{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T05:59:12Z","timestamp":1774331952344,"version":"3.50.1"},"reference-count":27,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2019,3]]},"abstract":"<jats:p> The aim of this work is to give a characterization of the Shapley\u2013Shubik and the Banzhaf power indices for (3,2)-simple games. We generalize to the set of (3,2)-simple games the classical axioms for power indices on simple games: transfer, anonymity, null player property and efficiency. However, these four axioms are not enough to uniquely characterize the Shapley\u2013Shubik index for (3,2)-simple games. Thus, we introduce a new axiom to prove the uniqueness of the extension of the Shapley\u2013Shubik power index in this context. Moreover, we provide an analogous characterization for the Banzhaf index for (3,2)-simple games, generalizing the four axioms for simple games and adding another property. <\/jats:p>","DOI":"10.1142\/s0219198919400012","type":"journal-article","created":{"date-parts":[[2019,3,14]],"date-time":"2019-03-14T06:55:05Z","timestamp":1552546505000},"page":"1940001","source":"Crossref","is-referenced-by-count":3,"title":["An Axiomatization for Two Power Indices for (3,2)-Simple Games"],"prefix":"10.1142","volume":"21","author":[{"given":"Giulia","family":"Bernardi","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica, Politecnico di Milano, P.zza Leonardo da Vinci, 32, Milano, 20133, Italy"}]},{"given":"Josep","family":"Freixas","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Escola Polit\u00e8cnica Superior d\u2019Enginyeria de Manresa, Universitat Polit\u00e8cnica de Catalunya, Av. 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