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Weaker or stronger equilibrium notions can be defined by considering various restrictions on coalition formation. For instance, in a Nash equilibrium, it is assumed that viable coalitions are singletons, and in a super strong equilibrium, it is assumed that every coalition is viable. Restrictions on coalition formation can be justified by communication limitations, coordination problems, or institutional constraints. In this paper, inspired by social structures in various real-life scenarios, we introduce certain restrictions on coalition formation, and on their basis, we introduce a number of equilibrium notions. As an application, we study our equilibrium notions in resource selection games (RSGs), and we present a complete set of existence and nonexistence results for general RSGs and their important special cases.<\/jats:p>","DOI":"10.1017\/s0960129522000214","type":"journal-article","created":{"date-parts":[[2022,7,29]],"date-time":"2022-07-29T09:44:06Z","timestamp":1659087846000},"page":"216-239","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":0,"title":["On existence of equilibrium under social coalition structures"],"prefix":"10.1017","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4647-205X","authenticated-orcid":false,"given":"Bugra","family":"Caskurlu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"\u00d6zg\u00fcn","family":"Ekici","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fatih Erdem","family":"Kizilkaya","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2022,7,29]]},"reference":[{"key":"S0960129522000214_ref3","first-page":"287","article-title":"Acceptable points in general cooperative n-person games","volume":"4","author":"Aumann","year":"1959","journal-title":"Contributions to the Theory of Games"},{"key":"S0960129522000214_ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s11238-013-9357-4"},{"volume-title":"International Workshop on Internet and Network Economics","year":"2008","author":"Ashlagi","key":"S0960129522000214_ref2"},{"key":"S0960129522000214_ref4","doi-asserted-by":"publisher","DOI":"10.2307\/2298107"},{"key":"S0960129522000214_ref10","unstructured":"Hoefer, M. , Penn, M. , Polukarov, M. , Skopalik, A. and V\u00f6cking, B. 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