IJCAI 2021poster6 citations
Vitality Indices are Equivalent to Induced Game-Theoretic Centralities
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.
Agent-based and Multi-agent Systems: Cooperative GamesAgent-based and Multi-agent Systems: Economic Paradigms, Auctions and Market-Based SystemsMachine Learning Applications: Networks
BibTeX
@inproceedings{ijcai2021p56,
title = {Vitality Indices are Equivalent to Induced Game-Theoretic Centralities},
author = {Skibski, Oskar},
booktitle = {Proceedings of the Thirtieth International Joint Conference on
Artificial Intelligence, {IJCAI-21}},
publisher = {International Joint Conferences on Artificial Intelligence Organization},
editor = {Zhi-Hua Zhou},
pages = {398--404},
year = {2021},
month = {8},
note = {Main Track},
doi = {10.24963/ijcai.2021/56},
url = {https://doi.org/10.24963/ijcai.2021/56},
}