A New Theoretical Evaluation Framework for Satisfaction Equilibria in Wireless Networks
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In this paper, a theoretical evaluation framework regarding the Satisfaction Equilibrium (SE) in wireless communication networks is introduced and examined. To study these equilibria operation points, we coin some new concepts, namely the Valued Satisfaction Equilibrium, the Price of Efficiency and the Max Price of Satisfaction, which can be used for measuring the efficiency of the obtained equilibria solutions. The aforementioned framework is analyzed and evaluated in a wireless communication environment under the presence of the Gaussian Interference channel (GIC). Within this setting, a non-cooperative game among the users is studied, where users aim in a selfish manner to meet their Quality of Service (QoS) prerequisite. However instead of maximizing the QoS which is generally energy costly, we evangelize that better energy-efficiency is achieved by targeting satisfactory QoS levels only. The sufficient and necessary conditions that lead to the Satisfaction Equilibrium are provided for the two-user case and the Efficient Satisfaction Equilibrium (ESE) is determined, where the users satisfy their QoS constraints with the lowest possible cost. Moreover, specific measures for evaluating the efficiency of various satisfaction equilibria, in a formal and quantitative manner, expressing the tradeoff with respect to the achieved utility or a given objective function and corresponding cost, are defined and analyzed.
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