一般网络中弹性效用价格竞争博弈的寡占均衡

Oligopoly Equilibrium of Price Competition Game with Elastic Utility in General Networks

摘要:

讨论了具有保留效用的一般网络的多个服务提供商之间的价格竞争博弈问题.给出了用户均衡的定义，由服务提供商所给价格和对应价格的用户均衡，给出了寡占均衡的定义.根据Wardrop原理，给出了用户均衡流量分配的特征刻画.此处,还给出了寡占均衡的特征刻画，并比较了寡占均衡流量分配与社会最优流量分配之间的性能，证明了在寡占均衡时，每个OD(源目的)对的流量分配总和总是小于等于在社会最优情况下的流量分配总和.

关键词:网络服务提供商; 价格竞争; 博弈; 均衡; 寡占; 弹性效用

Abstract:

This paper presents a study of the price competition game among multiple service providers in a general network with elastic utility.The paper also presents the definition of a user equilibrium and the oligopoly equilibrium as the equilibrium prices set by the service provider and the corresponding user equilibrium.For a given price,a characterization of the user equilibrium of flow rates is elaborated under the Wardrop assumption.Furthermore,the oligopoly equilibrium is explicitly characterized,and its performance relative to the social optimum is studied.The study results show that the aggregate flow allocations at the oligopoly equilibrium are always less than and equal to the social equilibrium for each origindestination(OD) pair.

Key words:network service provider; price competition; game; equilibrium; oligopoly; elastic utility