Fair end-to-end window-based congestion control
IEEE/ACM Transactions on Networking (TON)
Understanding TCP vegas: a duality model
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Generalized nash bargaining solution for bandwidth allocation
Computer Networks: The International Journal of Computer and Telecommunications Networking
Transmission Power Control Game with SINR as Objective Function
Network Control and Optimization
Jamming in wireless networks: the case of several jammers
GameNets'09 Proceedings of the First ICST international conference on Game Theory for Networks
Alpha-Fair Resource Allocation under Incomplete Information and Presence of a Jammer
NET-COOP '09 Proceedings of the 3rd Euro-NF Conference on Network Control and Optimization
Jamming in wireless networks under uncertainty
WiOPT'09 Proceedings of the 7th international conference on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Jamming in Wireless Networks Under Uncertainty
Mobile Networks and Applications
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We consider jamming in wireless networks in the framework of zero-sum games with α-utility functions. The base station has to distribute the power fairly among the users in the presence of a jammer. The jammer in turn tries to distribute its power among the channels to produce as much harm as possible. The Shannon capacity and SNIR optimization are particular cases of the proposed more general α-fairness SNIR based utility functions. Specifically, we consider two α-fairness utility functions, based on SNIR and Shifted SNIR. This game can also be viewed as a minimax problem against the nature. We show that the game has the unique equilibrium and investigate its properties. In particular, in several important cases we present the equilibrium strategies and the Jain's fairness index in closed form. It turns out that there is an important difference between SNIR and Shifted SNIR α-fairness utility functions. In the case of the SNIR based utility function all users obtain nonzero powers when α 0. On contrary, when the Shifted SNIR based utility function is used, some users with bad channel conditions might not receive any power at all. We have also detected a surprising non-monotone behaviour of the Jain's fairness index in the case of the SNIR based utility function.