{"id":"https://openalex.org/W2123412592","doi":"https://doi.org/10.1142/s0218127412502288","title":"THE EMERGENCE AND EVOLUTION OF COOPERATION ON COMPLEX NETWORKS","display_name":"THE EMERGENCE AND EVOLUTION OF COOPERATION ON COMPLEX NETWORKS","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2123412592","doi":"https://doi.org/10.1142/s0218127412502288","mag":"2123412592"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412502288","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502288","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"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/A5100644940","display_name":"Han-Xin Yang","orcid":"https://orcid.org/0000-0002-9642-9228"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"HAN-XIN YANG","raw_affiliation_strings":["Department of Physics, Fuzhou University, Fuzhou 350108, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Fuzhou University, Fuzhou 350108, P. R. China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047236763","display_name":"Wen-Xu Wang","orcid":"https://orcid.org/0000-0002-4170-8676"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"WEN-XU WANG","raw_affiliation_strings":["Department of Systems Science, School of Management and Center for Complexity Research, Beijing Normal University, Beijing 100875, P. R. China","BEIJING NORMAL UNIVERSITY"],"affiliations":[{"raw_affiliation_string":"Department of Systems Science, School of Management and Center for Complexity Research, Beijing Normal University, Beijing 100875, P. R. China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"BEIJING NORMAL UNIVERSITY","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102995786","display_name":"Ying\u2010Cheng Lai","orcid":"https://orcid.org/0000-0002-0723-733X"},"institutions":[{"id":"https://openalex.org/I195460627","display_name":"University of Aberdeen","ror":"https://ror.org/016476m91","country_code":"GB","type":"education","lineage":["https://openalex.org/I195460627"]},{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"YING-CHENG LAI","raw_affiliation_strings":["Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, UK","School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, Arizona 85287, USA","Sensor, Signal and Information Processing Center (SenSIP)"],"affiliations":[{"raw_affiliation_string":"Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, UK","institution_ids":["https://openalex.org/I195460627"]},{"raw_affiliation_string":"School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, Arizona 85287, USA","institution_ids":["https://openalex.org/I55732556"]},{"raw_affiliation_string":"Sensor, Signal and Information Processing Center (SenSIP)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019554559","display_name":"Celso Grebogi","orcid":"https://orcid.org/0000-0002-9811-4617"},"institutions":[{"id":"https://openalex.org/I195460627","display_name":"University of Aberdeen","ror":"https://ror.org/016476m91","country_code":"GB","type":"education","lineage":["https://openalex.org/I195460627"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"CELSO GREBOGI","raw_affiliation_strings":["Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, UK"],"affiliations":[{"raw_affiliation_string":"Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, UK","institution_ids":["https://openalex.org/I195460627"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100644940"],"corresponding_institution_ids":["https://openalex.org/I80947539"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.23959069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"22","issue":"09","first_page":"1250228","last_page":"1250228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9998999834060669,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9886000156402588,"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/clustering-coefficient","display_name":"Clustering coefficient","score":0.7432242631912231},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.695672869682312},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.674634575843811},{"id":"https://openalex.org/keywords/diversity","display_name":"Diversity (politics)","score":0.5738409757614136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.545929491519928},{"id":"https://openalex.org/keywords/small-world-network","display_name":"Small-world network","score":0.5259616374969482},{"id":"https://openalex.org/keywords/scale-free-network","display_name":"Scale-free network","score":0.5096266269683838},{"id":"https://openalex.org/keywords/public-goods-game","display_name":"Public goods game","score":0.4514278173446655},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.44047796726226807},{"id":"https://openalex.org/keywords/evolving-networks","display_name":"Evolving networks","score":0.4375850260257721},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.4240139126777649},{"id":"https://openalex.org/keywords/public-good","display_name":"Public good","score":0.40677568316459656},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.344952255487442},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.316262423992157},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2757408618927002},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.22657451033592224},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2163677215576172},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07263797521591187}],"concepts":[{"id":"https://openalex.org/C22047676","wikidata":"https://www.wikidata.org/wiki/Q898680","display_name":"Clustering