A Minimax Game of Power Control in a Wireless Network under Incomplete Information
Heikkinen Tiina · 1999
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.