively.First,using semi-tensor product of matrices(STP),a matrix approach to the modeling of weighted PG is investigated,and the verification method of weighted PG is proposed by defining three matrices,and the problem of how to detect weighted PG can be transformed to solve an algebraic equation,which is composed of the above three matrices.Next,by bringing weight values into multi-PG and detecting the weighted PG for each group,the verification method is extended to the q-weighted PG.Second,the model of state-based PG is constructed,and the problem of how to detect state-based PG can be transformed to solve another algebraic equation,which is seen as an extension of the verification method of weighted PG.Subsequently,the verification of q-state PG is discussed.Finally,we use two examples to demonstrate the validation of obtained results. 展开更多
关键词 Semi-tensor product of matrices Multi-potential games Weighted logic system Linear algebraic equation
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The 9th Asian Winter Games
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作者 常聪莹 张超(指导) 《中学生英语》 2025年第15期7-7,共1页
The 9th Asian Winter Games were successfully held in Harbin,Heilongjiang Province,China,from February 7 to February 14,2025.This exciting event brought together athletes from all over Asia.They showed their great skil... The 9th Asian Winter Games were successfully held in Harbin,Heilongjiang Province,China,from February 7 to February 14,2025.This exciting event brought together athletes from all over Asia.They showed their great skills and strong will in different kinds of winter sports,such as skiing,skating and ice hockey. 展开更多
关键词 SKATING Asian Winter games Heilongjiang province SKIING winter sportssuch winter sports China HARBIN
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