V. P. Akimov, W. Kerby, “Values for cooperative games. The generalization of Shapley's uniqueness theorem”, Artificial Intelligence and Decision Making, 2010, Issue 4,Pages <nobr>77

Decision analysis

Values for cooperative games. The generalization of Shapley's uniqueness theorem

V. P. Akimov^a, W. Kerby^b

^a Moscow State Institute of International Relations (University) of the Ministry for Foreign Affairs of Russia
^b The University of Hamburg

Abstract: Introducing axiomatically values for cooperative games, Shapley proved there uniqueness. It is shown in the article, that varying affectivity axiom by definite way, one can get different values which are also unique. The generalized uniqueness theorem proved.

Keywords: cooperative games, Shapley values.