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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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An improving energy efficiency cooperation algorithm based on Nash bargaining solution in selfish user cooperative networks
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作者 张闯 赵洪林 贾敏 《Journal of Southeast University(English Edition)》 EI CAS 2015年第2期181-187,共7页
A bandwidth-exchange cooperation algorithm based on the Nash bargaining solution (NBS) is proposed to encourage the selfish users to participate with more cooperation so as to improve the users' energy efficiency. ... A bandwidth-exchange cooperation algorithm based on the Nash bargaining solution (NBS) is proposed to encourage the selfish users to participate with more cooperation so as to improve the users' energy efficiency. As a result, two key problems, i.e. , when to cooperate and how to cooperate, are solved. For the first problem, a proposed cooperation condition that can decide when to cooperate and guarantee users' energy efficiency achieved through cooperation is not lower than that achieved without cooperation. For the second problem, the cooperation bandwidth allocations (CBAs) based on the NBS solve the problem how to cooperate when cooperation takes place. Simulation results show that, as the modulation order of quadrature amplitude modulation (QAM) increases, the cooperation between both users only occurs with a large signal-to-noise ratio (SNR). Meanwhile, the energy efficiency decreases as the modulation order increases. Despite all this, the proposed algorithm can obviously improve the energy efficiency measured in bits-per-Joule compared with non-cooperation. 展开更多
关键词 cooperation algorithm Nash bargaining solution(NBS) resource-exchange quadrature amplitude modulation(QAM)
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Optimal Time and Bandwidth Allocation Based on Nash Bargaining Solution for Cooperative Cognitive Systems 被引量:1
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作者 卢为党 贡毅 +2 位作者 汪晶 华惊宇 孟利民 《China Communications》 SCIE CSCD 2013年第12期149-157,共9页
In this paper,we propose a cooperative spectrum sharing strategy based on the Nash bargaining solution.Specifically,the primary system leases a fraction of its transmission time to the secondary system in exchange for... In this paper,we propose a cooperative spectrum sharing strategy based on the Nash bargaining solution.Specifically,the primary system leases a fraction of its transmission time to the secondary system in exchange for cooperation to improve its transmission performance.To gain access to the spectrum of the primary system,the secondary system needs to split a fraction of its transmission bandwidth to help to forward the primary signal.As a reward,the secondary system can use the remaining bandwidth to transmit its own signal.We find a unique solution for this time and bandwidth allocation using the Nash bargaining solution.Simulation results demonstrate that the performance of the primary and secondary systems can both be improved by the proposed spectrum sharing strategy. 展开更多
关键词 spectrum sharing cooperativerelaying Nash bargaining solution RESOURCEALLOCATION
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Multi-user Symmetric Cooperation Based on Nash Bargaining Solution in Cooperative Relay Networks 被引量:1
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作者 Kai Ma Xin-Ping Guan +1 位作者 Juan Wang Xiao-Min Wei 《International Journal of Automation and computing》 EI 2011年第4期452-458,共7页
This paper presents a symmetric cooperation strategy for cooperative relay networks with multiple users. The multi-user symmetric cooperation model and the relay selection algorithm are proposed. Then, the time slot a... This paper presents a symmetric cooperation strategy for cooperative relay networks with multiple users. The multi-user symmetric cooperation model and the relay selection algorithm are proposed. Then, the time slot allocation problem is cast into a bargaining problem, and the optimal time slot allocation solution is obtained by Nash bargaining solution (NBS). Moreover, we also consider the implementations of the cooperation strategy, i.e., the grouping and admission control algorithm. Simulation results show that users can obtain larger rates under the symmetric cooperation strategy than the non-cooperative case. 展开更多
关键词 Cooperative relay Nash bargaining solution (NBS) time slot allocation relay selection admission control.
