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Furthermore, we define the notion of the core of a hypergraph situation. By means of an example, we also show that the Myerson value and the position value can lie in the core of a hypergraph situation. <\/jats:p>","DOI":"10.1142\/s021919892350007x","type":"journal-article","created":{"date-parts":[[2023,2,3]],"date-time":"2023-02-03T08:28:24Z","timestamp":1675412904000},"source":"Crossref","is-referenced-by-count":2,"title":["Axiomatization and Core Stability of Allocation Rules for Hypergraph Situations"],"prefix":"10.1142","volume":"25","author":[{"given":"Nathalie","family":"Jorzik","sequence":"first","affiliation":[{"name":"Alfred-Weber-Institute, University of Heidelberg, Grabengasse 14, Heidelberg 69117, Germany"}]}],"member":"219","published-online":{"date-parts":[[2023,3,18]]},"reference":[{"key":"S021919892350007XBIB001","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1007\/s001860000060","volume":"52","author":"Algaba E.","year":"2000","journal-title":"Math. 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