具有保留效用的一般网络价格竞争博弈的寡占均衡

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

本文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,并证明了其存在性、唯一性和连续性。由服务提供商所给价格和对应价格的用户均衡,给出了寡占均衡和严格寡占均衡的定义。根据Wardrop原理,给出了给定价格下用户均衡流量分配的特征刻画。本文还讨论了寡占均衡和严格寡占均衡的性质,给出严格寡占均衡价格的特征刻画,并用并行链路网络例证了文章的主要结果。

This paper discusses the price competition game among multiple service providers in a general network with reserved utility. We give the definition of user equilibrium, show its existence, uniqueness and continuity with respect to price, and then define the oligopoly equilibrium as the equilibrium prices set by the service provider and the corresponding user equilibrium. For a given price, we provide a characterization of the user equilibrium of flow rates under the Wardrop assumption. Furthermore, we discuss some properties of the oligopoly equilibrium and strict oligopoly equilibrium and explicitly characterize the oligopoly equilibrium price. We also illustrate our main result with parallel link network.