{"id":"https://openalex.org/W3034461526","doi":"https://doi.org/10.1145/3355946","title":"Dynamic Taxes for Polynomial Congestion Games","display_name":"Dynamic Taxes for Polynomial Congestion Games","publication_year":2019,"publication_date":"2019-08-31","ids":{"openalex":"https://openalex.org/W3034461526","doi":"https://doi.org/10.1145/3355946","mag":"3034461526"},"language":"en","primary_location":{"id":"doi:10.1145/3355946","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3355946","pdf_url":null,"source":{"id":"https://openalex.org/S4210173995","display_name":"ACM Transactions on Economics and Computation","issn_l":"2167-8375","issn":["2167-8375","2167-8383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Economics and Computation","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":["University of Salento, Lecce, Italy"],"affiliations":[{"raw_affiliation_string":"University of Salento, 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/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Cosimo Vinci","raw_affiliation_strings":["University of L\u2019Aquila, Italy","University of L'Aquila, Italy"],"affiliations":[{"raw_affiliation_string":"University of L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"University of L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]}],"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":null,"apc_paid":null,"fwci":2.3767,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.89540156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"7","issue":"3","first_page":"1","last_page":"36"},"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":0.9986000061035156,"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":0.992900013923645,"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.6863677501678467},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5504187941551208},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5176137685775757},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5050633549690247},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.48637655377388},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4555242955684662},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45133548974990845},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.44512319564819336},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34900322556495667},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.28371185064315796},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16228404641151428}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6863677501678467},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5504187941551208},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5176137685775757},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5050633549690247},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.48637655377388},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4555242955684662},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45133548974990845},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44512319564819336},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34900322556495667},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.28371185064315796},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16228404641151428},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3355946","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3355946","pdf_url":null,"source":{"id":"https://openalex.org/S4210173995","display_name":"ACM Transactions on Economics and Computation","issn_l":"2167-8375","issn":["2167-8375","2167-8383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Economics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1625452085","https://openalex.org/W1965228255","https://openalex.org/W1978317291","https://openalex.org/W1981678289","https://openalex.org/W1990715672","https://openalex.org/W1997147068","https://openalex.org/W2011144523","https://openalex.org/W2019543382","https://openalex.org/W2037822626","https://openalex.org/W2041462779","https://openalex.org/W2054129049","https://openalex.org/W2067050450","https://openalex.org/W2070173191","https://openalex.org/W2075004702","https://openalex.org/W2095094403","https://openalex.org/W2118717209","https://openalex.org/W2126014631","https://openalex.org/W2141753937","https://openalex.org/W2145531546","https://openalex.org/W2150107383","https://openalex.org/W2169988108","https://openalex.org/W2171306573","https://openalex.org/W2810387876","https://openalex.org/W2912507046","https://openalex.org/W2914699946","https://openalex.org/W3003948755","https://openalex.org/W3121437753","https://openalex.org/W3155157870","https://openalex.org/W4250589301","https://openalex.org/W6667799882"],"related_works":["https://openalex.org/W2038416447","https://openalex.org/W2364151838","https://openalex.org/W1972035260","https://openalex.org/W2066926363","https://openalex.org/W2354159744","https://openalex.org/W2351539857","https://openalex.org/W2381972071","https://openalex.org/W4301382669","https://openalex.org/W4210735314","https://openalex.org/W2092374696"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,14,47,53,97,115,118,138,141,167],"efficiency":[3],"of":[4,16,52,73,107,117,170],"taxation":[5,108],"in":[6,39,131],"congestion":[7],"games":[8,40],"with":[9,41,68,114,127],"polynomial":[10],"latency":[11,119],"functions":[12],"along":[13],"line":[15],"research":[17],"initiated":[18],"by":[19,165,179],"Caragiannis":[20],"et":[21],"al.":[22],"[":[23],"ACM":[24],"Transactions":[25],"on":[26,32,56,181],"Algorithms":[27,60],",":[28,61],"2010],":[29],"who":[30],"focused":[31],"both":[33],"pure":[34,80],"and":[35,58,89,133,140],"mixed":[36],"Nash":[37,81],"equilibria":[38,82],"affine":[42],"latencies":[43],"only.":[44],"By":[45],"exploiting":[46,166],"primal-dual":[48],"method":[49],"[Bil\u00f2,":[50],"Proceedings":[51],"10th":[54],"Workshop":[55],"Approximation":[57],"Online":[59],"2012],":[62],"we":[63,148],"obtain":[64],"interesting":[65],"upper":[66,161],"bounds":[67,162,176],"respect":[69],"to":[70,84],"a":[71,103,124],"variety":[72],"different":[74],"solution":[75],"concepts":[76],"ranging":[77],"from":[78,96],"approximate":[79,85,92],"up":[83],"coarse":[86],"correlated":[87],"equilibria,":[88],"including":[90],"also":[91,150],"one-round":[93],"walks":[94],"starting":[95],"empty":[98],"state.":[99],"Our":[100],"findings":[101],"show":[102,151],"high":[104],"beneficial":[105],"effect":[106],"that":[109],"increases":[110],"more":[111],"than":[112],"linearly":[113],"degree":[116],"functions.":[120],"In":[121,145],"some":[122,128],"cases,":[123,147],"tight":[125],"relationship":[126],"well-studied":[129],"polynomials":[130],"Combinatorics":[132],"Number":[134],"Theory,":[135],"such":[136],"as":[137],"Touchard":[139],"Geometric":[142],"polynomials,":[143,172],"arises.":[144],"these":[146,171],"can":[149],"matching":[152],"lower":[153,175],"bounds,":[154],"albeit":[155],"under":[156],"mild":[157],"assumptions;":[158],"interestingly,":[159],"our":[160,174],"are":[163,177],"derived":[164],"combinatorial":[168],"definition":[169],"while":[173],"constructed":[178],"relying":[180],"their":[182],"analytical":[183],"characterization.":[184]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}