Fair Cost Allocations under Conflicts — A Game-Theoretic Point of View —

  • Yoshio Okamoto
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2906)


We study the cost allocation problem when the players are involved in a conflict situation. More formally, we consider a minimum coloring game, introduced by Deng, Ibaraki & Nagamochi, and provide algorithms for the core, the τ-value, the nucleolus and the Shapley value on some classes of graphs. The investigation gives several insights to the relationship of algorithm theory with cooperative games.


Polynomial Time Bipartite Graph Cooperative Game Chromatic Number Cost Allocation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Yoshio Okamoto
    • 1
  1. 1.Institute of Theoretical Computer Science, Department of Computer ScienceETH ZürichZürichSwitzerland

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