4th International ICST Workshop on Game Theory in Communication Networks

Research Article

Routing Games in the many players regime

  • @INPROCEEDINGS{10.4108/icst.valuetools.2011.245785,
        author={Eitan Altman and Richard Combes and Zwi Altman and Sylvain Sorin},
        title={Routing Games in the many players regime},
        proceedings={4th International ICST Workshop on Game Theory in Communication Networks},
        publisher={ACM},
        proceedings_a={GAMECOMM},
        year={2012},
        month={6},
        keywords={routing games nash equilibria wardrop equilibria routing game theory communication networks},
        doi={10.4108/icst.valuetools.2011.245785}
    }
    
  • Eitan Altman
    Richard Combes
    Zwi Altman
    Sylvain Sorin
    Year: 2012
    Routing Games in the many players regime
    GAMECOMM
    ICST
    DOI: 10.4108/icst.valuetools.2011.245785
Eitan Altman1,*, Richard Combes2, Zwi Altman2, Sylvain Sorin3
  • 1: INRIA
  • 2: Orange Labs
  • 3: Paris VI
*Contact email: Eitan.Altman@sophia.inria.fr

Abstract

A paper by Haurie and Marcotte has established the convergence of the Nash equilibrium in routing games to the Wardrop equilibrium as the number of players grows. The result was obtained under diagonal strict convexity assumption. We extend this result and establish the convergence under weaker convexity assumptions (the B type cost structure of the article by Orda, Rom and Shimkin).