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
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
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
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
According to the utility function and spectrum demand of the cognitive users,a novel mechanism based on Nash bargaining for primary system game was proposed under the wireless environment of Rayleigh fading.On the bas...According to the utility function and spectrum demand of the cognitive users,a novel mechanism based on Nash bargaining for primary system game was proposed under the wireless environment of Rayleigh fading.On the basis of this mechanism,we proposed a new distributed bargaining algorithm based on Nash product;then the spectrum prices and system utilities were obtained.Theoretical analysis results showed that with a close total utility to the optimal,the Nash bargaining mechanism cannot only improve the fairness between primary systems remarkably,but also reach to the stable equilibrium in finitely repeated games.Finally,simulation results were given to demonstrate the correctness of these conclusions and the efficiency of the algorithm.展开更多
This paper investigates the ordering policies of two competitive retailers,and the coordination status of a two-echelon supply chain by considering the fairness concerns of channel members.We consider that two retaile...This paper investigates the ordering policies of two competitive retailers,and the coordination status of a two-echelon supply chain by considering the fairness concerns of channel members.We consider that two retailers compete with each other over price,where overstock and shortage are allowed.We assume that the demand is stochastic and considered with additive form.First,based on the Nash bargaining fairness reference point,we obtain the optimal decisions of the fairness-concerned channel members in both the centralized and the decentralized cases using a two-stage game theory.Secondly,we analyze the coordination status of the supply chain with Nash bargaining fairness concerns using ideas of optimization.Finally,numerical experiments are used to illustrate the influence of some parameters,the fairness-concerned behavioral preference of the channel members on the optimal decisions and the coordination status of supply chain.Some managerial insights are obtained.展开更多
This paper presents a comparison mechanism for a simple procurement auction and generalized Nash bargaining solution in a procurement circumstance. The buyer who hopes to fulfill a project has two options. First, she ...This paper presents a comparison mechanism for a simple procurement auction and generalized Nash bargaining solution in a procurement circumstance. The buyer who hopes to fulfill a project has two options. First, she may award the project to the old provider with an efficient quality by bargaining Second, she may give the project to the firm who submits the lowest bid through a simple procurement second-price sealed-bid auction with a pre-fixed quality. We compare the expected revenue in the auction with the deterministic profit of the bargaining. In different parameters cases, we find the borderline functions between the two options with respect to the buyer＇s bargaining power and the amount of bidders. We also compare our simple procurement auction （SPA） with the optimal multidimensional bid auction by Che （1993）, and find our model protects the buyer＇s private valuation information by forfeiting some profits. Some properties of the difference between the two auctions are proposed, especially there is no revenue difference when the amount of bidders approaches infinity.展开更多
To further improve the utilization level of distributed photovoltaics(PV)and realize low-carbon travel,a novel optimization cooperative model that considers multi-stakeholders including integrated prosumers(IP),power ...To further improve the utilization level of distributed photovoltaics(PV)and realize low-carbon travel,a novel optimization cooperative model that considers multi-stakeholders including integrated prosumers(IP),power to hydrogen(P2H),and grid company(GC)is proposed,based on the Nash bargaining theory.Electricity trading among the three and hydrogen trading between IP and P2H is considered in the model to maximize their own interests.Specifically,IP focus on distributed PV integration and low carbon travels,P2H strives to improve cost competitiveness of hydrogen,and electricity-hydrogen trading prices and quantities are optimized between them.Also,GC obtains profits by charging grid fees considering power flow constraints.The cooperation game model is transformed into a mixed-integer linear programming problem through linearization methods.Case studies show that electricity-hydrogen trading among the three has apparent advantages over pure electricity coupling or non-cooperation.With future reduction of investment prices of PV and P2H and maturity of the carbon trading market,the profit margin of this cooperation model can be further enhanced.展开更多
