{"id":"https://openalex.org/W2085648025","doi":"https://doi.org/10.1007/bf01753431","title":"Cores of convex games","display_name":"Cores of convex games","publication_year":1971,"publication_date":"1971-12-01","ids":{"openalex":"https://openalex.org/W2085648025","doi":"https://doi.org/10.1007/bf01753431","mag":"2085648025"},"language":"en","primary_location":{"id":"doi:10.1007/bf01753431","doi":"https://doi.org/10.1007/bf01753431","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01753431","pdf_url":null,"source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016437768","display_name":"Lloyd S. Shapley","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1309849503","display_name":"RAND Corporation","ror":"https://ror.org/00f2z7n96","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1309849503"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lloyd S. Shapley","raw_affiliation_strings":["The Rand Corporation, Santa Monica, California","The RAND Corporation, Santa Monica"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Rand Corporation, Santa Monica, California","institution_ids":["https://openalex.org/I1309849503"]},{"raw_affiliation_string":"The RAND Corporation, Santa Monica","institution_ids":["https://openalex.org/I1309849503"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016437768"],"corresponding_institution_ids":["https://openalex.org/I1309849503"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":21.4394,"has_fulltext":false,"cited_by_count":1625,"citation_normalized_percentile":{"value":0.99327066,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"1","issue":"1","first_page":"11","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.00279999990016222,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/core","display_name":"core","score":0.5170000195503235},{"id":"https://openalex.org/keywords/convex-games","display_name":"convex games","score":0.9950000047683716},{"id":"https://openalex.org/keywords/cooperative-games","display_name":"cooperative games","score":0.6869999766349792},{"id":"https://openalex.org/keywords/core-non-emptiness","display_name":"core non-emptiness","score":0.8220000267028809},{"id":"https://openalex.org/keywords/extreme-points","display_name":"extreme points","score":0.6970000267028809},{"id":"https://openalex.org/keywords/von-neumann-morgenstern-stable-sets","display_name":"von Neumann-Morgenstern stable sets","score":0.9459999799728394},{"id":"https://openalex.org/keywords/coalition-formation","display_name":"coalition formation","score":0.42399999499320984}],"concepts":[{"id":"https://openalex.org/C51074407","wikidata":"https://www.wikidata.org/wiki/Q4941364","display_name":"Bondareva\u2013Shapley theorem","level":5,"score":0.8299962878227234},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.6565331220626831},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.5933115482330322},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.5808343887329102},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5460299849510193},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.5203037858009338},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.5197493433952332},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5099881887435913},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.48196789622306824},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4499706029891968},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.44598498940467834},{"id":"https://openalex.org/C6018138","wikidata":"https://www.wikidata.org/wiki/Q332715","display_name":"Absolutely convex set","level":5,"score":0.4384477436542511},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.42236223816871643},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.4079457223415375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3551270663738251},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.32974469661712646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3251844048500061},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.29225730895996094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2854725420475006},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2698707580566406},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0863436758518219},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01753431","doi":"https://doi.org/10.1007/bf01753431","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01753431","pdf_url":null,"source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W572450037","https://openalex.org/W1525820970","https://openalex.org/W1562353621","https://openalex.org/W2008519844","https://openalex.org/W2030355453","https://openalex.org/W2032642145","https://openalex.org/W2033810643","https://openalex.org/W2067594649","https://openalex.org/W2074624294","https://openalex.org/W2099973986","https://openalex.org/W2100658172","https://openalex.org/W2144846366","https://openalex.org/W2258857078","https://openalex.org/W4210507643","https://openalex.org/W4255288880","https://openalex.org/W4285719527","https://openalex.org/W6723425958"],"related_works":["https://openalex.org/W2379830547","https://openalex.org/W2578380588","https://openalex.org/W4288640859","https://openalex.org/W2374624997","https://openalex.org/W2806627627","https://openalex.org/W868123585","https://openalex.org/W2090226889","https://openalex.org/W1989321218","https://openalex.org/W4384694747","https://openalex.org/W2093765879"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":27},{"year":2025,"cited_by_count":49},{"year":2024,"cited_by_count":55},{"year":2023,"cited_by_count":48},{"year":2022,"cited_by_count":49},{"year":2021,"cited_by_count":55},{"year":2020,"cited_by_count":64},{"year":2019,"cited_by_count":57},{"year":2018,"cited_by_count":67},{"year":2017,"cited_by_count":68},{"year":2016,"cited_by_count":63},{"year":2015,"cited_by_count":59},{"year":2014,"cited_by_count":62},{"year":2013,"cited_by_count":63},{"year":2012,"cited_by_count":54}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}