{"id":"https://openalex.org/W1997949764","doi":"https://doi.org/10.1007/s10288-007-0054-4","title":"Generalized Nash equilibrium problems","display_name":"Generalized Nash equilibrium problems","publication_year":2007,"publication_date":"2007-09-12","ids":{"openalex":"https://openalex.org/W1997949764","doi":"https://doi.org/10.1007/s10288-007-0054-4","mag":"1997949764"},"language":"en","primary_location":{"id":"doi:10.1007/s10288-007-0054-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10288-007-0054-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"4OR","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/A5019411025","display_name":"Francisco Facchinei","orcid":"https://orcid.org/0000-0002-7714-1210"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Francisco Facchinei","raw_affiliation_strings":["Department of Computer and System Sciences \u201cA. Ruberti\u201d, \u201cSapienza\u201d Universit\u00e0 di Roma, Via Ariosto 25, 00185, Rome, Italy","Sapienza Universit\u00e0 di Roma"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and System Sciences \u201cA. Ruberti\u201d, \u201cSapienza\u201d Universit\u00e0 di Roma, Via Ariosto 25, 00185, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Sapienza Universit\u00e0 di Roma","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056161700","display_name":"Christian Kanzow","orcid":"https://orcid.org/0000-0003-2897-2509"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Kanzow","raw_affiliation_strings":["Institute of Mathematics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","University of W\u00fcrzburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"University of W\u00fcrzburg","institution_ids":["https://openalex.org/I25974101"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019411025"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":28.11,"has_fulltext":false,"cited_by_count":598,"citation_normalized_percentile":{"value":0.99457852,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"5","issue":"3","first_page":"173","last_page":"210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9993000030517578,"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/T12137","display_name":"Economic theories and models","score":0.9993000030517578,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.754677414894104},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5988573431968689},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4614523649215698},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.41895830631256104},{"id":"https://openalex.org/keywords/management-science","display_name":"Management science","score":0.3923097848892212},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37562280893325806},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.3642372488975525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3440230190753937},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2609274387359619},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09133091568946838}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.754677414894104},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5988573431968689},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4614523649215698},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.41895830631256104},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3923097848892212},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37562280893325806},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.3642372488975525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3440230190753937},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2609274387359619},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09133091568946838}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10288-007-0054-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10288-007-0054-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"4OR","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/18305","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?eid=2-s2.0-34848903352&partnerID=65&md5=4c8d925130ae3fe13c903d163f2d988f","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":123,"referenced_works":["https://openalex.org/W19180870","https://openalex.org/W68127330","https://openalex.org/W149372611","https://openalex.org/W155982141","https://openalex.org/W631874267","https://openalex.org/W1480205328","https://openalex.org/W1492558830","https://openalex.org/W1533307092","https://openalex.org/W1540021077","https://openalex.org/W1542964562","https://openalex.org/W1543439990","https://openalex.org/W1545877146","https://openalex.org/W1547555716","https://openalex.org/W1555511888","https://openalex.org/W1561