基于Nash平衡点的网络收益优化策略  

Sheme to optimize revenue in networks based on Nash equilibrium

作　　者：杨木易[1] 潘伟[2] 井元伟[1] 何凌[1] 

机构地区：[1]东北大学信息科学与工程学院,沈阳110004 [2]沈阳炮兵学院电子侦察系,沈阳110162

出　　处：《控制与决策》2007年第6期643-646,共4页Control and Decision

基　　金：国家自然科学基金项目(60274009);教育部暨辽宁省流程工业综合自动化重点实验室开放课题项目

摘　　要：研究了非合作用户的网络定价问题.将对策论中主从策略的思想应用到定价策略中,首先分析了在Nash平衡态下使主方收益达到最大时价格所满足的条件;然后结合网络市场的供求关系,将Nash平衡点视为供求平衡点,从而确定了相应的价格;最后以数值例子得出Nash平衡态下用户的速率和网络的收益.结果表明,合理的价控策略能够激发用户合理地使用网络资源,同时给管理者带来最优收入.The network-pricing problem is studied for the noncooperative users. Stackelberg game theory is applied to the pricing scheme. Firstly, the service provider＇s optimal revenue condition that the price should satisfy when the users＇ rates reach the Nash equilibrium is analyzed. Secondly, from the viewpoint of the relation between supply and demand of the network market, the Nash equilibrium is seen as the equilibrium between the supply and the demand, then the corresponding price is confirmed. Finally, the numerical examples of the rates of the users＇ Nash equilibrium and the revenue of network are given. The results show that reasonable pricing scheme is significance for stimulating users to utilize the resource of networks and bringing optimal revenue for the service provider.

关 键 词：主从策略 网络定价 非合作 NASH平衡点 供求平衡 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]