{"id":"https://openalex.org/W4415185815","doi":"https://doi.org/10.1016/j.amc.2025.129759","title":"Cooperation and the incentive power distribution on multi-layer hierarchical networks","display_name":"Cooperation and the incentive power distribution on multi-layer hierarchical networks","publication_year":2025,"publication_date":"2025-10-15","ids":{"openalex":"https://openalex.org/W4415185815","doi":"https://doi.org/10.1016/j.amc.2025.129759"},"language":"en","primary_location":{"id":"doi:10.1016/j.amc.2025.129759","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2025.129759","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5100695163","display_name":"Xiaoyan Yu","orcid":"https://orcid.org/0000-0003-0351-8393"},"institutions":[{"id":"https://openalex.org/I181326427","display_name":"Donghua University","ror":"https://ror.org/035psfh38","country_code":"CN","type":"education","lineage":["https://openalex.org/I181326427"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xilai Yu","raw_affiliation_strings":["College of Information Science and Technology, Donghua University, Shanghai, 201620, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Donghua University, Shanghai, 201620, China","institution_ids":["https://openalex.org/I181326427"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kefan Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I181326427","display_name":"Donghua University","ror":"https://ror.org/035psfh38","country_code":"CN","type":"education","lineage":["https://openalex.org/I181326427"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kefan Xia","raw_affiliation_strings":["College of Information Science and Technology, Donghua University, Shanghai, 201620, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Donghua University, Shanghai, 201620, China","institution_ids":["https://openalex.org/I181326427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035752504","display_name":"Shiping Gao","orcid":"https://orcid.org/0000-0001-7959-3635"},"institutions":[{"id":"https://openalex.org/I181326427","display_name":"Donghua University","ror":"https://ror.org/035psfh38","country_code":"CN","type":"education","lineage":["https://openalex.org/I181326427"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shiping Gao","raw_affiliation_strings":["College of Information Science and Technology, Donghua University, Shanghai, 201620, China"],"raw_orcid":"https://orcid.org/0000-0001-7959-3635","affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Donghua University, Shanghai, 201620, China","institution_ids":["https://openalex.org/I181326427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035752504"],"corresponding_institution_ids":["https://openalex.org/I181326427"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.34330694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"512","issue":null,"first_page":"129759","last_page":"129759"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9988999962806702,"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":0.9988999962806702,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.996399998664856,"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/incentive","display_name":"Incentive","score":0.6349999904632568},{"id":"https://openalex.org/keywords/punitive-damages","display_name":"Punitive damages","score":0.6025999784469604},{"id":"https://openalex.org/keywords/sanctions","display_name":"Sanctions","score":0.5264999866485596},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5216000080108643},{"id":"https://openalex.org/keywords/punishment","display_name":"Punishment (psychology)","score":0.4187999963760376},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.3102000057697296},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.30970001220703125},{"id":"https://openalex.org/keywords/multilevel-model","display_name":"Multilevel model","score":0.30469998717308044}],"concepts":[{"id":"https://openalex.org/C29122968","wikidata":"https://www.wikidata.org/wiki/Q1414816","display_name":"Incentive","level":2,"score":0.6349999904632568},{"id":"https://openalex.org/C83645499","wikidata":"https://www.wikidata.org/wiki/Q285466","display_name":"Punitive damages","level":2,"score":0.6025999784469604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5843999981880188},{"id":"https://openalex.org/C2778069335","wikidata":"https://www.wikidata.org/wiki/Q32098","display_name":"Sanctions","level":2,"score":0.5264999866485596},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5216000080108643},{"id":"https://openalex.org/C2779295839","wikidata":"https://www.wikidata.org/wiki/Q3544090","display_name":"Punishment (psychology)","level":2,"score":0.4187999963760376},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.36579999327659607},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.3102000057697296},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.30970001220703125},{"id":"https://openalex.org/C53059260","wikidata":"https://www.wikidata.org/wiki/Q374758","display_name":"Multilevel model","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.3018999993801117},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.28049999475479126},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C2780600066","wikidata":"https://www.wikidata.org/wiki/Q7239828","display_name":"Preferential attachment","level":3,"score":0.26899999380111694},{"id":"https://openalex.org/C64900535","wikidata":"https://www.wikidata.org/wiki/Q5753111","display_name":"Hierarchical network model","level":3,"score":0.26600000262260437},{"id":"https://openalex.org/C2988224531","wikidata":"https://www.wikidata.org/wiki/Q20830730","display_name":"Network structure","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.25760000944137573},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.amc.2025.129759","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2025.129759","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2528921440","display_name":null,"funder_award_id":"61903080","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5565420337","display_name":null,"funder_award_id":"2232023D-26","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W1591812030","https://openalex.org/W1741831408","https://openalex.org/W1969041222","https://openalex.org/W1969173884","https://openalex.org/W1992195122","https://openalex.org/W1997418576","https://openalex.org/W2008620264","https://openalex.org/W2024845611","https://openalex.org/W2025490132","https://openalex.org/W2034262750","https://openalex.org/W2050821205","https://openalex.org/W2069414107","https://openalex.org/W2095758403","https://openalex.org/W2097141283","https://openalex.org/W2106309139","https://openalex.org/W2120607076","https://openalex.org/W2135717526","https://openalex.org/W2146411578","https://openalex.org/W2148512604","https://openalex.org/W2151136700","https://openalex.org/W2157592153","https://openalex.org/W2167287869","https://openalex.org/W2215189257","https://openalex.org/W2237128994","https://openalex.org/W2435008729","https://openalex.org/W2611935276","https://openalex.org/W2618208446","https://openalex.org/W2620110683","https://openalex.org/W2778282313","https://openalex.org/W2901894809","https://openalex.org/W2973038684","https://openalex.org/W2980680981","https://openalex.org/W3009005923","https://openalex.org/W3011401567","https://openalex.org/W3015621511","https://openalex.org/W3020488117","https://openalex.org/W3045729139","https://openalex.org/W3093917585","https://openalex.org/W3094107160","https://openalex.org/W3104180001","https://openalex.org/W3134882872","https://openalex.org/W3160058660","https://openalex.org/W4226494154","https://openalex.org/W4282014708","https://openalex.org/W4291899716","https://openalex.org/W4321378433","https://openalex.org/W4376113525","https://openalex.org/W4379473595","https://openalex.org/W4387418422","https://openalex.org/W4387419560","https://openalex.org/W4389748902","https://openalex.org/W4390381137","https://openalex.org/W4390675566","https://openalex.org/W4391055582","https://openalex.org/W4392654574","https://openalex.org/W4395676577","https://openalex.org/W4399963977","https://openalex.org/W4401816143","https://openalex.org/W4402843901","https://openalex.org/W4403885380","https://openalex.org/W4407922775","https://openalex.org/W4409307096","https://openalex.org/W4409593058"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-15T00:00:00"}