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On the Coalitional Rationality and the Inverse Problem for Shapley Value and the Semivalues 被引量:1
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作者 Irinel Dragan 《Applied Mathematics》 2017年第11期1590-1601,共12页
In cooperative game theory, a central problem is to allocate fairly the win of the grand coalition to the players who agreed to cooperate and form the grand coalition. Such allocations are obtained by means of values,... In cooperative game theory, a central problem is to allocate fairly the win of the grand coalition to the players who agreed to cooperate and form the grand coalition. Such allocations are obtained by means of values, having some fairness properties, expressed in most cases by groups of axioms. In an earlier work, we solved what we called the Inverse Problem for Semivalues, in which the main result was offering an explicit formula providing the set of all games with an a priori given Semivalue, associated with a given weight vector. However, in this set there is an infinite set of games for which the Semivalues are not coalitional rational, perhaps not efficient, so that these are not fair practical solutions of the above fundamental problem. Among the Semivalues, coalitional rational solutions for the Shapley Value and the Banzhaf Value have been given in two more recent works. In the present paper, based upon a general potential basis, relative to Semivalues, for a given game and a given Semivalue, we solve the connected problem: in the Inverse Set, find out a game with the same Semivalue, which is also coalitional rational. Several examples will illustrate the corresponding numerical technique. 展开更多
关键词 Shapley VALUE Banzhaf VALUE Semivalues INVERSE Problem POWER Game POWER Core coalitional RATIONALITY
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Solving the Urban Domestic Waste Classification Dilemma from a Coalitional Game Perspective 被引量:1
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作者 Yuhan Li Xuanqi Liu Xiujuan Wang 《Journal of Environmental Protection》 CAS 2023年第4期243-253,共11页
The effective classification of urban domestic waste is the key to achieve a “waste-free city” and provides an essential guarantee for resource utilization. This article takes a coalitional game perspective to study... The effective classification of urban domestic waste is the key to achieve a “waste-free city” and provides an essential guarantee for resource utilization. This article takes a coalitional game perspective to study the dilemmas in urban domestic waste separation from the cooperative interaction of residents, government, and enterprises. The study finds that urban domestic waste classification in China is currently facing many problems, focusing on: 1) insufficient consensus among residents, 2) shortage of input funds, 3) corporate profitability difficulties, 4) weak policy constraints, and 5) difficulties in integrating goals. In this regard, each participating body still needs to focus on collective interests, coalitional games, break the dilemma society, and promote the long-term management of urban domestic waste. 展开更多
关键词 Waste Classification coalitional Game Multiple Subjects
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Coalitional Game Based Joint Beamforming and Power Control for Physical Layer Security Enhancement in Cognitive IoT Networks
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作者 Zhaoye Xu Aiyan Qu Kang An 《China Communications》 SCIE CSCD 2021年第12期139-150,共12页
In this paper,the physical layer se-cure transmission in multi-antenna multi-user cogni-tive internet-of-thing(IoT)network is investigated,where the coalitional game based joint beamform-ing and power control scheme i... In this paper,the physical layer se-cure transmission in multi-antenna multi-user cogni-tive internet-of-thing(IoT)network is investigated,where the coalitional game based joint beamform-ing and power control scheme is proposed to im-prove the achievable security of cognitive IoT de-vices.Specifically,the secondary network consisting of a muti-antenna secondary transmitter,multiple sec-ondary users(SUs),is allowed to access the licensed spectrum resource of primary user(PU)with underlay approach in the presence of an unauthorized eaves-dropper.Based on the Merge-Split-Rule,coalitional game is formulated among distributed secondary users with cooperative receive beamforming.Then,an alter-native optimization method is used to obtain the op-timized beamforming and power allocation schemes by applying the up-downlink duality.The simulation results demonstrate the effectiveness of our proposed scheme in improving the SU’s secrecy rate and system utility while guaranteeing PU’s interference thresh-old. 展开更多
关键词 physical layer secure transmission IOT coalitional game alternative optimization method
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Coalitional game based resource allocation in D2D-enabled V2V communication
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作者 MA Piming ZHAO Peng +3 位作者 BAI Zhiquan DONG Xu YANG Xinghai KWAK Kyungsup 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第6期1508-1519,共12页
The joint resource block(RB)allocation and power optimization problem is studied to maximize the sum-rate of the vehicle-to-vehicle(V2V)links in the device-to-device(D2D)-enabled V2V communication system,where one fea... The joint resource block(RB)allocation and power optimization problem is studied to maximize the sum-rate of the vehicle-to-vehicle(V2V)links in the device-to-device(D2D)-enabled V2V communication system,where one feasible cellular user(FCU)can share its RB with multiple V2V pairs.The problem is first formulated as a nonconvex mixed-integer nonlinear programming(MINLP)problem with constraint of the maximum interference power in the FCU links.Using the game theory,two coalition formation algorithms are proposed to accomplish V2V link partitioning and FCU selection,where the transferable utility functions are introduced to minimize the interference among the V2V links and the FCU links for the optimal RB allocation.The successive convex approximation(SCA)is used to transform the original problem into a convex one and the Lagrangian dual method is further applied to obtain the optimal transmit power of the V2V links.Finally,numerical results demonstrate the efficiency of the proposed resource allocation algorithm in terms of the system sum-rate. 展开更多
关键词 coalitional game vehicle-to-vehicle(V2V)communication successive convex approximation(SCA) resource block(RB)allocation power allocation.
