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In the presence of several Wireless Local Area Network (WLAN) service providers, the users have to make a choice. The price charged and the congestion experienced by the users play an important role in making this choice. In this paper, the authors analyze the duopoly price competition between two WLAN service providers in the presence of four types of users. They prove that the distribution of heterogeneous user demand is governed by the War-drop equilibrium. They also show the existence of the Nash equilibrium between competing WLAN service providers. It is further shown through analysis that the social welfare in Nash equilibrium is close to its maximal value.
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