The likelihood of choosing the Borda-winner with partial preference rankings of the electorate

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dc.contributor.authorGiritligil, Ayça Ebru
dc.date.accessioned2021-06-17T06:57:29Z
dc.date.available2021-06-17T06:57:29Z
dc.date.issued2011-05
dc.description.abstractGiven that n voters report only the first r (1 ? r < m) ranks of their linear preference rankings over m alternatives, the likelihood of implementing Borda outcome is investigated. The information contained in the first r ranks is aggregated through a Borda-like method, namely the r-Borda rule. Monte-Carlo simulations are run to detect changes in the likelihood of r-Borda winner(s) to coincide with the original Borda winner(s) as a function of m, n and r. The voters' preferences are generated through the Impartial Anonymous and Neutral Culture Model, where both the names of the alternatives and voters are immaterial. It is observed that, for a given r, the likelihood of choosing the Borda winner decreases down to zero independent of n as m increases within the computed range of parameter values, 1 ? m, n ? 30. For n = 30, this likelihood is given as an approximating function of r and m through least square fit method. © 2011 JMASM, Inc.en_US
dc.fullTextLevelFull Texten_US
dc.identifier.doi10.22237/jmasm/1304224260
dc.identifier.issn1538-9472
dc.identifier.scopus2-s2.0-84864310131en_US
dc.identifier.urihttps://hdl.handle.net/11411/3809
dc.identifier.urihttps://doi.org/10.22237/jmasm/1304224260
dc.identifier.wosWOS:000415509600031en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.issue1en_US
dc.language.isoenen_US
dc.nationalInternationalen_US
dc.numberofauthors2en_US
dc.pages349 - 361en_US
dc.publisherWayne State Universityen_US
dc.relation.ispartofJournal of Modern Applied Statistical Methodsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBorda ruleen_US
dc.subjectImpartial anonymousen_US
dc.subjectNeutral cultureen_US
dc.subjectr-Borda ruleen_US
dc.titleThe likelihood of choosing the Borda-winner with partial preference rankings of the electorate
dc.typeArticle
dc.volume10en_US

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