Authors
Eitan Altman, Konstantin Avrachenkov, Andrey Garnaev
Publication date
2010/4/1
Journal
Performance Evaluation
Volume
67
Issue
4
Pages
338-349
Publisher
North-Holland
Description
We consider jamming in wireless networks in the framework of zero-sum games with α-fairness 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 the 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 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 …
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