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AUCTIONING METHOD FOR AIRSPACE CONGESTING RESOURCE ALLOCATION AND GAME EQUILIBRIUM ANALYSIS 被引量:4
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作者 刘方勤 胡明华 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2011年第3期282-293,共12页
The airspace congestion is becoming more and more severe.Although there are traffic flow management(TFM)initiatives based on CDM widely applied,how to reschedule these disrupted flights of different airlines integra... The airspace congestion is becoming more and more severe.Although there are traffic flow management(TFM)initiatives based on CDM widely applied,how to reschedule these disrupted flights of different airlines integrating TFM initiatives and allocate the limited airspace resources to these airlines equitably and efficiently is still a problem.The air traffic management(ATM)authority aims to minimizing the systemic costs of congested airspaces.And the airlines are self-interested and profit-oriented.Being incorporated into the collaborative decision making(CDM)process,the airlines can influence the rescheduling decisions to profit themselves.The airlines maybe hide the flight information that is disadvantageous to them,but is necessary to the optimal system decision.To realize the coincidence goal between the ATM authority and airlines for the efficient,and equitable allocation of airspace resources,this paper provides an auction-based market method to solve the congestion airspace problem under the pre-tactic and tactic stage of air traffic flow management.Through a simulation experiment,the rationing results show that the auction method can decrease the total delay costs of flights in the congested airspace compared with both the first schedule first service(FSFS)tactic and the ration by schedule(RBS)tactic.Finally,the analysis results indicate that if reallocate the charges from the auction to the airlines according to the proportion of their disrupted flights,the auction mechanism can allocate the airspace resource in economy equitably and decrease the delay losses of the airlines compared with the results of the FSFS tactic. 展开更多
关键词 air traffic control resource allocation sealed-price auction airspace flow constrained area(FCA) game equilibrium analysis
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U-Auction:面向真实利用率的频谱拍卖机制 被引量:3
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作者 张林 叶保留 +1 位作者 王钦辉 陆桑璐 《计算机科学与探索》 CSCD 2013年第12期1073-1082,共10页
在频谱拍卖机制设计中,最关键的挑战是在满足主用户的利益及次用户的频谱需求的同时提高频谱利用率。然而,如果某些次用户通过抬高出价以获得多于他真实需求的频谱资源,采用现有频谱拍卖机制可能会导致较低的真实频谱利用率。通过引入... 在频谱拍卖机制设计中,最关键的挑战是在满足主用户的利益及次用户的频谱需求的同时提高频谱利用率。然而,如果某些次用户通过抬高出价以获得多于他真实需求的频谱资源,采用现有频谱拍卖机制可能会导致较低的真实频谱利用率。通过引入真实频谱利用率,提出了一个新的频谱拍卖机制来解决这类问题。该拍卖机制为拍卖者提供了一个在真实频谱利用率及社会福利/收入间取得权衡的机制,设计了多项式时间复杂度的针对单信道及多信道的诚信拍卖算法。实验表明,该拍卖机制可以极大地提高真实频谱利用率。 展开更多
关键词 认知无线网络 频谱拍卖 动态频谱接入 真实利用率
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基于CPN模型Auction智能合约的形式化验证 被引量:6
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作者 董春燕 谭良 《小型微型计算机系统》 CSCD 北大核心 2020年第11期2292-2297,共6页
区块链智能合约是运行在区块链网络中的代码,它能够根据外部环境条件自动执行相应的规则,完成对应的交易和数字资产的转移.Auction合约是一个公开拍卖的智能合约,广泛应用到竞拍、游戏和博彩等行业,吸引了众多用户参与.近年来,该合约暴... 区块链智能合约是运行在区块链网络中的代码,它能够根据外部环境条件自动执行相应的规则,完成对应的交易和数字资产的转移.Auction合约是一个公开拍卖的智能合约,广泛应用到竞拍、游戏和博彩等行业,吸引了众多用户参与.近年来,该合约暴露出了拒绝服务攻击漏洞,导致很多参与者无法竞拍成功.为此,本文基于CPN模型对Auction合约进行形式化验证,检测漏洞并确定漏洞位置.首先使用CPN中的建模工具分别对Auction合约整体、无攻击操作和有攻击操作进行建模,然后使用CPN中的仿真工具对合约的执行过程进行仿真.结果表明,通过该方法,不仅可以发现和定位Auction合约的逻辑漏洞,而且也可以发现Auction合约语言的局限性. 展开更多
关键词 auction智能合约 漏洞 形式化验证 CPN
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最短路问题的Auction算法在无圈网络中的改进 被引量:1
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作者 张青华 杨骅飞 《上海理工大学学报》 CAS 北大核心 2003年第3期251-254,共4页
提出了Auction算法在无圈网络中的一种改进。在改进的新算法中,采取了新的推进(extension)方式,从而成功地降低了算法的复杂性。改进后算法的复杂性为O(m),此处m是图的弧数。
关键词 最短路 auction算法 对偶算法
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最短路径Auction算法及其在路径诱导中的应用 被引量:1
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作者 杜牧青 程琳 《武汉理工大学学报(交通科学与工程版)》 2012年第6期1161-1165,共5页
通过采用C#语言程序,对比传统路径算法,并在实际道路网络和随机网络中进行了试验,测试了算法在求解网络"一对一"最短路径问题时的运算性能.结果表明,Auction算法在求解此类问题时,体现算法自身原理的优势,虽然整体性能表现不... 通过采用C#语言程序,对比传统路径算法,并在实际道路网络和随机网络中进行了试验,测试了算法在求解网络"一对一"最短路径问题时的运算性能.结果表明,Auction算法在求解此类问题时,体现算法自身原理的优势,虽然整体性能表现不及经典的路径算法,即迭代步骤略多,但仍有改进的余地. 展开更多
关键词 道路网络 路径诱导 最短路径 标号算法 auction算法
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Commission Strategy of the Auction House 被引量:5
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作者 WANG Yan~ 1,2 1. College of Economics, Fudan University, Shanghai 200433, China 2. School of Mathematics and Statistics, Wuhan University , Wuhan 430072, Hubei, China 《Wuhan University Journal of Natural Sciences》 EI CAS 2006年第3期507-510,共4页