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Nash Bargaining Solution-Based Multi-Objective Model Predictive Control for Constrained Interactive Robots
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作者 Minglei Zhu Jun Qi 《IEEE/CAA Journal of Automatica Sinica》 2025年第7期1516-1518,共3页
Dear Editor,This letter proposes a novel Nash bargaining solution-based multiobjective model predictive control(MPC)scheme to deal with the interaction force control and the path-following problem of the constrained i... Dear Editor,This letter proposes a novel Nash bargaining solution-based multiobjective model predictive control(MPC)scheme to deal with the interaction force control and the path-following problem of the constrained interactive robot.Considering the elastic interaction force model,a mechanical trade-off always exists between the interaction force and position,which means that neither force nor path following can satisfy their desired demands completely.Based on this consideration,two irreconcilable control specifications,the force object function and the position track object function,are proposed,and a new multi-objective MPC scheme is then designed. 展开更多
关键词 constrained interactive robots constrained interactive robotconsidering force path following interaction force modela interaction force control Nash bargaining solution path following problem multi objective model predictive control
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Nash bargaining solution based multi-cell and multi-user interference alignment scheme for cellular networks
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作者 NIU Qin ZENG Zhi-min +2 位作者 ZHANG Tian-kui GAO Qiu-bin SUN Shao-hui 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 2014年第4期1-7,14,共8页
In wireless cellular networks, the interference alignment (IA) is a promising technique for interference management. A new IA scheme for downlink cellular network with multi-cell and multi-user was proposed, in the ... In wireless cellular networks, the interference alignment (IA) is a promising technique for interference management. A new IA scheme for downlink cellular network with multi-cell and multi-user was proposed, in the proposed scheme, the interference in the networks is divided into inter-cell interference (ICI) among cells and inter-user interference (IUI) in each cell. The ICI is aligned onto a multi-dimensional subspace by multiplying the ICI alignment precoding matrix which is designed by the singular value decomposition (SVD) scheme at the base station (BS) side. The aligned ICI is eliminated by timing the interference suppression matrix which is designed by zero-forcing (ZF) scheme at the user equipment (UE) side. Meanwhile, the IUI is aligned by multiplying the IUI alignment precoding matrix which is designed based on Nash bargaining solution (NBS) in game theory. The NBS is solved by the particle swarm optimization (PSO) method. Simulations show that, compared with the traditional ZF IA scheme, the proposed scheme can obtain higher data rate and guarantee the data rate fairness of UEs with little additional complexity. 展开更多
关键词 cellular network interference alignment Nash bargaining solution data rate fairness particle swarm optimization
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Bargaining Game Theoretic Power Control in Selfish Cooperative Relay Networks 被引量:1
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作者 Guo-Peng Zhang Peng Liu En-Jie Ding 《International Journal of Automation and computing》 EI 2012年第2期221-224,共4页
Wireless cooperative communications require appropriate power allocation (PA) between the source and relay nodes. In selfish cooperative communication networks, two partner user nodes could help relaying information... Wireless cooperative communications require appropriate power allocation (PA) between the source and relay nodes. In selfish cooperative communication networks, two partner user nodes could help relaying information for each other, but each user node has the incentive to consume his power solely to decrease its own symbol error rate (SER) at the receiver. In this paper, we propose a fair and efficient PA scheme for the decode-and-forward cooperation protocol in selfish cooperative relay networks. We formulate this PA problem as a two-user cooperative bargaining game, and use Nash bargaining solution (NBS) to achieve a win-win strategy for both partner users. Simulation results indicate that the NBS is fair in that the degree of cooperation of a user only depends on how much contribution its partner can make to decrease its SER at the receiver, and efficient in the sense that the SER performance of both users could be improved through the game. 展开更多
关键词 Cooperative relaying DECODE-AND-FORWARD power allocation cooperative game theory Nash bargaining solution.
