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Minimizing the mean majority deficit : the second square-root rule

Felsenthal, Dan S. and Machover, Moshé (1999) Minimizing the mean majority deficit : the second square-root rule. Mathematical Social Sciences, 37 (1). pp. 25-37. ISSN 0165-4896

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Abstract

Let W be a composite (two-tier) simple voting game (SVG) consisting of a council, making yes/no decisions, whose members are delegates, each voting according to the majority view in his/her district. The council’s decision rule is an arbitrary SVG V. The mean majority deficit ∆[W] is the mean difference between the size of the majority camp among all citizens and the number of citizens who agree with the council’s decision. Minimizing ∆[W] is equivalent to maximizing the sum of the voting powers of all the citizens, as measured by the (absolute) Banzhaf index β'. We determine the V which minimize ∆[W]. We discuss the difference between majoritarianism and equalization of the voting powers of all citizens.

Item Type: Article
Official URL: http://www.elsevier.com/locate/mss
Additional Information: Published 1999 © Elsevier Science BV. LSE has developed LSE Research Online so that users may access research output of the School. Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Users may download and/or print one copy of any article(s) in LSE Research Online to facilitate your private study or for non-commercial research. You may not engage in further distribution of the material or use it for any profit-making activities or any commercial gain. You may freely distribute the URL (http://eprints.lse.ac.uk) of the LSE Research Online website.
Library of Congress subject classification: Q Science > QA Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: Published item via DOI
Date Deposited: 06 Oct 2005
URL: http://eprints.lse.ac.uk/400/

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