The non-cooperative game theory applied to telecommunication systems
Abstract
In this paper, we outline various tools from the theory of non-cooperative games for studying competitive situations in telecommunication networks. We describe the mathematical tools while providing examples of various fields of telecommunication systems. In this paper, we study wireless systems in which mobile devices are autonomous in the choice of their communication configurations. This independence decision may involve, in particular the choice of the network access technology, the selection of the access point, the signal modulation, the frequency bands occupied, the power of the transmitted signal, etc. Typically, these configuration choices are made in order to maximize performance metrics specific to each terminal. Assuming that the terminals take their rational decisions to maximize their performance, game theory applies naturally to model the interactions between the decisions of different terminals. Specifically, the main objective of this article is to study emission power control equilibrium strategies to satisfy energy efficiency considerations. The framework of stochastic games is particularly suited to this problem and allows us in particular to characterize the region of performance achievable for all power control strategies that lead to a state of equilibrium. When the number of game terminals is large, we use the theory of mean field games to simplify the study of the system. This theory allows us to study not the individual interactions between the terminals, but the interaction of each terminal with an average field representing the overall state of the other terminals. Finally, for a power control game, the convergence of dynamics of better responses to equilibrium points has been studied.The submitting author warrants that the submission is original and that she/he is the author of the submission together with the named co-authors; to the extend the submission incorporates text passages, figures, data or other material from the work of others, the submitting author has obtained any necessary permission.
Articles in this journal are published under the Creative Commons Attribution Licence (CC-BY). This is to get more legal certainty about what readers can do with published articles, and thus a wider dissemination and archiving, which in turn makes publishing with this journal more valuable for you, the authors.
In order for iJIST to publish and disseminate research articles, we need publishing rights. This is determined by a publishing agreement between the author and iJIST.
By submitting an article the author grants to this journal the non-exclusive right to publish it. The author retains the copyright and the publishing rights for his article without any restrictions.
Privacy Statement
The names and email addresses entered in this journal site will be used exclusively for the stated purposes of this journal and will not be made available for any other purpose or to any other party.