DIMACS TR: 99-43

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.

Paper Available at: ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/1999/99-43.ps.gz
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