{"id":"https://openalex.org/W2040433374","doi":"https://doi.org/10.1142/s0129054102001357","title":"LINEAR AND INTEGER PROGRAMMING TECHNIQUES FOR COOPERATIVE GAMES","display_name":"LINEAR AND INTEGER PROGRAMMING TECHNIQUES FOR COOPERATIVE GAMES","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2040433374","doi":"https://doi.org/10.1142/s0129054102001357","mag":"2040433374"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054102001357","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054102001357","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},"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/A5109498871","display_name":"Qizhi Fang","orcid":null},"institutions":[{"id":"https://openalex.org/I59028903","display_name":"Ocean University of China","ror":"https://ror.org/04rdtx186","country_code":"CN","type":"education","lineage":["https://openalex.org/I59028903"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qizhi Fang","raw_affiliation_strings":["Department of Mathematics,  Ocean University of Qingdao, Qingdao 266071, Shandong, P. R. China","Department of Mathematics, Ocean University of Qingdao, Qingdao 266071, Shandong, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics,  Ocean University of Qingdao, Qingdao 266071, Shandong, P. R. China","institution_ids":["https://openalex.org/I59028903"]},{"raw_affiliation_string":"Department of Mathematics, Ocean University of Qingdao, Qingdao 266071, Shandong, P. R. China","institution_ids":["https://openalex.org/I59028903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045866167","display_name":"Shanfeng Zhu","orcid":"https://orcid.org/0000-0002-6067-5312"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Shanfeng Zhu","raw_affiliation_strings":["Department of Computer Science,  City University of Hong Kong, Hong Kong, P. R. China","Department of Computer Science, City University of Hong Kong, Hong Kong, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science,  City University of Hong Kong, Hong Kong, P. R. China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong, P. R. China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9991,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.86632367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"13","issue":"05","first_page":"653","last_page":"666"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9972000122070312,"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":0.9915000200271606,"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/core","display_name":"Core (optical fiber)","score":0.8006551861763},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.7381619215011597},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.7276694178581238},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5514053106307983},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5349423289299011},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5150351524353027},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5039610266685486},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5031117796897888},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4836357831954956},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.48026299476623535},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.47632652521133423},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44899600744247437},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4381200075149536},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4297518730163574},{"id":"https://openalex.org/keywords/cooperative-game-theory","display_name":"Cooperative game theory","score":0.41606777906417847},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.392054945230484},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37978827953338623},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3346444368362427},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11447775363922119},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07147455215454102}],"concepts":[{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.8006551861763},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.7381619215011597},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.7276694178581238},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5514053106307983},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5349423289299011},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5150351524353027},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5039610266685486},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5031117796897888},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4836357831954956},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.48026299476623535},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.47632652521133423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44899600744247437},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4381200075149536},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4297518730163574},{"id":"https://openalex.org/C2781416736","wikidata":"https://www.wikidata.org/wiki/Q105354050","display_name":"Cooperative game theory","level":3,"score":0.41606777906417847},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.392054945230484},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37978827953338623},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3346444368362427},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11447775363922119},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07147455215454102},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054102001357","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054102001357","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1966848756","https://openalex.org/W1982104453","https://openalex.org/W1995443028","https://openalex.org/W1998462138","https://openalex.org/W1998788558","https://openalex.org/W2002430844","https://openalex.org/W2003565164","https://openalex.org/W2020586530","https://openalex.org/W2026745519","https://openalex.org/W2028847614","https://openalex.org/W2032534281","https://openalex.org/W2060444450","https://openalex.org/W2064699170","https://openalex.org/W2103745612","https://openalex.org/W2113370239","https://openalex.org/W2124174877","https://openalex.org/W2171103562","https://openalex.org/W4210953350"],"related_works":["https://openalex.org/W1991078291","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W1496195681","https://openalex.org/W1894585900","https://openalex.org/W3116484972","https://openalex.org/W2941986668","https://openalex.org/W3123475175","https://openalex.org/W4232431455"],"abstract_inverted_index":{"Let":[0],"\u0393":[1],"=":[2],"(N,":[3],"v)":[4],"be":[5],"a":[6,76],"cooperative":[7,60],"game":[8,27,61],"with":[9],"the":[10,26,30,44,56,67,73],"player":[11],"set":[12],"N":[13,20],"and":[14,85],"value":[15],"function":[16],"v":[17],":":[18],"2":[19],"\u2192":[21],"R.":[22],"A":[23],"solution":[24],"of":[25,35,47,72],"is":[28,75],"in":[29,90],"core":[31,74],"if":[32],"no":[33],"subset":[34],"players":[36],"could":[37],"gain":[38],"advantage":[39],"by":[40],"breaking":[41],"away":[42],"from":[43],"grand":[45],"coalition":[46],"all":[48],"players.":[49],"This":[50],"paper":[51],"surveys":[52],"theoretical":[53],"results":[54,64],"on":[55,83],"cores":[57],"for":[58],"some":[59],"models.":[62],"These":[63],"proved":[65],"that":[66],"linear":[68,84],"program":[69],"duality":[70],"characterization":[71],"very":[77],"powerful":[78],"tool.":[79],"We":[80],"will":[81],"focus":[82],"integer":[86],"programming":[87],"techniques":[88],"applied":[89],"this":[91],"area.":[92]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
