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Average weights and power in weighted voting games
random weighted voting games
voting power
Penrose-Banzhaf index
Coleman efficiency index
order statistics
We investigate a class of weighted voting games for which weights are randomly distributed over the standard probability simplex. We provide close-formed formulae for the expectation and density of the distribution of weight of the
cris.lastimport.scopus | 2024-04-07T16:57:53Z | |
cris.lastimport.wos | 2024-04-09T22:42:27Z | |
dc.abstract.en | We investigate a class of weighted voting games for which weights are randomly distributed over the standard probability simplex. We provide close-formed formulae for the expectation and density of the distribution of weight of the $k$-th largest player under the uniform distribution. We analyze the average voting power of the $k$-th largest player and its dependence on the quota, obtaining analytical and numerical results for small values of $n$ and a general theorem about the functional form of the relation between the average Penrose-Banzhaf power index and the quota for the uniform measure on the simplex. We also analyze the power of a collectivity to act (Coleman efficiency index) of random weighted voting games, obtaining analytical upper bounds therefor. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej | pl |
dc.affiliation | Wydział Studiów Międzynarodowych i Politycznych : Instytut Nauk Politycznych i Stosunków Międzynarodowych | pl |
dc.affiliation | Wydział Matematyki i Informatyki : Instytut Matematyki | pl |
dc.affiliation | Wydział Matematyki i Informatyki | pl |
dc.contributor.author | Boratyn, Daria - 201090 | pl |
dc.contributor.author | Kirsch, Werner | pl |
dc.contributor.author | Słomczyński, Wojciech - 131931 | pl |
dc.contributor.author | Stolicki, Dariusz - 149808 | pl |
dc.contributor.author | Życzkowski, Karol - 132981 | pl |
dc.date.accession | 2020-11-13 | pl |
dc.date.accessioned | 2020-11-13T14:31:37Z | |
dc.date.available | 2020-11-13T14:31:37Z | |
dc.date.issued | 2020 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.physical | 90-99 | pl |
dc.description.version | oryginalna wersja autorska (preprint) | |
dc.description.volume | 108 | pl |
dc.identifier.doi | 10.1016/j.mathsocsci.2020.04.002 | pl |
dc.identifier.eissn | 1879-3118 | pl |
dc.identifier.issn | 0165-4896 | pl |
dc.identifier.project | ROD UJ / OP | pl |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/253793 | |
dc.identifier.weblink | https://arxiv.org/abs/1905.04261v3 | pl |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.participation | Życzkowski, Karol: 20%; Stolicki, Dariusz: 20%; Słomczyński, Wojciech: 20%; | pl |
dc.pbn.affiliation | Dziedzina nauk ścisłych i przyrodniczych : matematyka | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
dc.rights.licence | OTHER | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
dc.share.type | inne | |
dc.subject.en | random weighted voting games | pl |
dc.subject.en | voting power | pl |
dc.subject.en | Penrose-Banzhaf index | pl |
dc.subject.en | Coleman efficiency index | pl |
dc.subject.en | order statistics | pl |
dc.subtype | Article | pl |
dc.title | Average weights and power in weighted voting games | pl |
dc.title.journal | Mathematical Social Sciences | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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Except as otherwise noted, this item is licensed under the Attribution 4.0 International licence