This paper is concerned with distributed Nash equi librium seeking strategies under quantized communication. In the proposed seeking strategy, a projection operator is synthesized with a gradient search method to achi...This paper is concerned with distributed Nash equi librium seeking strategies under quantized communication. In the proposed seeking strategy, a projection operator is synthesized with a gradient search method to achieve the optimization o players' objective functions while restricting their actions within required non-empty, convex and compact domains. In addition, a leader-following consensus protocol, in which quantized informa tion flows are utilized, is employed for information sharing among players. More specifically, logarithmic quantizers and uniform quantizers are investigated under both undirected and connected communication graphs and strongly connected digraphs, respec tively. Through Lyapunov stability analysis, it is shown that play ers' actions can be steered to a neighborhood of the Nash equilib rium with logarithmic and uniform quantizers, and the quanti fied convergence error depends on the parameter of the quan tizer for both undirected and directed cases. A numerical exam ple is given to verify the theoretical results.展开更多
Dear Editor,The distributed generalized-Nash-equilibrium(GNE)seeking in noncooperative games with nonconvexity is the topic of this letter.Inspired by the sequential quadratic programming(SQP)method,a multi-timescale ...Dear Editor,The distributed generalized-Nash-equilibrium(GNE)seeking in noncooperative games with nonconvexity is the topic of this letter.Inspired by the sequential quadratic programming(SQP)method,a multi-timescale multi-agent system(MAS)is developed,and its convergence to a critical point of the game is proven.To illustrate the qualities and efficacy of the theoretical findings,a numerical example is elaborated.展开更多
Dear Editor,This letter is concerned with prescribed-time Nash equilibrium(PTNE)seeking problem in a pursuit-evasion game(PEG)involving agents with second-order dynamics.In order to achieve the prior-given and user-de...Dear Editor,This letter is concerned with prescribed-time Nash equilibrium(PTNE)seeking problem in a pursuit-evasion game(PEG)involving agents with second-order dynamics.In order to achieve the prior-given and user-defined convergence time for the PEG,a PTNE seeking algorithm has been developed to facilitate collaboration among multiple pursuers for capturing the evader without the need for any global information.Then,it is theoretically proved that the prescribedtime convergence of the designed algorithm for achieving Nash equilibrium of PEG.Eventually,the effectiveness of the PTNE method was validated by numerical simulation results.A PEG consists of two groups of agents:evaders and pursuers.The pursuers aim to capture the evaders through cooperative efforts,while the evaders strive to evade capture.PEG is a classic noncooperative game.It has attracted plenty of attention due to its wide application scenarios,such as smart grids[1],formation control[2],[3],and spacecraft rendezvous[4].It is noteworthy that most previous research on seeking the Nash equilibrium of the game,where no agent has an incentive to change its actions,has focused on asymptotic and exponential convergence[5]-[7].展开更多
Dear Editor,This letter examines the fixed-time stability of the Nash equilibrium(NE)in non-cooperative games.We propose a consensus-based NE seeking algorithm for situations where players do not have perfect informat...Dear Editor,This letter examines the fixed-time stability of the Nash equilibrium(NE)in non-cooperative games.We propose a consensus-based NE seeking algorithm for situations where players do not have perfect information and communicate via a topology graph.The proposed algorithm can achieve NE in a fixed time that does not depend on initial conditions and can be adjusted in advance.展开更多
Dear Editor, This letter is concerned with prescribed-time fully distributed Nash equilibrium seeking for networked games under directed graphs. An adaptive algorithm is proposed to ensure the convergence of all playe...Dear Editor, This letter is concerned with prescribed-time fully distributed Nash equilibrium seeking for networked games under directed graphs. An adaptive algorithm is proposed to ensure the convergence of all players to the Nash equilibrium without requiring any knowledge of global parameters. Moreover, it is theoretically proved that the convergence time of the proposed seeking strategy can be predefined based on practical requirements. Finally, a numerical example is presented to validate the effectiveness of the proposed method.展开更多
As the EU gears up to vote on proposed tariffs on Chinese electric vehicles(EVs),former European Central Bank chief Mario Draghi has a different perspective.Relying on China for green products might be the EU’s cheap...As the EU gears up to vote on proposed tariffs on Chinese electric vehicles(EVs),former European Central Bank chief Mario Draghi has a different perspective.Relying on China for green products might be the EU’s cheapest path to meet its climate ambitions,he told European Parliament members on September 17.Some EU members are rethinking their China strategy,seeking feasible solutions for their differences with China and more cooperation,as indicated by Spanish Prime Minister Pedro Sanchez during his visit to China.展开更多
In 2022,the world went through once-in-a-century changes compounded with the Russia-Ukraine conflict,which have accelerated the evolution of the global security landscape.Interactions between the increasing traditiona...In 2022,the world went through once-in-a-century changes compounded with the Russia-Ukraine conflict,which have accelerated the evolution of the global security landscape.Interactions between the increasing traditional and non-traditional security threats led to more regional turbulence.Escalated great power competition and bloc confrontation have let us feel the atmosphere of a“sub-cold war”.展开更多
Prof.Xiaoying Jiang Director of the Chinese Nursing Journals Publishing House As time passes,a new chapter emerges.Looking back at the year 2022,under the leadership and strong support of the China Association for Sci...Prof.Xiaoying Jiang Director of the Chinese Nursing Journals Publishing House As time passes,a new chapter emerges.Looking back at the year 2022,under the leadership and strong support of the China Association for Science and Technology(CAST)and the Chinese Nursing Association,the Chinese Nursing Journals Publishing House,with its original aspirations,has always insisted on serving the overall national construction and development of nursing disciplines.展开更多
基金supported by the National Natural Science Foundation of China (NSFC)(62222308, 62173181, 62073171, 62221004)the Natural Science Foundation of Jiangsu Province (BK20200744, BK20220139)+3 种基金Jiangsu Specially-Appointed Professor (RK043STP19001)the Young Elite Scientists Sponsorship Program by CAST (2021QNRC001)1311 Talent Plan of Nanjing University of Posts and Telecommunicationsthe Fundamental Research Funds for the Central Universities (30920032203)。
文摘This paper is concerned with distributed Nash equi librium seeking strategies under quantized communication. In the proposed seeking strategy, a projection operator is synthesized with a gradient search method to achieve the optimization o players' objective functions while restricting their actions within required non-empty, convex and compact domains. In addition, a leader-following consensus protocol, in which quantized informa tion flows are utilized, is employed for information sharing among players. More specifically, logarithmic quantizers and uniform quantizers are investigated under both undirected and connected communication graphs and strongly connected digraphs, respec tively. Through Lyapunov stability analysis, it is shown that play ers' actions can be steered to a neighborhood of the Nash equilib rium with logarithmic and uniform quantizers, and the quanti fied convergence error depends on the parameter of the quan tizer for both undirected and directed cases. A numerical exam ple is given to verify the theoretical results.
