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Avtomatika i Telemekhanika, 2010, Issue 1, Pages 144–158 (Mi at911)  
This article is cited in 4 scientific papers (total in 4 papers)

Control in Social Economic Systems

Axiomatics for power indices that account for player preferences

D. A. Shvarts

State University, Higher School of Economics, Moscow, Russia
Full-text PDF (239 kB) Citations (4)
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Abstract: We offer a general approach to describing power indices that account for preferences as suggested by F. Aleskerov. We construct two axiomatizations of these indices. Our construction generalizes the Laruelle–Valenciano axioms for Banzhaf (Penrose) and Shapley–Shubik indices. We obtain new sets of axioms for these indices, in particular, sets without the anonymity axiom.
Presented by the member of Editorial Board: F. T. Aleskerov

Received: 05.03.2009
English version:
Automation and Remote Control, 2010, Volume 71, Issue 1, Pages 128–141
DOI: https://doi.org/10.1134/S0005117910010108
Bibliographic databases:
Document Type: Article
PACS: 02.50.Le
Language: Russian
Citation: D. A. Shvarts, “Axiomatics for power indices that account for player preferences”, Avtomat. i Telemekh., 2010, no. 1, 144–158; Autom. Remote Control, 71:1 (2010), 128–141
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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