{"id":"https://openalex.org/W4321488079","doi":"https://doi.org/10.1109/jsyst.2023.3240993","title":"Multiplayer Nash\u2013Stackelberg Game Analysis of Electricity Markets With the Participation of a Distribution Company","display_name":"Multiplayer Nash\u2013Stackelberg Game Analysis of Electricity Markets With the Participation of a Distribution Company","publication_year":2023,"publication_date":"2023-02-22","ids":{"openalex":"https://openalex.org/W4321488079","doi":"https://doi.org/10.1109/jsyst.2023.3240993"},"language":"en","primary_location":{"id":"doi:10.1109/jsyst.2023.3240993","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2023.3240993","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Systems Journal","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/A5054255347","display_name":"Dong Xie","orcid":"https://orcid.org/0000-0002-3158-8391"},"institutions":[{"id":"https://openalex.org/I74872605","display_name":"China Southern Power Grid (China)","ror":"https://ror.org/03hkh9419","country_code":"CN","type":"company","lineage":["https://openalex.org/I74872605"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dong Xie","raw_affiliation_strings":["School of Electric Power Engineering, South China University of Technology, Guangzhou, China","Metrology Center of Guangdong Power Grid Corporation, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"Metrology Center of Guangdong Power Grid Corporation, Guangzhou, China","institution_ids":["https://openalex.org/I74872605"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018898756","display_name":"Mingbo Liu","orcid":"https://orcid.org/0000-0001-9097-9045"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingbo Liu","raw_affiliation_strings":["School of Electric Power Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040744032","display_name":"Lixin Xu","orcid":"https://orcid.org/0000-0001-6710-3977"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lixin Xu","raw_affiliation_strings":["Department of Electronic Business, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Business, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015530943","display_name":"Wentian Lu","orcid":"https://orcid.org/0000-0002-3862-7162"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]},{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wentian Lu","raw_affiliation_strings":["School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou, China","School of Electric Power Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]},{"raw_affiliation_string":"School of Electric Power Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5054255347"],"corresponding_institution_ids":["https://openalex.org/I74872605","https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":2.1421,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.87286735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"17","issue":"3","first_page":"3658","last_page":"3669"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11185","display_name":"Integrated Energy Systems Optimization","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stackelberg-competition","display_name":"Stackelberg competition","score":0.8222671747207642},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.7203290462493896},{"id":"https://openalex.org/keywords/bidding","display_name":"Bidding","score":0.6261399984359741},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4996829032897949},{"id":"https://openalex.org/keywords/electricity-market","display_name":"Electricity market","score":0.49900007247924805},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.49175551533699036},{"id":"https://openalex.org/keywords/non-cooperative-game","display_name":"Non-cooperative game","score":0.43803948163986206},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41928520798683167},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.3450658321380615},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.33404868841171265},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2797960042953491},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13393813371658325},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.10768309235572815}],"concepts":[{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.8222671747207642},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7203290462493896},{"id":"https://openalex.org/C9233905","wikidata":"https://www.wikidata.org/wiki/Q3276328","display_name":"Bidding","level":2,"score":0.6261399984359741},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4996829032897949},{"id":"https://openalex.org/C146733006","wikidata":"https://www.wikidata.org/wiki/Q676081","display_name":"Electricity