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arXiv 2011.017912020-11-03cs.GTcs.AI

On Singleton Congestion Games with Resilience Against Collusion

TOBB University of Economics and Technology（TOBB经济与技术大学）；Özyeğin University（厄兹耶因大学）

Bugra Caskurlu, Ozgun Ekici, Fatih Erdem Kizilkaya

备注：: 15 pages, 1 figure

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We study the subclass of singleton congestion games with identical and increasing cost functions, i.e., each agent tries to utilize from the least crowded resource in her accessible subset of resources. Our main contribution is a novel approach for proving the existence of equilibrium outcomes that are resilient to weakly improving deviations: $(i)$ by singletons (Nash equilibria), $(ii)$ by the grand coalition (Pareto efficiency), and $(iii)$ by coalitions with respect to an a priori given partition coalition structure (partition equilibria). To the best of our knowledge, this is the strongest existence guarantee in the literature of congestion games that is resilient to weakly improving deviations by coalitions.

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