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Cooperative Spectrum Allocation with QoS Support in Cognitive Cooperative Vehicular Ad Hoc Networks 被引量:5
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作者 ZHANG Lei LUO Tao +2 位作者 LIU Wei ZHU Siting LI Jianfeng 《China Communications》 SCIE CSCD 2014年第10期49-59,共11页
To solve the contradiction between the increasing demand of diverse vehicular wireless applications and the shortage of spectrum resource, a novel cognitive cooperative vehicular ad-hoc network (CC- VANET) framework... To solve the contradiction between the increasing demand of diverse vehicular wireless applications and the shortage of spectrum resource, a novel cognitive cooperative vehicular ad-hoc network (CC- VANET) framework is proposed in this paper. Firstly, we develop an adaptive cognitive spectrum sensing (ACSS) mechanism which can help to trigger and adjust the spectrum sensing window according to network traffic load status and communication quality. And then, Generalized Nash Bargaining SoLution (GNBS), which can achieve a good tradeoff between efficiency and weighted fairness, is proposed to formulate the asymmetric inter- cell resource allocation. Finally, GNBS- Safety (GNBS-S) scheme is developed to enhance the Quality of Service (QoS) of safety applications, especially in the heavy load status, where the bandwidth demanded and supplied cannot be matched well. Furthermore, the primary user activity (PUA) which can cause rate loss to secondary users, is also considered to alleviate its influence to fairness. Simulation results indicate that the proposed CC-VANET scheme can greatly improve the spectrum efficiency and reduce the transmission delay and packet loss rate on the heavy contention status. And GNBS spectrum allocation scheme outperforms both the Max-rain and Max-rate schemes, and canenhance the communication reliability of safety service considerably in CC-VANET. 展开更多
关键词 VANET spectrum sensing resource allocation ASYMMETRIC generalizedhash bargaining solution
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Bandwidth Allocation with Minimum Rate Constraints in Cluster-based Femtocell Networks
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作者 Kai Ma Liang Li +3 位作者 Jie Yang Zhi-Xin Liu Xin-Bin Li Xin-Ping Guan 《International Journal of Automation and computing》 EI CSCD 2015年第1期77-82,共6页
Inter-femtocell interference becomes serious when femtocells are densely deployed. To mitigate the inter-femtocell interference, this paper proposes a cluster-based bandwidth allocation algorithm. We create femtocell ... Inter-femtocell interference becomes serious when femtocells are densely deployed. To mitigate the inter-femtocell interference, this paper proposes a cluster-based bandwidth allocation algorithm. We create femtocell clusters by constructing a weighted interference graph and allocate bandwidth to each cluster based on a Nash bargaining solution(NBS). Simulation results show that the cluster-based bandwidth allocation algorithm can reduce the inter-femtocell interference and meet the minimum rate constraint of each cluster. 展开更多
关键词 FEMTOCELL CLUSTER inter-femtocell interference bandwidth allocation Nash bargaining solution(NBS)
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Game Theoretic Subcarrier and Power Allocation for Wireless OFDMA Networks
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作者 Zhang, Guo-Peng Zhong, Ya-Li Ding, En-Jie 《International Journal of Automation and computing》 EI 2012年第4期414-419,共6页
This paper proposes a bargaining game theoretic resource(including the subcarrier and the power) allocation scheme for wireless orthogonal frequency division multiple access(OFDMA) networks.We define a wireless user s... This paper proposes a bargaining game theoretic resource(including the subcarrier and the power) allocation scheme for wireless orthogonal frequency division multiple access(OFDMA) networks.We define a wireless user s payoff as a function of the achieved data-rate.The fairness resource allocation problem can then be modeled as a cooperative bargaining game.The objective of the game is to maximize the aggregate payoffs for the users.To search for the Nash bargaining solution(NBS) of the game,a suboptimal subcarrier allocation is performed by assuming an equal power allocation.Thereafter,an optimal power allocation is performed to maximize the sum payoff for the users.By comparing with the max-rate and the max-min algorithms,simulation results show that the proposed game could achieve a good tradeoff between the user fairness and the overall system performance. 展开更多
关键词 Orthogonal frequency division multiple access(OFDMA) resource allocation cooperative bargaining game theory Nash bargaining solution quality of service(QoS).
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Coalition-based downlink resource allocation for LTE system with divide-and-conquer approach
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作者 GAO Xiang LI Xi +1 位作者 JI Hong LI Yi 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 2012年第6期1-5,共5页
To take advantage of the multiuser diversity resulted from the variation in channel conditions among the users, it has become an interesting and challenging problem to efficiently allocate the resources such as subcar... To take advantage of the multiuser diversity resulted from the variation in channel conditions among the users, it has become an interesting and challenging problem to efficiently allocate the resources such as subcarriers, bits, and power. Most of current research concentrates on solving the resource-allocation problem for all users together in a centralized way, which brings about high computational complexity and makes it impractical for real system. Therefore, a coalitional game framework for downlink multi-user resource allocation in long term evolution (LTE) system is proposed, based on the divide-and-conquer idea. The goal is to maximize the overall system data rate under the constraints of each user's minimal rate requirement and maximal transmit power of base station while considering the fairness among users. In this framework, a coalitional formation algorithm is proposed to achieve optimal coalition formation and a two-user bargaining algorithm is designed to bargain channel assignment between two users. The total computational complexity is greatly reduced in comparison with conventional methods. The simulation results show that the proposed algorithms acquire a good tradeoff between the overall system throughout and fairness, compared to maximal rate and max-min schemes. 展开更多
关键词 LTE resource allocation DIVIDE-AND-CONQUER coalitional game bargaining solution
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