In a SIPV model, when the commission proportion is not certain, but related with bargain price, generally, it is a linear function of the bargain price, this paper gives bidders' equilibrium bidding strategies in the... In a SIPV model, when the commission proportion is not certain, but related with bargain price, generally, it is a linear function of the bargain price, this paper gives bidders' equilibrium bidding strategies in the first-and secondprice auctions. We find that the equilibrium strategies in second-price auction are dominant strategies. For seller or auction house, whether the fixed proportion or the unfixed proportion is good is not only related with constant item and the linear coefficient of the linear function, the size of the fixed commission proportion, but also related with the value of the item auctioned. So, in the practical auctions, the seller and the auction house negotiated with each other to decide the commission rules for their own advantage. 展开更多
关键词 auction commission proportion Bayesian equilibrium bidding strategy
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Multi-band spectrum auction framework based on location information in cognitive radio networks 被引量:2
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作者 Yongli An Yang Xiao Guangzhi Qu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第5期671-678,共8页
Cognitive radio(CR) technology is considered to be an effective solution to allocate spectrum resources,whereas the primary users of a network do not fully utilize available frequency bands.Spectrum auction framewor... Cognitive radio(CR) technology is considered to be an effective solution to allocate spectrum resources,whereas the primary users of a network do not fully utilize available frequency bands.Spectrum auction framework has been recognized as an effective way to achieve dynamic spectrum access.From the perspective of spectrum auction,multi-band multi-user auction provides a new challenge for spectrum management.This paper proposes an auction framework based on location information for multi-band multi-user spectrum allocation.The performance of the proposed framework is compared with that of traditional auction framework based on a binary interference model as a benchmark.Simulation results show that primary users will obtain more total system revenue by selling their idle frequency bands to secondary users and the spectrum utilization of the proposed framework is more effective and fairer. 展开更多
关键词 cognitive radio spectrum auction spectrum sharing MULTI-BAND MULTI-USER
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Secure Power and Subcarrier Auction in Uplink FullDuplex Cellular Networks 被引量:1
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作者 LI Mingliang GUO Yunfei +1 位作者 HUANG Kaizhi GUO Fei 《China Communications》 SCIE CSCD 2015年第S1期157-165,共9页
We consider a cellular network with a full-duplex base station, multiple uplink users and an eavesdropper. The full-duplex base station transmits jamming signals to degrade the eavesdropper channel when receiving secu... We consider a cellular network with a full-duplex base station, multiple uplink users and an eavesdropper. The full-duplex base station transmits jamming signals to degrade the eavesdropper channel when receiving secure multi-user signals. To maximize the secrecy rate of uplink communications, we propose a distributed ascending-clock auction(ACA) algorithm to allocate subcarriers and jamming power. Specifically, the impact of the self-interference of the full-duplex base station on the secrecy rate is considered. The proposed algorithm consists of two parts. Firstly, subcarriers and the jamming power are respectively priced by the base station. Secondly, users select the subcarrier and the jamming power based on the price. Moreover, the convergence of the proposed auction algorithm is mathematically proved. Simulation results show that the proposed auction algorithm is more beneficial to improve the uplink secrecy performance compared to traditional auction algorithms. 展开更多
关键词 UPLINK auction PHYSICAL layer security full-duplex SELF-INTERFERENCE
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Genetic Algorithm Based Combinatorial Auction Method for Multi-Robot Task Allocation 被引量:1
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作者 龚建伟 黄宛宁 +1 位作者 熊光明 满益明 《Journal of Beijing Institute of Technology》 EI CAS 2007年第2期151-156,共6页
