{"id":"https://openalex.org/W3010780098","doi":"https://doi.org/10.1109/cdc40024.2019.9030121","title":"When Smoothness is Not Enough: Toward Exact Quantification and Optimization of the Price-of-Anarchy","display_name":"When Smoothness is Not Enough: Toward Exact Quantification and Optimization of the Price-of-Anarchy","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3010780098","doi":"https://doi.org/10.1109/cdc40024.2019.9030121","mag":"3010780098"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9030121","doi":"https://doi.org/10.1109/cdc40024.2019.9030121","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030121","pdf_url":null,"source":{"id":"https://openalex.org/S4210221977","display_name":"Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes","issn_l":"0191-2216","issn":["0191-2216"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"volume":null,"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/A5005103633","display_name":"Rahul Chandan","orcid":"https://orcid.org/0000-0002-6563-9599","observed_orcids":["https://orcid.org/0000-0002-6563-9599"]},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rahul Chandan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Center of Control Dynamical Systems and Computation, UC, Santa Barbara, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Center of Control Dynamical Systems and Computation, UC, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064645708","display_name":"Dario Paccagnan","orcid":"https://orcid.org/0000-0002-8541-6966","observed_orcids":["https://orcid.org/0000-0002-8541-6966"]},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dario Paccagnan","raw_affiliation_strings":["Department of Mechanical Engineering, Center of Control, Dynamical Systems and Computation, UC, Santa Barbara, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Center of Control, Dynamical Systems and Computation, UC, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003146330","display_name":"Jason R. Marden","orcid":"https://orcid.org/0000-0003-3260-8574","observed_orcids":["https://orcid.org/0000-0003-3260-8574"]},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jason R. Marden","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Center of Control Dynamical Systems and Computation, UC, Santa Barbara, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Center of Control Dynamical Systems and Computation, UC, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":null,"apc_paid":null,"fwci":5.046,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.96231083,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"4041","last_page":"4046"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9897000193595886,"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":0.9897000193595886,"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":0.0034000000450760126,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.00139999995008111,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/price-of-anarchy","display_name":"price of anarchy","score":0.9559999704360962},{"id":"https://openalex.org/keywords/generalized-smoothness","display_name":"generalized smoothness","score":0.9470000267028809},{"id":"https://openalex.org/keywords/efficiency-limits","display_name":"efficiency bounds","score":0.640999972820282},{"id":"https://openalex.org/keywords/game-design","display_name":"game design","score":0.6940000057220459},{"id":"https://openalex.org/keywords/distributed-algorithms","display_name":"distributed algorithms","score":0.7020000219345093},{"id":"https://openalex.org/keywords/multi-agent-systems","display_name":"multi-agent systems","score":0.8370000123977661},{"id":"https://openalex.org/keywords/linear-programming","display_name":"linear programming","score":0.6359999775886536},{"id":"https://openalex.org/keywords/approximation-ratio","display_name":"approximation ratio","score":0.4519999921321869}],"concepts":[{"id":"https://openalex.org/C82149807","wikidata":"https://www.wikidata.org/wiki/Q7242623","display_name":"Price of anarchy","level":4,"score":0.7915135622024536},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7116988897323608},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6979996562004089},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6795189380645752},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6076447367668152},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5169179439544678},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.458754301071167},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.4572543501853943},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4221495985984802},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32602956891059875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2200264036655426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11349773406982422},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09693402051925659},{"id":"https://openalex.org/C188466206","wikidata":"https://www.wikidata.org/wiki/Q7242626","display_name":"Price