{"id":"https://openalex.org/W2125859497","doi":"https://doi.org/10.1016/j.automatica.2006.08.027","title":"An extension of duality to a game-theoretic framework","display_name":"An extension of duality to a game-theoretic framework","publication_year":2006,"publication_date":"2006-12-14","ids":{"openalex":"https://openalex.org/W2125859497","doi":"https://doi.org/10.1016/j.automatica.2006.08.027","mag":"2125859497"},"language":"en","primary_location":{"id":"doi:10.1016/j.automatica.2006.08.027","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.automatica.2006.08.027","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/A5038039270","display_name":"Lacra Pavel","orcid":"https://orcid.org/0000-0002-2849-0318"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Lacra Pavel","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada M5S 3G4","Department of Electrical and Computer Engineering University of Toronto Toronto, ON Canada M5S 3G4"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada M5S 3G4","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering University of Toronto Toronto, ON Canada M5S 3G4","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038039270"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":6.7811,"has_fulltext":false,"cited_by_count":95,"citation_normalized_percentile":{"value":0.96781324,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"43","issue":"2","first_page":"226","last_page":"237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10847","display_name":"Advanced Optical Network Technologies","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10847","display_name":"Advanced Optical Network Technologies","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10232","display_name":"Optical Network Technologies","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11429","display_name":"Semiconductor Lasers and Optical Devices","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.78156578540802},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6750539541244507},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5883861780166626},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5622710585594177},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5368585586547852},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48945438861846924},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4487327039241791},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44398579001426697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3619004189968109},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.12898021936416626}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.78156578540802},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6750539541244507},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5883861780166626},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5622710585594177},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5368585586547852},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48945438861846924},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4487327039241791},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44398579001426697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3619004189968109},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.12898021936416626},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.automatica.2006.08.027","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.automatica.2006.08.027","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1551552713","https://openalex.org/W1565756777","https://openalex.org/W1578630563","https://openalex.org/W1608395362","https://openalex.org/W2037710455","https://openalex.org/W2067050450","https://openalex.org/W2087332622","https://openalex.org/W2099033662","https://openalex.org/W2099139738","https://openalex.org/W2099823045","https://openalex.org/W2102157096","https://openalex.org/W2104142951","https://openalex.org/W2107053348","https://openalex.org/W2107851206","https://openalex.org/W2108077180","https://openalex.org/W2120126835","https://openalex.org/W2134927548","https://openalex.org/W2136423702","https://openalex.org/W2157398838","https://openalex.org/W2159715570","https://openalex.org/W2160169837","https://openalex.org/W2164271287","https://openalex.org/W2165728233","https://openalex.org/W2166810493","https://openalex.org/W2798766386","https://openalex.org/W4230937717","https://openalex.org/W4254313632","https://openalex.org/W6634494593"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W4312141693","https://openalex.org/W1536009559","https://openalex.org/W2103821767","https://openalex.org/W1969185016","https://openalex.org/W2037619003","https://openalex.org/W2111030377","https://openalex.org/W1965856819"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":12}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}