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

Michel Grabisch and Fabien Lange ()

Mathematical Methods of Operations Research, 2007, vol. 65, issue 1, 153-167

Abstract: 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 the spirit of the original axiomatization of Shapley, and avoiding a high computational complexity. Copyright Springer-Verlag 2007

Date: 2007
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Working Paper: Games on lattices, multichoice games and the Shapley value: a new approach (2007)
Working Paper: Games on lattices, multichoice games and the Shapley value: a new approach (2007)
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DOI: 10.1007/s00186-006-0109-x

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