{"id":"https://openalex.org/W4390100610","doi":"https://doi.org/10.1109/focs57990.2023.00016","title":"Convergence of Approximate and Packet Routing Equilibria to Nash Flows Over Time","display_name":"Convergence of Approximate and Packet Routing Equilibria to Nash Flows Over Time","publication_year":2023,"publication_date":"2023-11-06","ids":{"openalex":"https://openalex.org/W4390100610","doi":"https://doi.org/10.1109/focs57990.2023.00016"},"language":"en","primary_location":{"id":"doi:10.1109/focs57990.2023.00016","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/focs57990.2023.00016","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://researchonline.lse.ac.uk/id/eprint/120818/1/Convergence_of_approximate_and_packet_routing_equilibria_to_Nash_flows_over_time.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071590414","display_name":"Neil Olver","orcid":"https://orcid.org/0000-0001-8897-5459"},"institutions":[{"id":"https://openalex.org/I909854389","display_name":"London School of Economics and Political Science","ror":"https://ror.org/0090zs177","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I909854389"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Neil Olver","raw_affiliation_strings":["London School of Economics and Political Science,Department of Mathematics,London,UK","Department of Mathematics, London School of Economics and Political Science, London, UK"],"affiliations":[{"raw_affiliation_string":"London School of Economics and Political Science,Department of Mathematics,London,UK","institution_ids":["https://openalex.org/I909854389"]},{"raw_affiliation_string":"Department of Mathematics, London School of Economics and Political Science, London, UK","institution_ids":["https://openalex.org/I909854389"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017735217","display_name":"Leon Sering","orcid":"https://orcid.org/0000-0003-2953-1115"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Leon Sering","raw_affiliation_strings":["ETH Z&#x00FC;rich,Department of Mathematics,Zurich,Switzerland"],"affiliations":[{"raw_affiliation_string":"ETH Z&#x00FC;rich,Department of Mathematics,Zurich,Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007088932","display_name":"Laura Vargas Koch","orcid":"https://orcid.org/0000-0002-7499-5958"},"institutions":[{"id":"https://openalex.org/I4387155550","display_name":"Center for Mathematical Modeling","ror":"https://ror.org/00wz2vk41","country_code":"CL","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4387155550","https://openalex.org/I69737025"]},{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Laura Vargas Koch","raw_affiliation_strings":["Universidad de Chile Zurich,Center for Mathematical Modeling, ETH Z&#x00FC;rich,Department of Mathematics,Switzerland,Santiago,Chile"],"affiliations":[{"raw_affiliation_string":"Universidad de Chile Zurich,Center for Mathematical Modeling, ETH Z&#x00FC;rich,Department of Mathematics,Switzerland,Santiago,Chile","institution_ids":["https://openalex.org/I69737025","https://openalex.org/I4387155550"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5071590414"],"corresponding_institution_ids":["https://openalex.org/I909854389"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1858129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"123","last_page":"133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10138","display_name":"Network Traffic and Congestion Control","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.7476202249526978},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6911945343017578},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.638419508934021},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5229157209396362},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.47512155771255493},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37672075629234314},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.347388356924057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17715707421302795},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10306164622306824}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7476202249526978},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6911945343017578},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.638419508934021},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5229157209396362},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.47512155771255493},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37672075629234314},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.347388356924057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17715707421302795},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10306164622306824},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/focs57990.2023.00016","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/focs57990.2023.00016","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS)","raw_type":"proceedings-article"},{"id":"pmh:oai:researchonline.lse.ac.uk:120818","is_oa":true,"landing_page_url":"https://orcid.org/0000-0001-8897-5459>,","pdf_url":"https://researchonline.lse.ac.uk/id/eprint/120818/1/Convergence_of_approximate_and_packet_routing_equilibria_to_Nash_flows_over_time.pdf","source":{"id":"https://openalex.org/S4306401594","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":{"id":"pmh:oai:researchonline.lse.ac.uk:120818","is_oa":true,"landing_page_url":"https://orcid.org/0000-0001-8897-5459>,","pdf_url":"https://researchonline.lse.ac.uk/id/eprint/120818/1/Convergence_of_approximate_and_packet_routing_equilibria_to_Nash_flows_over_time.pdf","source":{"id":"https://openalex.org/S4306401594","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4390100610.pdf","grobid_xml":"https://content.openalex.org/works/W4390100610.