Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Power Allocation Games in Interference Relay Channels: Existence Analysis of Nash Equilibria | Hindawi Publishing Corporation EURASIP Journal on Wireless Communications and Networking Volume 2010 Article ID 583462 20 pages doi 2010 583462 Research Article Power Allocation Games in Interference Relay Channels Existence Analysis of Nash Equilibria Elena Veronica Belmega Brice Djeumou and Samson Lasaulce LSS CNRS Supelec and Universite Paris-Sud 11 Plateau du Moulon 91192 Gif-sur-Yvette France Correspondence should be addressed to Elena Veronica Belmega belmega@ Received 23 September 2009 Revised 5 July 2010 Accepted 27 November 2010 Academic Editor Michael Gastpar Copyright 2010 Elena Veronica Belmega et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We consider a network composed of two interfering point-to-point links where the two transmitters can exploit one common relay node to improve their individual transmission rate. Communications are assumed to be multiband and transmitters are assumed to selfishly allocate their resources to optimize their individual transmission rate. The main objective of this paper is to show that this conflicting situation modeled by a non-cooperative game has some stable outcomes namely Nash equilibria. This result is proved for three different types of relaying protocols decode-and-forward estimate-and-forward and amplify-and-forward. We provide additional results on the problems of uniqueness efficiency of the equilibrium and convergence of a best-response-based dynamics to the equilibrium. These issues are analyzed in a special case of the amplify-and-forward protocol and illustrated by simulations in general. 1. Introduction A possible way to improve the performance in terms of range transmission rate or quality of a network composed of mutual interfering independent source-destination links is to add some relaying nodes in the network.
