{"id":"https://openalex.org/W2296280118","doi":"https://doi.org/10.1007/978-3-662-48995-6_10","title":"On Stackelberg Strategies in Affine Congestion Games","display_name":"On Stackelberg Strategies in Affine Congestion Games","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2296280118","doi":"https://doi.org/10.1007/978-3-662-48995-6_10","mag":"2296280118"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-48995-6_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-48995-6_10","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/978-3-662-48995-6_10","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 \"Ennio De Giorgi\", University of Salento, Provinciale Lecce-Arnesano, P.O. Box 193, 73100, 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 \"Ennio De Giorgi\", University of Salento, Provinciale Lecce-Arnesano, P.O. Box 193, 73100, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030860500","display_name":"Cosimo Vinci","orcid":"https://orcid.org/0000-0001-7741-9342"},"institutions":[{"id":"https://openalex.org/I4210150763","display_name":"Gran Sasso Science Institute","ror":"https://ror.org/043qcb444","country_code":"IT","type":"education","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210150763"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Cosimo Vinci","raw_affiliation_strings":["Gran Sasso Science Institute, L\u2019Aquila, Italy","Gran Sasso Science Institute, L'Aquila, Italy"],"affiliations":[{"raw_affiliation_string":"Gran Sasso Science Institute, L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I4210150763"]},{"raw_affiliation_string":"Gran Sasso Science Institute, L'Aquila, Italy","institution_ids":["https://openalex.org/I4210150763"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027632307"],"corresponding_institution_ids":["https://openalex.org/I142910587"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":5.2337,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.95739232,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"132","last_page":"145"},"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/T12137","display_name":"Economic theories and models","score":0.9944000244140625,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.992900013923645,"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":0.9742340445518494},{"id":"https://openalex.org/keywords/stackelberg-competition","display_name":"Stackelberg competition","score":0.9619084596633911},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6800537109375},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.6731463670730591},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6582338809967041},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6543028354644775},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6254544258117676},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5146323442459106},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4915371835231781},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.4797705113887787},{"id":"https://openalex.org/keywords/price-of-stability","display_name":"Price of stability","score":0.29086577892303467},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.209262877702713},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.18196341395378113},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06338649988174438}],"concepts":[{"id":"https://openalex.org/C82149807","wikidata":"https://www.wikidata.org/wiki/Q7242623","display_name":"Price of anarchy","level":4,"score":0.9742340445518494},{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.9619084596633911},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6800537109375},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.6731463670730591},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6582338809967041},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6543028354644775},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6254544258117676},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5146323442459106},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4915371835231781},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.4797705113887787},{"id":"https://openalex.org/C188466206","wikidata":"https://www.wikidata.org/wiki/Q7242626","display_name":"Price of stability","level":3,"score":0.29086577892303467},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.209262877702713},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.18196341395378113},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06338649988174438},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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:10.1007/978-3-662-48995-6_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-48995-6_10","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-662-48995-6_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-48995-6_10","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W169126583","https://openalex.org/W1526250527","https://openalex.org/W1965228255","https://openalex.org/W1990715672","https://openalex.org/W1996249306","https://openalex.org/W2011144523","https://openalex.org/W2017227260","https://openalex.org/W2019543382","https://openalex.org/W2021677593","https://openalex.org/W2029456721","https://openalex.org/W2039786295","https://openalex.org/W2041462779","https://openalex.org/W2054129049","https://openalex.org/W2075004702","https://openalex.org/W2086748851","https://openalex.org/W2618717009","https://openalex.org/W2897806075"],"related_works":["https://openalex.org/W2296280118","https://openalex.org/W2903681332","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/W2600753667","https://openalex.org/W2733656312"],"abstract_inverted_index":{"We":[0,110],"investigate":[1],"the":[2,34,38,42,46,53,57,70,75,95,116,120,137],"efficiency":[3,60],"of":[4,25,36,45,56,61,69,72,74,106,122,124,139,141],"some":[5],"Stackelberg":[6,16,63,82],"strategies":[7,113],"in":[8,67,94],"congestion":[9],"games":[10],"with":[11,33],"affine":[12],"latency":[13],"functions.":[14],"A":[15],"strategy":[17,32,64],"is":[18,65],"an":[19],"algorithm":[20],"that":[21,41],"chooses":[22],"a":[23,30,62,132],"subset":[24],"players":[26,49],"and":[27,89,97,100,114,129,131],"assigns":[28],"them":[29],"prescribed":[31],"purpose":[35],"mitigating":[37],"detrimental":[39],"effect":[40],"selfish":[43],"behavior":[44],"remaining":[47],"uncoordinated":[48],"may":[50],"cause":[51],"to":[52],"overall":[54],"performance":[55],"system.":[58],"The":[59],"measured":[66],"terms":[68],"price":[71,105,121,138],"anarchy":[73,107,123,140],"pure":[76],"Nash":[77],"equilibria":[78],"they":[79],"induce.":[80],"Three":[81],"strategies,":[83],"namely":[84],"Largest":[85,126],"Latency":[86,127],"First,":[87],"Cover":[88,130],"Scale,":[90],"were":[91,108],"already":[92],"considered":[93],"literature":[96],"non-tight":[98],"upper":[99,134],"lower":[101],"bounds":[102],"on":[103,119,136],"their":[104],"given.":[109],"reconsider":[111],"these":[112],"provide":[115],"exact":[117],"bound":[118,135],"both":[125],"First":[128],"better":[133],"Scale.":[142]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
