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The value is based on the idea that within a union of players, worth should be distributed based on the solidarity principle. Specifically, we propose a two-step Shapley-solidarity value, in which the surplus of a union\u2019s Shapley value in the quotient game is distributed equally among the union\u2019s members, and players obtain the solidarity value of the respective subgame within their union. We provide an intuitive procedural characterization for this value and give three axiomatizations to pinpoint the differences to comparable values.<\/jats:p>","DOI":"10.1007\/s00291-022-00694-9","type":"journal-article","created":{"date-parts":[[2022,10,17]],"date-time":"2022-10-17T16:03:01Z","timestamp":1666022581000},"page":"1-25","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Two-step Shapley-solidarity value for cooperative games with coalition structure"],"prefix":"10.1007","volume":"45","author":[{"given":"Rong","family":"Zou","sequence":"first","affiliation":[]},{"given":"Wenzhong","family":"Li","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4223-2435","authenticated-orcid":false,"given":"Marc","family":"Uetz","sequence":"additional","affiliation":[]},{"given":"Genjiu","family":"Xu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,10,17]]},"reference":[{"key":"694_CR1","doi-asserted-by":"publisher","first-page":"672","DOI":"10.1007\/s11750-020-00553-2","volume":"28","author":"JM Alonso-Meijide","year":"2020","unstructured":"Alonso-Meijide JM, Costa J, Garc\u00eda-Jurado I, Gonalves-Dosantos JC (2020) On egalitarian values for cooperative games with a priori unions. 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