Multiagent Graph Coloring: Pareto Efficiency, Fairness and Individual Rationality

Abstract

We consider a multiagent extension of single-agent graph coloring. Multiple agents hold disjoint autonomous subgraphs of a global graph, and every color used by the agents in coloring the graph has associated cost. In this multiagent graph coloring scenario, we seek a minimum legal coloring of the global graph’s vertices, such that the coloring is also Pareto efficient, socially fair, and individual rational. We analyze complexity of individual-rational solutions in special graph classes where classical coloring algorithms are known. Multiagent graph coloring has application to a wide variety of multiagent coordination problems, including multiagent scheduling.

Cite

Text

Blum and Rosenschein. "Multiagent Graph Coloring: Pareto Efficiency, Fairness and Individual Rationality." AAAI Conference on Artificial Intelligence, 2008.

Markdown

[Blum and Rosenschein. "Multiagent Graph Coloring: Pareto Efficiency, Fairness and Individual Rationality." AAAI Conference on Artificial Intelligence, 2008.](https://mlanthology.org/aaai/2008/blum2008aaai-multiagent/)

BibTeX

@inproceedings{blum2008aaai-multiagent,
  title     = {{Multiagent Graph Coloring: Pareto Efficiency, Fairness and Individual Rationality}},
  author    = {Blum, Yaad and Rosenschein, Jeffrey S.},
  booktitle = {AAAI Conference on Artificial Intelligence},
  year      = {2008},
  pages     = {24-29},
  url       = {https://mlanthology.org/aaai/2008/blum2008aaai-multiagent/}
}