5th International ICST Conference on Cognitive Radio Oriented Wireless Networks and Communications

Research Article

A multi-level hierarchical game-theoretical approach for cognitive networks

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  • @INPROCEEDINGS{10.4108/ICST.CROWNCOM2010.9292,
        author={Gaoning He and Samson Lasaulce and Yezekael Hayel and M\^{e}rouane Debbah},
        title={A multi-level hierarchical game-theoretical approach for cognitive networks},
        proceedings={5th International ICST Conference on Cognitive Radio Oriented Wireless Networks and Communications},
        publisher={IEEE},
        proceedings_a={CROWNCOM},
        year={2010},
        month={9},
        keywords={Games Interference Lead Power control Radio transmitters Signal to noise ratio},
        doi={10.4108/ICST.CROWNCOM2010.9292}
    }
    
  • Gaoning He
    Samson Lasaulce
    Yezekael Hayel
    Mérouane Debbah
    Year: 2010
    A multi-level hierarchical game-theoretical approach for cognitive networks
    CROWNCOM
    IEEE
    DOI: 10.4108/ICST.CROWNCOM2010.9292
Gaoning He1,*, Samson Lasaulce1,*, Yezekael Hayel2,*, Mérouane Debbah3,*
  • 1: Lab. des Signaux et Systemes, CNRS - Supélec - Paris Sud, 91192 Gif-sur-Yvette - FRANCE
  • 2: Lab. Informatique d’Avignon, Universite d’Avignon, 84911 Avignon - France
  • 3: Alcatel-Lucent Chair, Supélec, 91192 Gif-sur-Yvette - France
*Contact email: gaoning.he@gmail.com, lasaulce@lss.supelec.fr, yezekael.hayel@univavignon.fr, merouane.debbah@supelec.fr

Abstract

This paper considers a game theoretical approach to study the problem of energy-efficient power control in cognitive wireless networks where some hierarchy exists between cognitive devices. This hierarchical structure is introduced either to model cognitive networks where some transmitters have more sensing capabilities than the others (they can observe more transmitters) or networks for which the degrees of knowledge about the network are different. The optimum selfish power control policy under consideration is determined in two scenarios: 1. K transmitters with K hierarchy levels; 2. two hierarchy levels comprising K1 non-cognitive terminals and K - K1 cognitive terminals. For both scenarios, it is shown that the derived equilibria Pareto-dominate the one obtained without hierarchy. Interestingly, in scenario 1 we show that following is better than leading in terms of individual energy-efficiency. In scenario 2, considering the global network efficiency, we show that there exists an optimum number of cognitive terminals to put in the network.