The Shapley-Shubik index for multi-criteria simple games

In this paper we address multi-criteria simple games which constitute an extension of the basic framework of voting systems and related social-choice situations. For these games, we propose the extended Shapley-Shubik index as the natural generalization of the Shapley-Shubik index in conventional simple games, and establish an axiomatic characterization of this power index.Multiple criteria analysis Group decision-making Multi-criteria simple games Shapley-Shubik index Voting systems