{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,21]],"date-time":"2026-01-21T17:16:59Z","timestamp":1769015819931,"version":"3.49.0"},"publisher-location":"California","reference-count":0,"publisher":"International Joint Conferences on Artificial Intelligence Organization","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,8]]},"abstract":"<jats:p>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\u00a0ordinal Banzhaf solution\u00a0by means of a set of properties inspired from those used to axiomatically characterize another solution from the literature: the\u00a0ceteris paribus\u00a0majority. 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.<\/jats:p>","DOI":"10.24963\/ijcai.2019\/54","type":"proceedings-article","created":{"date-parts":[[2019,7,28]],"date-time":"2019-07-28T03:46:05Z","timestamp":1564285565000},"page":"378-384","source":"Crossref","is-referenced-by-count":14,"title":["An Ordinal Banzhaf Index for Social Ranking"],"prefix":"10.24963","author":[{"given":"Hossein","family":"Khani","sequence":"first","affiliation":[{"name":"Universit \u0301e Paris-Dauphine, PSL Research University, CNRS, LAMSADE, Place du Mar \u0301echal de Lattrede Tassigny, F-75775 Paris cedex 16, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefano","family":"Moretti","sequence":"additional","affiliation":[{"name":"Universit \u0301e Paris-Dauphine, PSL Research University, CNRS, LAMSADE, Place du Mar \u0301echal de Lattrede Tassigny, F-75775 Paris cedex 16, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Meltem","family":"\u00d6zt\u00fcrk","sequence":"additional","affiliation":[{"name":"Universit \u0301e Paris-Dauphine, PSL Research University, CNRS, LAMSADE, Place du Mar \u0301echal de Lattrede Tassigny, F-75775 Paris cedex 16, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"10584","event":{"name":"Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}","theme":"Artificial Intelligence","location":"Macao, China","acronym":"IJCAI-2019","number":"28","sponsor":["International Joint Conferences on Artificial Intelligence Organization (IJCAI)"],"start":{"date-parts":[[2019,8,10]]},"end":{"date-parts":[[2019,8,16]]}},"container-title":["Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence"],"original-title":[],"deposited":{"date-parts":[[2019,7,28]],"date-time":"2019-07-28T03:46:29Z","timestamp":1564285589000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ijcai.org\/proceedings\/2019\/54"}},"subtitle":[],"proceedings-subject":"Artificial Intelligence Research Articles","short-title":[],"issued":{"date-parts":[[2019,8]]},"references-count":0,"URL":"https:\/\/doi.org\/10.24963\/ijcai.2019\/54","relation":{},"subject":[],"published":{"date-parts":[[2019,8]]}}}