Conjectural Equilibrium in Water-Filling Games

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Conjectural Equilibrium in Water-Filling Games
—This paper considers a non-cooperative game in which competing users sharing a frequency-selective interference channel selfishly optimize their power allocation in order to improve their achievable rates. Previously, it was shown that a user having the knowledge of its opponents’ channel state information can make foresighted decisions and substantially improve its performance compared with the case in which it deploys the conventional iterative water-filling algorithm, which does not exploit such knowledge. This paper discusses how a foresighted user can acquire this knowledge by modeling its experienced interference as a function of its own power allocation. To characterize the outcome of the multi-user interaction, the conjectural equilibrium is introduced, and the existence of this equilibrium for the investigated water-filling game is proved. Interestingly, both the Nash equilibrium and the Stackelberg equilibrium are shown to be special cases of the generalization of conjec...
Yi Su, Mihaela van der Schaar
Added 04 Sep 2010
Updated 04 Sep 2010
Type Conference
Year 2009
Authors Yi Su, Mihaela van der Schaar
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