Correlated equilibria in graphical games

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Correlated equilibria in graphical games
We examine correlated equilibria in the recently introduced formalism of graphical games, a succinct representation for multiplayer games. We establish a natural and powerful relationship between the graphical structure of a multiplayer game and a certain Markov network representing distributions over joint actions. Our first main result establishes that this Markov network succinctly represents all correlated equilibria of the graphical game up to expected payoff equivalence. Our second main result provides a general algorithm for computing correlated equilibria in a graphical game based on its associated Markov network. For a special class of graphical games that includes trees, this algorithm runs in time polynomial in the graphical game representation (which is polynomial in the number of players and exponential in the graph degree). Categories and Subject Descriptors F.2.0 [Analysis of Algorithms and Problem Complexity]: General General Terms Algorithms, Theory, Economics Keywor...
Sham Kakade, Michael J. Kearns, John Langford, Lui
Added 05 Jul 2010
Updated 05 Jul 2010
Type Conference
Year 2003
Authors Sham Kakade, Michael J. Kearns, John Langford, Luis E. Ortiz
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