of stability","level":3,"score":0.0967816412448883},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C556758197","wikidata":"https://www.wikidata.org/wiki/Q580018","display_name":"Monetary economics","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc40024.2019.9030121","doi":"https://doi.org/10.1109/cdc40024.2019.9030121","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030121","pdf_url":null,"source":{"id":"https://openalex.org/S4210221977","display_name":"Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes","issn_l":"0191-2216","issn":["0191-2216"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/84035","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/84035","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W53738543","https://openalex.org/W646347605","https://openalex.org/W1490902438","https://openalex.org/W1573806924","https://openalex.org/W1576647638","https://openalex.org/W1600126641","https://openalex.org/W1808619423","https://openalex.org/W1988716172","https://openalex.org/W1989165177","https://openalex.org/W1997147068","https://openalex.org/W2017227260","https://openalex.org/W2021677593","https://openalex.org/W2044212084","https://openalex.org/W2052089350","https://openalex.org/W2054129049","https://openalex.org/W2061549692","https://openalex.org/W2066767736","https://openalex.org/W2115276154","https://openalex.org/W2122241715","https://openalex.org/W2133243407","https://openalex.org/W2294025081","https://openalex.org/W2324861975","https://openalex.org/W2344219546","https://openalex.org/W2511754421","https://openalex.org/W2761705922","https://openalex.org/W2929202631","https://openalex.org/W2963364412","https://openalex.org/W2964322278","https://openalex.org/W2968359733","https://openalex.org/W3010780098"],"related_works":["https://openalex.org/W2951123922","https://openalex.org/W2124332176","https://openalex.org/W2052463720","https://openalex.org/W1972926214","https://openalex.org/W2486809103","https://openalex.org/W2146273102","https://openalex.org/W1966704886","https://openalex.org/W1546123556","https://openalex.org/W2789714495","https://openalex.org/W3100431374"],"abstract_inverted_index":{"Today's":[0],"multiagent":[1],"systems":[2],"have":[3],"grown":[4],"too":[5],"complex":[6],"to":[7,32,87,103,130,169],"rely":[8],"on":[9,100],"centralized":[10],"controllers,":[11],"prompting":[12],"increasing":[13],"interest":[14],"in":[15,82,167],"the":[16,44,62,73,83,95,101,107,114,122,134,144,148,159,171,174],"design":[17,97],"of":[18,46,68,72,94,116,150,173,179],"distributed":[19],"algorithms.":[20],"In":[21],"this":[22,41,110,139],"respect,":[23],"game":[24,75,96],"theory":[25],"has":[26],"emerged":[27],"as":[28],"a":[29,91,180],"valuable":[30],"tool":[31],"complement":[33],"more":[34],"traditional":[35,135],"techniques.":[36],"The":[37],"fundamental":[38],"idea":[39],"behind":[40],"approach":[42,98],"is":[43,58],"assignment":[45],"agents'":[47,160],"local":[48,151,161],"cost":[49],"functions,":[50],"such":[51],"that":[52,80,121],"their":[53],"selfish":[54],"minimization":[55],"attains,":[56],"or":[57],"provably":[59],"close":[60],"to,":[61],"global":[63],"objective.":[64],"Any":[65],"algorithm":[66],"capable":[67],"computing":[69],"an":[70,77],"equilibrium":[71,108,145],"corresponding":[74,175],"inherits":[76],"approximation":[78],"ratio":[79],"is,":[81],"worst":[84],"case,":[85],"equal":[86],"its":[88],"price-of-anarchy.":[89],"Therefore,":[90],"successful":[92],"application":[93],"hinges":[99],"possibility":[102],"quantify":[104,143],"and":[105,119],"optimize":[106,170],"performance.Toward":[109],"end,":[111],"we":[112,142,156],"introduce":[113],"notion":[115],"generalized":[117],"smoothness,":[118],"show":[120,157],"resulting":[123],"efficiency":[124,172],"bounds":[125],"are":[126],"significantly":[127],"tighter":[128],"compared":[129],"those":[131],"obtained":[132],"using":[133],"smoothness":[136],"approach.":[137],"Leveraging":[138],"newly-introduced":[140],"notion,":[141],"performance":[146],"for":[147],"class":[149],"resource":[152],"allocation":[153],"games.":[154],"Finally,":[155],"how":[158],"decision":[162],"rules":[163],"can":[164],"be":[165],"designed":[166],"order":[168],"equilibria,":[176],"by":[177],"means":[178],"tractable":[181],"linear":[182],"program.":[183]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}
