{"id":"https://openalex.org/W7129039781","doi":"https://doi.org/10.48550/arxiv.2602.12632","title":"Additively Competitive Secretaries","display_name":"Additively Competitive Secretaries","publication_year":2026,"publication_date":"2026-02-13","ids":{"openalex":"https://openalex.org/W7129039781","doi":"https://doi.org/10.48550/arxiv.2602.12632"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.12632","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018777906","display_name":"Mohammad Mahdian","orcid":"https://orcid.org/0000-0001-6294-0039"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mahdian, Mohammad","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091374832","display_name":"Jieming Mao","orcid":"https://orcid.org/0000-0001-8416-0172"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mao, Jieming","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030082886","display_name":"Enze Sun","orcid":"https://orcid.org/0009-0005-5627-7900"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sun, Enze","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126171144","display_name":"Kangning Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Kangning","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5126074286","display_name":"Yifan Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Yifan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5018777906"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T12288","display_name":"Optimization and Search Problems","score":0.9375,"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"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9375,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.040699999779462814,"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/T11031","display_name":"Game Theory and Applications","score":0.00570000009611249,"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/regret","display_name":"Regret","score":0.9513000249862671},{"id":"https://openalex.org/keywords/hindsight-bias","display_name":"Hindsight bias","score":0.8812999725341797},{"id":"https://openalex.org/keywords/revenue","display_name":"Revenue","score":0.6165000200271606},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5537999868392944},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.510699987411499},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45719999074935913}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.9513000249862671},{"id":"https://openalex.org/C10347200","wikidata":"https://www.wikidata.org/wiki/Q1960297","display_name":"Hindsight bias","level":2,"score":0.8812999725341797},{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.6165000200271606},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5537999868392944},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.510699987411499},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45719999074935913},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4519999921321869},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.44190001487731934},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4262999892234802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3955000042915344},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.39480000734329224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3806000053882599},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.36500000953674316},{"id":"https://openalex.org/C102408133","wikidata":"https://www.wikidata.org/wiki/Q5156350","display_name":"Competitive analysis","level":3,"score":0.36309999227523804},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.33410000801086426},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.28949999809265137},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.27959999442100525},{"id":"https://openalex.org/C183211740","wikidata":"https://www.wikidata.org/wiki/Q1372364","display_name":"Secretary problem","level":3,"score":0.2533000111579895}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.12632","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.12632","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.12632","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.12632","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,192],"the":[1,34,50,68,75,79,96,101,106,111,115,131,148,168,171,221,232],"secretary":[2,7],"problem,":[3],"a":[4,11,58,84,135,156,180,187,203],"set":[5],"of":[6,37,56,87,98,114,137,150,158,173,182,190],"candidates":[8,223],"arrive":[9],"in":[10,71,197,214],"uniformly":[12],"random":[13],"order":[14],"and":[15,30,73,110,125,170],"reveal":[16],"their":[17],"values":[18],"one":[19,28],"by":[20,143],"one.":[21],"A":[22],"company,":[23],"who":[24],"can":[25,154,178,201],"only":[26],"hire":[27,49],"candidate":[29],"hopes":[31],"to":[32,41,48,61],"maximize":[33],"expected":[35,112],"value":[36,120],"its":[38,63],"hire,":[39],"needs":[40],"make":[42],"irrevocable":[43],"online":[44],"decisions":[45],"about":[46],"whether":[47],"current":[51],"candidate.":[52],"The":[53,127],"classical":[54,132],"framework":[55,94,133],"evaluating":[57],"policy":[59,77,200],"is":[60,121,165],"compute":[62],"worst-case":[64,102],"competitive":[65,85],"ratio":[66,86],"against":[67],"optimal":[69,107],"solution":[70,109],"hindsight,":[72],"there":[74],"best":[76],"--":[78,82,100],"``$1/e$":[80],"law''":[81],"has":[83,134],"$1/e$.":[88],"We":[89],"propose":[90],"an":[91],"alternative":[92],"evaluation":[93],"through":[95],"lens":[97],"regret":[99,136,157,181,204],"additive":[103],"difference":[104],"between":[105,123],"hindsight":[108],"performance":[113],"policy,":[116],"assuming":[117],"that":[118,147,196],"each":[119],"normalized":[122],"$0$":[124],"$1$.":[126],"$1/e$":[128],"law":[129],"for":[130,224],"$1":[138],"-":[139],"1/e":[140],"\\approx":[141],"0.632$;":[142],"contrast,":[144],"we":[145,194,210],"show":[146,195],"class":[149,172],"``pricing":[151],"curves''":[152,176],"algorithms":[153,177],"guarantee":[155,179,205],"at":[159,183],"most":[160,184],"$1/4":[161],"=":[162],"0.25$":[163],"(which":[164],"tight":[166],"within":[167],"class),":[169],"``best-only":[174],"pricing":[175],"$0.190$":[185],"(with":[186],"lower":[188],"bound":[189],"$0.171$).":[191],"addition,":[193],"general,":[198],"no":[199],"give":[202],"better":[206],"than":[207],"$0.152$.":[208],"Finally,":[209],"discuss":[211],"other":[212],"objectives":[213],"our":[215],"regret-minimization":[216],"framework,":[217],"such":[218],"as":[219],"selecting":[220],"top-$k$":[222],"$k":[225],"&gt;":[226],"1$,":[227],"or":[228],"maximizing":[229],"revenue":[230],"during":[231],"selection":[233],"process.":[234]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-17T00:00:00"}
