{"id":"https://openalex.org/W4313135617","doi":"https://doi.org/10.1109/jsyst.2022.3212771","title":"${N}$-Player Trust Game With Second-Order Reputation Evaluation in the Networked Population","display_name":"${N}$-Player Trust Game With Second-Order Reputation Evaluation in the Networked Population","publication_year":2022,"publication_date":"2022-11-03","ids":{"openalex":"https://openalex.org/W4313135617","doi":"https://doi.org/10.1109/jsyst.2022.3212771"},"language":"en","primary_location":{"id":"doi:10.1109/jsyst.2022.3212771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2022.3212771","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"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 Systems Journal","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/A5101527478","display_name":"Xuezhu Li","orcid":"https://orcid.org/0000-0003-1958-6761"},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuezhu Li","raw_affiliation_strings":["Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107140697","display_name":"Meiling Feng","orcid":"https://orcid.org/0000-0001-5738-1420"},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meiling Feng","raw_affiliation_strings":["Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074618881","display_name":"Weiwei Han","orcid":"https://orcid.org/0009-0001-6034-8055"},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiwei Han","raw_affiliation_strings":["Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053501478","display_name":"Chengyi Xia","orcid":"https://orcid.org/0000-0003-2686-5072"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tianjin Polytechnic University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengyi Xia","raw_affiliation_strings":["School of Control Science and Engineering, Tiangong University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Tiangong University, Tianjin, China","institution_ids":["https://openalex.org/I198091727"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101527478"],"corresponding_institution_ids":["https://openalex.org/I136765683"],"apc_list":null,"apc_paid":null,"fwci":9.8524,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.97992471,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"17","issue":"2","first_page":"2982","last_page":"2992"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9993000030517578,"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":0.9993000030517578,"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/T10646","display_name":"Experimental Behavioral Economics Studies","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/3311","display_name":"Safety Research"},"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reputation","display_name":"Reputation","score":0.9246475100517273},{"id":"https://openalex.org/keywords/imitation","display_name":"Imitation","score":0.7020828127861023},{"id":"https://openalex.org/keywords/social-dilemma","display_name":"Social dilemma","score":0.6022393107414246},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.6014216542243958},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5825144648551941},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.5601088404655457},{"id":"https://openalex.org/keywords/dilemma","display_name":"Dilemma","score":0.5386625528335571},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49005091190338135},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.46283650398254395},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4364353120326996},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4351547956466675},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.413515567779541},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.35112398862838745},{"id":"https://openalex.org/keywords/internet-privacy","display_name":"Internet privacy","score":0.3485117554664612},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.2882416844367981},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25649991631507874},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.20542305707931519},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.1976337432861328},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1953333020210266},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.15452057123184204},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.0986788272857666}],"concepts":[{"id":"https://openalex.org/C48798503","wikidata":"https://www.wikidata.org/wiki/Q877546","display_name":"Reputation","level":2,"score":0.9246475100517273},{"id":"https://openalex.org/C126388530","wikidata":"https://www.wikidata.org/wiki/Q1131737","display_name":"Imitation","level":2,"score":0.7020828127861023},{"id":"https://openalex.org/C187206662","wikidata":"https://www.wikidata.org/wiki/Q55607920","display_name":"Social dilemma","level":2,"score":0.6022393107414246},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6014216542243958},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5825144648551941},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.5601088404655457},{"id":"https://openalex.org/C2778496695","wikidata":"https://www.wikidata.org/wiki/Q254128","display_name":"Dilemma","level":2,"score":0.5386625528335571},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49005091190338135},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.46283650398254395},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4364353120326996},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4351547956466675},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.413515567779541},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.35112398862838745},{"id":"https://openalex.org/C108827166","wikidata":"https://www.wikidata.org/wiki/Q175975","display_name":"Internet