Nash Propagation for Loopy Graphical Games

@inproceedings{Ortiz2002NashPF,
  title={Nash Propagation for Loopy Graphical Games},
  author={Luis E. Ortiz and Michael Kearns},
  booktitle={NIPS},
  year={2002}
}
We introduce NashProp, an iterative and local message-passing algorithm for computing Nash equilibria in multi-player games represented by arbitrary undirected graphs. We provide a formal analysis and experimental evidence demonstrating that NashProp performs well on large graphical games with many loops, often converging in just a dozen iterations on graphs with hundreds of nodes. NashProp generalizes the tree algorithm of (Kearns et al. 2001), and can be viewed as similar in spirit to belief… CONTINUE READING
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