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JOURNALS // Problemy Upravleniya // Archive

Probl. Upr., 2012 Issue 1, Pages 33–41 (Mi pu693)

Control in the socio-economic systems

Axiomatics for the power indices in the weighted games

D. A. Shvarts

National Research University "Higher School of Economics", Moscow

Abstract: A majority of the real voting rules are (or may be written as) voting with a quota (i.e. weighted game). But the axioms for the power indices defined on simple games are not directly transferred to the weighted games, because the operations used there are defined incorrectly in this case. Nevertheless, most of the axiomatics can be adapted for the weighted games. The main goal of this article is to answer the question: how to do it?

UDC: 51-77+316.62+324


 English version:
Control Sciences, 2015, 76:4, 708–720

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© Steklov Math. Inst. of RAS, 2026