Computations of volumes in five candidates elections

DC ElementWertSprache
dc.contributor.authorBruns, Winfried
dc.contributor.authorIchim, Bogdan
dc.date.accessioned2024-01-04T10:35:56Z-
dc.date.available2024-01-04T10:35:56Z-
dc.date.issued2023
dc.identifier.issn2045-2322
dc.identifier.urihttp://osnascholar.ub.uni-osnabrueck.de/handle/unios/73215-
dc.description.abstractWe describe several analytical (i.e., precise) results obtained in five candidates social choice elections under the assumption of the Impartial Anonymous Culture. These include the Condorcet and Borda paradoxes, as well as the Condorcet efficiency of plurality, negative plurality and Borda voting, including their runoff versions. The computations are done by Normaliz. It finds precise probabilities as volumes of polytopes in dimension 119, using its recent implementation of the Lawrence algorithm.
dc.description.sponsorshipDFG (German Research Foundation) [Br 688/26-1]; Grant of Romanian Ministry of Research, Innovation and Digitization, CNCS/CCCDI - UEFISCDI [PN-III-P4-ID-PCE-2020-0878]; DFG [456666331]; The first author was supported by the DFG (German Research Foundation) Grant Br 688/26-1. The second author was partially supported by a Grant of Romanian Ministry of Research, Innovation and Digitization, CNCS/CCCDI - UEFISCDI, project number PN-III-P4-ID-PCE-2020-0878, within PNCDI III. The high performance cluster of the University of Osnabrueck that made the computations possible was financed by the DFG Grant 456666331. We cordially thank Lars Knipschild, the administrator of the HPC, for his assistance. Our thanks also go to Ulrich von der Ohe for his careful reading of the manuscript.
dc.language.isoen
dc.publisherNATURE PORTFOLIO
dc.relation.ispartofSCIENTIFIC REPORTS
dc.subjectEHRHART SERIES
dc.subjectMultidisciplinary Sciences
dc.subjectPOLYNOMIALS
dc.subjectPROBABILITY-CALCULATIONS
dc.subjectScience & Technology - Other Topics
dc.titleComputations of volumes in five candidates elections
dc.typejournal article
dc.identifier.doi10.1038/s41598-023-39656-8
dc.identifier.isiISI:001050087800006
dc.description.volume13
dc.description.issue1
dc.contributor.orcidhttps://orcid.org/0000-0002-5068-4557
dc.contributor.researcheridB-8283-2011
dc.publisher.placeHEIDELBERGER PLATZ 3, BERLIN, 14197, GERMANY
dcterms.isPartOf.abbreviationSci Rep
dcterms.oaStatusGreen Submitted, gold, Green Published
local.import.remainsaffiliations : University Osnabruck; University of Bucharest; Romanian Academy of Sciences
local.import.remainsweb-of-science-index : Science Citation Index Expanded (SCI-EXPANDED)
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidBrWi827-
Zur Kurzanzeige

Seitenaufrufe

1
Letzte Woche
0
Letzter Monat
0
geprüft am 22.05.2024

Google ScholarTM

Prüfen

Altmetric