{"id":"https://openalex.org/W4399993763","doi":"https://doi.org/10.1109/tac.2024.3419018","title":"Online Distributed Algorithms for Online Noncooperative Games With Stochastic Cost Functions: High Probability Bound of Regrets","display_name":"Online Distributed Algorithms for Online Noncooperative Games With Stochastic Cost Functions: High Probability Bound of Regrets","publication_year":2024,"publication_date":"2024-06-25","ids":{"openalex":"https://openalex.org/W4399993763","doi":"https://doi.org/10.1109/tac.2024.3419018"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3419018","doi":"https://doi.org/10.1109/tac.2024.3419018","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3419018","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-1","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"volume":null,"type":"article","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":"https://openalex.org/A5031978976","display_name":"Kaihong Lu","orcid":"https://orcid.org/0000-0002-5265-7800","observed_orcids":["https://orcid.org/0000-0002-5265-7800"]},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kaihong Lu","raw_affiliation_strings":["College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0002-5265-7800","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031978976"],"corresponding_institution_ids":["https://openalex.org/I80143920"],"apc_list":{"value":2495,"currency":"USD","value_usd":2495},"apc_paid":null,"fwci":13.6638,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.99153662,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"69","issue":"12","first_page":"8860","last_page":"8867"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.5321999788284302,"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"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.5321999788284302,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.28029999136924744,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.12030000239610672,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/distributed-algorithms","display_name":"distributed algorithms","score":0.7609999775886536},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.777999997138977},{"id":"https://openalex.org/keywords/stochastic-cost-function","display_name":"stochastic cost function","score":0.9739999771118164},{"id":"https://openalex.org/keywords/stochastic-mirror-descent","display_name":"stochastic mirror descent","score":0.8790000081062317},{"id":"https://openalex.org/keywords/dynamic-regret","display_name":"dynamic regret","score":0.9789999723434448},{"id":"https://openalex.org/keywords/sub-gaussian-noise","display_name":"sub-Gaussian noise","score":0.9660000205039978},{"id":"https://openalex.org/keywords/sublinear-regret","display_name":"sublinear regret","score":0.7149999737739563}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.626334011554718},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.5167642831802368},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4894382059574127},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4383324682712555},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38537198305130005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24933478236198425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3419018","doi":"https://doi.org/10.1109/tac.2024.3419018","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3419018","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-1","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3582047870","display_name":null,"funder_award_id":"62250056","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G524267663","display_name":null,"funder_award_id":"U23A20325","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5360386835","display_name":null,"funder_award_id":"62103169","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6850860136","display_name":null,"funder_award_id":"ZR2021ZD14","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1646152356","https://openalex.org/W1977794212","https://openalex.org/W1989686151","https://openalex.org/W1992208280","https://openalex.org/W2029389006","https://openalex.org/W2053497389","https://openalex.org/W2058626062","https://openalex.org/W2061627126","https://openalex.org/W2065632630","https://openalex.org/W2127142495","https://openalex.org/W2128658178","https://openalex.org/W2501656778","https://openalex.org/W2604292427","https://openalex.org/W2604966640","https://openalex.org/W2801481166","https://openalex.org/W2890460404","https://openalex.org/W2948168221","https://openalex.org/W2951873227","https://openalex.org/W2954955495","https://openalex.org/W2962910407","https://openalex.org/W2965944281","https://openalex.org/W3012672939","https://openalex.org/W3035285337","https://openalex.org/W3041493239","https://openalex.org/W3127344972","https://openalex.org/W3135602726","https://openalex.org/W3168993225","https://openalex.org/W3179333559","https://openalex.org/W4317038588","https://openalex.org/W4319992153","https://openalex.org/W4362496232","https://openalex.org/W4382935935","https://openalex.org/W4388268407","https://openalex.org/W4389722180"],"related_works":["https://openalex.org/W4415187326","https://openalex.org/W4410541944","https://openalex.org/W3209408733","https://openalex.org/W4407366785","https://openalex.org/W3035285337","https://openalex.org/W4281728653","https://openalex.org/W3204565055","https://openalex.org/W4390586297","https://openalex.org/W7216545139","https://openalex.org/W4406208973"],"abstract_inverted_index":{"In":[0,47],"this":[1,84],"article,":[2],"online":[3,33,89],"noncooperative":[4,34],"games":[5],"without":[6],"full":[7],"decision":[8],"information":[9,79],"are":[10,45,112,169],"studied,":[11],"where":[12,41,108],"the":[13,20,29,39,42,48,75,98,105,109,115,128,134,137,146,149,159,174],"goal":[14],"of":[15,59,97,127,136,176],"players":[16],"is":[17,80,101,131],"to":[18,55,71,113,172],"seek":[19,114],"Nash":[21,116,150],"equilibria":[22],"in":[23,148],"a":[24,56,65,123,155,164],"distributed":[25,90],"manner.":[26],"Different":[27],"from":[28],"existing":[30],"works":[31],"on":[32,133],"games,":[35],"here":[36],"we":[37,86],"consider":[38],"case":[40],"cost":[43,62],"functions":[44],"stochastic.":[46],"problem,":[49,85],"each":[50,120],"player":[51],"only":[52],"has":[53],"access":[54],"noisy":[57,77],"gradient":[58,78],"its":[60],"own":[61],"function":[63],"and":[64,69],"local":[66],"action":[67],"set,":[68],"needs":[70],"make":[72],"decisions":[73],"before":[74],"current":[76],"revealed.":[81],"To":[82],"handle":[83],"propose":[87],"an":[88],"stochastic":[91],"mirror":[92],"descent":[93],"algorithm.":[94],"The":[95,141],"performance":[96],"presented":[99],"algorithm":[100],"measured":[102],"by":[103],"employing":[104],"dynamic":[106,129],"regrets,":[107],"offline":[110],"benchmarks":[111],"equilibrium":[117,151],"point":[118],"at":[119,154],"time.":[121],"Particularly,":[122],"high":[124,165],"probability":[125],"bound":[126],"regrets":[130,160],"proposed":[132],"basis":[135],"sub-Gaussian":[138],"noise":[139],"model.":[140],"result":[142],"shows":[143],"that":[144],"if":[145],"variation":[147],"sequence":[152],"grows":[153],"certain":[156],"rate,":[157],"then":[158],"increase":[161],"sublinearly":[162],"with":[163],"probability.":[166],"Finally,":[167],"simulations":[168],"worked":[170],"out":[171],"demonstrate":[173],"effectiveness":[175],"our":[177],"theoretical":[178],"results.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":21}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2024-06-26T00:00:00"}