{"id":"https://openalex.org/W1600126641","doi":"https://doi.org/10.1007/11672142_17","title":"Exact Price of Anarchy for Polynomial Congestion Games","display_name":"Exact Price of Anarchy for Polynomial Congestion Games","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1600126641","doi":"https://doi.org/10.1007/11672142_17","mag":"1600126641"},"language":"en","primary_location":{"id":"doi:10.1007/11672142_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11672142_17","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5047376850","display_name":"Sebastian Aland","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sebastian Aland","raw_affiliation_strings":["Department of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029771997","display_name":"Dominic Dumrauf","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dominic Dumrauf","raw_affiliation_strings":["Department of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046658423","display_name":"Martin Gairing","orcid":"https://orcid.org/0000-0002-0569-7113"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Gairing","raw_affiliation_strings":["Department of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086678348","display_name":"Burkhard Monien","orcid":"https://orcid.org/0000-0003-2334-6795"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Burkhard Monien","raw_affiliation_strings":["Department of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067160468","display_name":"Florian Schoppmann","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Florian Schoppmann","raw_affiliation_strings":["Department of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I206945453"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":12.1415,"has_fulltext":false,"cited_by_count":101,"citation_normalized_percentile":{"value":0.99095683,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"218","last_page":"229"},"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":0.995199978351593,"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/T12137","display_name":"Economic theories and models","score":0.9912999868392944,"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/price-of-anarchy","display_name":"Price of anarchy","score":0.8498262763023376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6560776829719543},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5905043482780457},{"id":"https://openalex.org/keywords/network-congestion","display_name":"Network congestion","score":0.47489041090011597},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.47214773297309875},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.46231609582901},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2589876353740692},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1530677080154419},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13546931743621826},{"id":"https://openalex.org/keywords/price-of-stability","display_name":"Price of stability","score":0.11944332718849182},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11226001381874084},{"id":"https://openalex.org/keywords/keynesian-economics","display_name":"Keynesian economics","score":0.10627436637878418},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.056866079568862915}],"concepts":[{"id":"https://openalex.org/C82149807","wikidata":"https://www.wikidata.org/wiki/Q7242623","display_name":"Price of anarchy","level":4,"score":0.8498262763023376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6560776829719543},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5905043482780457},{"id":"https://openalex.org/C195563490","wikidata":"https://www.wikidata.org/wiki/Q180368","display_name":"Network congestion","level":3,"score":0.47489041090011597},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.47214773297309875},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.46231609582901},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2589876353740692},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1530677080154419},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13546931743621826},{"id":"https://openalex.org/C188466206","wikidata":"https://www.wikidata.org/wiki/Q7242626","display_name":"Price of stability","level":3,"score":0.11944332718849182},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11226001381874084},{"id":"https://openalex.org/C165556158","wikidata":"https://www.wikidata.org/wiki/Q83937","display_name":"Keynesian economics","level":1,"score":0.10627436637878418},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.056866079568862915},{"id":"https://openalex.org/C126285488","wikidata":"https://www.wikidata.org/wiki/Q178476","display_name":"Monetary policy","level":2,"score":0.0},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11672142_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11672142_17","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W30680763","https://openalex.org/W1496361382","https://openalex.org/W1512531990","https://openalex.org/W1526250527","https://openalex.org/W1532725322","https://openalex.org/W1547756683","https://openalex.org/W1584892670","https://openalex.org/W1635399934","https://openalex.org/W1663599709","https://openalex.org/W1818377585","https://openalex.org/W1966132455","https://openalex.org/W1966217293","https://openalex.org/W1991582670","https://openalex.org/W1994032071","https://openalex.org/W1996249306","https://openalex.org/W2017227260","https://openalex.org/W2021677593","https://openalex.org/W2034184818","https://openalex.org/W2037822626","https://openalex.org/W2054129049","https://openalex.org/W2061145134","https://openalex.org/W2067050450","https://openalex.org/W2075004702","https://openalex.org/W2075113319","https://openalex.org/W2077066745","https://openalex.org/W2077787105","https://openalex.org/W2082848291","https://openalex.org/W2097568888","https://openalex.org/W2102736491","https://openalex.org/W2103802594","https://openalex.org/W2108934095","https://openalex.org/W2112269231","https://openalex.org/W2112794046","https://openalex.org/W2124332176","https://openalex.org/W2125537511","https://openalex.org/W2154518750","https://openalex.org/W2175706438","https://openalex.org/W2235269566","https://openalex.org/W2330024298","https://openalex.org/W2797415156","https://openalex.org/W3022321359","https://openalex.org/W3124735991","https://openalex.org/W3148958427","https://openalex.org/W4231608524","https://openalex.org/W4234761190","https://openalex.org/W4235425252","https://openalex.org/W4297563113"],"related_works":["https://openalex.org/W2760493735","https://openalex.org/W1547786806","https://openalex.org/W2052036526","https://openalex.org/W2766341542","https://openalex.org/W2034184818","https://openalex.org/W2486809103","https://openalex.org/W4210632858","https://openalex.org/W1999176895","https://openalex.org/W2053387401","https://openalex.org/W2952895152"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