coefficient","level":3,"score":0.7432242631912231},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.695672869682312},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.674634575843811},{"id":"https://openalex.org/C2781316041","wikidata":"https://www.wikidata.org/wiki/Q1230584","display_name":"Diversity (politics)","level":2,"score":0.5738409757614136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.545929491519928},{"id":"https://openalex.org/C183331307","wikidata":"https://www.wikidata.org/wiki/Q840026","display_name":"Small-world network","level":3,"score":0.5259616374969482},{"id":"https://openalex.org/C25580894","wikidata":"https://www.wikidata.org/wiki/Q1071058","display_name":"Scale-free network","level":3,"score":0.5096266269683838},{"id":"https://openalex.org/C72273685","wikidata":"https://www.wikidata.org/wiki/Q1673101","display_name":"Public goods game","level":3,"score":0.4514278173446655},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.44047796726226807},{"id":"https://openalex.org/C36647736","wikidata":"https://www.wikidata.org/wiki/Q5418752","display_name":"Evolving networks","level":3,"score":0.4375850260257721},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.4240139126777649},{"id":"https://openalex.org/C162222271","wikidata":"https://www.wikidata.org/wiki/Q92779871","display_name":"Public good","level":2,"score":0.40677568316459656},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.344952255487442},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.316262423992157},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2757408618927002},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.22657451033592224},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2163677215576172},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07263797521591187},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412502288","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502288","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.5400000214576721}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1415442047","https://openalex.org/W1498617765","https://openalex.org/W1564194306","https://openalex.org/W1960351623","https://openalex.org/W1973631816","https://openalex.org/W1979813683","https://openalex.org/W1983275606","https://openalex.org/W1993736910","https://openalex.org/W1997418576","https://openalex.org/W2008620264","https://openalex.org/W2014970526","https://openalex.org/W2017675247","https://openalex.org/W2022924757","https://openalex.org/W2024451920","https://openalex.org/W2028065355","https://openalex.org/W2035945778","https://openalex.org/W2041924896","https://openalex.org/W2054033978","https://openalex.org/W2062575510","https://openalex.org/W2066612405","https://openalex.org/W2070722739","https://openalex.org/W2073296935","https://openalex.org/W2077091446","https://openalex.org/W2087164762","https://openalex.org/W2089344303","https://openalex.org/W2096579989","https://openalex.org/W2099540651","https://openalex.org/W2110031473","https://openalex.org/W2111874477","https://openalex.org/W2112090702","https://openalex.org/W2121650795","https://openalex.org/W2132954548","https://openalex.org/W2148606196","https://openalex.org/W2150308210","https://openalex.org/W2151136700","https://openalex.org/W2160084302","https://openalex.org/W2160970444","https://openalex.org/W2166098592","https://openalex.org/W2418582869","https://openalex.org/W3037706425","https://openalex.org/W3098843251","https://openalex.org/W3100030441","https://openalex.org/W3199187481","https://openalex.org/W4211019631"],"related_works":["https://openalex.org/W2890733292","https://openalex.org/W2036354372","https://openalex.org/W3046345131","https://openalex.org/W2073919253","https://openalex.org/W2042693705","https://openalex.org/W4319993472","https://openalex.org/W2897428951","https://openalex.org/W3209597118","https://openalex.org/W2756346024","https://openalex.org/W2090708523"],"abstract_inverted_index":{"The":[0],"emergence":[1,146],"and":[2,10,45,77,97,104],"evolution":[3],"of":[4,17,32,39,48,63,102,112,123,147],"cooperation":[5,25,41,52,148],"in":[6,55,80,125,136,149],"complex":[7,27],"natural,":[8],"social":[9,138],"economical":[11],"systems":[12],"is":[13,42,53,67,134],"an":[14],"interdisciplinary":[15],"topic":[16],"recent":[18],"interest.":[19],"This":[20],"paper":[21],"focuses":[22],"on":[23,26,51],"the":[24,30,37,46,58,70,81,95,110,120,145],"networks":[28,127],"using":[29],"approach":[31],"evolutionary":[33],"games.":[34],"In":[35],"particular,":[36],"phenomenon":[38],"diversity-optimized":[40],"briefly":[43],"reviewed":[44],"effect":[47],"network":[49],"clustering":[50,86,133],"treated":[54],"detail.":[56],"For":[57],"latter,":[59],"a":[60,84],"general":[61],"type":[62],"public":[64],"goods":[65],"games":[66],"used":[68],"with":[69],"result":[71],"that,":[72],"for":[73,114],"fixed":[74],"average":[75],"degree":[76,78],"distributions":[79],"underlying":[82],"network,":[83],"high":[85],"coefficient":[87],"can":[88],"promote":[89],"cooperation.":[90],"Basic":[91],"quantities":[92],"such":[93,150],"as":[94,117,119],"cooperator":[96],"defector":[98],"clusters,":[99],"mean":[100,121],"payoffs":[101,122],"cooperators":[103,113],"defectors":[105],"along":[106],"their":[107],"respective":[108],"boundaries,":[109],"fraction":[111],"different":[115],"classes":[116],"well":[118],"hubs":[124],"scale-free":[126],"are":[128],"also":[129],"investigated.":[130],"Since":[131],"strong":[132],"typical":[135],"many":[137],"networks,":[139],"these":[140],"results":[141],"provide":[142],"insights":[143],"into":[144],"networks.":[151]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
