• Article  

      The complexity of pure equilibria in mix-weighted congestion games on parallel links 

      Mavronicolas, Marios; Monien, Burkhard (2015)
      We revisit the simple class of weighted congestion games on parallel links [10], where each player has a non-negative weight and her cost on the link she chooses is the sum of the weights of all players choosing the link. ...
    • Article  

      Facets of the fully mixed Nash equilibrium conjecture 

      Feldmann, R.; Mavronicolas, Marios; Pieris, Andreas (2010)
      In this work, we continue the study of the many facets of the Fully Mixed Nash Equilibrium Conjecture, henceforth abbreviated as the FMNE Conjecture, in selfish routing for the special case of n identical users over two ...
    • Article  

      Nash equilibria in discrete routing games with convex latency functions 

      Gairing, M.; Lücking, T.; Mavronicolas, Marios; Monien, Burkhard; Rode, M. (2008)
      In a discrete routing game, each of n selfish users employs a mixed strategy to ship her (unsplittable) traffic over m parallel links. The (expected) latency on a link is determined by an arbitrary non-decreasing, non-constant ...
    • Conference Object  

      Network uncertainty in selfish routing 

      Georgiou, Chryssis; Pavlides, Theophanis; Philippou, Anna (2006)
      We study the problem of selfish routing in the presence of incomplete network information. Our model consists of a number of users who wish to route their traffic on a network of m parallel links with the objective of ...
    • Article  

      A new model for selfish routing 

      Lücking, T.; Mavronicolas, Marios; Monien, Burkhard; Rode, M. (2008)
      In this work, we introduce and study a new, potentially rich model for selfish routing over non-cooperative networks, as an interesting hybridization of the two prevailing such models, namely the KPmodel [E. Koutsoupias, ...
    • Article  

      A new model for selfish routing 

      Lücking, T.; Mavronicolas, Marios; Monien, Burkhard; Rode, M. (2004)
      In this work, we introduce and study a new model for selfish routing over non-cooperative networks that combines features from the two such best studied models, namely the KP model and the Wardrop model in an interesting ...
    • Article  

      Selfish routing in the presence of network uncertainty 

      Georgiou, Chryssis; Pavlides, Theophanis; Philippou, Anna (2009)
      We study the problem of selfish routing in the presence of incomplete network information. Our model consists of a number of users who wish to route their traffic on a network of m parallel links with the objective of ...
    • Article  

      The structure and complexity of Nash equilibria for a selfish routing game 

      Fotakis, Dimitris A.; Kontogiannis, Spyros C.; Koutsoupias, Elias; Mavronicolas, Marios; Spirakis, Paul G. (2009)
      In this work, we study the combinatorial structure and the computational complexity of Nash equilibria for a certain game that models selfish routing over a network consisting of m parallel links. We assume a collection ...
    • Article  

      The structure and complexity of Nash equilibria for a selfish routing game 

      Fotakis, Dimitris A.; Kontogiannis, Spyros C.; Koutsoupias, Elias; Mavronicolas, Marios; Spirakis, Paul G. (2002)
      In this work, we study the combinatorial structure and the computational complexity of Nash equilibria for a certain game that models selfish routing over a network consisting of m parallel links. We assume a collection ...
    • Article  

      Which is the worst-case Nash equilibrium? 

      Lücking, T.; Mavronicolas, Marios; Monien, Burkhard; Rode, M.; Spirakis, Paul G.; Vrto, I. (2003)
      A Nash equilibrium of a routing network represents a stable state of the network where no user finds it beneficial to unilaterally deviate from its routing strategy. In this work, we investigate the structure of such ...