A Minimax Game of Power Control in a Wireless Network under Incomplete Information
Author:
Tiina Heikkinen
ABSTRACT
The purpose of this paper is to study optimal transmit power control
and capacity of a wireless multimedia network,
where there is incomplete information about the link gain coefficients. Previously,
Perron-Frobenius theory has been applied to the study of optimal power control under complete
information about the link gain matrix and the interference matrix. This paper derives a
characterization of optimal power vector and capacity in terms of an
incomplete-information-matrix-game against nature choosing the elements of the link gain and
interference matrices. A game theoretical rationale for not using power control is given.
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