DC Element | Wert | Sprache |
dc.contributor.author | Bruns, Winfried | |
dc.contributor.author | Ichim, Bogdan | |
dc.contributor.author | Soeger, Christof | |
dc.date.accessioned | 2021-12-23T16:13:46Z | - |
dc.date.available | 2021-12-23T16:13:46Z | - |
dc.date.issued | 2019 | |
dc.identifier.issn | 02545330 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/10739 | - |
dc.description.abstract | We describe several analytical results obtained in four 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 voting with runoff. The computations are done by Normaliz. It finds precise probabilities as volumes of polytopes and counting functions encoded as Ehrhart series of polytopes. | |
dc.description.sponsorship | Romanian Ministry of Research and Innovation, CNCS - UEFISCDI within PNCDI IIIConsiliul National al Cercetarii Stiintifice (CNCS)Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii (UEFISCDI) [PN-III-P4-ID-PCE-2016-0157]; The authors like to thank Achill Schurmann for several test examples that were used during the development of Normaliz. They are also grateful to the anonymous referees for helpful comments. Bogdan Ichim was partially supported by a grant of Romanian Ministry of Research and Innovation, CNCS - UEFISCDI, project number PN-III-P4-ID-PCE-2016-0157, within PNCDI III. | |
dc.language.iso | en | |
dc.publisher | SPRINGER | |
dc.relation.ispartof | ANNALS OF OPERATIONS RESEARCH | |
dc.subject | Borda paradox | |
dc.subject | Condorcet paradox | |
dc.subject | Ehrhart series | |
dc.subject | Operations Research & Management Science | |
dc.subject | POLYNOMIALS | |
dc.subject | PROBABILITY-CALCULATIONS | |
dc.subject | Rational polytope | |
dc.subject | Social choice | |
dc.subject | Volume | |
dc.title | Computations of volumes and Ehrhart series in four candidates elections | |
dc.type | journal article | |
dc.identifier.doi | 10.1007/s10479-019-03152-y | |
dc.identifier.isi | ISI:000483686800011 | |
dc.description.volume | 280 | |
dc.description.issue | 1-2 | |
dc.description.startpage | 241 | |
dc.description.endpage | 265 | |
dc.contributor.orcid | 0000-0002-5068-4557 | |
dc.contributor.researcherid | B-8283-2011 | |
dc.identifier.eissn | 15729338 | |
dc.publisher.place | VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS | |
dcterms.isPartOf.abbreviation | Ann. Oper. Res. | |
dcterms.oaStatus | Green Submitted | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |