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The<jats:inline-formula><jats:alternatives><jats:tex-math>$${\\text {AA}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mtext>AA<\/mml:mtext><\/mml:math><\/jats:alternatives><\/jats:inline-formula>rule is the center of gravity of the core of the coalitional game associated with a claims problem, so it corresponds to the core-center. We show that this rule satisfies a good number of properties so as to be included in the inventory of division rules. We also provide several representations of the<jats:inline-formula><jats:alternatives><jats:tex-math>$${\\text {AA}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mtext>AA<\/mml:mtext><\/mml:math><\/jats:alternatives><\/jats:inline-formula>rule and a procedure to compute it in terms of the parameters that define the problem.<\/jats:p>","DOI":"10.1007\/s00355-022-01414-6","type":"journal-article","created":{"date-parts":[[2022,5,25]],"date-time":"2022-05-25T03:51:43Z","timestamp":1653450703000},"page":"863-888","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["The average-of-awards rule for claims problems"],"prefix":"10.1007","volume":"59","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7247-1926","authenticated-orcid":false,"given":"Miguel \u00c1ngel","family":"Mir\u00e1s Calvo","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2711-1945","authenticated-orcid":false,"given":"Carmen","family":"Quinteiro Sandomingo","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0933-6411","authenticated-orcid":false,"given":"Estela","family":"S\u00e1nchez-Rodr\u00edguez","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,5,25]]},"reference":[{"key":"1414_CR1","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1016\/0022-0531(85)90102-4","volume":"36","author":"RJ Aumann","year":"1985","unstructured":"Aumann RJ, Maschler M (1985) Game theoretic analysis of a bankruptcy problem from the Talmud. 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