Worst-case equilibria

  • Authors:
  • Elias Koutsoupias;Christos Papadimitriou

  • Affiliations:
  • Univ of California, Los Angeles;Univ of California, Berkeley

  • Venue:
  • STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
  • Year:
  • 1999

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Abstract

In a system in which noncooperative agents share a common resource, we propose the ratio between the worst possible Nash equilibrium and the social optimum as a measure of the effectiveness of the system. Deriving upper and lower bounds for this ratio in a model in which several agents share a very simple network leads to some interesting mathematics, results, and open problems.