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
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
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
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
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
Purpose–The purpose of this paper is to find a solution for the unmanned aerial vehicle(UAV)rendezvous problem,which should be feasible,optimal and not time consuming.In the existing literatures,the UAV rendezvous pr...Purpose–The purpose of this paper is to find a solution for the unmanned aerial vehicle(UAV)rendezvous problem,which should be feasible,optimal and not time consuming.In the existing literatures,the UAV rendezvous problem is always presented as a matter of simultaneous arrival.They focus only on the time consistency.However,the arrival time of UAVs can vary according to the rendezvous position.The authors should determine the best rendezvous position with considering UAVs’maneuver constraint,so that UAVs can construct a formation in a short time.Design/methodology/approach–The authors present a decentralized method in which UAVs negotiate with each other for the best rendezvous positions by using Nash bargain.The authors analyzed the constraints of the rendezvous time and the UAV maneuver,and proposed an objective function that allows UAVs to get to their rendezvous positions as fast as possible.Bezier curve is adopted to generate smooth and feasible flight trajectories.During the rendezvous process,UAVs adjust their speed so that they can arrive at the rendezvous positions simultaneously.Findings–The effectiveness of the proposed method is verified by simulation experiments.The proposed method can successfully and efficiently solve the UAV rendezvous problem.Originality/value–As far as the authors know,it is the first time Nash bargain is used in the UAV rendezvous problem.The authors modified the Nash bargain method and make it distributed,so that it can be computed easily.The proposed method is much less consuming than ordinary Nash bargain method and ordinary swarm intelligence based methods.It also considers the UAV maneuver constraint,and can be applied online for its fast calculation speed.Simulations demonstrate the effectiveness of the proposed method.展开更多
This paper presents a holistic pricing and distributed scheduling framework for multi-microgrid system(MMGS)that considers the supply‒demand relationships of the coupled electricity‒carbon market to promote collaborat...This paper presents a holistic pricing and distributed scheduling framework for multi-microgrid system(MMGS)that considers the supply‒demand relationships of the coupled electricity‒carbon market to promote collaborative market trading within the MMGS for economic and environmental benefit improvement.Initially,an operation model of each microgrid is developed by synthetically considering electricity-carbon operational constraints related to generation units and energy storage units.Then,a collaborative optimization strategy of the MMGS is established according to the Nash bargaining game(NBG)model with the objective of maximizing overall operational revenue.To determine the trading schedule,an accelerated prediction-correction-based alternating direction method of multipliers(PCB-ADMM)algorithm is employed to derive the optimal scheduling strategy of MMGS in a distributed manner,ensuring the privacy preservation of individual microgrids.For electricity-carbon pricing,a supply-demand ratio(SDR)based pricing strategy is proposed to dynamically update electricity and carbon allowance prices,which fundamentally guides and incentivizes each microgrid to trade within the MMGS preferentially rather than with an upstream distribution network.Finally,a study case verifies the effectiveness of the proposed framework in enhancing the operation economy and environmental friendliness of the entire MMGS.展开更多
Decarbonizing the electricity sector is crucial to achieving the carbon neutrality goal.Integrating renewable energy and retrofitting conventional thermal units with carbon capture devices are the most effective ways ...Decarbonizing the electricity sector is crucial to achieving the carbon neutrality goal.Integrating renewable energy and retrofitting conventional thermal units with carbon capture devices are the most effective ways to reduce carbon emissions from electricity generation.However,the uncertainty in renewable generation calls for additional energy storage units,which are still relatively expensive.The operation of carbon capture facilities also consumes extra energy,incurring additional costs.In a nutshell,energy security and environmental sustainability cannot be improved without compromising the economy,which is commonly referred to as the energy trilemma.In this paper,the conflict among security,sustainability,and economy is reconciled via engineering game theory.By formulating a triobjective optimization problem,the tradeoff space is analytically expressed through polyhedral projection,and the Nash bargaining game is used to determine a unique outcome that achieves a fair tradeoff without using manually supplied parameters.Taking a renewable-dominated system as an example,in which renewable energy accounts for approximately two-thirds of the demand energy,it is shown that at equilibrium,63.7%of thermal units are retrofitted into carbon-capture units,and the power capacity of battery storage is approximately 4.3%of renewable generation capacity.展开更多
