{"id":"https://openalex.org/W1616868910","doi":"https://doi.org/10.1007/s00224-017-9826-1","title":"A Unifying Tool for Bounding the Quality of Non-Cooperative Solutions in Weighted Congestion Games","display_name":"A Unifying Tool for Bounding the Quality of Non-Cooperative Solutions in Weighted Congestion Games","publication_year":2017,"publication_date":"2017-12-02","ids":{"openalex":"https://openalex.org/W1616868910","doi":"https://doi.org/10.1007/s00224-017-9826-1","mag":"1616868910"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-017-9826-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-017-9826-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","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/A5027632307","display_name":"Vittorio Bil\u00f2","orcid":"https://orcid.org/0000-0001-7848-4904"},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Vittorio Bil\u00f2","raw_affiliation_strings":["Department of Mathematics and Physics \u201cEnnio De Giorgi\u201d, University of Salento, Provinciale Lecce-Arnesano, P.O. Box 193, 73100, Lecce, Italy","Department of Mathematics and Physics \u201cEnnio De Giorgi\u201d, University of Salento, Lecce, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics \u201cEnnio De Giorgi\u201d, University of Salento, Provinciale Lecce-Arnesano, P.O. Box 193, 73100, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]},{"raw_affiliation_string":"Department of Mathematics and Physics \u201cEnnio De Giorgi\u201d, University of Salento, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027632307"],"corresponding_institution_ids":["https://openalex.org/I142910587"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.4811,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.92371986,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"62","issue":"5","first_page":"1288","last_page":"1317"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.998199999332428,"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/T11182","display_name":"Auction Theory and Applications","score":0.9937999844551086,"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/bounding-overwatch","display_name":"Bounding overwatch","score":0.7470157146453857},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7265866994857788},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5864869952201843},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5427939295768738},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5406846404075623},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.4973302185535431},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49277952313423157},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.46474096179008484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4191022515296936},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40483760833740234},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23305869102478027},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11358237266540527}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7470157146453857},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7265866994857788},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5864869952201843},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5427939295768738},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5406846404075623},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.4973302185535431},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49277952313423157},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.46474096179008484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4191022515296936},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40483760833740234},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23305869102478027},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11358237266540527},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00224-017-9826-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-017-9826-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","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":47,"referenced_works":["https://openalex.org/W2529439","https://openalex.org/W125006731","https://openalex.org/W1508530075","https://openalex.org/W1514114782","https://openalex.org/W1518714012","https://openalex.org/W1526250527","https://openalex.org/W1563703481","https://openalex.org/W1577419414","https://openalex.org/W1584892670","https://openalex.org/W1602622577","https://openalex.org/W1635105252","https://openalex.org/W1725578675","https://openalex.org/W1965228255","https://openalex.org/W1971391161","https://openalex.org/W1986177268","https://openalex.org/W1990715672","https://openalex.org/W2011144523","https://openalex.org/W2016663842","https://openalex.org/W2017227260","https://openalex.org/W2019543382","https://openalex.org/W2021677593","https://openalex.org/W2041462779","https://openalex.org/W2052494364","https://openalex.org/W2054129049","https://openalex.org/W2063979082","https://openalex.org/W2070173191","https://openalex.org/W2079669094","https://openalex.org/W2080563857","https://openalex.org/W2086748851","https://openalex.org/W2095094403","https://openalex.org/W2124332176","https://openalex.org/W2133243407","https://openalex.org/W2141753937","https://openalex.org/W2143381018","https://openalex.org/W2146457340","https://openalex.org/W2157301738","https://openalex.org/W2169988108","https://openalex.org/W2171306573","https://openalex.org/W2172152464","https://openalex.org/W2213181670","https://openalex.org/W2283522456","https://openalex.org/W2296280118","https://openalex.org/W2487049711","https://openalex.org/W2566709761","https://openalex.org/W2897806075","https://openalex.org/W3155157870","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W2896131632","https://openalex.org/W2391438543","https://openalex.org/W2008231869","https://openalex.org/W323119424","https://openalex.org/W2551069560","https://openalex.org/W1972258194","https://openalex.org/W2522231841","https://openalex.org/W2997473813","https://openalex.org/W4250631474"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}