An improved genetic algorithm is proposed to solve the problem of bad real-time performance or inability to get a global optimal/better solution when applying single-item auction (SIA) method or combinatorial auctio... An improved genetic algorithm is proposed to solve the problem of bad real-time performance or inability to get a global optimal/better solution when applying single-item auction (SIA) method or combinatorial auction method to multi-robot task allocation. The genetic algorithm based combinatorial auction (GACA) method which combines the basic-genetic algorithm with a new concept of ringed chromosome is used to solve the winner determination problem (WDP) of combinatorial auction. The simulation experiments are conducted in OpenSim, a multi-robot simulator. The results show that GACA can get a satisfying solution in a reasonable shot time, and compared with SIA or parthenogenesis algorithm combinatorial auction (PGACA) method, it is the simplest and has higher search efficiency, also, GACA can get a global better/optimal solution and satisfy the high real-time requirement of multi-robot task allocation. 展开更多
关键词 MULTI-ROBOT task allocation combinatorial auctions genetic algorithm
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Joint wireless and cloud resource allocation based on parallel auction for mobile edge computing 被引量:2
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作者 Lan Zhuorui Xia Weiwei +2 位作者 Wu Siyun Yan Feng Shen Lianfeng 《Journal of Southeast University(English Edition)》 EI CAS 2019年第2期153-159,共7页
A joint resource allocation algorithm based on parallel auction(JRAPA)is proposed for mobile edge computing(MEC).In JRAPA,the joint allocation of wireless and cloud resources is modeled as an auction process,aiming at... A joint resource allocation algorithm based on parallel auction(JRAPA)is proposed for mobile edge computing(MEC).In JRAPA,the joint allocation of wireless and cloud resources is modeled as an auction process,aiming at maximizing the utilities of service providers(SPs)and satisfying the delay requirements of mobile terminals(MTs).The auction process consists of the bidding submission,winner determination and pricing stages.At the bidding submission stage,the MTs take available resources from SPs and distance factors into account to decide the bidding priority,thereby reducing the processing delay and improving the successful trades rate.A resource constrained utility ranking(RCUR)algorithm is put forward at the winner determination stage to determine the winners and losers so as to maximize the utilities of SPs.At the pricing stage,the sealed second-price rule is adopted to ensure the independence between the price paid by the buyer and its own bid.The simulation results show that the proposed JRAPA algorithm outperforms other existing algorithms in terms of the convergence rate and the number of successful trades rate.Moreover,it can not only achieve a larger average utility of SPs but also significantly reduce the average delay of MTs. 展开更多
关键词 parallel auction mobile edge computing joint resource allocation fast matching
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A secure spectrum auction scheme without the trusted party based on the smart contract 被引量:2
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作者 Jiaqi Wang Ning Lu +2 位作者 Qingfeng Cheng Lu Zhou Wenbo Shi 《Digital Communications and Networks》 SCIE CSCD 2021年第2期223-234,共12页
With the development of communication 5G networks and technologies,spectrum resources are increasingly scarce.The scarcity of the spectrum resource makes market-driven spectrum auction become an important means of spe... With the development of communication 5G networks and technologies,spectrum resources are increasingly scarce.The scarcity of the spectrum resource makes market-driven spectrum auction become an important means of spectrum allocation,and due to the complexity of the network environment,the security of spectrum auctions can not be ignored.Most existing secure spectrum auction schemes introduce a semi-honest agent to complete spectrum auction.However,the hypothetical semi-honest model does not guarantee the security of spectnim auction in the actual application scenario,which may lead to potential security threats:the agent may reveal the privacy of bidders,agent or auctioneer may collude with the bidder to manipulate the spectrum auction,and so on.In this paper,a secure spectrum auction scheme without a trusted party is proposed based on the smart contract technology,and the smart contract written into the blockchain replaces the traditional semi-honest agent to cooperate with the auctioneer server to complete the auction.In order to ensure the security of our scheme,a secure spectrum auction protocol is designed,in which the Software Guard Extensions(SGX)technology and Paillier cryptosystem are used to protect the privacy of bidders.Public verification is provided in our protocol by using extensive Pedersen commitment,which prevents the auctioneer server and the bidder from colluding with each other and verifies group bid sum values.Finally,the security analysis is given to propose several types of attacks that can be defended.Besides,theoretical analysis and simulation experiments of our protocol are also provided. 展开更多