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On the Coalitional Rationality and the Egalitarian Nonseparable Contribution
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作者 Irinel Dragan 《Applied Mathematics》 2019年第5期363-370,共8页
In earlier works we introduced the Inverse Problem, relative to the Shapley Value, then relative to Semivalues. In the explicit representation of the Inverse Set, the solution set of the Inverse Problem, we built a fa... In earlier works we introduced the Inverse Problem, relative to the Shapley Value, then relative to Semivalues. In the explicit representation of the Inverse Set, the solution set of the Inverse Problem, we built a family of games, called the almost null family, in which we determined more recently a game where the Shapley Value and the Egalitarian Allocations are colalitional rational. The Egalitarian Nonseparable Contribution is another value for cooperative transferable utilities games (TU games), showing how to allocate fairly the win of the grand coalition, in case that this has been formed. In the present paper, we solve the similar problem for this new value: given a nonnegative vector representing the Egalitarian Nonseparable Contribution of a TU game, find out a game in which the Egalitarian Nonseparable Contribution is kept the same, but it is colalitional rational. The new game will belong to the family of almost null games in the Inverse Set, relative to the Shapley Value, and it is proved that the threshold of coalitional rationality will be higher than the one for the Shapley Value. The needed previous results are shown in the introduction, the second section is devoted to the main results, while in the last section are discussed remarks and connected problems. Some numerical examples are illustrating the procedure of finding the new game. 展开更多
关键词 Shapley Value Egalitarian NONSEPARABLE CONTRIBUTION Inverse Set Family of ALMOST NULL GAMES coalitional RATIONALITY
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On the Coalitional Rationality of the Banzhaf Value and Other Non-Efficient Semivalues
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作者 Irinel Dragan 《Applied Mathematics》 2015年第12期2069-2076,共8页
In the Inverse Set relative to a Semivalue, we are looking for a new game for which the Semivalue of the original game is coalitional rational. The problem is solved by means of the Power Game of the given game. The p... In the Inverse Set relative to a Semivalue, we are looking for a new game for which the Semivalue of the original game is coalitional rational. The problem is solved by means of the Power Game of the given game. The procedures of building the new game, as well as the case of the Banzhaf Value are illustrated by means of some examples. 展开更多
关键词 Semivalues POWER GAME POWER CORE coalitional RATIONALITY
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On the Coalitional Rationality of the Shapley Value and Other Efficient Values of Cooperative TU Games
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作者 Irinel Dragan 《American Journal of Operations Research》 2014年第4期228-234,共7页
In the theory of cooperative transferable utilities games, (TU games), the Efficient Values, that is those which show how the win of the grand coalition is shared by the players, may not be a good solution to give a f... In the theory of cooperative transferable utilities games, (TU games), the Efficient Values, that is those which show how the win of the grand coalition is shared by the players, may not be a good solution to give a fair outcome to each player. In an earlier work of the author, the Inverse Problem has been stated and explicitely solved for the Shapley Value and for the Least Square Values. In the present paper, for a given vector, which is the Shapley Value of a game, but it is not coalitional rational, that is it does not belong to the Core of the game, we would like to find out a new game with the Shapley Value equal to the a priori given vector and for which this vector is also in the Core of the game. In other words, in the Inverse Set relative to the Shapley Value, we want to find out a new game, for which the Shapley Value is coalitional rational. The results show how such a game may be obtained, and some examples are illustrating the technique. Moreover, it is shown that beside the original game, there are always other games for which the given vector is not in the Core. The similar problem is solved for the Least Square Values. 展开更多
关键词 Efficiency Shapley Value coalitional RATIONALITY Least SQUARE VALUES INVERSE Problem INVERSE Set
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Using Computational Intelligence Algorithms to Solve the Coalition Structure Generation Problem in Coalitional Skill Games 被引量:3
