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Avtomatika i Telemekhanika, 2011, Issue 3, Pages 145–160 (Mi at1495)  
Intellectual Control Systems

Power Index axiomatics in the problem of voting with quota

M. V. Batsyn, V. A. Kalyagin

State University, Higher School of Economics, Nizhni Novgorod Branch, Nizhni Novgorod, Russia
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Abstract: An axiomatics of power indices in voting with quota was proposed. It relies on the additivity and dictator axioms. Established was an important property that the player's power index is representable as the sum of contributions of the coalitions in which it is a pivot member. The coalition contributions are independent of the players' weights or the quota. The general theorem of power index representation and the theorem of representation for a power index of anonymous players were formulated and proved.
Presented by the member of Editorial Board: F. T. Aleskerov

Received: 05.10.2009
English version:
Automation and Remote Control, 2011, Volume 72, Issue 3, Pages 600–614
DOI: https://doi.org/10.1134/S0005117911030106
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Batsyn, V. A. Kalyagin, “Power Index axiomatics in the problem of voting with quota”, Avtomat. i Telemekh., 2011, no. 3, 145–160; Autom. Remote Control, 72:3 (2011), 600–614
Citation in format AMSBIB
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