Rural electrification is a crucial component of the power system that requires urgent innovation and transformation to enhance electrification levels.However,various challenges hinder the progress in rural electrifica...Rural electrification is a crucial component of the power system that requires urgent innovation and transformation to enhance electrification levels.However,various challenges hinder the progress in rural electrification,primarily due to remote locations and unique consumption patterns.To effectively coordinate the local energy distribution,an energy management framework utilizing peer-to-peer(P2P)based interactive operations is proposed,which minimizes the reliance on long-distance transmission while enhancing the rural electrification level.The proposed P2P-based energy management framework incorporates various distributed generation resources across rural areas,facilitating direct energy transactions between neighboring community-based villages.Additionally,the P2P energy trading is modeled as a Nash bargaining(NB)problem,which accounts for the allocation of network loss costs and operational state of the rural distribution network.To protect the privacy of individual villages,an improved adaptive alternating direction method of multipliers(AADMM)is proposed to solve the NB problem.The AADMM utilizes a local curvature approximation scheme during parameter updates,allowing for automatic adjustments of the fixed penalty parameter within the standard alternating direction method of multipliers(ADMM).This enhancement improves the convergence rates without requiring central oversight.Simulation results demonstrate significant reductions in operational costs for both the overall network and individual village participants.The proposed P2P-based energy management framework also enhances the bus voltage stability and reduces the line transmission power,thereby further enhancing rural electrification levels.The adaptability and extensibility of this framework are further validated using the IEEE 33-bus and 118-bus distribution systems.Additionally,the AADMM shows higher convergence rates compared with the standard ADMM.展开更多
Peer-to-peer(P2P)transactive energy trading offers a promising solution for facilitating the efficient and secure operation of a distribution system consisting of multiple prosumers.One critical but challenging task i...Peer-to-peer(P2P)transactive energy trading offers a promising solution for facilitating the efficient and secure operation of a distribution system consisting of multiple prosumers.One critical but challenging task is how to avoid system network constraints to be violated for the distribution system integrated with extensive P2P transactive energy trades.This paper proposes a security constrained decentralized P2P transactive energy trading framework,which allows direct energy trades among neighboring prosumers in the distribution system with enhanced system efficiency and security in which no conventional intermediary is required.The P2P transactive energy trading problem is formulated based on the Nash Bargaining theory and decomposed into two subproblems,i.e.,an OPF problem(P1)and a payment bargaining problem(P2).A distributed optimization method based on the alternating direction method of multiplier(ADMM)is adopted as a privacy-preserving solution to the formulated security constrained P2P transactive energy trading model with ensured accuracy.Extensive case studies based on a modified 33-bus distribution system are presented to validate the effectiveness of the proposed security constrained decentralized P2P transactive energy trading framework in terms of efficiency improvement,loss reduction,and voltage security enhancement.展开更多
Increasing electric vehicle(EV) penetration in distribution networks necessitate EV charging coordination. This paper proposes a two-stage EV charging coordination mechanism that frees the distribution system operator...Increasing electric vehicle(EV) penetration in distribution networks necessitate EV charging coordination. This paper proposes a two-stage EV charging coordination mechanism that frees the distribution system operator(DSO) from extra burdens of EV charging coordination. The first stage ensures that the total charging demand meets facility constraints,and the second stage ensures fair charging welfare allocation while maximizing the total charging welfare via Nash-bargaining trading. A decentralized algorithm based on the alternating direction method of multipliers(ADMM) is proposed to protect individual privacy. The proposed mechanism is implemented on the blockchain to enable trustworthy EV charging coordination in case a third-party coordinator is absent. Simulation results demonstrate the effectiveness and efficiency of the proposed approach.展开更多