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作者 Yang Liu Guo-Fu Zhang +2 位作者 Zhao-Pin Su Feng Yue Jian-Guo Jiang 《Journal of Computer Science & Technology》 SCIE EI CSCD 2016年第6期1136-1150,共15页
Coalitional skill games (CSGs) are a simple model of cooperation in an uncertain environment where each agent has a set of skills that are required to accomplish a variety of tasks and each task requires a set of sk... Coalitional skill games (CSGs) are a simple model of cooperation in an uncertain environment where each agent has a set of skills that are required to accomplish a variety of tasks and each task requires a set of skills to be completed, but each skill is very hard to be quantified and can only be qualitatively expressed. Thus far, many computational questions surrounding CSGs have been studied. However, to the best of our knowledge, the coalition structure generation problem (CSGP), as a central issue of CSGs, is extremely challenging and has not been well solved. To this end, two different computational intelligence algorithms are herein evaluated: binary particle swarm optimization (BPSO) and binary differential evolution (BDE). In particular, we develop the two stochastic search algorithms with two-dimensional binary encoding and corresponding heuristic for individual repairs. After that, we discuss some fundamental properties of the proposed heuristic. Finally, we compare the improved BPSO and BDE with the state-of-the-art algorithms for solving CSGP in CSGs. The experimental results show that our algorithms can find the same near optimal solutions with the existing approaches but take extremely short time, especially under the large problem size. 展开更多
关键词 coalitional skill game coalitional structure generation two-dimensional binary encoding HEURISTIC individual repair
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Coalitional game-based WiFi offloading algorithm in heterogeneous networks 被引量:1
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作者 Sun Lin Zhu Qi 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 2019年第4期25-35,共11页
Aiming at the coexistence of cellular network and wireless fidelity(WiFi)network,a coalitional game-based WiFi offloading algorithm in heterogeneous networks is proposed.Firstly,this paper defines the user fairness ut... Aiming at the coexistence of cellular network and wireless fidelity(WiFi)network,a coalitional game-based WiFi offloading algorithm in heterogeneous networks is proposed.Firstly,this paper defines the user fairness utility function that comprehensively considers the user communication rate,cost and delay.Then,the coalitional game model including two types of coalitions is constructed.To control the transfer of users among coalitions,a coalition transfer criterion that simultaneously improves the user's individual utility and the total system utility is proposed.In addition,this paper presents a channel allocation scheme that ensures full utilization of system resources to maximize the total utility of the system.The simulation results show that the proposed offloading algorithm can reasonably utilize the resources of cellular network and WiFi network,and improve the utility of users and system. 展开更多
关键词 WiFi offloading FAIRNESS coalitional game resource allocation
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THE GENERALIZED SYMMETRIC COALITIONAL BANZHAF VALUE FOR MULTICHOICE GAMES WITH A COALITION STRUCTURE 被引量:1
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作者 MENG Fanyong TAN Chunqiao ZHANG Qiang 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2014年第5期1064-1078,共15页
With respect to multichoice games with a coalition structure,a coalitional value named the generalized symmetric coalitional Banzhaf value is defined,which is an extension of the Shapley value for multichoice games an... With respect to multichoice games with a coalition structure,a coalitional value named the generalized symmetric coalitional Banzhaf value is defined,which is an extension of the Shapley value for multichoice games and the symmetric coalitional Banzhaf value for traditional games with a coalition structure.Two axiomatic systems are established:One is enlightened by the characterizations for the symmetric coalitional Banzhaf value,and the other is inspired by the characterizations for the Banzhaf value. 展开更多
关键词 Coalition structure generalized symmetric coalitional Banzhaf value multichoice game
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Coalitional Equilibria in Coalitional Abstract Economies with Nonordered Preferences
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作者 YANG Zhe GONG Qingbin 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2020年第1期137-145,共9页