515096","https://openalex.org/W1568846557","https://openalex.org/W1573934778","https://openalex.org/W1592789217","https://openalex.org/W1604627832","https://openalex.org/W1622396521","https://openalex.org/W1735021252","https://openalex.org/W1965387891","https://openalex.org/W1965826098","https://openalex.org/W1968095245","https://openalex.org/W1970916722","https://openalex.org/W1971947347","https://openalex.org/W1971964132","https://openalex.org/W1972028349","https://openalex.org/W1972221945","https://openalex.org/W1972237899","https://openalex.org/W1985978629","https://openalex.org/W1989072615","https://openalex.org/W1992688650","https://openalex.org/W1993509857","https://openalex.org/W1996701679","https://openalex.org/W1998829509","https://openalex.org/W2001024683","https://openalex.org/W2012203222","https://openalex.org/W2014023337","https://openalex.org/W2015320990","https://openalex.org/W2017850498","https://openalex.org/W2018838418","https://openalex.org/W2020560084","https://openalex.org/W2023021361","https://openalex.org/W2029429306","https://openalex.org/W2031660603","https://openalex.org/W2033151911","https://openalex.org/W2036454494","https://openalex.org/W2037095211","https://openalex.org/W2042202222","https://openalex.org/W2044354876","https://openalex.org/W2048213039","https://openalex.org/W2052236418","https://openalex.org/W2053643774","https://openalex.org/W2055192098","https://openalex.org/W2056950460","https://openalex.org/W2057418187","https://openalex.org/W2057561289","https://openalex.org/W2061510709","https://openalex.org/W2061625950","https://openalex.org/W2064347125","https://openalex.org/W2064706616","https://openalex.org/W2067050450","https://openalex.org/W2071757183","https://openalex.org/W2075567596","https://openalex.org/W2076736386","https://openalex.org/W2084378950","https://openalex.org/W2085955062","https://openalex.org/W2088000393","https://openalex.org/W2088126307","https://openalex.org/W2088658963","https://openalex.org/W2090314716","https://openalex.org/W2092808281","https://openalex.org/W2101907062","https://openalex.org/W2110667918","https://openalex.org/W2112803920","https://openalex.org/W2113734366","https://openalex.org/W2118064636","https://openalex.org/W2132275236","https://openalex.org/W2134809310","https://openalex.org/W2140208620","https://openalex.org/W2144846366","https://openalex.org/W2147101399","https://openalex.org/W2148172226","https://openalex.org/W2149710935","https://openalex.org/W2154112828","https://openalex.org/W2162885967","https://openalex.org/W2163488162","https://openalex.org/W2164498579","https://openalex.org/W2165132479","https://openalex.org/W2165302913","https://openalex.org/W2165807407","https://openalex.org/W2166455736","https://openalex.org/W2166977026","https://openalex.org/W2170269759","https://openalex.org/W2224931890","https://openalex.org/W2310516540","https://openalex.org/W2318205745","https://openalex.org/W2324882973","https://openalex.org/W2330024298","https://openalex.org/W2492629073","https://openalex.org/W2502261143","https://openalex.org/W2505109973","https://openalex.org/W2970388709","https://openalex.org/W3121759939","https://openalex.org/W3122844391","https://openalex.org/W3123834724","https://openalex.org/W4234277722","https://openalex.org/W4234761190","https://openalex.org/W4236123449","https://openalex.org/W4240491954","https://openalex.org/W4249513058","https://openalex.org/W4253721596","https://openalex.org/W4285719527","https://openalex.org/W4298314778","https://openalex.org/W4301791716","https://openalex.org/W4301866048","https://openalex.org/W4301881298","https://openalex.org/W6633687401","https://openalex.org/W6634004741","https://openalex.org/W6817934128","https://openalex.org/W7015511328","https://openalex.org/W7046235003"],"related_works":["https://openalex.org/W1554758635","https://openalex.org/W2803931294","https://openalex.org/W4302558842","https://openalex.org/W2282604764","https://openalex.org/W2500870930","https://openalex.org/W2026429867","https://openalex.org/W2354539280","https://openalex.org/W2503523034","https://openalex.org/W2501065092","https://openalex.org/W2245247999"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":36},{"year":2024,"cited_by_count":24},{"year":2023,"cited_by_count":33},{"year":2022,"cited_by_count":33},{"year":2021,"cited_by_count":41},{"year":2020,"cited_by_count":60},{"year":2019,"cited_by_count":49},{"year":2018,"cited_by_count":44},{"year":2017,"cited_by_count":45},{"year":2016,"cited_by_count":37},{"year":2015,"cited_by_count":42},{"year":2014,"cited_by_count":28},{"year":2013,"cited_by_count":27},{"year":2012,"cited_by_count":36}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}