Computations of volumes in five candidates elections
Please use this identifier to cite or link to this item:
https://doi.org/10.48693/518
https://doi.org/10.48693/518
| Title: | Computations of volumes in five candidates elections |
| Authors: | Bruns, Winfried Ichim, Bogdan |
| ORCID of the author: | https://orcid.org/0000-0002-5068-4557 |
| 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. |
| Citations: | Bruns, W., Ichim, B.: Computations of volumes in five candidates elections. Sci Rep 13, 13266 (2023). |
| URL: | https://doi.org/10.48693/518 https://osnadocs.ub.uni-osnabrueck.de/handle/ds-2024022810935 |
| Subject Keywords: | Computational science; Software |
| Issue Date: | 15-Aug-2023 |
| License name: | Attribution 4.0 International |
| License url: | http://creativecommons.org/licenses/by/4.0/ |
| Type of publication: | Einzelbeitrag in einer wissenschaftlichen Zeitschrift [Article] |
| Appears in Collections: | FB06 - Hochschulschriften Open-Access-Publikationsfonds |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Buns_Ichim_Scientific-Reports_13-13266_2023.pdf | Article | 1,33 MB | Adobe PDF | Buns_Ichim_Scientific-Reports_13-13266_2023.pdf  View/Open |
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