关键词 5g Secure spectrum auction Bidders'bids'privacy Smart contract Public verification
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UNIFORM-PRICE AUCTION FOR BANDWIDTH ALLOCATION IN THE INTERNET 被引量:1
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作者 Wei Jiaolong Zhang Chi (Dept. of Electron, and Information, lluazhong Univ. of Science and Technology, Wuhan 430074) 《Journal of Electronics(China)》 2002年第4期408-414,共7页
It has been widely accepted that auctioning which is the pricing approach with minimal information requirement is a proper tool to manage scare network resources. Previous works focus on Vickrey auction which is incen... It has been widely accepted that auctioning which is the pricing approach with minimal information requirement is a proper tool to manage scare network resources. Previous works focus on Vickrey auction which is incentive compatible in classic auction theory. In the beginning of this letter, the faults of the most representative auction-based mechanisms are discussed. And then a new method called Uniform-Price Auction (UPA), which has the simplest auction rule is proposed and its incentive compatibility in the network environment is also proved. Finally, the basic mode is extended to support applications which require minimum bandwidth guarantees for a given time period by introducing derivative market, and a market mechanism for network resource allocation which is predictable, riskless, and simple for end-users is completed. 展开更多
关键词 Network resource allocation Usage-based pricing Incentive compatibility Vick-rey auction Smart market model Progressive second price auction Uniform-price auction Derivative mechanism
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Quantum Secure Direct Communication and Quantum Sealed-Bid Auction with EPR Pairs 被引量:4
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作者 王章银 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第12期997-1002,共6页
I present a new protocol for three-party quantum secure direct communication (QSDC) with a set of ordered M Einstein-Podolsky-Rosen (EPR) pairs. In the scheme, by performing two unitary operations and Bell state m... I present a new protocol for three-party quantum secure direct communication (QSDC) with a set of ordered M Einstein-Podolsky-Rosen (EPR) pairs. In the scheme, by performing two unitary operations and Bell state measurements, it is shown that the three legitimate parties can exchange their respective secret message simultaneously. Then I modify it for an experimentally feasible and secure quantum sealed-bid auction (QSBD) protocol. Furthermore, I also analyze th^ecurity of the protocol, and the scheme is proven to be secure against the intercept-and-resend attack, the disturbancb attack and the entangled-and-measure attack. 展开更多
关键词 Einstein-Podolsky-Rosen (EPR) pairs quantum secure direct communication quantum sealedbid auction Bell state measurement unitary operation
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Auction mechanism design of the Chinese national carbon market for carbon neutralization 被引量:1
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作者 Wenjun Wang Xujie Zhao +2 位作者 Qiaqia Zhang Chonghui Fu Pengcheng Xie 《Chinese Journal of Population,Resources and Environment》 2022年第2期115-124,共10页
The carbon market auction mechanism is an important policy tool for carbon pricing and a key mechanism that supports carbon emission neutralization,especially for China.A few systematic studies exist on China’s carbo... The carbon market auction mechanism is an important policy tool for carbon pricing and a key mechanism that supports carbon emission neutralization,especially for China.A few systematic studies exist on China’s carbon market auction mechanism.This article focuses on the five auction mechanisms in Chinese pilot emission trading schemes(ETS),reviews the structures and bidding situation of the five-pilot auction mechanism,extracts the similarities,and analyzes their different features,such as auction mode,bidding scale,participants,pricing mode,auction frequency,and so on.This study conducts an in-depth analysis of the carbon allowance auction mechanism in the Guangdong pilot ETS of China,including its development and the evolution of the key elements,its operational effects,and related disputes.Finally,this study puts forward the trend forecast and suggestions for the Chinese allowance auction mechanism,such as the time window of launching national allowance auctions,the most likely auction mode,carbon pricing,and bidding revenue management.Carbon pricing by auction is the most powerful policy tool for addressing carbon emissions reduction and implementing the Glasgow Climate Pact. 展开更多
关键词 Carbon market Quota auction Carbon emission peak Carbon neutralization