This paper investigates the existence of coalitional equilibria for coalitional abstract economies with nonordered preferences.Accordingly,the authors give a fuzzy extension of the coalitional equilibrium existence th... This paper investigates the existence of coalitional equilibria for coalitional abstract economies with nonordered preferences.Accordingly,the authors give a fuzzy extension of the coalitional equilibrium existence theorem.The main result is illustrated with applications to coalitional abstract economies with payoff functions,strong Nash equilibria and absolute optimal solutions. 展开更多
关键词 Absolute optimal solution coalitional ABSTRACT economy coalitional EQUILIBRIA equilibrium EXISTENCE strong NASH EQUILIBRIA
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Cooperative Game Theory-Based Optimal Scheduling Strategy for Microgrid Alliances
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作者 Zhiyuan Zhang Meng Shuai +5 位作者 Bin Wang Ying He Fan Yang Liyan Ren Yuyuan Zhang Ziren Wang 《Energy Engineering》 2025年第10期4169-4194,共26页
With the rapid development of renewable energy,the Microgrid Coalition(MGC)has become an important approach to improving energy utilization efficiency and economic performance.To address the operational optimization p... With the rapid development of renewable energy,the Microgrid Coalition(MGC)has become an important approach to improving energy utilization efficiency and economic performance.To address the operational optimization problem inmulti-microgrid cooperation,a cooperative game strategy based on the Nash bargainingmodel is proposed,aiming to enable collaboration among microgrids to maximize overall benefits while considering energy trading and cost optimization.First,each microgrid is regarded as a game participant,and a multi-microgrid cooperative game model based on Nash bargaining theory is constructed,targeting the minimization of total operational cost under constraints such as power balance and energy storage limits.Second,the Nash bargaining solution is introduced as the benefit allocation scheme to ensure individual rationality and coalition stability.Finally,theAlternating Direction Method of Multipliers(ADMM)is employed to decompose the centralized optimization problem into distributed subproblems for iterative solution,thereby reducing communication burden and protecting privacy.Case studies reveal that the operational costs of the threemicrogrids are reduced by 26.28%,19.00%,and 17.19%,respectively,and the overall renewable energy consumption rate is improved by approximately 66.11%. 展开更多
关键词 Microgrid coalition cooperative game Nash bargaining ADMM algorithm
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Edge Coalition Construction Based on a Novel Market Equilibrium Price
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作者 Wang Xiaolong Dang Jianwu +3 位作者 Zhao Shuxu Wang Yangping Zhang Zhanping Hao Zhanjun 《China Communications》 2025年第3期288-305,共18页
The emergence of multi-access edge computing(MEC)aims at extending cloud computing capabilities to the edge of the radio access network.As the large-scale internet of things(IoT)services are rapidly growing,a single e... The emergence of multi-access edge computing(MEC)aims at extending cloud computing capabilities to the edge of the radio access network.As the large-scale internet of things(IoT)services are rapidly growing,a single edge infrastructure provider(EIP)may not be sufficient to handle the data traffic generated by these services.Most of the existing work addressed the computing resource shortage problem by optimizing tasks schedule,whereas others overcome such issue by placing computing resources on demand.However,when considering a multiple EIPs scenario,an urgent challenge is how to generate a coalition structure to maximize each EIP’s gain with a suitable price for computing resource block corresponding to a container.To this end,we design a scheme of EIPs collaboration with a market price for containers under a scenario that considers a collection of service providers(SPs)with different budgets and several EIPs distributed in geographical locations.First,we bring in the net profit market price model to generate a more reasonable equilibrium price and select the optimal EIPs for each SP by a convex program.Then we use a mathematical model to maximize EIP’s profits and form stable coalitions between EIPs by a distributed coalition formation algorithm.Numerical results demonstrate that our proposed collaborative scheme among EIPs enhances EIPs’gain and increases users’surplus. 展开更多
关键词 coalition formation computing resource block market equilibrium multi-access edge computing SURPLUS
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Throw Out the Rascals Not the System: What Can We Learn for Democratic Survival From the Great Depression?
