The Shapley‐Shubik index for multi-criteria simple games

The Shapley‐Shubik index for multi-criteria simple games

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Article ID: iaor20108326
Volume: 209
Issue: 2
Start Page Number: 122
End Page Number: 128
Publication Date: Mar 2011
Journal: European Journal of Operational Research
Authors: ,
Keywords: Shapley value
Abstract:

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.

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