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Zbl 1167.90420
Ganesh, Ayalvadi; Laevens, Koenraad; Steinberg, Richard
Congestion pricing and noncooperative games in communication networks. (English)
[J] Oper. Res. 55, No. 3, 430-438 (2007). ISSN 0030-364X; ISSN 1526-5463/e

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 2000:: *90B18 Communication networks
91A10 Noncooperative games
91B52 Special types of equilibria in economics

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Zentralblatt MATH Berlin [Germany]