Satisfaction Equilibrium: A General Framework for QoS Provisioning in Self-Configuring Networks

Abstract--This paper is concerned with the concept of equilibrium and quality of service (QoS) provisioning in self-configuring wireless networks with non-cooperative radio devices (RD). In contrast with the Nash equilibrium (NE), where RDs are interested in selfishly maximizing its QoS, we present a concept of equilibrium, named satisfaction equilibrium (SE), where RDs are interested only in guaranteing a minimum QoS. We provide the conditions for the existence and the uniqueness of the SE. Later, in order to provide an equilibrium selection framework for the SE, we introduce the concept of effort or cost of satisfaction, for instance, in terms of transmit power levels, constellation sizes, etc. Using the idea of effort, the set of efficient SE (ESE) is defined. At the ESE, transmitters satisfy their minimum QoS incurring in the lowest effort. We prove that contrary to the (generalized) NE, at least one ESE always exists whenever the network is able to simultaneously support the indiv...

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Samir Medina Perlaza, Hamidou Tembine, Samson Lasaulce, Mérouane Debbah
• Keywords: CORR 2010, Education, Equilibrium Selection Framework, Individual Qos Requests, Self-configuring Wireless Networks