{"id":"https://openalex.org/W7162285177","doi":"https://doi.org/10.1109/lcsys.2026.3696359","title":"On the Role of Stubbornness in Nash Equilibrium Problems","display_name":"On the Role of Stubbornness in Nash Equilibrium Problems","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7162285177","doi":"https://doi.org/10.1109/lcsys.2026.3696359"},"language":null,"primary_location":{"id":"doi:10.1109/lcsys.2026.3696359","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2026.3696359","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1109/lcsys.2026.3696359","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060370400","display_name":"Barbara Franci","orcid":"https://orcid.org/0000-0002-8298-0684"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Barbara Franci","raw_affiliation_strings":["Department of Mathematical Sciences &#x201C;G. L. Lagrange,&#x201D;, Politecnico di Torino, Turin, Italy"],"raw_orcid":"https://orcid.org/0000-0002-8298-0684","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences &#x201C;G. L. Lagrange,&#x201D;, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056468963","display_name":"Filippo Fabiani","orcid":"https://orcid.org/0000-0002-9911-4758"},"institutions":[{"id":"https://openalex.org/I127077003","display_name":"IMT School for Advanced Studies Lucca","ror":"https://ror.org/035gh3a49","country_code":"IT","type":"education","lineage":["https://openalex.org/I127077003"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Filippo Fabiani","raw_affiliation_strings":["IMT School for Advanced Studies Lucca, Lucca, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9911-4758","affiliations":[{"raw_affiliation_string":"IMT School for Advanced Studies Lucca, Lucca, Italy","institution_ids":["https://openalex.org/I127077003"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062996313","display_name":"Lorenzo Zino","orcid":"https://orcid.org/0000-0002-0946-6523"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Zino","raw_affiliation_strings":["Department of Electronics and Telecommunications, Politecnico di Torino, Turin, Italy"],"raw_orcid":"https://orcid.org/0000-0002-0946-6523","affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":{"value":2645,"currency":"USD","value_usd":2645},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.53837636,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":null,"first_page":"433","last_page":"438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.38100001215934753,"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"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.38100001215934753,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.2581000030040741,"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/T12137","display_name":"Economic theories and models","score":0.12800000607967377,"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":0.5340999960899353},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.35249999165534973},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.3009999990463257},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.28769999742507935},{"id":"https://openalex.org/keywords/economic-equilibrium","display_name":"Economic equilibrium","score":0.28610000014305115}],"concepts":[{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6434999704360962},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5340999960899353},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.42739999294281006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40470001101493835},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.35249999165534973},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.3009999990463257},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.28769999742507935},{"id":"https://openalex.org/C2776303733","wikidata":"https://www.wikidata.org/wiki/Q836133","display_name":"Economic equilibrium","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2782999873161316},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.2720000147819519}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2026.3696359","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2026.3696359","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/lcsys.2026.3696359","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2026.3696359","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W2030254499","https://openalex.org/W2067050450","https://openalex.org/W2073515808","https://openalex.org/W2501656778","https://openalex.org/W2604966640","https://openalex.org/W2606845378","https://openalex.org/W2766719770","https://openalex.org/W2951873227","https://openalex.org/W2964275669","https://openalex.org/W2965900084","https://openalex.org/W3033189436","https://openalex.org/W3197947604","https://openalex.org/W3215827897","https://openalex.org/W4200252201","https://openalex.org/W4229650096","https://openalex.org/W4312455442","https://openalex.org/W4400946373","https://openalex.org/W4406761382","https://openalex.org/W4406948320","https://openalex.org/W4407951285","https://openalex.org/W4410323310","https://openalex.org/W4410455382","https://openalex.org/W7117155195"],"related_works":[],"abstract_inverted_index":{"We":[0],"consider":[1],"Nash":[2],"equilibrium":[3],"(NE)":[4],"seeking":[5,86],"in":[6],"partial-decision":[7],"information":[8],"regimes":[9],"where":[10],"the":[11,15,22,31,44,49,57,61,65,70,79],"data":[12],"circulating":[13],"across":[14],"agents\u2019":[16,23,45],"communication":[17,32,80],"network":[18],"are":[19],"affected":[20],"by":[21],"stubborn":[24],"behavior.":[25],"Unlike":[26],"traditional":[27],"linear":[28],"averaging":[29],"approaches,":[30],"protocol":[33],"is":[34],"here":[35],"based":[36],"on":[37,56],"a":[38],"nonlinear,":[39],"state-dependent":[40],"dynamics":[41,67],"that":[42],"captures":[43],"biases,":[46],"which":[47,89],"hinders":[48],"direct":[50],"application":[51],"of":[52,60,64],"standard":[53],"techniques.":[54],"Building":[55],"explicit":[58],"characterization":[59],"convergence":[62,93],"rate":[63],"opinion":[66],"resulting":[68],"from":[69],"proposed":[71],"scheme,":[72],"and":[73],"leveraging":[74],"operator":[75],"theory,":[76],"we":[77,90],"embed":[78],"pattern":[81],"into":[82],"two":[83],"novel":[84],"NE":[85],"algorithms":[87],"for":[88],"derive":[91],"rigorous":[92],"guarantees.":[94]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2026-05-26T00:00:00"}
