{"id":"https://openalex.org/W2284908081","doi":"https://doi.org/10.1137/16m1061783","title":"Who Can Win a Single-Elimination Tournament?","display_name":"Who Can Win a Single-Elimination Tournament?","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2284908081","doi":"https://doi.org/10.1137/16m1061783","mag":"2284908081"},"language":"en","primary_location":{"id":"doi:10.1137/16m1061783","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1061783","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1511.08416","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039980118","display_name":"Michael P. Kim","orcid":"https://orcid.org/0000-0002-8269-854X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michael P. Kim","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082525642","display_name":"Warut Suksompong","orcid":"https://orcid.org/0000-0001-8973-2539"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Warut Suksompong","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044244682","display_name":"Virginia Vassilevska Williams","orcid":"https://orcid.org/0000-0003-4844-2863"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Virginia Vassilevska Williams","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039980118"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.887,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.97882538,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"31","issue":"3","first_page":"1751","last_page":"1764"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11674","display_name":"Sports Analytics and Performance","score":0.9990000128746033,"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/T11674","display_name":"Sports Analytics and Performance","score":0.9990000128746033,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9969000220298767,"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":0.9812999963760376,"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/tournament","display_name":"Tournament","score":0.9847400188446045},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.792971670627594},{"id":"https://openalex.org/keywords/tournament-selection","display_name":"Tournament selection","score":0.6107176542282104},{"id":"https://openalex.org/keywords/condorcet-method","display_name":"Condorcet method","score":0.5454384684562683},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5440645813941956},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4835805296897888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47291597723960876},{"id":"https://openalex.org/keywords/outcome","display_name":"Outcome (game theory)","score":0.4202970266342163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39083725214004517},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3906604051589966},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.2917458713054657},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29052677750587463},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24281635880470276},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.08437547087669373}],"concepts":[{"id":"https://openalex.org/C136975688","wikidata":"https://www.wikidata.org/wiki/Q1320634","display_name":"Tournament","level":2,"score":0.9847400188446045},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.792971670627594},{"id":"https://openalex.org/C165661538","wikidata":"https://www.wikidata.org/wiki/Q7829327","display_name":"Tournament selection","level":3,"score":0.6107176542282104},{"id":"https://openalex.org/C140940377","wikidata":"https://www.wikidata.org/wiki/Q868720","display_name":"Condorcet method","level":4,"score":0.5454384684562683},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5440645813941956},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4835805296897888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47291597723960876},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.4202970266342163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39083725214004517},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3906604051589966},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.2917458713054657},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29052677750587463},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24281635880470276},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.08437547087669373},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/16m1061783","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1061783","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1511.08416","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1511.08416","pdf_url":"https://arxiv.org/pdf/1511.08416","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1511.08416","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1511.08416","pdf_url":"https://arxiv.org/pdf/1511.08416","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W30978599","https://openalex.org/W125413244","https://openalex.org/W173833138","https://openalex.org/W1484675474","https://openalex.org/W1640822234","https://openalex.org/W1943736773","https://openalex.org/W1978717786","https://openalex.org/W2020516048","https://openalex.org/W2060990051","https://openalex.org/W2134014252","https://openalex.org/W2191938479","https://openalex.org/W2210143302","https://openalex.org/W2295945410","https://openalex.org/W2408105292","https://openalex.org/W2526894620","https://openalex.org/W2620561399"],"related_works":["https://openalex.org/W2909372716","https://openalex.org/W3029891807","https://openalex.org/W1572785861","https://openalex.org/W2060588821","https://openalex.org/W3003862557","https://openalex.org/W4352981148","https://openalex.org/W1571917368","https://openalex.org/W140783093","https://openalex.org/W2948616393","https://openalex.org/W2043607118"],"abstract_inverted_index":{"A":[0,19],"single-elimination":[1],"(SE)":[2],"tournament":[3,26,40,45,109,119,146],"is":[4,24,76,162],"a":[5,10,39,80],"popular":[6],"way":[7],"to":[8,78],"select":[9],"winner":[11,157],"both":[12],"in":[13,17,142],"sports":[14],"competitions":[15],"and":[16,21,69,116,125],"elections.":[18],"natural":[20],"well-studied":[22],"question":[23],"the":[25,31,48,53,64,70,83,86,97,100,149,160],"fixing":[27],"problem":[28],"(TFP):":[29],"given":[30],"set":[32,101],"of":[33,102],"all":[34],"pairwise":[35,65],"match":[36,66],"outcomes,":[37],"can":[38,105],"organizer":[41],"rig":[42],"an":[43,107,143,155],"SE":[44,108,114,156],"by":[46,148],"adjusting":[47],"initial":[49],"seeding":[50,81,112],"so":[51],"that":[52,104,139],"organizer's":[54],"favorite":[55,71],"player":[56,84,141,145],"wins?":[57],"We":[58,94,179],"prove":[59],"new":[60,182],"sufficient":[61],"conditions":[62],"on":[63,129],"outcome":[67],"information":[68],"player,":[72],"under":[73,110],"which":[74],"there":[75],"guaranteed":[77],"be":[79,154],"where":[82],"wins":[85],"tournament.":[87],"Our":[88],"results":[89,174,183],"greatly":[90],"generalize":[91,124],"previous":[92],"results.":[93],"also":[95,180],"investigate":[96],"relationship":[98],"between":[99],"players":[103],"win":[106],"some":[111],"(so-called":[113],"winners)":[115],"other":[117],"traditional":[118],"solutions.":[120],"In":[121],"addition,":[122],"we":[123,137],"strengthen":[126],"prior":[127,169],"work":[128,170],"probabilistic":[130],"models":[131],"for":[132,175,184],"generating":[133],"tournaments.":[134],"For":[135],"instance,":[136],"show":[138],"every":[140],"$n$":[144],"generated":[147],"Condorcet":[150],"random":[151],"model":[152],"will":[153],"even":[158],"when":[159],"noise":[161],"as":[163,165],"small":[164],"possible,":[166],"$p=\\Theta(\\ln":[167],"n/n)$;":[168],"only":[171],"had":[172],"such":[173],"$p\\geq":[176],"\\Omega(\\sqrt{\\ln":[177],"n/n})$.":[178],"establish":[181],"significantly":[185],"more":[186],"general":[187],"generative":[188],"models.":[189]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}