Capacity Maximization in Cognitive Networks: A Stackelberg Game-Theoretic Perspective

Contrary to previous works, we focus on cooperation and competition relationship and the interactive dynamic behavior between multiple primary users (PUs) and secondary users (SUs) in a multiple cognitive interference channel context. Because of different levels of context information perceived by different types of players, e.g. the PUs and the SUs, and unbalanced nature of the spectrum priority among the multi-SUs/Pus in this setting, we investigate capacity maximization using the Stackelberg game modeling approach. Especially, we analyze the multi-leaders and multi-followers case, and further give a one-by-one case for making this model clear. Some conclusions are given via theorems. In addition, we propose the distributed iterative water-filling algorithms (IWFA) for pursuing Nash equilibrium solution (NES) and the Stackelberg equilibrium solution (SES) with low implementation complexity after analyzing and deriving the newly formulated game model in detail. Simulations results verify the performance of the proposed approaches in this paper.

[1]  Michael Bloem,et al.  A stackelberg game for power control and channel allocation in cognitive radio networks , 2007, Valuetools 2007.

[2]  Allen B. MacKenzie,et al.  Game Theory for Wireless Engineers (Synthesis Lectures on Communications) , 2006 .

[3]  Wei Wu,et al.  Capacity of a Class of Cognitive Radio Channels: Interference Channels With Degraded Message Sets , 2007, IEEE Transactions on Information Theory.

[4]  Mihaela van der Schaar,et al.  A new perspective on multi-user power control games in interference channels , 2007, IEEE Transactions on Wireless Communications.

[5]  Allen B. MacKenzie,et al.  Game Theory for Wireless Engineers , 2006, Game Theory for Wireless Engineers.

[6]  Vikram Krishnamurthy,et al.  Game Theoretic Issues in Cognitive Radio Systems (Invited Paper) , 2009, J. Commun..

[7]  V. Tarokh,et al.  Cognitive radio networks , 2008, IEEE Signal Processing Magazine.

[8]  Ryan W. Thomas,et al.  Cognitive networks , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[9]  Andrea J. Goldsmith,et al.  Breaking Spectrum Gridlock With Cognitive Radios: An Information Theoretic Perspective , 2009, Proceedings of the IEEE.

[10]  Qian Zhang,et al.  Stackelberg game for utility-based cooperative cognitiveradio networks , 2009, MobiHoc '09.

[11]  V. Tarokh,et al.  Cognitive radio networks , 2008, IEEE Signal Processing Magazine.

[12]  Zhu Han,et al.  Distributed Relay Selection and Power Control for Multiuser Cooperative Communication Networks Using Stackelberg Game , 2009, IEEE Transactions on Mobile Computing.