Agreement, Diversity, and Polarization Indices for Approval Elections
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866910222069530624 |
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| author | Faliszewski, Piotr Mertlová, Jitka Sornat, Krzysztof Szufa, Stanisław Wąs, Tomasz |
| author_facet | Faliszewski, Piotr Mertlová, Jitka Sornat, Krzysztof Szufa, Stanisław Wąs, Tomasz |
| contents | An index is a function that given an election outputs a value between 0 and 1, indicating the extent to which this election has a particular feature. We seek indices that capture agreement, diversity, and polarization among voters in approval elections, and that are normalized with respect to saturation. By the latter we mean that if two elections differ by the fraction of candidates approved by an average voter, but otherwise are of similar nature, then they should have similar index values. We propose several indices, analyze their properties, and use them to (a) derive a new map of approval elections, and (b) show similarities and differences between various real-life elections from Pabulib, Preflib and other sources. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14983 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Agreement, Diversity, and Polarization Indices for Approval Elections Faliszewski, Piotr Mertlová, Jitka Sornat, Krzysztof Szufa, Stanisław Wąs, Tomasz Computer Science and Game Theory Artificial Intelligence Computers and Society Multiagent Systems An index is a function that given an election outputs a value between 0 and 1, indicating the extent to which this election has a particular feature. We seek indices that capture agreement, diversity, and polarization among voters in approval elections, and that are normalized with respect to saturation. By the latter we mean that if two elections differ by the fraction of candidates approved by an average voter, but otherwise are of similar nature, then they should have similar index values. We propose several indices, analyze their properties, and use them to (a) derive a new map of approval elections, and (b) show similarities and differences between various real-life elections from Pabulib, Preflib and other sources. |
| title | Agreement, Diversity, and Polarization Indices for Approval Elections |
| topic | Computer Science and Game Theory Artificial Intelligence Computers and Society Multiagent Systems |
| url | https://arxiv.org/abs/2605.14983 |