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A New Theoretical Evaluation Framework for Satisfaction Equilibria in Wireless Networks
In this paper, a theoretical evaluation framework regarding the
\textit{Satisfaction Equilibrium (SE)} in wireless communication networks is
introduced and examined. To study these equilibria operation points, we coin
some new concepts, namely the \textit{Valued Satisfaction Equilibrium}, the
\textit{Price of Efficiency} and the \textit{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 \textit{Satisfaction Equilibrium} are provided for the
two-user case and the \textit{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.Comment: A version of this paper was accepted for publication in BalkanCom
201