{"id":"https://openalex.org/W4407949607","doi":"https://doi.org/10.1109/cdc56724.2024.10886861","title":"An Analysis of Logit Learning with the r-Lambert Function","display_name":"An Analysis of Logit Learning with the r-Lambert Function","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407949607","doi":"https://doi.org/10.1109/cdc56724.2024.10886861"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886861","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886861","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Rory Gavin","orcid":null},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Rory Gavin","raw_affiliation_strings":["University of Groningen,Faculty of Science and Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Groningen,Faculty of Science and Engineering","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021403340","display_name":"Ming Cao","orcid":"https://orcid.org/0000-0001-5472-562X"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ming Cao","raw_affiliation_strings":["University of Groningen,Faculty of Science and Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Groningen,Faculty of Science and Engineering","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033692956","display_name":"Keith Paarporn","orcid":"https://orcid.org/0000-0002-5966-7876"},"institutions":[{"id":"https://openalex.org/I888729015","display_name":"University of Colorado Colorado Springs","ror":"https://ror.org/054spjc55","country_code":"US","type":"education","lineage":["https://openalex.org/I888729015"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Keith Paarporn","raw_affiliation_strings":["University of Colorado,Department of Computer Science,Colorado Springs"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Colorado,Department of Computer Science,Colorado Springs","institution_ids":["https://openalex.org/I888729015"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"6774","last_page":"6779"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12677","display_name":"Sports Dynamics and Biomechanics","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12677","display_name":"Sports Dynamics and Biomechanics","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11674","display_name":"Sports Analytics and Performance","score":0.9632999897003174,"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/lambert-w-function","display_name":"Lambert W function","score":0.6473535299301147},{"id":"https://openalex.org/keywords/logit","display_name":"Logit","score":0.6416140198707581},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5116803646087646},{"id":"https://openalex.org/keywords/logistic-regression","display_name":"Logistic regression","score":0.48517924547195435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46593278646469116},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.37486177682876587},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36404556035995483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3038661479949951},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2242063283920288},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14042338728904724}],"concepts":[{"id":"https://openalex.org/C130924491","wikidata":"https://www.wikidata.org/wiki/Q429331","display_name":"Lambert W function","level":2,"score":0.6473535299301147},{"id":"https://openalex.org/C140331021","wikidata":"https://www.wikidata.org/wiki/Q1868104","display_name":"Logit","level":2,"score":0.6416140198707581},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5116803646087646},{"id":"https://openalex.org/C151956035","wikidata":"https://www.wikidata.org/wiki/Q1132755","display_name":"Logistic regression","level":2,"score":0.48517924547195435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46593278646469116},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.37486177682876587},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36404556035995483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3038661479949951},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2242063283920288},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14042338728904724},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886861","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886861","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1192553058","https://openalex.org/W1415442047","https://openalex.org/W1963754118","https://openalex.org/W1993203591","https://openalex.org/W2028798910","https://openalex.org/W2080967529","https://openalex.org/W2549525793","https://openalex.org/W2575922399","https://openalex.org/W2591776120","https://openalex.org/W4281480702","https://openalex.org/W4320890266","https://openalex.org/W4386453817","https://openalex.org/W4400946500","https://openalex.org/W6846522158","https://openalex.org/W6854148632","https://openalex.org/W6873540078"],"related_works":["https://openalex.org/W2280310889","https://openalex.org/W2736397985","https://openalex.org/W2108410032","https://openalex.org/W2167065846","https://openalex.org/W2077865273","https://openalex.org/W2559245114","https://openalex.org/W2145256004","https://openalex.org/W1989125082","https://openalex.org/W2052870469","https://openalex.org/W2994606758"],"abstract_inverted_index":{"The":[0],"well-known":[1],"replicator":[2],"equation":[3],"in":[4,129,137,172],"evolutionary":[5,29],"game":[6],"theory":[7],"describes":[8],"how":[9],"population-level":[10],"behaviors":[11],"change":[12],"over":[13],"time":[14],"when":[15],"individuals":[16],"make":[17],"decisions":[18],"using":[19],"simple":[20],"imitation":[21],"learning":[22,38],"rules.":[23],"In":[24,155],"this":[25,152],"paper,":[26],"we":[27],"study":[28],"dynamics":[30,49],"based":[31],"on":[32,47],"a":[33,68,108,120,125,130,138],"fundamentally":[34],"different":[35],"class":[36,84],"of":[37,53,55,62,72,85,92,149,160,169],"rules":[39],"known":[40],"as":[41],"logit":[42,48,74,161],"learning.":[43],"Numerous":[44],"previous":[45],"studies":[46],"provide":[50,67,142],"numerical":[51],"evidence":[52],"bifurcations":[54],"multiple":[56],"fixed":[57,75,110,127,135,162],"points":[58,76,136,163],"for":[59,81,99,112,146],"several":[60],"types":[61],"games.":[63],"Our":[64],"results":[65],"here":[66],"more":[69],"explicit":[70],"analysis":[71],"the":[73,82,93,147,158,166,173],"and":[77,102,133],"their":[78],"stability":[79],"properties":[80],"entire":[83],"two-strategy":[86],"population":[87],"games":[88,118],"\u2013":[89],"by":[90],"way":[91],"r-Lambert":[94],"function.":[95],"We":[96,141],"find":[97],"that":[98],"Prisoner\u2019s":[100],"Dilemma":[101],"anti-coordination":[103],"games,":[104],"there":[105,123],"is":[106,124],"only":[107],"single":[109,126],"point":[111,128],"all":[113,156],"rationality":[114,150,175],"levels.":[115],"However,":[116],"coordination":[117],"exhibit":[119],"pitchfork":[121],"bifurcation:":[122],"low-rationality":[131],"regime,":[132],"three":[134],"high-rationality":[139],"regime.":[140],"an":[143],"implicit":[144],"characterization":[145],"level":[148],"where":[151],"bifurcation":[153],"occurs.":[154],"cases,":[157],"set":[159,168],"converges":[164],"to":[165],"full":[167],"Nash":[170],"equilibria":[171],"high":[174],"limit.":[176]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
