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Summary: Alpha-fair resource allocation under incomplete
information and presence of a jammer
Eitan Altman1
, Konstantin Avrachenkov1
, and Andrey Garnaev2
1
INRIA Sophia Antipolis, France
{altman,k.avrachenkov}@sophia.inria.fr
2
St. Petersburg State University, Russia
agarnaev@rambler.ru
Abstract. In the present work we deal with the concept of alpha-fair
resource allocation in the situation where the decision maker (in our
case, the base station) does not have complete information about envi-
ronment. Namely, we develop a concept of -fairness under uncertainty
to allocate power resource in the presence of a jammer under two types
of uncertainty: (a) the decision maker does not have complete knowl-
edge about the parameters of the environment, but knows only their
distribution, (b) the jammer can come into the environment with some
probability bringing extra background noise. The goal of the decision
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