A Minimax Game of Power Control in a Wireless Network under Incomplete Information

  • Authors:
  • Heikkinen Tiina

  • Affiliations:
  • -

  • Venue:
  • A Minimax Game of Power Control in a Wireless Network under Incomplete Information
  • Year:
  • 1999

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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.