Computations of volumes in five candidates elections
DC Element | Wert | Sprache |
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dc.contributor.author | Bruns, Winfried | |
dc.contributor.author | Ichim, Bogdan | |
dc.date.accessioned | 2024-01-04T10:35:56Z | - |
dc.date.available | 2024-01-04T10:35:56Z | - |
dc.date.issued | 2023 | |
dc.identifier.issn | 2045-2322 | |
dc.identifier.uri | http://osnascholar.ub.uni-osnabrueck.de/handle/unios/73215 | - |
dc.description.abstract | We 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.sponsorship | DFG (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.iso | en | |
dc.publisher | NATURE PORTFOLIO | |
dc.relation.ispartof | SCIENTIFIC REPORTS | |
dc.subject | EHRHART SERIES | |
dc.subject | Multidisciplinary Sciences | |
dc.subject | POLYNOMIALS | |
dc.subject | PROBABILITY-CALCULATIONS | |
dc.subject | Science & Technology - Other Topics | |
dc.title | Computations of volumes in five candidates elections | |
dc.type | journal article | |
dc.identifier.doi | 10.1038/s41598-023-39656-8 | |
dc.identifier.isi | ISI:001050087800006 | |
dc.description.volume | 13 | |
dc.description.issue | 1 | |
dc.contributor.orcid | https://orcid.org/0000-0002-5068-4557 | |
dc.contributor.researcherid | B-8283-2011 | |
dc.publisher.place | HEIDELBERGER PLATZ 3, BERLIN, 14197, GERMANY | |
dcterms.isPartOf.abbreviation | Sci Rep | |
dcterms.oaStatus | Green Submitted, gold, Green Published | |
local.import.remains | affiliations : University Osnabruck; University of Bucharest; Romanian Academy of Sciences | |
local.import.remains | web-of-science-index : Science Citation Index Expanded (SCI-EXPANDED) | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |
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geprüft am 22.05.2024