{"id":"https://openalex.org/W2106897308","doi":"https://doi.org/10.1109/tnnls.2013.2293149","title":"Evolutionarily Stable Strategy of Networked Evolutionary Games","display_name":"Evolutionarily Stable Strategy of Networked Evolutionary Games","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2106897308","doi":"https://doi.org/10.1109/tnnls.2013.2293149","mag":"2106897308"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2013.2293149","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2013.2293149","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Neural Networks and Learning Systems","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/A5020035625","display_name":"Daizhan Cheng","orcid":"https://orcid.org/0000-0001-5088-3209"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Daizhan Cheng","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China","Sch. of Control Sci. & Eng., ShanDong Univ., Jinan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"Sch. of Control Sci. & Eng., ShanDong Univ., Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062549428","display_name":"Tingting Xu","orcid":"https://orcid.org/0000-0002-5043-737X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingting Xu","raw_affiliation_strings":["Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China","[Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"[Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China]","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076197013","display_name":"Hongsheng Qi","orcid":"https://orcid.org/0000-0002-1698-7570"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongsheng Qi","raw_affiliation_strings":["Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China","[Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"[Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China]","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":34.004,"has_fulltext":false,"cited_by_count":106,"citation_normalized_percentile":{"value":0.99653283,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"25","issue":"7","first_page":"1335","last_page":"1345"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9972000122070312,"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":0.996999979019165,"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/evolutionarily-stable-strategy","display_name":"Evolutionarily stable strategy","score":0.8467895984649658},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.8062405586242676},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6077868342399597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5797322392463684},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5789236426353455},{"id":"https://openalex.org/keywords/evolutionary-dynamics","display_name":"Evolutionary dynamics","score":0.5753610730171204},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4258619546890259},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4230017364025116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37282225489616394},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3487083911895752},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.34278228878974915},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22893688082695007},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08425077795982361}],"concepts":[{"id":"https://openalex.org/C2519700","wikidata":"https://www.wikidata.org/wiki/Q1069992","display_name":"Evolutionarily stable strategy","level":3,"score":0.8467895984649658},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.8062405586242676},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6077868342399597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5797322392463684},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5789236426353455},{"id":"https://openalex.org/C171578705","wikidata":"https://www.wikidata.org/wiki/Q5418700","display_name":"Evolutionary dynamics","level":3,"score":0.5753610730171204},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4258619546890259},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4230017364025116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37282225489616394},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3487083911895752},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34278228878974915},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22893688082695007},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08425077795982361},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnnls.2013.2293149","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2013.2293149","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Neural Networks and Learning Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1679713595","display_name":"\u77e9\u9635\u534a\u5f20\u91cf\u79ef\u7406\u8bba\u53ca\u5176\u5728\u82e5\u5e72\u63a7\u5236\u95ee\u9898\u4e2d\u7684\u5e94\u7528","funder_award_id":"61273013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G444015423","display_name":null,"funder_award_id":"61333001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4774822617","display_name":"\u6982\u7387\u5e03\u5c14\u7f51\u7edc\u7684\u8fa8\u8bc6\u4e0e\u63a7\u5236","funder_award_id":"61104065","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8124842340","display_name":null,"funder_award_id":"61074114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W567151721","https://openalex.org/W1415442047","https://openalex.org/W1570317428","https://openalex.org/W1591031213","https://openalex.org/W1605074941","https://openalex.org/W1967829443","https://openalex.org/W1986062936","https://openalex.org/W1991720013","https://openalex.org/W2000929155","https://openalex.org/W2003127754","https://openalex.org/W2023097644","https://openalex.org/W2024845611","https://openalex.org/W2025490132","https://openalex.org/W2028798910","https://openalex.org/W2039104542","https://openalex.org/W2040301417","https://openalex.org/W2048634613","https://openalex.org/W2062663664","https://openalex.org/W2067884533","https://openalex.org/W2073458555","https://openalex.org/W2087247364","https://openalex.org/W2095239468","https://openalex.org/W2099540651","https://openalex.org/W2118628439","https://openalex.org/W2118847390","https://openalex.org/W2118973714","https://openalex.org/W2118994458","https://openalex.org/W2121885874","https://openalex.org/W2132980130","https://openalex.org/W2143549867","https://openalex.org/W2149869214","https://openalex.org/W2156173537","https://openalex.org/W2168891449","https://openalex.org/W2486512961","https://openalex.org/W2889289538","https://openalex.org/W3098354597","https://openalex.org/W3098439297","https://openalex.org/W3099446899","https://openalex.org/W3100119728","https://openalex.org/W3101689150","https://openalex.org/W3105824137","https://openalex.org/W3199187481","https://openalex.org/W6668657437"],"related_works":["https://openalex.org/W4318681178","https://openalex.org/W2124209763","https://openalex.org/W4385188875","https://openalex.org/W4206213492","https://openalex.org/W2374666693","https://openalex.org/W4318302118","https://openalex.org/W3154657552","https://openalex.org/W4254590823","https://openalex.org/W2039346667","https://openalex.org/W2077520189"],"abstract_inverted_index":{"The":[0,72],"evolutionarily":[1],"stable":[2],"strategy":[3,49],"(ESS)":[4],"of":[5,15,30,53,108],"networked":[6,24],"evolutionary":[7,18,39],"games":[8,19],"(NEGs)":[9],"is":[10,34,42,115],"studied.":[11],"Analyzing":[12],"the":[13,37,48,60,66,78,106,129],"ESS":[14,31,61,107],"infinite":[16],"popular":[17],"and":[20,44,80,83,97],"comparing":[21],"it":[22,70],"with":[23,94],"games,":[25],"a":[26],"new":[27],"verifiable":[28],"definition":[29],"for":[32,58,92,118],"NEGs":[33,93,109],"proposed.":[35],"Then,":[36],"fundamental":[38],"equation":[40],"(FEE)":[41],"investigated":[43],"used":[45,91],"to":[46,68,104,127],"construct":[47],"profile":[50],"dynamics":[51],"(SPDs)":[52],"homogeneous":[54],"NEGs.":[55],"Two":[56],"ways":[57],"verifying":[59],"are":[62,86,102,125],"proposed:":[63],"1)":[64],"using":[65],"SPDs":[67,73],"verify":[69,105],"directly.":[71],"provides":[74],"complete":[75],"information":[76],"about":[77],"NEGs,":[79],"then":[81],"necessary":[82],"sufficient":[84,100],"conditions":[85,101],"revealed.":[87],"It":[88],"can":[89],"be":[90],"small":[95],"size":[96],"2)":[98],"some":[99],"proposed":[103],"via":[110],"their":[111],"FEEs.":[112],"This":[113],"method":[114],"particularly":[116],"suitable":[117],"large":[119],"scale":[120],"networks.":[121],"Some":[122],"illustrative":[123],"examples":[124],"included":[126],"demonstrate":[128],"theoretical":[130],"results.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}