{"id":"https://openalex.org/W4410226391","doi":"https://doi.org/10.1109/tac.2025.3568560","title":"SLS-BRD: A System-Level Approach to Seeking Generalized Feedback Nash Equilibria","display_name":"SLS-BRD: A System-Level Approach to Seeking Generalized Feedback Nash Equilibria","publication_year":2025,"publication_date":"2025-05-09","ids":{"openalex":"https://openalex.org/W4410226391","doi":"https://doi.org/10.1109/tac.2025.3568560"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3568560","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tac.2025.3568560","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1109/tac.2025.3568560","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051128423","display_name":"Otac\u00edlio B.L. Neto","orcid":"https://orcid.org/0000-0001-5558-1242"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Otacilio B. L. Neto","raw_affiliation_strings":["Department of Chemical and Metallurgical Engineering, Aalto University, Espoo, Finland"],"raw_orcid":"https://orcid.org/0000-0001-5558-1242","affiliations":[{"raw_affiliation_string":"Department of Chemical and Metallurgical Engineering, Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027099900","display_name":"Michela Mulas","orcid":"https://orcid.org/0000-0001-9120-2465"},"institutions":[{"id":"https://openalex.org/I243754102","display_name":"Universidade Federal do Cear\u00e1","ror":"https://ror.org/03srtnf24","country_code":"BR","type":"education","lineage":["https://openalex.org/I243754102"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Michela Mulas","raw_affiliation_strings":["Department of Teleinformatics Engineering, Federal University of Cear&#x00E1;, Fortaleza, CE, Brazil","Department of Teleinformatics Engineering, Federal University of Cear&#x00E1;, Fortaleza-CE, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-9120-2465","affiliations":[{"raw_affiliation_string":"Department of Teleinformatics Engineering, Federal University of Cear&#x00E1;, Fortaleza, CE, Brazil","institution_ids":["https://openalex.org/I243754102"]},{"raw_affiliation_string":"Department of Teleinformatics Engineering, Federal University of Cear&#x00E1;, Fortaleza-CE, Brazil","institution_ids":["https://openalex.org/I243754102"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062016612","display_name":"Francesco Corona","orcid":"https://orcid.org/0000-0002-3615-1359"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Francesco Corona","raw_affiliation_strings":["Department of Chemical and Metallurgical Engineering, Aalto University, Espoo, Finland"],"raw_orcid":"https://orcid.org/0000-0002-3615-1359","affiliations":[{"raw_affiliation_string":"Department of Chemical and Metallurgical Engineering, Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13633934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"70","issue":"11","first_page":"7173","last_page":"7188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.5152000188827515,"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":0.5152000188827515,"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":0.755994439125061},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.49119803309440613},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4869266748428345},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48032131791114807},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.4504202902317047},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.41831234097480774},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39983201026916504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37281334400177},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22652721405029297},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08727660775184631}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.755994439125061},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.49119803309440613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4869266748428345},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48032131791114807},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.4504202902317047},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.41831234097480774},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39983201026916504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37281334400177},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22652721405029297},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08727660775184631}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2025.3568560","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tac.2025.3568560","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/141679","is_oa":true,"landing_page_url":"https://doi.org/10.1109/TAC.2025.3568560","pdf_url":null,"source":{"id":"https://openalex.org/S4306401663","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"}],"best_oa_location":{"id":"doi:10.1109/tac.2025.3568560","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tac.2025.3568560","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W207727262","https://openalex.org/W1489128386","https://openalex.org/W1570963478","https://openalex.org/W1793264465","https://openalex.org/W1975385606","https://openalex.org/W1977794212","https://openalex.org/W1978649216","https://openalex.org/W2025356004","https://openalex.org/W2044667552","https://openalex.org/W2058626062","https://openalex.org/W2087496594","https://openalex.org/W2093123841","https://openalex.org/W2116773335","https://openalex.org/W2141744833","https://openalex.org/W2334899171","https://openalex.org/W2339973182","https://openalex.org/W2508573783","https://openalex.org/W2591158312","https://openalex.org/W2604966640","https://openalex.org/W2749680651","https://openalex.org/W2787689390","https://openalex.org/W2913529137","https://openalex.org/W2926455501","https://openalex.org/W2935277128","https://openalex.org/W2950287676","https://openalex.org/W2957710976","https://openalex.org/W2962979247","https://openalex.org/W2962990479","https://openalex.org/W2969076652","https://openalex.org/W2976196800","https://openalex.org/W2991046523","https://openalex.org/W3035045431","https://openalex.org/W3089576059","https://openalex.org/W3089997924","https://openalex.org/W3120436098","https://openalex.org/W3150098721","https://openalex.org/W3209754935","https://openalex.org/W4229706427","https://openalex.org/W4250589301","https://openalex.org/W4285792606","https://openalex.org/W4311114086","https://openalex.org/W4386120402"],"related_works":["https://openalex.org/W2803931294","https://openalex.org/W2282604764","https://openalex.org/W2569414037","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"],"abstract_inverted_index":{"This":[0],"work":[1],"proposes":[2],"a":[3,31,40,65,76],"policy":[4],"learning":[5],"algorithm":[6,84],"for":[7],"seeking":[8],"generalised":[9],"feedback":[10,77],"Nash":[11,78],"equilibria":[12],"(GFNE)":[13],"in":[14,34,87,100],"<inline-formula":[15],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[16],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[17],"notation=\"LaTeX\">$N_{P}$</tex-math></inline-formula>-player":[18],"noncooperative":[19],"dynamic":[20],"games.":[21],"We":[22],"consider":[23],"linear-quadratic":[24],"games":[25],"with":[26],"stochastic":[27],"dynamics":[28,33],"and":[29,38],"design":[30],"best-response":[32],"which":[35],"players":[36],"update":[37,59],"broadcast":[39],"parametrisation":[41],"of":[42,73,95],"their":[43],"state-feedback":[44],"policies.":[45],"Our":[46],"approach":[47],"leverages":[48],"the":[49,62,92],"System":[50],"Level":[51],"Synthesis":[52],"(SLS)":[53],"framework":[54],"to":[55,64,75,98],"formulate":[56],"each":[57],"player's":[58],"rule":[60],"as":[61],"solution":[63],"robust":[66],"optimisation":[67],"problem.":[68],"Under":[69],"certain":[70],"conditions,":[71],"rates":[72],"convergence":[74],"equilibrium":[79],"can":[80],"be":[81],"established.":[82],"The":[83],"is":[85],"showcased":[86],"exemplary":[88],"problems":[89],"ranging":[90],"from":[91],"decentralised":[93],"control":[94],"unstable":[96],"systems":[97],"competition":[99],"oligopolistic":[101],"markets.":[102]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
