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which represents the downlink power control game via convex pricing.
The proposed uplink power control game is shown to admit a unique Nash equilibrium.
It is shown that the proposed uplink power control game admits a unique Nash equilibrium.
The proposed energy-efficient uplink power control game is shown to have at least one Nash equilibrium.
Therefore, Theorem 1 has been proved and there exists the Nash equilibrium with the proposed power control game.
In a uplink multiuser CR system, a non-cooperative power control game among SUs can be applied to maximize energy efficiency with a fairness constraint [101].
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Unlike power control games, in beamforming games there is no natural ordering of the actions [23].
The problem is formulated as a separable game using noncooperative convex games, with corresponding sub-games: power control and codeword control game.
An overview of power control using game theory is presented in [5].
Many studies have been published which used multiple approaches using the power control algorithms and game theory.
The proposed joint power control scheme with game theory solution further reduces the cross-tier interferences and enhances the throughput.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com