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1981248079","https://openalex.org/W2007051395","https://openalex.org/W2019300822","https://openalex.org/W2065929266","https://openalex.org/W2084427019","https://openalex.org/W2106700782","https://openalex.org/W2172302361","https://openalex.org/W2332395423","https://openalex.org/W2611395148","https://openalex.org/W2787757736","https://openalex.org/W2890097399","https://openalex.org/W2950891010","https://openalex.org/W2953052384","https://openalex.org/W2962924813","https://openalex.org/W3015891365","https://openalex.org/W3021661673","https://openalex.org/W3043654091","https://openalex.org/W3043816729","https://openalex.org/W3089745273","https://openalex.org/W3091166571","https://openalex.org/W3101642740","https://openalex.org/W3121164368","https://openalex.org/W3127749509","https://openalex.org/W3133705957","https://openalex.org/W3136466262","https://openalex.org/W3165668704","https://openalex.org/W3178112107","https://openalex.org/W3200636215","https://openalex.org/W3202852540","https://openalex.org/W3214080317","https://openalex.org/W4205922589","https://openalex.org/W4214928630","https://openalex.org/W4240466343","https://openalex.org/W4297563113","https://openalex.org/W6685213032","https://openalex.org/W6752924966"],"related_works":["https://openalex.org/W4210735314","https://openalex.org/W2092374696","https://openalex.org/W2111375262","https://openalex.org/W1705316893","https://openalex.org/W1517908938","https://openalex.org/W1991205173","https://openalex.org/W2109048960","https://openalex.org/W2129581964","https://openalex.org/W2741481635","https://openalex.org/W4315489088"],"abstract_inverted_index":{"We":[0,126,218],"consider":[1],"a":[2,10,26,29,59,70,81,101,135,174,188,195],"dynamic":[3,157,209],"model":[4,54,67],"of":[5,12,72,84,94,104,184,197],"traffic":[6,73,92],"that":[7,129,172,202,221],"has":[8],"received":[9],"lot":[11],"attention":[13],"in":[14,65,130,159,179,187,211],"the":[15,51,56,79,160,207,212,224],"past":[16],"few":[17],"years.":[18],"Infinitesimally":[19],"small":[20],"agents":[21],"aim":[22],"to":[23,28,77,143,151,156,206],"travel":[24,124],"from":[25,231],"source":[27],"destination":[30],"as":[31,33,69,214],"quickly":[32],"possible.":[34],"Flow":[35],"patterns":[36],"vary":[37],"over":[38,162],"time,":[39],"and":[40,145,200],"congestion":[41],"effects":[42],"are":[43,118],"modeled":[44],"via":[45],"queues,":[46],"which":[47],"form":[48],"based":[49],"on":[50],"deterministic":[52],"queueing":[53],"whenever":[55],"inflow":[57],"into":[58],"link":[60],"exceeds":[61],"its":[62],"capacity.Are":[63],"equilibria":[64,154,158],"this":[66,76,232],"meaningful":[68],"prediction":[71],"behavior?":[74],"For":[75],"be":[78,229],"case,":[80],"certain":[82],"notion":[83,196],"stability":[85],"under":[86],"ongoing":[87],"perturbations":[88],"is":[89],"needed.":[90],"Real":[91],"consists":[93],"discrete,":[95],"atomic":[96],"\u201cpackets\u201d,":[97],"rather":[98],"than":[99],"being":[100],"continuous":[102],"flow":[103,161],"non-atomic":[105],"agents.":[106],"Users":[107],"may":[108],"not":[109],"choose":[110],"an":[111],"absolutely":[112],"quickest":[113],"route":[114],"available,":[115],"if":[116],"there":[117],"multiple":[119],"routes":[120],"with":[121,139,147,233],"very":[122],"similar":[123],"times.":[125],"would":[127],"hope":[128],"both":[131,183],"these":[132,185,203],"situations":[133],"-":[134,149,153],"discrete":[136],"packet":[137,140],"model,":[138],"size":[141],"going":[142,150],"0,":[144],"$\\varepsilon$-equilibria,":[146,199],"$\\varepsilon$":[148],"0":[152],"converge":[155,205],"time":[163],"model.":[164],"No":[165],"such":[166,173],"convergence":[167,175],"results":[168,222],"were":[169],"known.We":[170],"show":[171,201,220],"result":[176],"does":[177],"hold":[178],"single-commodity":[180],"instances":[181],"for":[182,223],"settings,":[186],"unified":[189],"way.":[190],"More":[191],"precisely,":[192],"we":[193],"introduce":[194],"\u201cstrict\u201d":[198],"must":[204],"exact":[208],"equilibrium":[210],"limit":[213],"$\\varepsilon":[215],"\\rightarrow":[216],"0$.":[217],"then":[219],"two":[225],"settings":[226],"mentioned":[227],"can":[228],"deduced":[230],"only":[234],"moderate":[235],"further":[236],"technical":[237],"effort.":[238]},"counts_by_year":[],"updated_date":"2026-03-30T08:08:38.191290","created_date":"2025-10-10T00:00:00"}
