Compensations in the Shapley value and the compensation solutions for graph games

@article{Bal2012CompensationsIT,
  title={Compensations in the Shapley value and the compensation solutions for graph games},
  author={Sylvain B{\'e}al and Eric R{\'e}mila and Philippe Solal},
  journal={Int. J. Game Theory},
  year={2012},
  volume={41},
  pages={157-178}
}
We consider an alternative expression of the Shapley value that reveals a system of compensations: each player receives an equal share of the worth of each coalition he belongs to, and has to compensate an equal share of the worth of any coalition he does not belong to. We give an interpretation in terms of formation of the grand coalition according to an… CONTINUE READING