SIAM Journal on Computing · 2011 · 103 citations · 19 references
Social SciencesEconomicsGame TheoryAlgorithmic Game TheoryCombinatorial Game TheoryCongestion ControlNash EquilibriumNetwork GamesAtomic Congestion GamesNetwork Congestion GamesNetwork Equilibrium
We show exact values for the worst-case price of anarchy in weighted and unweighted (atomic unsplittable) congestion games, provided that all cost functions are bounded-degree polynomials with nonnegative coefficients. The given values also hold for weighted and unweighted network congestion games.
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John F. Nash · Annals of Mathematics · 1951 · 6.6K citations
Dov Monderer, Lloyd S. Shapley · Games and Economic Behavior · 1996 · 3.5K citations
Tim Roughgarden, Éva Tardos · Journal of the ACM · 2002 · 1.6K citations