{"id":"https://openalex.org/W4315489199","doi":"https://doi.org/10.1109/cdc51059.2022.9993228","title":"Population Games With Erlang Clocks: Convergence to Nash Equilibria For Pairwise Comparison Dynamics","display_name":"Population Games With Erlang Clocks: Convergence to Nash Equilibria For Pairwise Comparison Dynamics","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4315489199","doi":"https://doi.org/10.1109/cdc51059.2022.9993228"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9993228","doi":"https://doi.org/10.1109/cdc51059.2022.9993228","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9993228","pdf_url":null,"source":{"id":"https://openalex.org/S4210221977","display_name":"IEEE Conference on Decision and Control (CDC)","issn_l":"0191-2216","issn":["0191-2216"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2204.00593","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064310784","display_name":"Semih Kara","orcid":"https://orcid.org/0000-0001-5284-3454","observed_orcids":["https://orcid.org/0000-0001-5284-3454"]},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Semih Kara","raw_affiliation_strings":["University of Maryland,ISR,ECE Department,College Park,USA,MD 20742"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland,ISR,ECE Department,College Park,USA,MD 20742","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065643877","display_name":"Nuno C. Martins","orcid":"https://orcid.org/0000-0003-2083-8102","observed_orcids":["https://orcid.org/0000-0003-2083-8102"]},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nuno C. Martins","raw_affiliation_strings":["University of Maryland,ISR,ECE Department,College Park,USA,MD 20742"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland,ISR,ECE Department,College Park,USA,MD 20742","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025743742","display_name":"Murat Arcak","orcid":"https://orcid.org/0000-0001-9060-4032","observed_orcids":["https://orcid.org/0000-0001-9060-4032"]},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Murat Arcak","raw_affiliation_strings":["University of California,EECS Department,Berkeley,USA,CA 94720"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California,EECS Department,Berkeley,USA,CA 94720","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8603,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.91959943,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"7688","last_page":"7695"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.6557999849319458,"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":0.6557999849319458,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.32499998807907104,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/population-games","display_name":"population games","score":0.9980000257492065},{"id":"https://openalex.org/keywords/evolutionary-game-theory","display_name":"evolutionary game theory","score":0.7379999756813049},{"id":"https://openalex.org/keywords/nash-equilibrium-convergence","display_name":"Nash equilibrium convergence","score":0.8759999871253967},{"id":"https://openalex.org/keywords/deterministic-approximation","display_name":"deterministic approximation","score":0.6100000143051147},{"id":"https://openalex.org/keywords/large-population-limit","display_name":"large population limit","score":0.824999988079071},{"id":"https://openalex.org/keywords/potential-games","display_name":"potential games","score":0.9670000076293945},{"id":"https://openalex.org/keywords/passivity","display_name":"passivity","score":0.7860000133514404},{"id":"https://openalex.org/keywords/strategy-revision","display_name":"strategy revision","score":0.4860000014305115}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7282187938690186},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.622669517993927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6017645001411438},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5559572577476501},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5525041222572327},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5369109511375427},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5108299255371094},{"id":"https://openalex.org/C2519700","wikidata":"https://www.wikidata.org/wiki/Q1069992","display_name":"Evolutionarily stable strategy","level":3,"score":0.45344027876853943},{"id":"https://openalex.org/C82484044","wikidata":"https://www.wikidata.org/wiki/Q334879","display_name":"Erlang (programming language)","level":3,"score":0.4366358816623688},{"id":"https://openalex.org/C107257861","wikidata":"https://www.wikidata.org/wiki/Q656316","display_name":"Coordination