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Negotiation Based Combinatorial Double Auction Mechanism in Cloud Computing 被引量:1
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作者 Zakir Ullah Asif Umer +6 位作者 Mahdi Zaree Jamil Ahmad Faisal Alanazi Noor Ul Amin Arif Iqbal Umar Ali Imran Jehangiri Muhammad Adnan 《Computers, Materials & Continua》 SCIE EI 2021年第11期2123-2140,共18页
Cloud computing is a demanding business platform for services related to the field of IT.The goal of cloud customers is to access resources at a sustainable price,while the goal of cloud suppliers is to maximize their... Cloud computing is a demanding business platform for services related to the field of IT.The goal of cloud customers is to access resources at a sustainable price,while the goal of cloud suppliers is to maximize their services utilization.Previously,the customers would bid for every single resource type,which was a limitation of cloud resources allocation.To solve these issues,researchers have focused on a combinatorial auction in which the resources are offered by the providers in bundles so that the user bids for their required bundle.Still,in this allocation mechanism,some drawbacks need to be tackled,such as due to the lower average bid price the users are dropped from the auction process.To solve this problem,we proposed a“Negotiation based Combinatorial Double Auction Mechanism for Resource Allocation(N-CDARA)in cloud computing”.The proposed method negotiates with dropped users.Lower average bid price users are asked by our proposed mechanism to increase their bids,as by the quoted bids they will be dropped by the auctioneer.Most of the users that are close to winning accept the proposal and increase their bid prices.The proposed mechanism is implemented in a CloudSim simulation toolkit.Results are compared with the latest model and performance study shows that in our proposed scheme more users win and get their requested services and the utilization of offered services is increased up to 18.4%than the existing schemes. 展开更多
关键词 Cloud computing combinatorial double auction negotiation resource utilization users serve
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Electronic Auction Scheme Based on Smart Contract and IPFS 被引量:1
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作者 WU Xiaohua LIU Huan +1 位作者 WU Fengheng ZHANG Ke 《计算机工程》 CAS CSCD 北大核心 2023年第2期181-190,共10页
Sealed-bid auctions are a vital transaction tool in the e-commerce field.Traditional centralized auction schemes typically result in severe threats to data integrity,information transparency,and traceability owing to ... Sealed-bid auctions are a vital transaction tool in the e-commerce field.Traditional centralized auction schemes typically result in severe threats to data integrity,information transparency,and traceability owing to their excessive reliance on third parties,and blockchain-based auction schemes generally suffer from high storage costs and are deficient in functional and architectural design.To solve these problems,this study presents a sealed-bid auction scheme that removes the third-party based on an Ethereum smart contract,ensuring data integrity,openness,and transparency in the execution process.The commitment mechanism and distributed storage system help to significantly reduce the user’s storage cost and protect the privacy of user bids.For the functional design,this study introduces a fulltext-retrieval and dispute-processing module for commodities,which reduces the defects existing in the functional module design of existing auction systems.Furthermore,a prototype auction system on the Ethereum test chain is built to validate the proposed scheme.Experiments show that compared with traditional storage methods,indirect storage based on a distributed storage system of texts and images can reduce the storage cost by at least 50%while ensuring data integrity.Finally,the gas cost at each stage of the auction scheme and the time required for the full-text retrieval of products are recorded to evaluate the scheme performance and analyze the test results. 展开更多
关键词 sealed bid auction Ethereum smart contract commitment Interplanetary File System(IPFS)
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Improving the secrecy rate by turning foes to allies:An auction scheme
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作者 马亚燕 王保云 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第9期80-90,共11页
