Convergence and approximation in potential games

  • Authors:
  • George Christodoulou;Vahab S. Mirrokni;Anastasios Sidiropoulos

  • Affiliations:
  • Dept. of Informatics and Telecommunications, National and Kapodistrian University of Athens;MIT Computer Science and Artificial Intelligence Laboratory;MIT Computer Science and Artificial Intelligence Laboratory

  • Venue:
  • STACS'06 Proceedings of the 23rd Annual conference on Theoretical Aspects of Computer Science
  • Year:
  • 2006

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Abstract

We study the speed of convergence to approximately optimal states in two classes of potential games. We provide bounds in terms of the number of rounds, where a round consists of a sequence of movements, with each player appearing at least once in each round. We model the sequential interaction between players by a best-response walk in the state graph, where every transition in the walk corresponds to a best response of a player. Our goal is to bound the social value of the states at the end of such walks. In this paper, we focus on two classes of potential games: selfish routing games, and cut games (or party affiliation games [7]).