As renewable energy continues to be integrated into the grid,energy storage has become a vital technique supporting power system development.To effectively promote the efficiency and economics of energy storage,centra...As renewable energy continues to be integrated into the grid,energy storage has become a vital technique supporting power system development.To effectively promote the efficiency and economics of energy storage,centralized shared energy storage(SES)station with multiple energy storage batteries is developed to enable energy trading among a group of entities.In this paper,we propose the optimal operation with dynamic partitioning strategy for the centralized SES station,considering the day-ahead demands of large-scale renewable energy power plants.We implement a multi-entity cooperative optimization operation model based on Nash bargaining theory.This model is decomposed into two subproblems:the operation profit maximization problem with energy trading and the leasing payment bargaining problem.The distributed alternating direction multiplier method(ADMM)is employed to address the subproblems separately.Simulations reveal that the optimal operation with a dynamic partitioning strategy improves the tracking of planned output of renewable energy entities,enhances the actual utilization rate of energy storage,and increases the profits of each participating entity.The results confirm the practicality and effectiveness of the strategy.展开更多
基金supported by the National Natural Science Foundation of China(62303095)the Natural Science Foundation of Sichuan Province(2023NSFSC0872).
文摘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.
基金The National Natural Science Foundation of China(No.61201143)Innovation Foundations of CAST(ITS)(No.F-WYY-2013-016)the Fundamental Research Funds for the Central Universities(No.HIT.IBRSEM.201309)
文摘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.
基金supported by the National Natural Science Foundation of China under Grants No.61372087,No.61303235the Zhejiang Leading Team of Science and Technology Innovation on Modem Communication and Network System under Grant No.2010R50011the Project of the Zhejiang Provincial Science and Technology Department under Grant No.Y201329389
文摘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.
基金supported by National Basic Research Program of China (973 Program) (No. 2010CB731800)Key Project of National Natural Science Foundation of China (No. 60934003)Scientific and Technological Supporting Project of Hebei Province(No. 072435155D)
文摘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.
基金Sponsored by the National High Technology Research and Development Program of China(863Program)(Grant No.2008AA12Z305)
文摘According to the utility function and spectrum demand of the cognitive users,a novel mechanism based on Nash bargaining for primary system game was proposed under the wireless environment of Rayleigh fading.On the basis of this mechanism,we proposed a new distributed bargaining algorithm based on Nash product;then the spectrum prices and system utilities were obtained.Theoretical analysis results showed that with a close total utility to the optimal,the Nash bargaining mechanism cannot only improve the fairness between primary systems remarkably,but also reach to the stable equilibrium in finitely repeated games.Finally,simulation results were given to demonstrate the correctness of these conclusions and the efficiency of the algorithm.
文摘This paper investigates the ordering policies of two competitive retailers,and the coordination status of a two-echelon supply chain by considering the fairness concerns of channel members.We consider that two retailers compete with each other over price,where overstock and shortage are allowed.We assume that the demand is stochastic and considered with additive form.First,based on the Nash bargaining fairness reference point,we obtain the optimal decisions of the fairness-concerned channel members in both the centralized and the decentralized cases using a two-stage game theory.Secondly,we analyze the coordination status of the supply chain with Nash bargaining fairness concerns using ideas of optimization.Finally,numerical experiments are used to illustrate the influence of some parameters,the fairness-concerned behavioral preference of the channel members on the optimal decisions and the coordination status of supply chain.Some managerial insights are obtained.
