{"id":"https://openalex.org/W7125680422","doi":"https://doi.org/10.48550/arxiv.2601.16579","title":"On Best-of-Both-Worlds Fairness via Sum-of-Variances Minimization","display_name":"On Best-of-Both-Worlds Fairness via Sum-of-Variances Minimization","publication_year":2026,"publication_date":"2026-01-23","ids":{"openalex":"https://openalex.org/W7125680422","doi":"https://doi.org/10.48550/arxiv.2601.16579"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2601.16579","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.16579","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":null,"license_id":null,"version":null,"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":"https://doi.org/10.48550/arxiv.2601.16579","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090426330","display_name":"Moshe Babaioff","orcid":"https://orcid.org/0000-0002-7066-2005"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Babaioff, Moshe","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5123881798","display_name":"Yuval Grofman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Grofman, Yuval","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090426330"],"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/T10991","display_name":"Game Theory and Voting Systems","score":0.49070000648498535,"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"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.49070000648498535,"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/T10883","display_name":"Ethics and Social Impacts of AI","score":0.17829999327659607,"subfield":{"id":"https://openalex.org/subfields/3311","display_name":"Safety Research"},"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/T11704","display_name":"Mobile Crowdsensing and Crowdsourcing","score":0.042500000447034836,"subfield":{"id":"https://openalex.org/subfields/1706","display_name":"Computer Science Applications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.7319999933242798},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5479000210762024},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.5303000211715698},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5138999819755554},{"id":"https://openalex.org/keywords/max-min-fairness","display_name":"Max-min fairness","score":0.4823000133037567},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.47690001130104065},{"id":"https://openalex.org/keywords/fair-share","display_name":"Fair share","score":0.41339999437332153},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.38089999556541443}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.7319999933242798},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5479000210762024},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5364999771118164},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.5303000211715698},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5138999819755554},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49129998683929443},{"id":"https://openalex.org/C177972170","wikidata":"https://www.wikidata.org/wiki/Q17097315","display_name":"Max-min fairness","level":3,"score":0.4823000133037567},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.47690001130104065},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4390000104904175},{"id":"https://openalex.org/C2992947560","wikidata":"https://www.wikidata.org/wiki/Q5167661","display_name":"Fair share","level":2,"score":0.41339999437332153},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.38089999556541443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3569999933242798},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.34200000762939453},{"id":"https://openalex.org/C162222271","wikidata":"https://www.wikidata.org/wiki/Q92779871","display_name":"Public good","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.3255000114440918},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.31119999289512634},{"id":"https://openalex.org/C11867375","wikidata":"https://www.wikidata.org/wiki/Q5430671","display_name":"Fairness measure","level":4,"score":0.29409998655319214},{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.2782999873161316},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.2759000062942505},{"id":"https://openalex.org/C194959371","wikidata":"https://www.wikidata.org/wiki/Q17056235","display_name":"Inequity aversion","level":3,"score":0.2736000120639801},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.27000001072883606},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.25119999051094055}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2601.16579","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.16579","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2601.16579","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.16579","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,113,137,167],"consider":[1],"the":[2,43,76,86,105,108,111,115,125,128,131,139,144,183,206,223,234,249,253],"problem":[3,122],"of":[4,9,75,107,110,117,127,130,143,149,196,226,244,271],"fairly":[5],"allocating":[6,245],"a":[7,29,48,161],"set":[8],"indivisible":[10],"goods":[11,27,91,247],"among":[12],"agents":[13,229],"with":[14],"additive":[15,235],"valuations.":[16],"Ex-ante":[17],"fairness":[18,141,178],"(proportionality)":[19],"can":[20],"trivially":[21],"be":[22,99,260],"obtained":[23],"by":[24,123],"giving":[25],"all":[26,90,180],"to":[28,92,98,119,134,248],"random":[30,96],"agent.":[31,251],"Yet,":[32],"such":[33,154,165],"an":[34,155,266],"allocation":[35,50,163,256],"is":[36,52,56,81,241],"very":[37],"unfair":[38],"ex-post.":[39],"This":[40],"has":[41],"motivated":[42],"Best-of-Both-Worlds":[44],"(BoBW)":[45],"approach,":[46,151],"seeking":[47],"randomized":[49],"that":[51,66,85,88,153,169,211,285],"ex-ante":[53,135],"proportional":[54,162],"and":[55,188,230,262],"supported":[57],"only":[58,227],"on":[59,64,288],"ex-post":[60,100,140,255],"fair":[61,101],"allocations":[62,65,181],"(e.g.,":[63],"are":[67,172,185,218,237,286],"envy-free-up-to-one-good":[68],"(EF1),":[69],"or":[70],"give":[71,265],"some":[72],"constant":[73,269],"fraction":[74,270],"maximin":[77,198],"share":[78,199],"(MMS)).":[79],"It":[80],"commonly":[82],"pointed":[83],"out":[84],"distribution":[87],"allocates":[89],"one":[93],"agent":[94,192,267],"at":[95,193],"fails":[97,215],"as":[102],"it":[103],"ignores":[104],"variances":[106],"values":[109,129],"agents.":[112],"examine":[114],"approach":[116,175,213],"trying":[118],"mitigate":[120],"this":[121,150,174,212],"minimizing":[124],"sum-of-variances":[126],"agents,":[132],"subject":[133],"proportionality.":[136],"study":[138],"properties":[142],"resulting":[145],"distributions.":[146],"In":[147],"support":[148,184],"observe":[152],"optimization":[156],"will":[157],"indeed":[158,176],"deterministically":[159],"output":[160],"if":[164],"exists.":[166],"show":[168,210],"when":[170,216,233],"valuations":[171,217,236],"identical,":[173,239],"guarantees":[177],"ex-post:":[179],"in":[182,222],"envy-free-up-to-any-good":[186],"(EFX),":[187],"thus":[189],"guarantee":[190],"every":[191],"least":[194],"4/7":[195],"her":[197,202,272],"(but":[200],"not":[201,219,238,258,264],"full":[203],"MMS).":[204],"On":[205],"negative":[207,278],"side,":[208],"we":[209,275],"completely":[214],"identical:":[220],"even":[221,259],"simplest":[224],"setting":[225],"two":[228,231],"goods,":[232],"there":[240],"positive":[242],"probability":[243],"both":[246],"same":[250],"Thus,":[252],"supporting":[254],"might":[257,263],"EF1,":[261],"any":[268],"MMS.":[273],"Finally,":[274],"present":[276],"similar":[277],"results":[279],"for":[280],"other":[281],"natural":[282],"minimization":[283],"objectives":[284],"based":[287],"variances.":[289]},"counts_by_year":[],"updated_date":"2026-01-27T23:31:10.601533","created_date":"2026-01-27T00:00:00"}