privacy","level":1,"score":0.3485117554664612},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.2882416844367981},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25649991631507874},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.20542305707931519},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.1976337432861328},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1953333020210266},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.15452057123184204},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0986788272857666},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsyst.2022.3212771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2022.3212771","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"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 Systems Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals"}],"awards":[{"id":"https://openalex.org/G7949491628","display_name":null,"funder_award_id":"62173247","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":56,"referenced_works":["https://openalex.org/W1720363294","https://openalex.org/W1983615375","https://openalex.org/W1984093725","https://openalex.org/W1986147097","https://openalex.org/W1992091346","https://openalex.org/W2001846609","https://openalex.org/W2008620264","https://openalex.org/W2011514205","https://openalex.org/W2012466574","https://openalex.org/W2024845611","https://openalex.org/W2031108002","https://openalex.org/W2034235631","https://openalex.org/W2035945778","https://openalex.org/W2045633722","https://openalex.org/W2053702612","https://openalex.org/W2067392945","https://openalex.org/W2070966549","https://openalex.org/W2073220387","https://openalex.org/W2075677453","https://openalex.org/W2080807791","https://openalex.org/W2083633927","https://openalex.org/W2085805441","https://openalex.org/W2092409386","https://openalex.org/W2095239468","https://openalex.org/W2096843647","https://openalex.org/W2099540651","https://openalex.org/W2102183630","https://openalex.org/W2102838899","https://openalex.org/W2111767253","https://openalex.org/W2112624137","https://openalex.org/W2114633054","https://openalex.org/W2118814351","https://openalex.org/W2118847390","https://openalex.org/W2119458064","https://openalex.org/W2127808790","https://openalex.org/W2130117022","https://openalex.org/W2134928001","https://openalex.org/W2139070438","https://openalex.org/W2153148122","https://openalex.org/W2172052405","https://openalex.org/W2283950796","https://openalex.org/W2305690886","https://openalex.org/W2411280372","https://openalex.org/W2765843332","https://openalex.org/W2900993709","https://openalex.org/W2979803764","https://openalex.org/W2997327380","https://openalex.org/W3014575442","https://openalex.org/W3092370345","https://openalex.org/W3104276772","https://openalex.org/W3126017034","https://openalex.org/W3159634764","https://openalex.org/W3193250911","https://openalex.org/W3196779014","https://openalex.org/W4220778500","https://openalex.org/W6638073256"],"related_works":["https://openalex.org/W2171620274","https://openalex.org/W4224306822","https://openalex.org/W151772128","https://openalex.org/W3172178725","https://openalex.org/W2987676989","https://openalex.org/W4313135617","https://openalex.org/W1593266056","https://openalex.org/W3043795202","https://openalex.org/W2122552832","https://openalex.org/W2359357434"],"abstract_inverted_index":{"Trust":[0],"has":[1,13],"played":[2],"a":[3,15,21,61,128,136],"significant":[4],"role":[5],"in":[6,146],"the":[7,37,74,101,125,132,141,147,160,179],"maintenance":[8],"of":[9,18,24,39,104,127,143,163,174,181,185],"social":[10,30],"links,":[11],"which":[12,91],"attracted":[14],"great":[16],"deal":[17],"concern":[19],"from":[20],"diverse":[22],"range":[23],"fields":[25],"including":[26],"economics,":[27],"finance,":[28],"and":[29,47,76,100,167],"science.":[31],"In":[32],"this":[33],"article,":[34],"we":[35,115],"investigate":[36],"effect":[38],"second-order":[40],"reputation":[41,102,129,144],"evaluation":[42],"on":[43,111],"trust":[44,68,164],"game":[45,69],"dilemma":[46],"explore":[48],"how":[49],"individuals":[50],"establish":[51],"an":[52,154,189],"indirect":[53],"reciprocal":[54],"relationship":[55],"by":[56,72,95],"adjusting":[57],"their":[58,97,105,122],"reputation.":[59],"First,":[60],"novel":[62],"<inline-formula":[63],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[64],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[65],"notation=\"LaTeX\">${N}$</tex-math></inline-formula>":[66],"-player":[67],"is":[70,153],"proposed":[71],"combining":[73],"payoff-driven":[75],"reputation-driven":[77],"update":[78],"processes.":[79],"Second,":[80],"four":[81],"classical":[82],"\u201csecond-order\u201d":[83],"norms":[84],"are":[85,173],"introduced":[86],"to":[87,177],"evaluate":[88],"individual":[89],"reputation,":[90],"will":[92],"be":[93],"judged":[94],"both":[96],"own":[98],"strategies":[99,123],"status":[103],"counterparts.":[106],"Finally,":[107],"through":[108],"extensive":[109],"simulations":[110],"different":[112],"network":[113],"topologies,":[114],"find":[116],"that":[117,157],"untrustworthy":[118],"trustees":[119],"would":[120],"change":[121],"with":[124,140],"help":[126],"signal.":[130],"Meanwhile,":[131],"structured":[133],"population":[134],"presents":[135],"nonmonotonic":[137],"cooperation":[138],"trend":[139],"increase":[142],"strength":[145],"mixed":[148],"imitation":[149],"process.":[150],"Besides,":[151],"there":[152],"optimal":[155],"interval":[156],"can":[158],"promote":[159],"continuous":[161],"emergence":[162,180],"between":[165],"investors":[166],"trustworthy":[168],"trustees.":[169],"The":[170],"current":[171],"results":[172],"high":[175],"importance":[176],"understand":[178],"mutually":[182],"beneficial":[183],"symbiosis":[184],"biological":[186],"groups":[187],"inside":[188],"unknown":[190],"environment.":[191]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":6}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}