1st International Conference on Game Theory for Networks

Research Article

On the Number and the Distribution of the Nash Equilibria in SuperModular Games and their Impact on the Tipping Set

  • @INPROCEEDINGS{10.1109/GAMENETS.2009.5137462,
        author={Sudarshan Dhall and S. Lakshmivarahan and Pramode  Verma},
        title={On the Number and the Distribution of the Nash Equilibria in SuperModular Games and their Impact on the Tipping Set},
        proceedings={1st International Conference on Game Theory for Networks},
        publisher={IEEE},
        proceedings_a={GAMENETS},
        year={2009},
        month={6},
        keywords={},
        doi={10.1109/GAMENETS.2009.5137462}
    }
    
  • Sudarshan Dhall
    S. Lakshmivarahan
    Pramode Verma
    Year: 2009
    On the Number and the Distribution of the Nash Equilibria in SuperModular Games and their Impact on the Tipping Set
    GAMENETS
    IEEE
    DOI: 10.1109/GAMENETS.2009.5137462
Sudarshan Dhall1,*, S. Lakshmivarahan1,*, Pramode Verma2,*
  • 1: The School of Computer Science, University of Oklahoma, Norman.
  • 2: School of Electrical & Computer Engineering, University of Oklahoma, Norman.
*Contact email: sdhall@ou.edu, varahan@ou.edu, pverma@ou.edu

Abstract

In this paper we analyze a class of n-person supermodular games that arise in the context of interdependent security analysis. More specifically, we quantify the number and the distribution of Nash equilibria in pure strategies and their impact on the tipping set.