{"id":"https://openalex.org/W2010226763","doi":"https://doi.org/10.1057/palgrave.jors.2601006","title":"A game theoretical model of DEA efficiency","display_name":"A game theoretical model of DEA efficiency","publication_year":2000,"publication_date":"2000-11-01","ids":{"openalex":"https://openalex.org/W2010226763","doi":"https://doi.org/10.1057/palgrave.jors.2601006","mag":"2010226763"},"language":"en","primary_location":{"id":"doi:10.1057/palgrave.jors.2601006","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2601006","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","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/A5009766673","display_name":"Gang Hao","orcid":"https://orcid.org/0000-0002-7921-3919"},"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":"G Hao","raw_affiliation_strings":["City University of Hong Kong China"],"affiliations":[{"raw_affiliation_string":"City University of Hong Kong China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100366946","display_name":"Qiang Wei","orcid":"https://orcid.org/0000-0002-0591-0236"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Q L Wei","raw_affiliation_strings":["Renmin University of China China"],"affiliations":[{"raw_affiliation_string":"Renmin University of China China","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058391821","display_name":"Hong Yan","orcid":"https://orcid.org/0000-0002-0699-5470"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"H Yan","raw_affiliation_strings":["The Hong Kong Polytechnic University China"],"affiliations":[{"raw_affiliation_string":"The Hong Kong Polytechnic University China","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058391821"],"corresponding_institution_ids":["https://openalex.org/I14243506"],"apc_list":null,"apc_paid":null,"fwci":1.5134,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.84090909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"51","issue":"11","first_page":"1319","last_page":"1329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10357","display_name":"Efficiency Analysis Using DEA","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10357","display_name":"Efficiency Analysis Using DEA","score":0.9998999834060669,"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/T11954","display_name":"Energy Efficiency and Management","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11976","display_name":"Capital Investment and Risk Analysis","score":0.9599999785423279,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.6678047180175781},{"id":"https://openalex.org/keywords/data-envelopment-analysis","display_name":"Data envelopment analysis","score":0.6301701068878174},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6086974143981934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.553087592124939},{"id":"https://openalex.org/keywords/cooperative-game-theory","display_name":"Cooperative game theory","score":0.5163775682449341},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5019979476928711},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.46864551305770874},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.42448630928993225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3006395101547241}],"concepts":[{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.6678047180175781},{"id":"https://openalex.org/C22088475","wikidata":"https://www.wikidata.org/wiki/Q647974","display_name":"Data envelopment analysis","level":2,"score":0.6301701068878174},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6086974143981934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.553087592124939},{"id":"https://openalex.org/C2781416736","wikidata":"https://www.wikidata.org/wiki/Q105354050","display_name":"Cooperative game theory","level":3,"score":0.5163775682449341},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5019979476928711},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.46864551305770874},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.42448630928993225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3006395101547241},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1057/palgrave.jors.2601006","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2601006","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:pal:jorsoc:v:51:y:2000:i:11:d:10.1057_palgrave.jors.2601006","is_oa":false,"landing_page_url":"http://link.springer.com/10.1057/palgrave.jors.2601006","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"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/11256","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/11256","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal/Magazine Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W87988210","https://openalex.org/W1480086322","https://openalex.org/W1486925192","https://openalex.org/W1969490400","https://openalex.org/W1971984261","https://openalex.org/W1977310087","https://openalex.org/W1989515808","https://openalex.org/W2012265316","https://openalex.org/W2017268155","https://openalex.org/W2017959480","https://openalex.org/W2021244927","https://openalex.org/W2023245532","https://openalex.org/W2035376978","https://openalex.org/W2038761115","https://openalex.org/W2048187695","https://openalex.org/W2053747204","https://openalex.org/W2076452041"],"related_works":["https://openalex.org/W1496195681","https://openalex.org/W1894585900","https://openalex.org/W3123475175","https://openalex.org/W2886712576","https://openalex.org/W2013832345","https://openalex.org/W2991299177","https://openalex.org/W146140496","https://openalex.org/W1561886746","https://openalex.org/W2121310463","https://openalex.org/W796352376"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"the":[2,7,83,98,109,116,122,128,145,149,155,161,174],"inherent":[3],"competitive":[4,36],"nature":[5],"of":[6,34,61,118,144,148,182,191],"DEA":[8,19,62,66,75,84,100,110,134],"efficiency":[9,47,55,93,124,132,157],"assessment":[10],"process,":[11],"some":[12,58],"effort":[13],"has":[14],"been":[15],"made":[16],"to":[17,21,53,57,160],"relate":[18],"models":[20,76,141],"game":[22,94,106,131,156,193],"theory.":[23],"Game":[24],"theory":[25,107,194],"is":[26,112,186],"considered":[27,68],"not":[28],"only":[29],"a":[30,79,88,102],"more":[31],"natural":[32],"source":[33],"representing":[35],"situations,":[37],"but":[38],"also":[39,137],"beneficial":[40],"in":[41,69,96,121,164,177],"revealing":[42],"additional":[43],"insights":[44],"into":[45],"practical":[46],"analysis.":[48],"Past":[49],"studies":[50],"are":[51],"limited":[52],"connecting":[54],"games":[56],"particular":[59],"versions":[60],"models.":[63],"The":[64,180],"generalised":[65,89,99,123],"model":[67,95],"this":[70,178],"study":[71,171],"unifies":[72],"various":[73],"important":[74],"and":[77,108,133,152,189,195],"presents":[78],"basic":[80],"formulation":[81],"for":[82,142,187],"family.":[85],"By":[86],"introducing":[87],"convex":[90,139],"cone":[91],"constrained":[92],"assembling":[97],"model,":[101],"rigorous":[103],"connection":[104],"between":[105,130],"family":[111],"established.":[113],"We":[114,126,136],"prove":[115],"existence":[117],"optimal":[119,146],"strategies":[120,147],"game.":[125],"show":[127,153],"equivalence":[129],"efficiency.":[135],"provide":[138],"programming":[140,168],"determination":[143],"proposed":[150],"games,":[151],"that":[154],"unit":[158],"corresponds":[159],"non-dominated":[162],"solution":[163],"its":[165],"corresponding":[166],"multi-objective":[167],"problem.":[169],"Our":[170],"largely":[172],"extends":[173],"latest":[175],"developments":[176],"area.":[179],"significance":[181],"such":[183],"an":[184],"extension":[185],"research":[188],"applications":[190],"both":[192],"DEA.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}