{"id":"https://openalex.org/W7139935913","doi":"https://doi.org/10.48550/arxiv.2603.18219","title":"Convergence of Payoff-Based Higher-Order Replicator Dynamics in Contractive Games","display_name":"Convergence of Payoff-Based Higher-Order Replicator Dynamics in Contractive Games","publication_year":2026,"publication_date":"2026-03-18","ids":{"openalex":"https://openalex.org/W7139935913","doi":"https://doi.org/10.48550/arxiv.2603.18219"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.18219","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18219","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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.2603.18219","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022956913","display_name":"Hassan Abdelraouf","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abdelraouf, Hassan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130228642","display_name":"Vijay Gupta","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gupta, Vijay","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5028973855","display_name":"Jeff S. Shamma","orcid":"https://orcid.org/0000-0001-5638-9551"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shamma, Jeff S.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"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/T11031","display_name":"Game Theory and Applications","score":0.40869998931884766,"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":0.40869998931884766,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.24060000479221344,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.039500001817941666,"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/replicator-equation","display_name":"Replicator equation","score":0.8881999850273132},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5719000101089478},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4528000056743622},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.4325000047683716},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.4253000020980835},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.36559998989105225},{"id":"https://openalex.org/keywords/passivity","display_name":"Passivity","score":0.3336000144481659},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.32120001316070557}],"concepts":[{"id":"https://openalex.org/C50318809","wikidata":"https://www.wikidata.org/wiki/Q2145081","display_name":"Replicator equation","level":3,"score":0.8881999850273132},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6852999925613403},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5719000101089478},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4878000020980835},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4528000056743622},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.4325000047683716},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.4253000020980835},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3874000012874603},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.36559998989105225},{"id":"https://openalex.org/C2778809601","wikidata":"https://www.wikidata.org/wiki/Q1045736","display_name":"Passivity","level":2,"score":0.3336000144481659},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.32120001316070557},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.30649998784065247},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.2924000024795532},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.27880001068115234},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.27250000834465027},{"id":"https://openalex.org/C70437156","wikidata":"https://www.wikidata.org/wiki/Q7228652","display_name":"Pooling","level":2,"score":0.27129998803138733},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.26249998807907104},{"id":"https://openalex.org/C2519700","wikidata":"https://www.wikidata.org/wiki/Q1069992","display_name":"Evolutionarily stable strategy","level":3,"score":0.25679999589920044},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.25519999861717224},{"id":"https://openalex.org/C20249471","wikidata":"https://www.wikidata.org/wiki/Q2298789","display_name":"Evolutionary game theory","level":3,"score":0.2500999867916107}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.18219","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18219","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.18219","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18219","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":[0,65],"study":[1,71],"the":[2,35,52,70,81,101,117,135,142,159],"convergence":[3,36,152],"properties":[4,153],"of":[5,10,37,47,72,83,162],"a":[6,13,30,45,94,109],"payoff-based":[7],"higher-order":[8,73,105],"version":[9],"replicator":[11,74,88,106],"dynamics,":[12],"widely":[14],"studied":[15],"model":[16],"in":[17,23,114,145],"evolutionary":[18],"dynamics":[19,39,49,75,89,107,138],"and":[20,62,100,131],"game-theoretic":[21],"learning,":[22],"contractive":[24,77,146,165],"games.":[25,147,166],"Recent":[26],"work":[27],"has":[28],"introduced":[29],"control-theoretic":[31],"perspective":[32],"for":[33,69,76,158],"analyzing":[34],"learning":[38,48,85,137],"through":[40],"passivity":[41,53],"theory,":[42],"leading":[43],"to":[44,141],"classification":[46],"based":[50],"on":[51],"notion":[54],"they":[55],"satisfy,":[56],"such":[57],"as":[58,93],"\\textdelta-passivity,":[59],"equilibrium-independent":[60],"passivity,":[61],"incremental":[63,155],"passivity.":[64],"leverage":[66],"this":[67,125],"framework":[68],"games,":[78],"which":[79],"form":[80],"complement":[82],"passive":[84,130],"dynamics.":[86],"Standard":[87],"can":[90],"be":[91],"represented":[92],"cascade":[95],"interconnection":[96],"between":[97],"an":[98],"integrator":[99],"softmax":[102],"mapping.":[103],"Payoff-based":[104],"include":[108],"linear":[110],"time-invariant":[111],"(LTI)":[112],"system":[113,127],"parallel":[115],"with":[116],"existing":[118],"integrator.":[119],"First,":[120],"we":[121,149],"show":[122],"that":[123],"if":[124],"added":[126],"is":[128],"strictly":[129],"asymptotically":[132],"stable,":[133],"then":[134],"resulting":[136],"converge":[139],"locally":[140],"Nash":[143],"equilibrium":[144],"Second,":[148],"establish":[150],"global":[151],"using":[154],"stability":[156],"analysis":[157],"special":[160],"case":[161],"symmetric":[163],"matrix":[164]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-21T00:00:00"}
