Fast and Compact: A Simple Class of Congestion Games

We study a simple, yet rich subclass of congestion games that we call singleton games. These games are exponentially more compact than general congestion games. In contrast with some other compact subclasses, we show tractability of many natural game-theoretic questions, such as finding a sample or optimal Nash equilibrium. For best- and better-response dynamics, we establish polynomial upper and lower bounds on the rate of convergence and present experimental results. We also consider a natural generalization of singleton games and show that many tractability results carry over.

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In  Proceedings of National Conference on Artificial Intelligence (AAAI)

Publisher  American Association for Artificial Intelligence
All copyrights reserved by AAAI 2007.

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