{"type":"ScholarlyArticle","title":"Vitality Indices are Equivalent to Induced Game-Theoretic Centralities","authors":[{"name":"Oskar Skibski","slug":"oskar-skibski","given":"Oskar","family":"Skibski","affiliation":""}],"abstract":"Vitality indices form a class of centrality measures that assess the importance of a node based on the impact its removal has on the network. To date, theoretical analysis of this class is lacking. In this paper, we show that vitality indices can be characterized using the axiom of Balanced Contributions proposed by Myerson in the coalitional game theory literature. We explore the link between both fields and show an equivalence between vitality indices and induced game theoretic centralities based on the Shapley value. Our characterization allows us to easily determine which known centrality measures are vitality indices.","doi":"10.24963/ijcai.2021/56","url":"https://ijcai.org/proceedings/2021/56","pdf":"https://ijcai.org/proceedings/2021/0056.pdf","markdown":"https://ijcai.org/proceedings/2021/56.md","bibtex":"https://ijcai.org/proceedings/2021/bibtex/56","volume":{"slug":"2021","title":"Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2021","url":"https://ijcai.org/proceedings/2021/","year":2021,"location":"Montreal","dates":"19-27 August 2021","editors":"Prof. Zhi-Hua Zhou","isbn":"978-0-9992411-9-6","publisher":"International Joint Conferences on Artificial Intelligence Organization","doi_prefix":"10.24963/ijcai.2021"},"section":"Agent-based and Multi-agent Systems","track":"Main Track","number":56,"pages":{"first":398,"last":404},"keywords":["Agent-based and Multi-agent Systems: Economic Paradigms, Auctions and Market-Based Systems","Agent-based and Multi-agent Systems: Cooperative Games","Machine Learning Applications: Networks"],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}