基金partially supported by the National Natural Science Foundation of China(62173308)the Natural Science Foundation of Zhejiang Province of China(LR20F030001)+3 种基金the Jinhua Science and Technology Project(2022-1-042)University of Macao(MYRG2022-00108-FST,MYRG-CRG202200010-ICMS)the Science and Technology Development Fund,Macao S.A.R(0036/2021/AGJ)Chinese Guangdong’s S&T project(2022A0505020028)。
文摘Dear Editor,The distributed generalized-Nash-equilibrium(GNE)seeking in noncooperative games with nonconvexity is the topic of this letter.Inspired by the sequential quadratic programming(SQP)method,a multi-timescale multi-agent system(MAS)is developed,and its convergence to a critical point of the game is proven.To illustrate the qualities and efficacy of the theoretical findings,a numerical example is elaborated.
基金supported in part by the Natural Science Foundation of Jiangsu Province of China(BK20231417,BK20210214)the National Natural Science Foundation of China(62273094,62203114)the“Zhishan”Scholars Programs of Southeast University.
文摘Dear Editor,This letter is concerned with prescribed-time Nash equilibrium(PTNE)seeking problem in a pursuit-evasion game(PEG)involving agents with second-order dynamics.In order to achieve the prior-given and user-defined convergence time for the PEG,a PTNE seeking algorithm has been developed to facilitate collaboration among multiple pursuers for capturing the evader without the need for any global information.Then,it is theoretically proved that the prescribedtime convergence of the designed algorithm for achieving Nash equilibrium of PEG.Eventually,the effectiveness of the PTNE method was validated by numerical simulation results.A PEG consists of two groups of agents:evaders and pursuers.The pursuers aim to capture the evaders through cooperative efforts,while the evaders strive to evade capture.PEG is a classic noncooperative game.It has attracted plenty of attention due to its wide application scenarios,such as smart grids[1],formation control[2],[3],and spacecraft rendezvous[4].It is noteworthy that most previous research on seeking the Nash equilibrium of the game,where no agent has an incentive to change its actions,has focused on asymptotic and exponential convergence[5]-[7].
基金supported by the National Natural Science Foundation of China(62373107,61921004,62303009)the Natural Science Foundation of Jiangsu Province of China(BK20202006)the“Zhishan”Scholars Programs of Southeast University。
文摘Dear Editor,This letter examines the fixed-time stability of the Nash equilibrium(NE)in non-cooperative games.We propose a consensus-based NE seeking algorithm for situations where players do not have perfect information and communicate via a topology graph.The proposed algorithm can achieve NE in a fixed time that does not depend on initial conditions and can be adjusted in advance.
基金supported by the National Natural Science Foundation of China (NSFC) (62073171)the Natural Science Foundation of Jiangsu Province (BK20200744)。
文摘Dear Editor, This letter is concerned with prescribed-time fully distributed Nash equilibrium seeking for networked games under directed graphs. An adaptive algorithm is proposed to ensure the convergence of all players to the Nash equilibrium without requiring any knowledge of global parameters. Moreover, it is theoretically proved that the convergence time of the proposed seeking strategy can be predefined based on practical requirements. Finally, a numerical example is presented to validate the effectiveness of the proposed method.
文摘As the EU gears up to vote on proposed tariffs on Chinese electric vehicles(EVs),former European Central Bank chief Mario Draghi has a different perspective.Relying on China for green products might be the EU’s cheapest path to meet its climate ambitions,he told European Parliament members on September 17.Some EU members are rethinking their China strategy,seeking feasible solutions for their differences with China and more cooperation,as indicated by Spanish Prime Minister Pedro Sanchez during his visit to China.
文摘In 2022,the world went through once-in-a-century changes compounded with the Russia-Ukraine conflict,which have accelerated the evolution of the global security landscape.Interactions between the increasing traditional and non-traditional security threats led to more regional turbulence.Escalated great power competition and bloc confrontation have let us feel the atmosphere of a“sub-cold war”.
文摘Prof.Xiaoying Jiang Director of the Chinese Nursing Journals Publishing House As time passes,a new chapter emerges.Looking back at the year 2022,under the leadership and strong support of the China Association for Science and Technology(CAST)and the Chinese Nursing Association,the Chinese Nursing Journals Publishing House,with its original aspirations,has always insisted on serving the overall national construction and development of nursing disciplines.
