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JOURNALS // Artificial Intelligence and Decision Making // Archive

Artificial Intelligence and Decision Making, 2015 Issue 1, Pages 18–26 (Mi iipr311)

Methods of reasoning and knowledge representation

Classical power indices splitting

V. P. Akimov

Moscow State Institute of International Relations

Abstract: Power index method is a major method for voting power measuring. The most popular power indices are Shapley–Subik and Banzhaf ones. Both indices have self-duality property: pushing and blocking powers are equal to each other. The natural approach is suggested for splitting power indices into not symmetric components. Splitting of Shapley–Subik and Banzhaf indices are considered.

Keywords: Shapley values, power indices, Shapley–Subik and Banzhaf indices.



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