{"type":"ScholarlyArticle","title":"Agreement, Diversity, and Polarization Indices for Approval Elections","authors":[{"name":"Piotr Faliszewski","slug":"piotr-faliszewski","given":"Piotr","family":"Faliszewski","affiliation":""},{"name":"Jitka Mertlová","slug":"jitka-mertlova","given":"Jitka","family":"Mertlová","affiliation":""},{"name":"Krzysztof Sornat","slug":"krzysztof-sornat","given":"Krzysztof","family":"Sornat","affiliation":""},{"name":"Stanisław Szufa","slug":"stanis-aw-szufa","given":"Stanisław","family":"Szufa","affiliation":""},{"name":"Tomasz Wąs","slug":"tomasz-was","given":"Tomasz","family":"Wąs","affiliation":""}],"abstract":"An index is a function that measures the extent to which an election has a particular feature. We seek indices that capture agreement, diversity, and polarization among voters in approval elections, normalized with respect to saturation. The latter means 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 derive a new map of approval elections, and compare various real-life elections from Pabulib, Preflib and other sources.","doi":"10.24963/ijcai.2026/377","url":"https://ijcai.org/proceedings/2026/377","pdf":"https://ijcai.org/proceedings/2026/0377.pdf","markdown":"https://ijcai.org/proceedings/2026/377.md","bibtex":"https://ijcai.org/proceedings/2026/bibtex/377","volume":{"slug":"2026","title":"Proceedings of the Thirty-Fifth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2026","url":"https://ijcai.org/proceedings/2026/","year":2026,"location":"Bremen, Germany","dates":"15-21 August 2026","editors":"Diego Calvanese","isbn":"978-1-956792-09-6","publisher":"International Joint Conferences on Artificial Intelligence Organization","doi_prefix":"10.24963/ijcai.2026"},"section":"Game Theory and Economic Paradigms","track":"Main Track","number":377,"pages":{"first":3393,"last":3401},"keywords":["Game Theory and Economic Paradigms: Computational social choice"],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}