Research Article
“To Sense” or “Not to Sense” in Energy-Efficient Power Control Games
@INPROCEEDINGS{10.1007/978-3-642-30373-9_39, author={Ma\`{\i}l Le Treust and Yezekael Hayel and Samson Lasaulce and M\^{e}rouane Debbah}, title={“To Sense” or “Not to Sense” in Energy-Efficient Power Control Games}, proceedings={Game Theory for Networks. 2nd International ICST Conference, GAMENETS 2011, Shanghai, China, April 16-18, 2011, Revised Selected Papers}, proceedings_a={GAMENETS}, year={2012}, month={10}, keywords={}, doi={10.1007/978-3-642-30373-9_39} }- Maël Le Treust
Yezekael Hayel
Samson Lasaulce
Mérouane Debbah
Year: 2012
“To Sense” or “Not to Sense” in Energy-Efficient Power Control Games
GAMENETS
Springer
DOI: 10.1007/978-3-642-30373-9_39
Abstract
A network of cognitive transmitters is considered. Each transmitter has to decide his power control policy in order to maximize energy-efficiency of his transmission. For this, a transmitter has two actions to take. He has to decide whether to sense the power levels of the others or not (which corresponds to a finite sensing game), and to choose his transmit power level for each block (which corresponds to a compact power control game). The sensing game is shown to be a weighted potential game and its set of correlated equilibria is studied. Interestingly, it is shown that the general hybrid game where each transmitter can jointly choose the hybrid pair of actions (to sense or not to sense, transmit power level) leads to an outcome which is worse than the one obtained by playing the sensing game first, and then playing the power control game. This is an interesting Braess-type paradox to be aware of for energy-efficient power control in cognitive networks.
