{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:10:58Z","timestamp":1753884658254,"version":"3.41.2"},"reference-count":14,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2023,3]]},"abstract":"<jats:p> This paper presents an axiomatic characterization of the Aumann\u2013Dr\u00e8ze value [Aumann, R. J. and Dr\u00e8ze, J. H. [1974] Cooperative games with coalition structures, Int. J. Game Theory 3, 217\u2013237] for cooperative games with coalition structures. We build an associated game that extends the original associated game presented by Hamiache [[2001] Associated consistency and Shapley value, Int. J. Game Theory 30, 279\u2013289] to cooperative games with coalition structures. We use a similar approach to the one used in Hamiache and Navarro [[2020] Associated consistency, value and graphs, Int. J. Game Theory 49, 227\u2013249]. This new associated game is expressed through a matrix form. We show that the series of successive associated games is convergent and that its limit is an inessential game. This allows us to propose a characterization of the Aumann\u2013Dr\u00e8ze value that relies on associated consistency, inessential game and continuity axioms. Hence, this paper strengthens the results of Hamiache [[2001] Associated consistency and Shapley value, Int. J. Game Theory 30, 279\u2013289] and Hamiache and Navarro [[2020] Associated consistency, value and graphs, Int. J. Game Theory 49, 227\u2013249] considering that if these axioms are viewed as desirable, we are now able to provide a unique value for three different types of problems: the Shapley value on standard games [Hamiache, G. [2001] Associated consistency and Shapley value, Int. J. Game Theory 30, 279\u2013289], the Hamiache\u2013Navarro value on games with graphs [Hamiache, G. and Navarro, F. [2020] Associated consistency, value and graphs, Int. J. Game Theory 49, 227\u2013249] and the Aumann\u2013Dr\u00e8ze value for games with coalition structures. <\/jats:p>","DOI":"10.1142\/s0219198922500189","type":"journal-article","created":{"date-parts":[[2022,6,4]],"date-time":"2022-06-04T15:38:42Z","timestamp":1654357122000},"source":"Crossref","is-referenced-by-count":0,"title":["Associated Consistency and the Aumann\u2013Dr\u00e8ze Value"],"prefix":"10.1142","volume":"25","author":[{"given":"Florian","family":"Navarro","sequence":"first","affiliation":[{"name":"Groupe de Recherche Angevin en Economie et Management (GRANEM), SFR Confluences, Universit\u00e9 d\u2019Angers, F-49000 Angers, France"}]}],"member":"219","published-online":{"date-parts":[[2022,7,11]]},"reference":[{"key":"S0219198922500189BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/BF01766876"},{"key":"S0219198922500189BIB002","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1007\/s00182-010-0222-1","volume":"39","author":"Driessen T. S. 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