The Shapley-Shubik index, the donation paradox and ternary games

Vincent C. H. Chua and H. C. Huang

Social Choice and Welfare, 2003, vol. 20, issue 3, 387-403

Abstract: In this paper, we show that although the Shapley-Shubik index is immune to the donation paradox in weighted binary games, extension of the index to ternary games along the direction suggested in Felsenthal and Machover (1996, 1997) will cause it to be vulnerable to the paradox and this is the case as long as the number of players in the game exceeds three. This undermines the attractiveness of the Shapley-Shubik index as a measure of a priori voting power. Copyright Springer-Verlag Berlin Heidelberg 2003

Date: 2003
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DOI: 10.1007/s003550200186

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