Learning equilibria in repeated congestion games

While the class of congestion games has been thoroughly studied in the multi-agent systems literature, settings with incomplete information have received relatively little attention. In this paper we consider a setting in which the cost functions of resources in the congestion game are initially unknown. The agents gather information about these cost functions through repeated interaction, and observations of costs they incur. In this context we consider the following requirement: the agents’ algorithms should themselves be in equilibrium, regardless of the actual cost functions and should lead to an efficient outcome. We prove that this requirement is achievable for a broad class of games: repeated symmetric congestion games. Our results are applicable even when agents are somewhat limited in their capacity to monitor the actions of their counterparts, or when they are unable to determine the exact cost they incur from every resource. On the other hand, we show that there exist asy...

• Type: Conference
• Year: 2009
• Where: ATAL
• Authors: Moshe Tennenholtz, Aviv Zohar
• Keywords: Artificial Intelligence, ATAL 2009, Congestion Games, Cost Functions, Symmetric Congestion Games