English

A New Theoretical Evaluation Framework for Satisfaction Equilibria in Wireless Networks

Computer Science and Game Theory 2018-06-07 v1 Information Theory Networking and Internet Architecture math.IT

Abstract

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.

Keywords

Cite

@article{arxiv.1806.01905,
  title  = {A New Theoretical Evaluation Framework for Satisfaction Equilibria in Wireless Networks},
  author = {Michail Fasoulakis and Eirini-Eleni Tsiropoulou and Symeon Papavassiliou},
  journal= {arXiv preprint arXiv:1806.01905},
  year   = {2018}
}

Comments

A version of this paper was accepted for publication in BalkanCom 2018

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