{"id":"https://openalex.org/W3157402715","doi":"https://doi.org/10.1007/s10458-022-09557-7","title":"Generalized kings and single-elimination winners in random tournaments","display_name":"Generalized kings and single-elimination winners in random tournaments","publication_year":2022,"publication_date":"2022-04-27","ids":{"openalex":"https://openalex.org/W3157402715","doi":"https://doi.org/10.1007/s10458-022-09557-7","mag":"3157402715"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10458-022-09557-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10458-022-09557-7.pdf","source":{"id":"https://openalex.org/S5405189","display_name":"Autonomous Agents and Multi-Agent Systems","issn_l":"1387-2532","issn":["1387-2532","1573-7454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10458-022-09557-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001520779","display_name":"Pasin Manurangsi","orcid":"https://orcid.org/0000-0002-1052-2801"},"institutions":[{"id":"https://openalex.org/I1291425158","display_name":"Google (United States)","ror":"https://ror.org/00njsd438","country_code":"US","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210128969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pasin Manurangsi","raw_affiliation_strings":["Google Research, Mountain View, USA"],"affiliations":[{"raw_affiliation_string":"Google Research, Mountain View, USA","institution_ids":["https://openalex.org/I1291425158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082525642","display_name":"Warut Suksompong","orcid":"https://orcid.org/0000-0001-8973-2539"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Warut Suksompong","raw_affiliation_strings":["National University of Singapore, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082525642"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990,"provenance":"doaj"},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990,"provenance":"doaj"},"fwci":0.633,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":3,"citation_normalized_percentile":{"value":0.798659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":76,"max":80},"biblio":{"volume":"36","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9989,"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":0.9989,"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/T11031","display_name":"Game Theory and Applications","score":0.9908,"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/T11674","display_name":"Sports Analytics and Performance","score":0.9981,"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/tournament","display_name":"Tournament","score":0.7822201}],"concepts":[{"id":"https://openalex.org/C136975688","wikidata":"https://www.wikidata.org/wiki/Q1320634","display_name":"Tournament","level":2,"score":0.7822201},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45475283},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.45321932},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3988399},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39161837},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.38207638},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31737274}],"mesh":[],"locations_count":3,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10458-022-09557-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10458-022-09557-7.pdf","source":{"id":"https://openalex.org/S5405189","display_name":"Autonomous Agents and Multi-Agent Systems","issn_l":"1387-2532","issn":["1387-2532","1573-7454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2105.00193","pdf_url":"https://arxiv.org/pdf/2105.00193","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2105.00193","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10458-022-09557-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10458-022-09557-7.pdf","source":{"id":"https://openalex.org/S5405189","display_name":"Autonomous Agents and Multi-Agent Systems","issn_l":"1387-2532","issn":["1387-2532","1573-7454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":["https://openalex.org/W3157402715"],"referenced_works_count":48,"referenced_works":["https://openalex.org/W1484675474","https://openalex.org/W1568862957","https://openalex.org/W173833138","https://openalex.org/W1943736773","https://openalex.org/W1968498770","https://openalex.org/W1971111994","https://openalex.org/W1978717786","https://openalex.org/W2000803673","https://openalex.org/W2013155780","https://openalex.org/W2019472348","https://openalex.org/W2020516048","https://openalex.org/W2037402566","https://openalex.org/W2043627493","https://openalex.org/W2045793488","https://openalex.org/W2054974335","https://openalex.org/W2085850898","https://openalex.org/W2114498279","https://openalex.org/W2134014252","https://openalex.org/W2162391183","https://openalex.org/W2189197005","https://openalex.org/W2191938479","https://openalex.org/W2284908081","https://openalex.org/W2324134952","https://openalex.org/W2326964644","https://openalex.org/W2335150423","https://openalex.org/W2408105292","https://openalex.org/W2556754073","https://openalex.org/W2562410948","https://openalex.org/W2594036066","https://openalex.org/W2604879517","https://openalex.org/W2795780552","https://openalex.org/W2796182121","https://openalex.org/W2803912439","https://openalex.org/W2807838269","https://openalex.org/W2807967603","https://openalex.org/W2899782063","https://openalex.org/W2964933120","https://openalex.org/W2996767582","https://openalex.org/W3099166298","https://openalex.org/W3099297940","https://openalex.org/W3136563361","https://openalex.org/W3174107012","https://openalex.org/W3192122865","https://openalex.org/W3193196474","https://openalex.org/W3203012417","https://openalex.org/W4232452932","https://openalex.org/W4252056264","https://openalex.org/W4295847326"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4287997709","https://openalex.org/W3125314910","https://openalex.org/W3123786980","https://openalex.org/W3094108612","https://openalex.org/W3083287393","https://openalex.org/W2994965880","https://openalex.org/W2982074041","https://openalex.org/W2130950591","https://openalex.org/W2041858633"],"abstract_inverted_index":{"Abstract":[0],"Tournaments":[1],"can":[2,43],"be":[3,36],"used":[4],"to":[5,35,159],"model":[6],"a":[7,25,28,37,52,77,81,161],"variety":[8],"of":[9,20,22,55,70,84,110],"practical":[10],"scenarios":[11],"including":[12],"sports":[13],"competitions":[14],"and":[15,129],"elections.":[16],"A":[17],"natural":[18],"notion":[19],"strength":[21],"alternatives":[23,85,155],"in":[24,48,92,103,107],"tournament":[26,50,163],"is":[27,33],"generalized":[29],"king:":[30],"an":[31,66,144],"alternative":[32,47],"said":[34],"k":[38,59,87,112],"-":[39],"king":[40],"if":[41],"it":[42],"reach":[44],"every":[45],"other":[46],"the":[49,71,104,108,115,149],"via":[51],"directed":[53],"path":[54],"length":[56],"at":[57],"most":[58],".":[60,139],"In":[61,140],"this":[62],"paper,":[63],"we":[64,142],"provide":[65],"almost":[67],"complete":[68],"characterization":[69],"probability":[72,91,150],"threshold":[73,105,151],"such":[74],"that":[75],"all,":[76],"large":[78],"number,":[79],"or":[80],"small":[82],"number":[83],"are":[86,156],"-kings":[88],"with":[89,114],"high":[90],"two":[93],"random":[94],"models.":[95],"We":[96],"show":[97],"that,":[98],"perhaps":[99],"surprisingly,":[100],"all":[101,154],"changes":[102],"occur":[106],"range":[109],"constant":[111],",":[113],"biggest":[116],"change":[117],"being":[118],"between":[119],"$$k=2$$":[120],"":[122,132],"":[123,133],"k":[124,134],"=":[125,135],"2":[126],"":[127,137],"":[128,138],"$$k=3$$":[130],"3":[136],"addition,":[141],"establish":[143],"asymptotically":[145],"tight":[146],"bound":[147],"on":[148],"for":[152],"which":[153],"likely":[157],"able":[158],"win":[160],"single-elimination":[162],"under":[164],"some":[165],"bracket.":[166]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3157402715","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-01-03T21:16:13.865009","created_date":"2021-05-10"}