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作者 Ekkart Zimmermann 《International Relations and Diplomacy》 2025年第4期202-208,共7页
The analysis refers to the interwar years in Europe.We distinguish four types of coalitions here:(a)Coalitions with other democratic parties,led by a predominant party and most common in multi-party democratic states.... The analysis refers to the interwar years in Europe.We distinguish four types of coalitions here:(a)Coalitions with other democratic parties,led by a predominant party and most common in multi-party democratic states.(b)Bringing in ideological opponents on the parts of overarching highly credible national figures such as King George V did in Britain in 1931 in calling upon the charismatic Labour Party leader MacDonald to form a coalition with the still dominant but ailing Conservative Party.(c)The outbidding of more radical political parties by former center parties towards the right or left.One such outcome comes about when this is having a temporary effect only,until the next election is won within the family of democratic parties.Yet,when outbidding is trump the electorate easily might go for the hardest outbidding contender not to be taken over by even greater extremist parties.This process for the analysis of political terrorism and its intention to instigate fear amongst the“neutral”population explains to a large extent why considerable portions of the population are going to side with the most extreme challengers.This is for two reasons,one is pure fear to be out-mastered,the other one is rational choice just to avoid this.(d)The other outcome as to outbidding occurs when the democratic national consensus formation that is still underlying all these processes in normal times is wiped out in times of crises.Democratic national consensus is being lost vis-à-vis a new anti-democratic national consensus formation.Several other theoretical arguments and historical experiences are touched upon. 展开更多
关键词 outbidding democratic national consensus formation power transition center parties transient democrat POPULISM types of coalition siding with most extreme challenges
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通威正式加入全球三大新能源权威组织,中国样本获世界瞩目!
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《变频器世界》 2025年第6期63-64,共2页
6月11日,在2025SNEC展会期间,通威正式宣布加入全球太阳能理事会(Global Solar Council,GSC)、国际可再生能源机构行动联盟(IRENA Coalition for Action)及太阳能管理倡议(Solar Stewardship Initiative,SSI)。这是通威首次同时亮相全... 6月11日,在2025SNEC展会期间,通威正式宣布加入全球太阳能理事会(Global Solar Council,GSC)、国际可再生能源机构行动联盟(IRENA Coalition for Action)及太阳能管理倡议(Solar Stewardship Initiative,SSI)。这是通威首次同时亮相全球三大新能源权威组织,再次彰显通威在全球能源转型和可持续发展领域的战略雄心与积极实践。 展开更多
关键词 全球太阳能理事会 IRENA Coalition 通威
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美国大学招生的考量因素及动向——美国加州伯克利认证升学咨询师张郑倩访谈 被引量:1
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作者 万圆 《教育测量与评价》 2016年第8期43-48,64,共7页
美国在大学招生考试制度方面有着综合性、自主性和灵活多样等特点。本文对美国加州伯克利认证升学咨询师张郑倩的访谈围绕美国大学招生展开,问题主要集中于独立咨询师的工作内容,美国大学招生中对高中成绩、标准化考试成绩、推荐信、面... 美国在大学招生考试制度方面有着综合性、自主性和灵活多样等特点。本文对美国加州伯克利认证升学咨询师张郑倩的访谈围绕美国大学招生展开,问题主要集中于独立咨询师的工作内容,美国大学招生中对高中成绩、标准化考试成绩、推荐信、面试、写作、种族等因素的考量,以及对美国大学申请新系统Coalition Application的解读等方面。这些内容对我国高考招生制度改革有着很大的借鉴意义。 展开更多
关键词 大学招生 考量因素 Coalition APPLICATION
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On the Gas Routing via Game Theory
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作者 Irinel Dragan 《American Journal of Operations Research》 2015年第4期288-292,共5页
The delivery of the natural gas obtained by drilling, fracking and sending the product to consumers is done usually in two phases: in the first phase, the gas is collected from all wells spread on a large area, and be... The delivery of the natural gas obtained by drilling, fracking and sending the product to consumers is done usually in two phases: in the first phase, the gas is collected from all wells spread on a large area, and belonging to several companies, and is sent to a depot owned by the city;then, in the second phase, another company is taking the gas on a network of ducts belonging to the city, along the streets to the neighborhoods and the individual consumers. The first phase is managed by the gas producing companies on the ducts owned by each company, possibly also on some public ducts. In this paper, we discuss only this first phase, to show why the benefits of these companies depend on the cooperation of the producers, and further, how a fair allocation of the total gas obtained, to the drilling companies, is computed. Following the model of flow games, we generate a cooperative transferable utilities game, as shown in the first section, and in this game any efficient value gives an allocation of benefits to the owners of ducts in the total network. However, it may well happen that the chosen value is not coalitional rational, in the game, that is, it does not belong to the Core of the game. By using the results obtained in an earlier work of the author, sketched in the second section, we show in the last section how the same allocation may be associated to a new game, which has the corresponding value a coalitional rational value. An example of a three person flow game shows the game generation, as well as the procedure to be used for obtaining the new game in which the same value, a Shapley Value, will give a coalitional rational allocation. 展开更多
