Research Article
Closed Form Expression of the Saddle Point in Cognitive Radio and Jammer Power Allocation Game
@INPROCEEDINGS{10.1007/978-3-319-40352-6_3, author={Feten Slimeni and Bart Scheers and Vincent Nir and Zied Chtourou and Rabah Attia}, title={Closed Form Expression of the Saddle Point in Cognitive Radio and Jammer Power Allocation Game}, proceedings={Cognitive Radio Oriented Wireless Networks. 11th International Conference, CROWNCOM 2016, Grenoble, France, May 30 - June 1, 2016, Proceedings}, proceedings_a={CROWNCOM}, year={2016}, month={6}, keywords={Cognitive radio Jammer Power allocation Saddle point Nash equilibrium}, doi={10.1007/978-3-319-40352-6_3} }- Feten Slimeni
Bart Scheers
Vincent Nir
Zied Chtourou
Rabah Attia
Year: 2016
Closed Form Expression of the Saddle Point in Cognitive Radio and Jammer Power Allocation Game
CROWNCOM
Springer
DOI: 10.1007/978-3-319-40352-6_3
Abstract
In this paper, we study the power allocation problem for a cognitive radio in the presence of a smart jammer over parallel Gaussian channels. The objective of the jammer is to minimize the total capacity achievable by the cognitive radio. We model the interaction between the two players as a zero-sum game, for which we derive the saddle point closed form expression. First, we start by solving each player’s unilateral game to find its optimal power allocation. These games will be played iteratively until reaching the Nash equilibrium. It turns out that it is possible to develop analytical expressions for the optimal strategies characterizing the saddle point of this minimax problem, under certain condition. The analytic expressions will be compared to the simulation results of the Nash equilibrium.