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The inverse problem for power distributions in committees

Titelangaben

Kurz, Sascha:
The inverse problem for power distributions in committees.
In: Social Choice and Welfare. Bd. 47 (2016) Heft 1 . - S. 65-88.
ISSN 1432-217X
DOI: https://doi.org/10.1007/s00355-015-0946-8

Abstract

Several power indices have been introduced in the literature in order to measure the influence of individual committee members on an aggregated decision. Here we ask the inverse question and aim to design voting rules for a committee such that a given desired power distribution is met as closely as possible. We generalize the approach of Alon and Edelman who studied power distributions for the Banzhaf index, where most of the power is concentrated on few coordinates. It turned out that each Banzhaf vector of an n-member committee that is near to such a desired power distribution, also has to be near to the Banzhaf vect
or of a k-member committee. We show that such Alon-Edelman type results exist for other power indices like e.g. the Public Good index or the Coleman index to prevent actions, while such results are principally impossible to derive for e.g. the Johnston index.

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Publikationsform: Artikel in einer Zeitschrift
Begutachteter Beitrag: Ja
Keywords: simple games; weighted majority games; power indices
Fachklassifikationen: Mathematics Subject Classification Code: 91B12 (94C10)
Institutionen der Universität: Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut
Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Wirtschaftsmathematik
Profilfelder > Emerging Fields > Governance and Responsibility
Fakultäten
Fakultäten > Fakultät für Mathematik, Physik und Informatik
Profilfelder
Profilfelder > Emerging Fields
Titel an der UBT entstanden: Ja
Themengebiete aus DDC: 000 Informatik,Informationswissenschaft, allgemeine Werke > 004 Informatik
300 Sozialwissenschaften > 320 Politikwissenschaft
500 Naturwissenschaften und Mathematik > 510 Mathematik
Eingestellt am: 28 Jun 2016 06:13
Letzte Änderung: 28 Jun 2016 06:13
URI: https://eref.uni-bayreuth.de/id/eprint/33080