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We show that the set of core allocations can be characterized with three axioms: <jats:italic>additivity<\/jats:italic>, <jats:italic>null team<\/jats:italic> and <jats:italic>monotonicity<\/jats:italic>. We also show that the Shapley value can be characterized with <jats:italic>additivity<\/jats:italic>, <jats:italic>equal treatment of equals<\/jats:italic> and <jats:italic>core selection<\/jats:italic>.<\/jats:p>","DOI":"10.1007\/s00182-024-00894-3","type":"journal-article","created":{"date-parts":[[2024,4,25]],"date-time":"2024-04-25T09:01:46Z","timestamp":1714035706000},"page":"977-988","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Axiomatic characterizations of the core and the Shapley value of the broadcasting game"],"prefix":"10.1007","volume":"53","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2592-5213","authenticated-orcid":false,"given":"Gustavo","family":"Berganti\u00f1os","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7288-8596","authenticated-orcid":false,"given":"Juan D.","family":"Moreno-Ternero","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,4,25]]},"reference":[{"key":"894_CR1","doi-asserted-by":"crossref","unstructured":"Alcalde-Unzu J, Gallo O, Inarra E, Moreno-Ternero JD (2024) Solidarity to achieve stability. 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