关键词 COOPERATIVE TU GAME Core Shapley VALUE The INVERSE Problem coalitional RATIONALITY
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Egalitarian Allocations and the Inverse Problem for the Shapley Value
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作者 Irinel Dragan 《American Journal of Operations Research》 2018年第6期448-456,共9页
In a cooperative transferable utilities game, the allocation of the win of the grand coalition is an Egalitarian Allocation, if this win is divided into equal parts among all players. The Inverse Set relative to the S... In a cooperative transferable utilities game, the allocation of the win of the grand coalition is an Egalitarian Allocation, if this win is divided into equal parts among all players. The Inverse Set relative to the Shapley Value of a game is a set of games in which the Shapley Value is the same as the initial one. In the Inverse Set, we determined a family of games for which the Shapley Value is also a coalitional rational value. The Egalitarian Allocation of the game is efficient, so that in the set called the Inverse Set relative to the Shapley Value, the allocation is the same as the initial one, but may not be coalitional rational. In this paper, we shall find out in the same family of the Inverse Set, a subfamily of games with the Egalitarian Allocation is also a coalitional rational value. We show some relationship between the two sets of games, where our values are coalitional rational. Finally, we shall discuss the possibility that our procedure may be used for solving a very similar problem for other efficient values. Numerical examples show the procedure to get solutions for the efficient values. 展开更多
关键词 Cooperative GAMES Shapley Value Egalitarian ALLOCATION coalitional RATIONALITY INVERSE Problem
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MAV/UAV task coalition phased-formation method 被引量:11
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作者 JIAO Zhiqiang YAO Peiyang +2 位作者 ZHANG Jieyong ZHONG Yun WANG Xun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2019年第2期402-414,共13页
The formation of the manned aerial vehicle/unmanned aerial vehicle(MAV/UAV) task coalition is considered. To reduce the scale of the problem, the formation progress is divided into three phases. For the task clusterin... The formation of the manned aerial vehicle/unmanned aerial vehicle(MAV/UAV) task coalition is considered. To reduce the scale of the problem, the formation progress is divided into three phases. For the task clustering phase, the geographical position of tasks is taken into consideration and a cluster method is proposed. For the UAV allocation phase, the UAV requirement for both constrained and unconstrained resources is introduced, and a multi-objective optimal algorithm is proposed to solve the allocation problem. For the MAV allocation phase, the optimal model is firstly constructed and it is decomposed according to the ideal of greed to reduce the time complexity of the algorithm. Based on the above phases, the MAV/UAV task coalition formation method is proposed and the effectiveness and practicability are demonstrated by simulation examples. 展开更多
关键词 TASK coalition formation TASK clustering unmanned AERIAL VEHICLE (UAV) ALLOCATION manned AERIAL VEHICLE (MAV) ALLOCATION
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Cooperative coalition for formation flight scheduling based on incomplete information 被引量:9
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作者 Meng Linghang Xu Xiaohao Zhao Yifei 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2015年第6期1747-1757,共11页
This study analyzes the cooperative coalition problem for formation scheduling based on incomplete information. A multi-agent cooperative coalition framework is developed to optimize the formation scheduling problem i... This study analyzes the cooperative coalition problem for formation scheduling based on incomplete information. A multi-agent cooperative coalition framework is developed to optimize the formation scheduling problem in a decentralized manner. The social class differentiation mech- anism and role-assuming mechanism are incorporated into the framework, which, in turn, ensures that the multi-agent system (MAS) evolves in the optimal direction. Moreover, a further differen- tiation pressure can be achieved to help MAS escape from local optima. A Bayesian coalition nego- tiation algorithm is constructed, within which the Harsanyi transformation is introduced to transform the coalition problem based on incomplete information to the Bayesian-equivalent coali- tion problem based on imperfect information. The simulation results suggest that the distribution of agents' expectations of other agents' unknown information approximates to the true distribution after a finite set of generations. The comparisons indicate that the MAS cooperative coalition algo- rithm produces a significantly better utility and possesses a more effective capability of escaping from local optima than the proposal-engaged marriage algorithm and the Simulated Annealing algorithm. 展开更多
关键词 Coalition Commercial aviation Formation flight Harsanyi transformation Incomplete information Multi agent systems (MAS) SCHEDULING
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