Security against eavesdroppers is a critical issue in cognitive radio networks(CRNs). In this paper, a scenario consisting of one primary pair and multiple secondary pairs is considered. The secondary transmitters(... Security against eavesdroppers is a critical issue in cognitive radio networks(CRNs). In this paper, a scenario consisting of one primary pair and multiple secondary pairs is considered. The secondary transmitters(STs) work in half-duplex mode and they are potential eavesdroppers on the primary transmission unless they are allowed to simultaneously transmit with the primary transmitter(PT). A modified second-price sealed-bid auction scheme is employed to model the interaction between the PT and STs. With the proposed auction scheme, the hostile relationship between the PT and STs is transformed into a cooperative relationship. An iterative algorithm based on the max–min criteria is proposed to find the optimal bidding power of the STs for an access chance in the presence of multiple eavesdroppers. Numerical results show that the proposed auction scheme not only improves the PT's security but also increases the access opportunities of the STs. 展开更多
关键词 security auction COOPERATION cognitive radio networks
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Study on the Winning Probability for a Bid in Procurement Combinational Auction with Tree Structure 被引量:1
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作者 CHEN Jian, HUANG He (Research Center for Contemporary Management, Tsinghua University Beijing 10084 China) 《Journal of Electronic Science and Technology of China》 2004年第3期18-21,46,共5页
In this paper, the processes to determine winning probability for the corresponding bidder's deterministic bid are presented. The analysis of the winning probability is crucial for studying the bidding equilibria ... In this paper, the processes to determine winning probability for the corresponding bidder's deterministic bid are presented. The analysis of the winning probability is crucial for studying the bidding equilibria and designing the mechanism of procurement combinational auctions (CAs), and it also provides the decision making support for bidders who are in commercial synergies surrounding. Finally, an example is used to illustrate the feasibility and detailed processes of calculating winning probability. 展开更多
关键词 procurement combinational auctions bidding winning probability computation strategy
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A New Protocol for Multi-Item Electronic Auctions
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作者 HUANG Genxun ZHOU Ran WEI Fushan YU Gang 《Wuhan University Journal of Natural Sciences》 CAS 2006年第6期1891-1894,共4页
The authors propose a new protocol for muhizzitem electronic auctions. It has the following advantages: first, the protocol is more applicable and flexible than the previous protocols, in this protocol, each bidder c... The authors propose a new protocol for muhizzitem electronic auctions. It has the following advantages: first, the protocol is more applicable and flexible than the previous protocols, in this protocol, each bidder can decide how many items to buy according to diiferent bidding prices, which are set by the seller at the beginning of the auction; second, privacy is well preserved, no third parties are needed in the protocol and the auction outcome is jointly computed by the bidders on their own without uncovering any additional information. 展开更多
关键词 electronic auction HOMOMORPHISM zero-knowledge proof
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Determining winner in multi-attribute procurement auction:a method based on technical and business experts' evaluation information
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作者 Guangxin Gao Zhiping Fan Yang Liu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第6期1244-1253,共10页
A method for solving the winner determination problem (WDP) in multi-attribute procurement auctions is proposed, based on technical and business experts' evaluation information. Firstly, on the background of procur... A method for solving the winner determination problem (WDP) in multi-attribute procurement auctions is proposed, based on technical and business experts' evaluation information. Firstly, on the background of procurements in China, a multi-attribute pro- curement auction mechanism is presented, where technical and business experts participate in the bid evaluation. Then, the concept of TOPSIS is used to determine the positive and negative ideal points of the WDP according to bid prices, the technical and business experts' evaluation information. Further, the closeness coefficient of each bidder (candidate supplier) is obtained by calculating the distances to the positive and negative ideal points. Thus, the winning supplier can be determined according to the closeness coefficients. Finally, a numerical example is used to illustrate the use of the proposed method. 展开更多
关键词 multi-attribute auction winner determination technical and business experts bid evaluation.
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