On the Two-user Multi-carrier Joint Channel Selection and Power Control Game
Majed Haddad, Piotr Wiecek, Oussama Habachi, Yezekael Hayel

TL;DR
This paper introduces a hierarchical game model for two-user multi-carrier systems that promotes spectrum orthogonalization, improving energy efficiency and spectral utilization through sequential decision-making and analytical bounds.
Contribution
It presents a novel hierarchical game approach analyzing equilibrium properties, spectrum orthogonalization, and spectral efficiency bounds in multi-carrier wireless networks.
Findings
Spectrum orthogonalization occurs naturally in the hierarchical game.
The model provides tight bounds on spectral efficiency including carrier and user correlation.
Hierarchical decision-making improves energy and spectrum efficiency.
Abstract
In this paper, we propose a hierarchical game approach to model the energy efficiency maximization problem where transmitters individually choose their channel assignment and power control. We conduct a thorough analysis of the existence, uniqueness and characterization of the Stackelberg equilibrium. Interestingly, we formally show that a spectrum orthogonalization naturally occurs when users decide sequentially about their transmitting carriers and powers, delivering a binary channel assignment. Both analytical and simulation results are provided for assessing and improving the performances in terms of energy efficiency and spectrum utilization between the simultaneous-move game (with synchronous decision makers), the social welfare (in a centralized manner) and the proposed Stackelberg (hierarchical) game. For the first time, we provide tight closed-form bounds on the spectral…
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