Monotone Games for Cognitive Radio Systems

  • Gesualdo Scutari
  • Daniel P. Palomar
  • Francisco Facchinei
  • Jong-Shi Pang
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 417)


Noncooperative game theory is a branch of game theory for the resolution of conflicts among interacting decision makers (called players), each behaving selfishly to optimize his own well-being. In this chapter, we present a mathematical treatment of (generalized) Nash equilibrium problems based on the variational inequality and complementarity approach, covering the topics of existence and uniqueness of an equilibrium, and the design of distributed algorithms using best-response iterations along with their convergence properties.We then apply the developed machinery to the distributed design of cognitive radio systems. The proposed equilibrium models and resulting algorithms differ in performance of the secondary users, level of protection of the primary users, computational effort and signaling among primary and secondary users, convergence analysis, and convergence speed; which makes them suitable for many different CR systems.


Nash Equilibrium Variational Inequality Cognitive Radio Variational Solution Cognitive Radio System 
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Copyright information

© Springer London 2012

Authors and Affiliations

  • Gesualdo Scutari
    • 1
  • Daniel P. Palomar
    • 2
  • Francisco Facchinei
    • 3
  • Jong-Shi Pang
    • 4
  1. 1.Department of Electrical EngineeringState University of New York (SUNY) at BuffaloBuffaloUSA
  2. 2.Department of Electronic and Computer EngineeringHong Kong University of Science and TechnologyKowloonHong Kong
  3. 3.Dipartimento di Informatica e SistemisticaUniversity of Rome La SapienzaRomeItaly
  4. 4.University of Illinois at Urbana-ChampaignUrbanaUSA

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