{"id":"https://openalex.org/W2170269759","doi":"https://doi.org/10.1007/s10107-007-0160-2","title":"Generalized Nash equilibrium problems and Newton methods","display_name":"Generalized Nash equilibrium problems and Newton methods","publication_year":2007,"publication_date":"2007-07-18","ids":{"openalex":"https://openalex.org/W2170269759","doi":"https://doi.org/10.1007/s10107-007-0160-2","mag":"2170269759"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-007-0160-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-007-0160-2","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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, Roma, Italy","Department of Computer and System Sciences \"A. Ruberti\", \"Sapienza\" Universit\u00e0 di Roma, via Ariosto 25, 00185, Roma, Italy"],"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, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Department of Computer and System Sciences \"A. Ruberti\", \"Sapienza\" Universit\u00e0 di Roma, via Ariosto 25, 00185, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063581189","display_name":"Andreas Fischer","orcid":"https://orcid.org/0000-0001-7703-1655"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Fischer","raw_affiliation_strings":["Institute of Numerical Mathematics, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Numerical Mathematics, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068357817","display_name":"Veronica Piccialli","orcid":"https://orcid.org/0000-0002-3357-9608"},"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":false,"raw_author_name":"Veronica Piccialli","raw_affiliation_strings":["Department of Computer and System Sciences \u201cA. Ruberti\u201d, \u201cSapienza\u201d Universit\u00e0 di Roma, via Ariosto 25, 00185, Roma, Italy","Department of Computer and System Sciences \"A. Ruberti\", \"Sapienza\" Universit\u00e0 di Roma, via Ariosto 25, 00185, Roma, Italy"],"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, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Department of Computer and System Sciences \"A. Ruberti\", \"Sapienza\" Universit\u00e0 di Roma, via Ariosto 25, 00185, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"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":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":21.8541,"has_fulltext":false,"cited_by_count":142,"citation_normalized_percentile":{"value":0.99230377,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"117","issue":"1-2","first_page":"163","last_page":"194"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9987999796867371,"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":0.9987999796867371,"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/T11031","display_name":"Game Theory and Applications","score":0.9980999827384949,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9790999889373779,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.7483727335929871},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6013667583465576},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5990478992462158},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5152400135993958},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5139850974082947},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40237995982170105},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.36696696281433105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3364575505256653},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17482703924179077}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7483727335929871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6013667583465576},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5990478992462158},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5152400135993958},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5139850974082947},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40237995982170105},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.36696696281433105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3364575505256653},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17482703924179077},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10107-007-0160-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-007-0160-2","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:art.torvergata.it:2108/42489","is_oa":false,"landing_page_url":"http://dx.medra.org/10.1007/s10107-007-0160-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"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"},{"id":"pmh:oai:iris.uniroma1.it:11573/360711","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/360711","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W19180870","https://openalex.org/W106246290","https://openalex.org/W562107606","https://openalex.org/W1484204181","https://openalex.org/W1492558830","https://openalex.org/W1543439990","https://openalex.org/W1545571671","https://openalex.org/W1547555716","https://openalex.org/W1592789217","https://openalex.org/W1604627832","https://openalex.org/W1972028349","https://openalex.org/W1972221945","https://openalex.org/W1996701679","https://openalex.org/W2015320990","https://openalex.org/W2017850498","https://openalex.org/W2018838418","https://openalex.org/W2022955077","https://openalex.org/W2052236418","https://openalex.org/W2055192098","https://openalex.org/W2057418187","https://openalex.org/W2076736386","https://openalex.org/W2087136707","https://openalex.org/W2088000393","https://openalex.org/W2088241859","https://openalex.org/W2118064636","https://openalex.org/W2163488162","https://openalex.org/W2165807407","https://openalex.org/W2316926081","https://openalex.org/W2482182218","https://openalex.org/W2492629073","https://openalex.org/W3122844391","https://openalex.org/W4234277722","https://openalex.org/W4236123449","https://openalex.org/W4241481124","https://openalex.org/W4301791716"],"related_works":["https://openalex.org/W2803931294","https://openalex.org/W1554758635","https://openalex.org/W2500870930","https://openalex.org/W2218535193","https://openalex.org/W2282604764","https://openalex.org/W2468739564","https://openalex.org/W2025767136","https://openalex.org/W2171981925","https://openalex.org/W3121992327","https://openalex.org/W4302558842"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":9}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