基金supported by National Natural Science Foundation of China under Grant No. 70701040
文摘This paper presents a comparison mechanism for a simple procurement auction and generalized Nash bargaining solution in a procurement circumstance. The buyer who hopes to fulfill a project has two options. First, she may award the project to the old provider with an efficient quality by bargaining Second, she may give the project to the firm who submits the lowest bid through a simple procurement second-price sealed-bid auction with a pre-fixed quality. We compare the expected revenue in the auction with the deterministic profit of the bargaining. In different parameters cases, we find the borderline functions between the two options with respect to the buyer＇s bargaining power and the amount of bidders. We also compare our simple procurement auction （SPA） with the optimal multidimensional bid auction by Che （1993）, and find our model protects the buyer＇s private valuation information by forfeiting some profits. Some properties of the difference between the two auctions are proposed, especially there is no revenue difference when the amount of bidders approaches infinity.
基金supported by the Science and Technology Project of State Grid Corporation of China(5400-201999493A-0-0-00).
文摘To further improve the utilization level of distributed photovoltaics(PV)and realize low-carbon travel,a novel optimization cooperative model that considers multi-stakeholders including integrated prosumers(IP),power to hydrogen(P2H),and grid company(GC)is proposed,based on the Nash bargaining theory.Electricity trading among the three and hydrogen trading between IP and P2H is considered in the model to maximize their own interests.Specifically,IP focus on distributed PV integration and low carbon travels,P2H strives to improve cost competitiveness of hydrogen,and electricity-hydrogen trading prices and quantities are optimized between them.Also,GC obtains profits by charging grid fees considering power flow constraints.The cooperation game model is transformed into a mixed-integer linear programming problem through linearization methods.Case studies show that electricity-hydrogen trading among the three has apparent advantages over pure electricity coupling or non-cooperation.With future reduction of investment prices of PV and P2H and maturity of the carbon trading market,the profit margin of this cooperation model can be further enhanced.
基金supported by the National Key Technology R&D Program of China (2012ZX03001031-004)State Key Laboratory of Wireless Mobile Communications (China Academy of Telecommunication Technology)
文摘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.
基金supported by National Natural Science Foundation of China (No. 60972059)Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)+3 种基金Fundamental Research Funds for the Central Universities of China (Nos. 2010QNA27 and 2011QNB26)China Postdoctoral Science Foundation (No. 20100481185)the Ph. D. Programs Foundation of Ministry of Education of China (Nos. 20090095120013 and 20110095120006)Talent Introduction Program, and Young Teacher Sailing Program of China University of Mining and Technology
文摘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.
基金funded by StateGrid Beijing Electric PowerCompany Technology Project,grant number 520210230004.
文摘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%.
基金supported by National Basic Research Program of China(No.2010CB731800)National Natural Science Foundation of China(Nos.61203104,61221003,61174127,61104033 and 61172095)+2 种基金Natural Science Foundation of Hebei Province(Nos.F2012203126 and F2012203109)Research Foundation for the Doctoral Program of Higher Education(Nos.20121333120012,20110073130005,and20110073120025)Program for Doctor Foundation of Yanshan University(No.B632)
文摘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.
基金supported by National Natural Science Foundation of China (No.60972059)Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions+3 种基金Fundamental Research Funds for the Central Universities of China (No.2010QNA27)China Postdoctoral Science Foundation(No.20100481185)Postdoctoral Research Funds of Jiangsu Province(No.1101108C)Postdoctoral Fellowship Program of the China Scholarship Council
文摘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.
