On the Price of Anarchy and Stability of Correlated Equilibria of Linear Congestion Games,, View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2005

AUTHORS

George Christodoulou , Elias Koutsoupias

ABSTRACT

We consider the price of stability for Nash and correlated equilibria of linear congestion games. The price of stability is the optimistic price of anarchy, the ratio of the cost of the best Nash or correlated equilibrium over the social optimum. We show that for the sum social cost, which corresponds to the average cost of the players, every linear congestion game has Nash and correlated price of stability at most 1.6. We also give an almost matching lower bound of . We also consider the price of anarchy of correlated equilibria. We extend existing results about Nash equilibria to correlated equilibria and show that for the sum social cost, the price of anarchy is exactly 2.5, the same for pure and mixed Nash and for correlated equilibria. The same bound holds for symmetric games as well. We also extend the results about Nash equilibria to correlated equilibria for weighted congestion games and we show that when the social cost is the total latency, the price of anarchy is . More... »

PAGES

59-70

References to SciGraph publications

  • 2004. Nash Equilibria in Discrete Routing Games with Convex Latency Functions in AUTOMATA, LANGUAGES AND PROGRAMMING
  • 2004. Selfish Unsplittable Flows in AUTOMATA, LANGUAGES AND PROGRAMMING
  • 2004. A New Model for Selfish Routing in STACS 2004
  • 1973-12. A class of games possessing pure-strategy Nash equilibria in INTERNATIONAL JOURNAL OF GAME THEORY
  • 2004. Computational Complexity, Fairness, and the Price of Anarchy of the Maximum Latency Problem in INTEGER PROGRAMMING AND COMBINATORIAL OPTIMIZATION
  • 2004. The Price of Anarchy for Polynomial Social Cost in MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE 2004
  • 2002-04-12. Worst-Case Equilibria in STACS 99
  • 2003-12. Approximate Equilibria and Ball Fusion in THEORY OF COMPUTING SYSTEMS
  • Book

    TITLE

    Algorithms – ESA 2005

    ISBN

    978-3-540-29118-3
    978-3-540-31951-1

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/11561071_8

    DOI

    http://dx.doi.org/10.1007/11561071_8

    DIMENSIONS

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