{"id":"https://openalex.org/W2124792192","doi":"https://doi.org/10.1007/s00182-009-0216-z","title":"A note on the nucleolus for 2-convex TU games","display_name":"A note on the nucleolus for 2-convex TU games","publication_year":2009,"publication_date":"2009-12-21","ids":{"openalex":"https://openalex.org/W2124792192","doi":"https://doi.org/10.1007/s00182-009-0216-z","mag":"2124792192"},"language":"en","primary_location":{"id":"doi:10.1007/s00182-009-0216-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-009-0216-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-009-0216-z.pdf","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,"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00182-009-0216-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004321871","display_name":"Theo Driessen","orcid":null},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Theo S. H. Driessen","raw_affiliation_strings":["Faculty of Electrical Engineering, Mathematics and Computer Science, Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","Univ. of Twente#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Mathematics and Computer Science, Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"Univ. of Twente#TAB#","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002954684","display_name":"Dongshuang Hou","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongshuang Hou","raw_affiliation_strings":["Department of Applied Mathematics, Northwestern Polytechnical University, Xian, Shaanxi, China","Northwestern Polytechnical Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xian, Shaanxi, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Northwestern Polytechnical Univ","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004321871"],"corresponding_institution_ids":["https://openalex.org/I94624287"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":{"value":3190,"currency":"USD","value_usd":3190},"fwci":2.6931,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.92891517,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"39","issue":"1-2","first_page":"185","last_page":"189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11182","display_name":"Auction Theory and Applications","score":0.9944999814033508,"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/T11031","display_name":"Game Theory and Applications","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7091729640960693},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.6591084003448486},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6580268144607544},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5891596674919128},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5747575163841248},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.564464271068573},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.4979422092437744},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4880167543888092},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3726661801338196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2055206596851349},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15581566095352173},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12045109272003174},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.06418591737747192},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.063880056142807}],"concepts":[{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7091729640960693},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.6591084003448486},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6580268144607544},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5891596674919128},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5747575163841248},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.564464271068573},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.4979422092437744},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4880167543888092},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3726661801338196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2055206596851349},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15581566095352173},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12045109272003174},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.06418591737747192},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.063880056142807},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00182-009-0216-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-009-0216-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-009-0216-z.pdf","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,"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},{"id":"pmh:oai:ris.utwente.nl:openaire/aba5557d-9bba-4d5b-a680-02d800bf4056","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/aba5557d-9bba-4d5b-a680-02d800bf4056","pdf_url":"https://ris.utwente.nl/ws/files/210004476/Driessen2009note.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Driessen, T & Hou, D 2010, 'A note on the nucleolus for 2-convex TU games', International journal of game theory, vol. 39, no. 1-2, pp. 185-189. https://doi.org/10.1007/s00182-009-0216-z","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:jogath:v:39:y:2010:i:1:p:185-189","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00182-009-0216-z","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00182-009-0216-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-009-0216-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-009-0216-z.pdf","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,"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2124792192.pdf","grobid_xml":"https://content.openalex.org/works/W2124792192.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W579746981","https://openalex.org/W1544949675","https://openalex.org/W2081802905","https://openalex.org/W2133953743","https://openalex.org/W2736776396"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2942366970","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W4372354731","https://openalex.org/W2562400057","https://openalex.org/W1692008701","https://openalex.org/W2597588799","https://openalex.org/W4360593462","https://openalex.org/W3107994849"],"abstract_inverted_index":{"For":[0],"2-convex":[1],"n":[2],"-person":[3],"cooperative":[4],"TU":[5],"games,":[6],"the":[7,31,34,37,43,64],"nucleolus":[8],"is":[9,21,56],"determined":[10],"as":[11],"some":[12],"type":[13],"of":[14,33,53],"constrained":[15],"equal":[16],"award":[17],"rule.":[18],"Its":[19],"proof":[20],"based":[22],"on":[23],"Maschler,":[24],"Peleg,":[25],"and":[26,58],"Shapley\u2019s":[27],"geometrical":[28],"characterization":[29],"for":[30],"intersection":[32],"prekernel":[35],"with":[36,63],"core.":[38],"Pairwise":[39],"bargaining":[40],"ranges":[41],"within":[42],"core":[44],"are":[45],"required":[46],"to":[47],"be":[48],"in":[49],"equilibrium.":[50],"This":[51],"system":[52],"non-linear":[54],"equations":[55],"solved":[57],"its":[59],"unique":[60],"solution":[61],"agrees":[62],"nucleolus.":[65]},"counts_by_year":[{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}