{"id":"https://openalex.org/W4403083436","doi":"https://doi.org/10.1137/23m1548189","title":"A Branch-and-Bound Algorithm for Nonconvex Nash Equilibrium Problems","display_name":"A Branch-and-Bound Algorithm for Nonconvex Nash Equilibrium Problems","publication_year":2024,"publication_date":"2024-10-03","ids":{"openalex":"https://openalex.org/W4403083436","doi":"https://doi.org/10.1137/23m1548189"},"language":"en","primary_location":{"id":"doi:10.1137/23m1548189","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1548189","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.wur.nl/en/publications/a-branch-and-bound-algorithm-for-nonconvex-nash-equilibrium-probl","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064366789","display_name":"Peter Kirst","orcid":"https://orcid.org/0000-0002-8472-3569"},"institutions":[{"id":"https://openalex.org/I913481162","display_name":"Wageningen University & Research","ror":"https://ror.org/04qw24q55","country_code":"NL","type":"education","lineage":["https://openalex.org/I913481162"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Peter Kirst","raw_affiliation_strings":["Operations Research and Logistics (ORL), Wageningen University & Research (WUR), Wageningen, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-8472-3569","affiliations":[{"raw_affiliation_string":"Operations Research and Logistics (ORL), Wageningen University & Research (WUR), Wageningen, The Netherlands","institution_ids":["https://openalex.org/I913481162"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009909310","display_name":"Stefan Schwarze","orcid":"https://orcid.org/0000-0002-1950-7114"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Schwarze","raw_affiliation_strings":["Institute for Operations Research (IOR), Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Operations Research (IOR), Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052388878","display_name":"Oliver Stein","orcid":"https://orcid.org/0000-0001-9514-6317"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Oliver Stein","raw_affiliation_strings":["Institute for Operations Research (IOR), Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany"],"raw_orcid":"https://orcid.org/0000-0001-9514-6317","affiliations":[{"raw_affiliation_string":"Institute for Operations Research (IOR), Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064366789"],"corresponding_institution_ids":["https://openalex.org/I913481162"],"apc_list":null,"apc_paid":null,"fwci":1.0817,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8838099,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"4","first_page":"3371","last_page":"3398"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9980000257492065,"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":0.9980000257492065,"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":0.9965999722480774,"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/T11182","display_name":"Auction Theory and Applications","score":0.9962000250816345,"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/mathematics","display_name":"Mathematics","score":0.7549257278442383},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6452473998069763},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6211599111557007},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.5940444469451904},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.464460551738739},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4162098169326782},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3588501214981079},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33345890045166016}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7549257278442383},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6452473998069763},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6211599111557007},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.5940444469451904},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.464460551738739},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4162098169326782},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3588501214981079},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33345890045166016},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1548189","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1548189","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"pmh:oai:library.wur.nl:wurpubs/637432","is_oa":true,"landing_page_url":"https://research.wur.nl/en/publications/a-branch-and-bound-algorithm-for-nonconvex-nash-equilibrium-probl","pdf_url":null,"source":{"id":"https://openalex.org/S4210201231","display_name":"Socio-Environmental Systems Modeling","issn_l":"2663-3027","issn":["2663-3027"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1052-6234","raw_type":"Article/Letter to editor"}],"best_oa_location":{"id":"pmh:oai:library.wur.nl:wurpubs/637432","is_oa":true,"landing_page_url":"https://research.wur.nl/en/publications/a-branch-and-bound-algorithm-for-nonconvex-nash-equilibrium-probl","pdf_url":null,"source":{"id":"https://openalex.org/S4210201231","display_name":"Socio-Environmental Systems Modeling","issn_l":"2663-3027","issn":["2663-3027"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1052-6234","raw_type":"Article/Letter to editor"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W10227180","https://openalex.org/W116541271","https://openalex.org/W162069171","https://openalex.org/W615245433","https://openalex.org/W1483874187","https://openalex.org/W1492558830","https://openalex.org/W1605156146","https://openalex.org/W1981009968","https://openalex.org/W1982658920","https://openalex.org/W1984425167","https://openalex.org/W1988622494","https://openalex.org/W1997949764","https://openalex.org/W2006353636","https://openalex.org/W2032234281","https://openalex.org/W2052236418","https://openalex.org/W2056371558","https://openalex.org/W2056676441","https://openalex.org/W2059334338","https://openalex.org/W2067050450","https://openalex.org/W2159420800","https://openalex.org/W2170269759","https://openalex.org/W2529426870","https://openalex.org/W2673442559","https://openalex.org/W2894871027","https://openalex.org/W2901247300","https://openalex.org/W2963899121","https://openalex.org/W4212864101","https://openalex.org/W4229903236","https://openalex.org/W4234761190","https://openalex.org/W4242862890","https://openalex.org/W4383499422"],"related_works":["https://openalex.org/W2803931294","https://openalex.org/W2282604764","https://openalex.org/W2500870930","https://openalex.org/W2218535193","https://openalex.org/W4389370903","https://openalex.org/W2468739564","https://openalex.org/W1554758635","https://openalex.org/W4302558842","https://openalex.org/W2171981925","https://openalex.org/W2955320052"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,55,59],"spatial":[4],"branch-and-bound":[5],"method":[6],"for":[7,58],"the":[8,11,29,38],"computation":[9],"of":[10,13,17,31],"set":[12],"all":[14],"\\varepsilon-Nash":[15,32],"equilibria":[16,33],"continuous":[18],"box-constrained":[19],"nonconvex":[20],"Nash":[21],"equilibrium":[22],"problems":[23],"with":[24],"an":[25],"approximation":[26,61],"guarantee.":[27],"Thereby,":[28],"existence":[30],"is":[34,40],"not":[35],"assumed,":[36],"but":[37],"algorithm":[39],"also":[41],"able":[42],"to":[43],"detect":[44],"their":[45],"absence.":[46],"We":[47],"explain":[48],"appropriate":[49],"discarding":[50],"and":[51,63],"fathoming":[52],"techniques,":[53],"provide":[54],"termination":[56],"proof":[57],"prescribed":[60],"tolerance,":[62],"report":[64],"our":[65],"computational":[66],"experience.":[67]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-12-19T19:40:27.379048","created_date":"2025-10-10T00:00:00"}