Computations of volumes in five candidates elections

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,...

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Detalles Bibliográficos
Autores principales: Bruns, Winfried, Ichim, Bogdan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10427648/
https://www.ncbi.nlm.nih.gov/pubmed/37582840
http://dx.doi.org/10.1038/s41598-023-39656-8
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author Bruns, Winfried
Ichim, Bogdan
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Ichim, Bogdan
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description 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.
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spelling pubmed-104276482023-08-17 Computations of volumes in five candidates elections Bruns, Winfried Ichim, Bogdan Sci Rep Article 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. Nature Publishing Group UK 2023-08-15 /pmc/articles/PMC10427648/ /pubmed/37582840 http://dx.doi.org/10.1038/s41598-023-39656-8 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Bruns, Winfried
Ichim, Bogdan
Computations of volumes in five candidates elections
title Computations of volumes in five candidates elections
title_full Computations of volumes in five candidates elections
title_fullStr Computations of volumes in five candidates elections
title_full_unstemmed Computations of volumes in five candidates elections
title_short Computations of volumes in five candidates elections
title_sort computations of volumes in five candidates elections
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10427648/
https://www.ncbi.nlm.nih.gov/pubmed/37582840
http://dx.doi.org/10.1038/s41598-023-39656-8
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