{"id":"https://openalex.org/W7213608202","doi":"https://doi.org/10.48550/arxiv.2609.19963","title":"Exact Regret Frontiers and Externality Scheduling in Centralized Serial-Dictatorship Bandits","display_name":"Exact Regret Frontiers and Externality Scheduling in Centralized Serial-Dictatorship Bandits","publication_year":2026,"publication_date":"2026-09-17","ids":{"openalex":"https://openalex.org/W7213608202","doi":"https://doi.org/10.48550/arxiv.2609.19963"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.19963","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.19963","pdf_url":"https://arxiv.org/pdf/2609.19963","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.19963","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152139321","display_name":"Lishang Xu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Xu, Lishang","raw_affiliation_strings":["University of Bern"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bern","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5152133080","display_name":"Guodong Ma","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Ma, Guodong","raw_affiliation_strings":["EPFL University of Bern University of Bern University of Bern"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPFL University of Bern University of Bern University of Bern","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5152136966","display_name":"Pengcheng Weng","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Weng, Pengcheng","raw_affiliation_strings":["EPFL University of Bern University of Bern University of Bern"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPFL University of Bern University of Bern University of Bern","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104330332","display_name":"Zixuan Xia","orcid":"https://orcid.org/0009-0003-5054-1745","observed_orcids":["https://orcid.org/0009-0003-5054-1745"]},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Xia, Zixuan","raw_affiliation_strings":["EPFL University of Bern University of Bern University of Bern"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPFL University of Bern University of Bern University of Bern","institution_ids":["https://openalex.org/I118564535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I118564535"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9994999766349792,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9994999766349792,"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/T12288","display_name":"Optimization and Search Problems","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":9.999999747378752e-05,"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/pareto-optimality","display_name":"Pareto optimality","score":0.6010000109672546},{"id":"https://openalex.org/keywords/linear-programming","display_name":"linear programming","score":0.4309999942779541},{"id":"https://openalex.org/keywords/regret-minimization","display_name":"regret minimization","score":0.42500001192092896}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.8877999782562256},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6317999958992004},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6039000153541565},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.6004999876022339},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.5849999785423279},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5508000254631042},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4546000063419342},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44999998807907104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42989999055862427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3833000063896179},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.38109999895095825},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.37040001153945923},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.33559998869895935},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3336000144481659},{"id":"https://openalex.org/C16118543","wikidata":"https://www.wikidata.org/wiki/Q275372","display_name":"Externality","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.30480000376701355},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2892000079154968},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.27410000562667847},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.2549999952316284}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.19963","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.19963","pdf_url":"https://arxiv.org/pdf/2609.19963","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.19963","doi":"https://doi.org/10.48550/arxiv.2609.19963","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.19963","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.19963","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.19963","pdf_url":"https://arxiv.org/pdf/2609.19963","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213608202.pdf","grobid_xml":"https://content.openalex.org/works/W7213608202.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4316652439","https://openalex.org/W4399852235","https://openalex.org/W3172746919","https://openalex.org/W1640961991","https://openalex.org/W3131887901","https://openalex.org/W3037226896","https://openalex.org/W7169072442","https://openalex.org/W4416073781","https://openalex.org/W3110807238","https://openalex.org/W4291584769"],"abstract_inverted_index":{"Exploration":[0],"in":[1],"centralized":[2],"serial-dictatorship":[3],"matching":[4],"bandits":[5],"must":[6],"use":[7],"complete":[8],"matchings,":[9],"so":[10],"learning":[11],"one":[12],"player-arm":[13],"pair":[14],"can":[15,93,110],"impose":[16],"regret":[17,70,114],"on":[18,125],"others.":[19],"We":[20,36,103],"study":[21],"this":[22],"externality":[23],"under":[24],"a":[25,55],"known":[26],"common":[27],"priority":[28],"order":[29],"and":[30,81],"Gaussian":[31],"rewards":[32],"with":[33],"unit":[34],"variance.":[35],"show":[37,105],"that":[38,106,130],"the":[39,63,77,99,126],"matching-level":[40],"Graves-Lai":[41,91],"constraints":[42],"reduce":[43],"to":[44,85],"finitely":[45],"many":[46],"pairwise":[47],"exploration":[48,108],"quotas":[49,109],"and,":[50],"at":[51],"top-choice-separated":[52],"instances,":[53,62],"yield":[54],"polynomial-size":[56],"marginal":[57],"linear":[58],"program.":[59],"At":[60],"these":[61],"exact":[64],"attainable":[65],"set":[66,80],"of":[67],"expected":[68],"logarithmic":[69],"coefficients":[71],"is":[72,76,144],"$G(\u03b8)\\mathcal{X}(\u03b8)$,":[73],"where":[74],"$\\mathcal{X}$":[75],"feasible":[78],"matching-allocation":[79],"$G$":[82],"maps":[83],"allocations":[84],"player":[86],"regret.":[87],"The":[88],"usual":[89],"upper-closed":[90],"region":[92],"be":[94],"strictly":[95],"larger":[96],"despite":[97],"having":[98],"same":[100],"Pareto-minimal":[101,142],"boundary.":[102],"further":[104],"identical":[107],"induce":[111],"very":[112],"different":[113],"through":[115,148],"their":[116],"scheduling.":[117],"Finally,":[118],"we":[119],"construct":[120],"estimate-solve-track":[121],"policies,":[122],"uniformly":[123],"good":[124],"full":[127],"row-strict":[128],"class,":[129],"attain":[131],"every":[132],"fixed":[133],"positively":[134],"weighted":[135],"optimum":[136],"without":[137],"assuming":[138],"optimizer":[139],"uniqueness.":[140],"Every":[141],"point":[143],"pointwise":[145],"attainable,":[146],"possibly":[147],"an":[149],"instance-calibrated":[150],"target.":[151]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-19T00:00:00"}