Pure strategy oligopoly equilibrium of price competition game with elastic utility

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (5): 31-34.

• 博士论坛 • Previous Articles Next Articles

Pure strategy oligopoly equilibrium of price competition game with elastic utility

HONG Yong-fa^1,2,XU Juan¹

1.Department of Computer Science and Technology，Tongji University，Shanghai 200092，China
2.College of Information Science and Engineering，Shandong University of Science and Technology，Qingdao，Shandong 266510，China

Received:2007-09-14 Revised:2007-11-30 Online:2008-02-11 Published:2008-02-11
Contact: HONG Yong-fa

弹性效用价格竞争博弈的纯策略寡占均衡

洪永发^1,2,徐娟¹

1.同济大学计算机科学与技术系，上海 200092
2.山东科技大学信息科学与工程学院，山东青岛 266510

通讯作者: 洪永发

Abstract

Abstract: This paper discussed the price competition among multiple service providers in a parallel-path network with elastic traffic.The authors studied a model in which service provider owned the link in a network and set prices to maximize their profits，while the users had choosen the amount of flow to send and the routing of the flow according to Wardrop’s principle.When utility function of users were concave and had concave first derivatives and the delay function was linear，the authors could prove the existence of pure strategy oligopoly equilibrium of price competition game among multiple service providers.

Key words: price competition game, equilibrium, oligopoly, elastic utility

摘要： 讨论了具有弹性效用的并行路径网络的多个服务提供商之间的价格竞争博弈问题。如果每个拥有链路的服务提供商的目的是设定使自己利润最大化的价格，而用户依据Wardrop原理选择自己的传输流量和传输路径。当每个用户的效用函数为凹函数且其一阶导数也是凹函数，网络链路的延迟函数为线性函数时，则证明了这种多个服务提供商之间的价格竞争博弈存在纯策略寡占均衡。

关键词: 价格竞争博弈, 均衡, 寡占, 弹性效用

HONG Yong-fa^1,2,XU Juan¹. Pure strategy oligopoly equilibrium of price competition game with elastic utility[J]. Computer Engineering and Applications, 2008, 44(5): 31-34.

洪永发^1,2,徐娟¹. 弹性效用价格竞争博弈的纯策略寡占均衡[J]. 计算机工程与应用, 2008, 44(5): 31-34.

[1]	WANG Jinyu, YANG Haitao, LI Gaoyuan, ZHANG Changgong, FENG Bodi. Research Progress of Generative Adversarial Network and Its Application in Image Processing [J]. Computer Engineering and Applications, 2021, 57(8): 26-35.
[2]	WU Qing, ZENG Feng. Research on Bertrand Game and Incentive Mechanism for Selfish Nodes in Opportunistic Networks [J]. Computer Engineering and Applications, 2020, 56(13): 106-113.
[3]	LI Yalong, CHEN Qin, ZHANG Min. Research on Optimal Defense Strategy of Moving Targets Based on Game Theory [J]. Computer Engineering and Applications, 2019, 55(19): 141-146.
[4]	SU Jianmin, YANG Lanxin. Super Resolution of Single Frame Remote Sensing Image Based on Generative Adversarial Nets [J]. Computer Engineering and Applications, 2019, 55(12): 202-207.
[5]	CHAI Huo1，2, HE Ruichun2, MA Changxi2, DAI Cunjie1，3. Improved Frank-Wolfe algorithm for path traffic flows in traffic assignment problems [J]. Computer Engineering and Applications, 2018, 54(9): 213-217.
[6]	LIU Bingquan1, PAN Lijing1, DU Wei2. Efficient algorithm for logit stochastic traffic equilibrium problem with dual constraints [J]. Computer Engineering and Applications, 2018, 54(17): 221-224.
[7]	ZHANG Wei1, SU Yang1，2, CHEN Wenwu1. Game model with active defense based on signaling game [J]. Computer Engineering and Applications, 2018, 54(17): 77-82.
[8]	CHEN Yu1, FENG Xiang1，2, YU Huiqun1. Research of improved imperialist competitive algorithm [J]. Computer Engineering and Applications, 2018, 54(12): 206-213.
[9]	WU Weimin, WU Wangyang, LIN Zhiyi, LI Zexiong, FANG Dianyu. Dragonfly algorithm based on enhancing exchange of individuals’ information [J]. Computer Engineering and Applications, 2017, 53(4): 10-14.
[10]	WANG Lili1, CHEN Guobin1, ZHANG Guangquan2, 3. Fair power control based on game theory in cognitive radio networks [J]. Computer Engineering and Applications, 2017, 53(3): 144-148.
[11]	SUN Chu, ZHAO Hui, WANG Xiaofei, WEI Zhenglei. Application of interval numbers decision to UCAV attack-defends game theory [J]. Computer Engineering and Applications, 2017, 53(15): 170-175.
[12]	WU Bin, MA Jitao, WU Ping. Expert random selection algorithm based on information entropy [J]. Computer Engineering and Applications, 2016, 52(5): 119-121.
[13]	XUE Chunrong. Global stability of SEIR epidemic model with disease in predator [J]. Computer Engineering and Applications, 2015, 51(23): 74-77.
[14]	ZHENG Zongjian. Hopf bifurcation analysis of Holling III-Leslie type predator-prey system with two delays [J]. Computer Engineering and Applications, 2015, 51(21): 48-51.
[15]	ZHENG Yunshui, MU Ran, LIN Junting, CHENG Ligang. Research of dynamic multi-stage scheduling decision model and algorithm for railway emergency resources [J]. Computer Engineering and Applications, 2015, 51(20): 213-219.

Pure strategy oligopoly equilibrium of price competition game with elastic utility

弹性效用价格竞争博弈的纯策略寡占均衡

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics