Pure strategy oligopoly equilibrium of price competition game with elastic utility

Juan Xu · Computer Engineering and Applications Journal · 2008

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.

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