game","level":2,"score":0.42981964349746704},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3778495788574219},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3619662821292877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.255046546459198},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.21565982699394226},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12341645359992981},{"id":"https://openalex.org/C42383842","wikidata":"https://www.wikidata.org/wiki/Q193076","display_name":"Functional programming","level":2,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc51059.2022.9993228","doi":"https://doi.org/10.1109/cdc51059.2022.9993228","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9993228","pdf_url":null,"source":{"id":"https://openalex.org/S4210221977","display_name":"IEEE Conference on Decision and Control (CDC)","issn_l":"0191-2216","issn":["0191-2216"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2204.00593","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2204.00593","pdf_url":"https://arxiv.org/pdf/2204.00593","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},{"id":"doi:10.48550/arxiv.2204.00593","doi":"https://doi.org/10.48550/arxiv.2204.00593","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2204.00593","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2204.00593","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2204.00593","pdf_url":"https://arxiv.org/pdf/2204.00593","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4315489199.pdf","grobid_xml":"https://content.openalex.org/works/W4315489199.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1567092208","https://openalex.org/W1594833910","https://openalex.org/W1972768959","https://openalex.org/W2027163871","https://openalex.org/W2034285363","https://openalex.org/W2036808929","https://openalex.org/W2059621145","https://openalex.org/W2062259223","https://openalex.org/W2082848291","https://openalex.org/W2115483886","https://openalex.org/W2144905124","https://openalex.org/W2171034360","https://openalex.org/W2295588835","https://openalex.org/W2589559120","https://openalex.org/W2800070170","https://openalex.org/W2964016208","https://openalex.org/W3010798797","https://openalex.org/W3022321359","https://openalex.org/W3022681843","https://openalex.org/W3034495885","https://openalex.org/W4316660998","https://openalex.org/W4375906334","https://openalex.org/W4396738453"],"related_works":["https://openalex.org/W7129452356","https://openalex.org/W4313396793","https://openalex.org/W4382936232","https://openalex.org/W1605170960","https://openalex.org/W4316660998","https://openalex.org/W7096179559","https://openalex.org/W4407949208","https://openalex.org/W3135602726","https://openalex.org/W4399377616","https://openalex.org/W3010798797"],"abstract_inverted_index":{"The":[0,109],"prevailing":[1],"methodology":[2,71],"for":[3,46,72,132,137,158,174],"analyzing":[4],"population":[5,13],"games":[6],"and":[7,43,123],"evolutionary":[8],"dynamics":[9,116],"in":[10],"the":[11,28,76,100,144,148,159],"large":[12,138],"limit":[14],"assumes":[15],"that":[16,57,78,93,117],"a":[17,52,62,70,79,94,133,153],"Poisson":[18],"process":[19],"(or":[20],"clock)":[21],"inherent":[22],"to":[23,86,104,147,165],"each":[24,49],"agent":[25,29],"determines":[26],"when":[27,152],"can":[30],"revise":[31],"its":[32],"strategy.":[33],"Hence,":[34],"such":[35,73],"an":[36],"approach":[37],"presupposes":[38],"exponentially":[39,83],"distributed":[40,88],"inter-revision":[41,89],"intervals,":[42],"is":[44,82,118,172],"inadequate":[45],"cases":[47,74],"where":[48],"strategy":[50],"entails":[51],"sequence":[53],"of":[54,111,143],"sub-tasks":[55],"(sub-strategies)":[56],"must":[58],"be":[59],"completed":[60],"before":[61],"new":[63],"revision":[64,102],"time":[65],"occurs.":[66],"This":[67],"article":[68],"proposes":[69],"under":[75,168],"premise":[77],"sub-strategy\u2019s":[80],"duration":[81],"distributed,":[84],"leading":[85],"Erlang":[87],"intervals.":[90],"We":[91,140,161],"assume":[92],"so-called":[95],"pairwise":[96],"comparison":[97],"protocol":[98],"captures":[99],"agents\u2019":[101],"preferences":[103],"render":[105],"our":[106],"analysis":[107],"concrete.":[108],"presence":[110],"sub-strategies":[112],"brings":[113],"on":[114],"additional":[115],"incompatible":[119],"with":[120],"existing":[121],"models":[122],"results.":[124],"Our":[125],"main":[126],"contributions":[127],"are":[128],"twofold,":[129],"both":[130],"derived":[131],"deterministic":[134],"approximation":[135],"valid":[136],"populations.":[139],"prove":[141],"convergence":[142,171],"population\u2019s":[145],"state":[146],"Nash":[149],"equilibrium":[150],"set":[151],"potential":[154],"game":[155],"generates":[156],"payoffs":[157],"strategies.":[160],"use":[162],"system-theoretic":[163],"passivity":[164],"determine":[166],"conditions":[167],"which":[169],"this":[170],"guaranteed":[173],"contractive":[175],"games.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-10-26T11:51:55.731654","created_date":"2023-01-11T00:00:00"}