market","level":3,"score":0.49900007247924805},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.49175551533699036},{"id":"https://openalex.org/C47175762","wikidata":"https://www.wikidata.org/wiki/Q13422573","display_name":"Non-cooperative game","level":3,"score":0.43803948163986206},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41928520798683167},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.3450658321380615},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.33404868841171265},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2797960042953491},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13393813371658325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.10768309235572815},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsyst.2023.3240993","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2023.3240993","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Systems Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5799999833106995,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4100207164","display_name":null,"funder_award_id":"52077083","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1986384595","https://openalex.org/W2045047916","https://openalex.org/W2122072670","https://openalex.org/W2175349386","https://openalex.org/W2321414982","https://openalex.org/W2357053520","https://openalex.org/W2409265110","https://openalex.org/W2507811265","https://openalex.org/W2526767376","https://openalex.org/W2623904884","https://openalex.org/W2765308108","https://openalex.org/W2793256059","https://openalex.org/W2799547715","https://openalex.org/W2802107698","https://openalex.org/W2888833478","https://openalex.org/W2949316759","https://openalex.org/W2974879927","https://openalex.org/W2979448047","https://openalex.org/W2989915063","https://openalex.org/W2990704859","https://openalex.org/W2995511258","https://openalex.org/W3022256713","https://openalex.org/W3022321359","https://openalex.org/W3030705727","https://openalex.org/W3045182663","https://openalex.org/W3046543442","https://openalex.org/W3080487268","https://openalex.org/W3081549722","https://openalex.org/W3086463216","https://openalex.org/W3101433250","https://openalex.org/W3102245805","https://openalex.org/W3106704733","https://openalex.org/W3112335786","https://openalex.org/W3165317859","https://openalex.org/W4226377407","https://openalex.org/W4256439778"],"related_works":["https://openalex.org/W1987562536","https://openalex.org/W2976114880","https://openalex.org/W2328458106","https://openalex.org/W3117163868","https://openalex.org/W2394317192","https://openalex.org/W2899105820","https://openalex.org/W2364446825","https://openalex.org/W2107053348","https://openalex.org/W2271266360","https://openalex.org/W1628290545"],"abstract_inverted_index":{"The":[0,57],"integration":[1],"of":[2,6,41,83,127,190],"a":[3,30,46,51,54,115,142,156,161,167,175],"large":[4],"number":[5],"distributed":[7,80],"energy":[8,81],"resources":[9,82],"into":[10,141],"the":[11,24,38,42,65,75,79,89,93,101,105,107,122,128,135,149,186,191],"distribution":[12,47,58,85,171,179],"system":[13,109,173,181],"poses":[14],"operational":[15],"challenges":[16],"and":[17,68,170,174,178,188,194],"creates":[18],"opportunities":[19],"to":[20,36,70,120,155,184],"generate":[21],"profits":[22,73],"in":[23,50,74,100],"electricity":[25,43,112],"market.":[26,103],"In":[27],"this":[28],"study,":[29],"multileader":[31,129],"one-follower":[32,130],"model":[33,138,152,159,193],"is":[34,118,139,153],"built":[35],"elaborate":[37],"Nash\u2013Stackelberg":[39,131],"game":[40,132,137,146,151,158],"market,":[44],"where":[45],"company":[48],"participates":[49,99],"competition":[52],"with":[53],"generation":[55,94],"company.":[56],"company,":[59,95],"as":[60,96],"one":[61],"leader,":[62,98],"decides":[63],"on":[64,166],"bidding":[66],"price":[67],"quantity":[69],"maximize":[71],"its":[72],"market":[76],"by":[77],"integrating":[78],"multiple":[84],"systems":[86],"after":[87],"satisfying":[88],"local":[90],"demand,":[91],"whereas":[92],"another":[97],"competitive":[102],"As":[104],"follower,":[106],"independent":[108],"operator":[110],"clears":[111],"markets.":[113],"Moreover,":[114],"tailored":[116],"algorithm":[117],"proposed":[119,136,192],"obtain":[121],"global":[123],"Nash":[124,144],"equilibrium":[125,145],"point":[126],"model.":[133],"First,":[134],"transformed":[140,150],"generalized":[143],"model;":[147],"then,":[148],"converted":[154],"potential":[157],"for":[160],"solution.":[162],"Finally,":[163],"case":[164],"studies":[165],"constructed":[168],"transmission":[169,177],"joint":[172,180],"practical":[176],"are":[182],"performed":[183],"demonstrate":[185],"effectiveness":[187],"scalability":[189],"algorithm.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