文摘Purpose–The purpose of this paper is to find a solution for the unmanned aerial vehicle(UAV)rendezvous problem,which should be feasible,optimal and not time consuming.In the existing literatures,the UAV rendezvous problem is always presented as a matter of simultaneous arrival.They focus only on the time consistency.However,the arrival time of UAVs can vary according to the rendezvous position.The authors should determine the best rendezvous position with considering UAVs’maneuver constraint,so that UAVs can construct a formation in a short time.Design/methodology/approach–The authors present a decentralized method in which UAVs negotiate with each other for the best rendezvous positions by using Nash bargain.The authors analyzed the constraints of the rendezvous time and the UAV maneuver,and proposed an objective function that allows UAVs to get to their rendezvous positions as fast as possible.Bezier curve is adopted to generate smooth and feasible flight trajectories.During the rendezvous process,UAVs adjust their speed so that they can arrive at the rendezvous positions simultaneously.Findings–The effectiveness of the proposed method is verified by simulation experiments.The proposed method can successfully and efficiently solve the UAV rendezvous problem.Originality/value–As far as the authors know,it is the first time Nash bargain is used in the UAV rendezvous problem.The authors modified the Nash bargain method and make it distributed,so that it can be computed easily.The proposed method is much less consuming than ordinary Nash bargain method and ordinary swarm intelligence based methods.It also considers the UAV maneuver constraint,and can be applied online for its fast calculation speed.Simulations demonstrate the effectiveness of the proposed method.
基金supported in part by the National Natural Science Foundation of China(No.52377075)Fundamental Research Funds for the Central Universities(No.2024CDJXY006).
文摘This paper presents a holistic pricing and distributed scheduling framework for multi-microgrid system(MMGS)that considers the supply‒demand relationships of the coupled electricity‒carbon market to promote collaborative market trading within the MMGS for economic and environmental benefit improvement.Initially,an operation model of each microgrid is developed by synthetically considering electricity-carbon operational constraints related to generation units and energy storage units.Then,a collaborative optimization strategy of the MMGS is established according to the Nash bargaining game(NBG)model with the objective of maximizing overall operational revenue.To determine the trading schedule,an accelerated prediction-correction-based alternating direction method of multipliers(PCB-ADMM)algorithm is employed to derive the optimal scheduling strategy of MMGS in a distributed manner,ensuring the privacy preservation of individual microgrids.For electricity-carbon pricing,a supply-demand ratio(SDR)based pricing strategy is proposed to dynamically update electricity and carbon allowance prices,which fundamentally guides and incentivizes each microgrid to trade within the MMGS preferentially rather than with an upstream distribution network.Finally,a study case verifies the effectiveness of the proposed framework in enhancing the operation economy and environmental friendliness of the entire MMGS.
基金supported by the National Natural Science Foundation of China(U21A20146).
文摘Decarbonizing the electricity sector is crucial to achieving the carbon neutrality goal.Integrating renewable energy and retrofitting conventional thermal units with carbon capture devices are the most effective ways to reduce carbon emissions from electricity generation.However,the uncertainty in renewable generation calls for additional energy storage units,which are still relatively expensive.The operation of carbon capture facilities also consumes extra energy,incurring additional costs.In a nutshell,energy security and environmental sustainability cannot be improved without compromising the economy,which is commonly referred to as the energy trilemma.In this paper,the conflict among security,sustainability,and economy is reconciled via engineering game theory.By formulating a triobjective optimization problem,the tradeoff space is analytically expressed through polyhedral projection,and the Nash bargaining game is used to determine a unique outcome that achieves a fair tradeoff without using manually supplied parameters.Taking a renewable-dominated system as an example,in which renewable energy accounts for approximately two-thirds of the demand energy,it is shown that at equilibrium,63.7%of thermal units are retrofitted into carbon-capture units,and the power capacity of battery storage is approximately 4.3%of renewable generation capacity.
基金supported by National Natural Science Foundation of China(No.52207128).
