{"id":"https://openalex.org/W1547756683","doi":"https://doi.org/10.1007/978-3-540-28629-5_44","title":"The Price of Anarchy for Polynomial Social Cost","display_name":"The Price of Anarchy for Polynomial Social Cost","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1547756683","doi":"https://doi.org/10.1007/978-3-540-28629-5_44","mag":"1547756683"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-28629-5_44","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-28629-5_44","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/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":["Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","University of Paderborn >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"University of Paderborn >  >  >  >","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041351482","display_name":"Thomas L\u00fccking","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":"Thomas L\u00fccking","raw_affiliation_strings":["Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","University of Paderborn >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"University of Paderborn >  >  >  >","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066537602","display_name":"Marios Mavronicolas","orcid":"https://orcid.org/0009-0009-0115-3045"},"institutions":[{"id":"https://openalex.org/I34771391","display_name":"University of Cyprus","ror":"https://ror.org/02qjrjx09","country_code":"CY","type":"education","lineage":["https://openalex.org/I34771391"]}],"countries":["CY"],"is_corresponding":false,"raw_author_name":"Marios Mavronicolas","raw_affiliation_strings":["Department of Computer Science, University of Cyprus, P.\u00a0O.\u00a0Box 20537, Nicosia, CY 1678, Cyprus","University of Cyprus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Cyprus, P.\u00a0O.\u00a0Box 20537, Nicosia, CY 1678, Cyprus","institution_ids":["https://openalex.org/I34771391"]},{"raw_affiliation_string":"University of Cyprus","institution_ids":["https://openalex.org/I34771391"]}]},{"author_position":"last","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":["Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","University of Paderborn >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"University of Paderborn >  >  >  >","institution_ids":["https://openalex.org/I206945453"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.4736,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.97102761,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"574","last_page":"585"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9997000098228455,"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":0.9997000098228455,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9939000010490417,"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":0.8969435095787048},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.8072454333305359},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7754970788955688},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5845926403999329},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.540250301361084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5305348634719849},{"id":"https://openalex.org/keywords/price-of-stability","display_name":"Price of stability","score":0.49244436621665955},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.46639320254325867},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36489051580429077},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33481496572494507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29001322388648987},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2431022822856903},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07043212652206421},{"id":"https://openalex.org/keywords/keynesian-economics","display_name":"Keynesian economics","score":0.05509310960769653}],"concepts":[{"id":"https://openalex.org/C82149807","wikidata":"https://www.wikidata.org/wiki/Q7242623","display_name":"Price of anarchy","level":4,"score":0.8969435095787048},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8072454333305359},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7754970788955688},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5845926403999329},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.540250301361084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5305348634719849},{"id":"https://openalex.org/C188466206","wikidata":"https://www.wikidata.org/wiki/Q7242626","display_name":"Price of stability","level":3,"score":0.49244436621665955},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.46639320254325867},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36489051580429077},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33481496572494507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29001322388648987},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2431022822856903},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07043212652206421},{"id":"https://openalex.org/C165556158","wikidata":"https://www.wikidata.org/wiki/Q83937","display_name":"Keynesian economics","level":1,"score":0.05509310960769653},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-28629-5_44","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-28629-5_44","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":[{"score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W295250325","https://openalex.org/W1518233575","https://openalex.org/W1526250527","https://openalex.org/W1532725322","https://openalex.org/W1579249907","https://openalex.org/W1579673954","https://openalex.org/W1600126641","https://openalex.org/W1602836799","https://openalex.org/W1663599709","https://openalex.org/W1668637896","https://openalex.org/W1753330597","https://openalex.org/W1976009178","https://openalex.org/W1993286459","https://openalex.org/W2012552037","https://openalex.org/W2017227260","https://openalex.org/W2021677593","https://openalex.org/W2027725119","https://openalex.org/W2029948740","https://openalex.org/W2030914480","https://openalex.org/W2052463720","https://openalex.org/W2053387401","https://openalex.org/W2054129049","https://openalex.org/W2056606651","https://openalex.org/W2061145134","https://openalex.org/W2067050450","https://openalex.org/W2075113319","https://openalex.org/W2082848291","https://openalex.org/W2088559962","https://openalex.org/W2102736491","https://openalex.org/W2112269231","https://openalex.org/W2112794046","https://openalex.org/W2121427654","https://openalex.org/W2121907157","https://openalex.org/W2124332176","https://openalex.org/W2125537511","https://openalex.org/W2129639820","https://openalex.org/W2153541270","https://openalex.org/W2154518750","https://openalex.org/W2177295793","https://openalex.org/W2330024298","https://openalex.org/W2406309358","https://openalex.org/W2611804663","https://openalex.org/W2764937720","https://openalex.org/W2797415156","https://openalex.org/W4213261054","https://openalex.org/W4234761190","https://openalex.org/W4235425252","https://openalex.org/W4240381901"],"related_works":["https://openalex.org/W2124332176","https://openalex.org/W2160126722","https://openalex.org/W2949732603","https://openalex.org/W2486809103","https://openalex.org/W2146457340","https://openalex.org/W2052463720","https://openalex.org/W2789714495","https://openalex.org/W4318973256","https://openalex.org/W2009106897","https://openalex.org/W1972926214"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}