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Congestion pricing and noncooperative games in communication networks. (English) Zbl 1167.90420

Summary: We consider congestion pricing as a mechanism for sharing bandwidth in communication networks, and model the interaction among the users as a game. We propose a decentralized algorithm for the users that is based on the history of the price process, where user response to congestion prices is analogous to “fictitious play” in game theory, and show that this results in convergence to the unique Wardrop equilibrium. We further show that the Wardrop equilibrium coincides with the welfare-maximizing capacity allocation.

MSC:

90B18 Communication networks in operations research
91A10 Noncooperative games
91B52 Special types of economic equilibria
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