Games on lattices, multichoice games and the shapley value: a new approach

@article{Grabisch2007GamesOL,
  title={Games on lattices, multichoice games and the shapley value: a new approach},
  author={Michel Grabisch and Fabien Lange},
  journal={Math. Meth. of OR},
  year={2007},
  volume={65},
  pages={153-167}
}
Multichoice games, as well as many other recent attempts to generalize the notion of classical cooperative game, can be casted into the framework of lattices. We propose a general definition for games on lattices, together with an interpretation. Several definitions of the Shapley value of a multichoice games have already been given, among them the original one due to Hsiao and Raghavan, and the one given by Faigle and Kern. We propose a new approach together with its axiomatization, more in… CONTINUE READING
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