Open AccessOptimal power allocation over parallel Gaussian channels in cognitive radio and jammer games
Author(s) -
Slimeni Feten,
Le Nir Vincent,
Scheers Bart,
Chtourou Zied,
Attia Rabah
Publication year - 2016
Publication title -
iet communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.355
H-Index - 62
eISSN - 1751-8636
pISSN - 1751-8628
DOI - 10.1049/iet-com.2015.0976
Subject(s) - stackelberg competition , nash equilibrium , cognitive radio , computer science , transmitter , mathematical optimization , minimax , game theory , jamming , gaussian , best response , uniqueness , zero sum game , additive white gaussian noise , mathematical economics , computer network , telecommunications , mathematics , channel (broadcasting) , wireless , physics , mathematical analysis , quantum mechanics , thermodynamics
Cognitive jammers are able to deploy advanced strategies that degrade the performance of cognitive radio (CR) user communications. In this study, the authors study the problem of power allocation in CR user and jammer games, over parallel Gaussian channels. They model the interaction between a communicator (a transmitter–receiver pair) and a jammer using zero‐sum games with continuous action sets; they describe unilateral, Nash and Stackelberg games. They compare the Nash equilibrium (NE), the Stackelberg equilibrium and the minmax/maxmin optimal power allocations through the simulation of the diverse game scenarios. Finally, they give the theoretical proof of existence and uniqueness of the NE.