文摘Rural electrification is a crucial component of the power system that requires urgent innovation and transformation to enhance electrification levels.However,various challenges hinder the progress in rural electrification,primarily due to remote locations and unique consumption patterns.To effectively coordinate the local energy distribution,an energy management framework utilizing peer-to-peer(P2P)based interactive operations is proposed,which minimizes the reliance on long-distance transmission while enhancing the rural electrification level.The proposed P2P-based energy management framework incorporates various distributed generation resources across rural areas,facilitating direct energy transactions between neighboring community-based villages.Additionally,the P2P energy trading is modeled as a Nash bargaining(NB)problem,which accounts for the allocation of network loss costs and operational state of the rural distribution network.To protect the privacy of individual villages,an improved adaptive alternating direction method of multipliers(AADMM)is proposed to solve the NB problem.The AADMM utilizes a local curvature approximation scheme during parameter updates,allowing for automatic adjustments of the fixed penalty parameter within the standard alternating direction method of multipliers(ADMM).This enhancement improves the convergence rates without requiring central oversight.Simulation results demonstrate significant reductions in operational costs for both the overall network and individual village participants.The proposed P2P-based energy management framework also enhances the bus voltage stability and reduces the line transmission power,thereby further enhancing rural electrification levels.The adaptability and extensibility of this framework are further validated using the IEEE 33-bus and 118-bus distribution systems.Additionally,the AADMM shows higher convergence rates compared with the standard ADMM.
基金This work was supported in part by Shanghai Science and Technology Plan:Research and application for key technologies of public building virtual power plant based on distributed resource aggregation control,China(No.20dz1206200).
文摘Peer-to-peer(P2P)transactive energy trading offers a promising solution for facilitating the efficient and secure operation of a distribution system consisting of multiple prosumers.One critical but challenging task is how to avoid system network constraints to be violated for the distribution system integrated with extensive P2P transactive energy trades.This paper proposes a security constrained decentralized P2P transactive energy trading framework,which allows direct energy trades among neighboring prosumers in the distribution system with enhanced system efficiency and security in which no conventional intermediary is required.The P2P transactive energy trading problem is formulated based on the Nash Bargaining theory and decomposed into two subproblems,i.e.,an OPF problem(P1)and a payment bargaining problem(P2).A distributed optimization method based on the alternating direction method of multiplier(ADMM)is adopted as a privacy-preserving solution to the formulated security constrained P2P transactive energy trading model with ensured accuracy.Extensive case studies based on a modified 33-bus distribution system are presented to validate the effectiveness of the proposed security constrained decentralized P2P transactive energy trading framework in terms of efficiency improvement,loss reduction,and voltage security enhancement.
基金supported by National Natural Science Foundation of China(No. U1866206)。
文摘Increasing electric vehicle(EV) penetration in distribution networks necessitate EV charging coordination. This paper proposes a two-stage EV charging coordination mechanism that frees the distribution system operator(DSO) from extra burdens of EV charging coordination. The first stage ensures that the total charging demand meets facility constraints,and the second stage ensures fair charging welfare allocation while maximizing the total charging welfare via Nash-bargaining trading. A decentralized algorithm based on the alternating direction method of multipliers(ADMM) is proposed to protect individual privacy. The proposed mechanism is implemented on the blockchain to enable trustworthy EV charging coordination in case a third-party coordinator is absent. Simulation results demonstrate the effectiveness and efficiency of the proposed approach.
基金supported by the National Natural Science Foundation of China“Game control-based planning and simulation modelling of coupled optical storage hydrogen production system”(No.52277211).
文摘As renewable energy continues to be integrated into the grid,energy storage has become a vital technique supporting power system development.To effectively promote the efficiency and economics of energy storage,centralized shared energy storage(SES)station with multiple energy storage batteries is developed to enable energy trading among a group of entities.In this paper,we propose the optimal operation with dynamic partitioning strategy for the centralized SES station,considering the day-ahead demands of large-scale renewable energy power plants.We implement a multi-entity cooperative optimization operation model based on Nash bargaining theory.This model is decomposed into two subproblems:the operation profit maximization problem with energy trading and the leasing payment bargaining problem.The distributed alternating direction multiplier method(ADMM)is employed to address the subproblems separately.Simulations reveal that the optimal operation with a dynamic partitioning strategy improves the tracking of planned output of renewable energy entities,enhances the actual utilization rate of energy storage,and increases the profits of each participating entity.The results confirm the practicality and effectiveness of the strategy.
