An Ordinal Banzhaf Index for Social Ranking
Khani, Hossein; Moretti, Stefano; Ozturk, Meltem (2019), An Ordinal Banzhaf Index for Social Ranking, in Sarit Kraus, Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence (IJCAI 2019), IJCAI, p. 378-384. 10.24963/ijcai.2019/54
TypeCommunication / Conférence
Conference titleTwenty-Eighth International Joint Conference on Artificial Intelligence (IJCAI 2019)
Book titleProceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence (IJCAI 2019)
Book authorSarit Kraus
MetadataShow full item record
Abstract (EN)We introduce a new method to rank single elements given an order over their sets. For this purpose, we extend the game theoretic notion of marginal contribution and of Banzhaf index to our ordinal framework. Furthermore, we characterize the resulting ordinal Banzhaf solution by means of a set of properties inspired from those used to axiomatically characterize another solution from the literature: the ceteris paribus majority. Finally, we show that the computational procedure for these two social ranking solutions boils down to a weighted combination of comparisons over the same subsets of elements.
Subjects / KeywordsAgent-based and Multi-agent Systems; Cooperative Games; Social Choice; Voting
Showing items related by title and author.
Allouche, Tahar; Escoffier, Bruno; Moretti, Stefano; Ozturk, Meltem (2020) Communication / Conférence