Tight bounds for worst-case equilibria

  • Authors:
  • Artur Czumaj;Berthold Vöcking

  • Affiliations:
  • New Jersey Institute of Technology;Max-Planck-Institut für Informatik, Saarbrücken, Germany

  • Venue:
  • SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 2002

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Abstract

The coordination ratio is a game theoretic measure that aims to reflect the price of selfish routing in a network. We show the worst-case coordination ratio on m parallel links (of possibly different speeds) isΘ(log m/log log log m)Our bound is asymptotically tight and it entirely resolves an question posed recently by Koutsoupias and Papadimitriou [3].