{"id":"https://openalex.org/W4403218165","doi":"https://doi.org/10.3390/e26100851","title":"Three-Stage Cascade Information Attenuation for Opinion Dynamics in Social Networks","display_name":"Three-Stage Cascade Information Attenuation for Opinion Dynamics in Social Networks","publication_year":2024,"publication_date":"2024-10-08","ids":{"openalex":"https://openalex.org/W4403218165","doi":"https://doi.org/10.3390/e26100851","pmid":"https://pubmed.ncbi.nlm.nih.gov/39451928"},"language":"en","primary_location":{"id":"doi:10.3390/e26100851","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26100851","pdf_url":"https://www.mdpi.com/1099-4300/26/10/851/pdf?version=1728455601","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/26/10/851/pdf?version=1728455601","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101462431","display_name":"Haomin Wang","orcid":"https://orcid.org/0000-0001-6541-9062"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]},{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haomin Wang","raw_affiliation_strings":["School of Management Science and Engineering, Southwestern University of Finance and Economics, Chengdu 610074, China","Sichuan University Humanities and Social Sciences Key Research Base\u2014Energy Environment Carbon Neutrality Innovation Research Center, Chengdu 610059, China"],"affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Southwestern University of Finance and Economics, Chengdu 610074, China","institution_ids":["https://openalex.org/I204831749"]},{"raw_affiliation_string":"Sichuan University Humanities and Social Sciences Key Research Base\u2014Energy Environment Carbon Neutrality Innovation Research Center, Chengdu 610059, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006540710","display_name":"Youyuan Li","orcid":null},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Youyuan Li","raw_affiliation_strings":["School of Business Administration, Faculty of Business Administration, Southwestern University of Finance and Economics, Chengdu 610074, China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, Faculty of Business Administration, Southwestern University of Finance and Economics, Chengdu 610074, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100416019","display_name":"Chen Jia","orcid":"https://orcid.org/0000-0002-3375-4373"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jia Chen","raw_affiliation_strings":["School of Business Administration, Faculty of Business Administration, Southwestern University of Finance and Economics, Chengdu 610074, China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, Faculty of Business Administration, Southwestern University of Finance and Economics, Chengdu 610074, China","institution_ids":["https://openalex.org/I204831749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100416019"],"corresponding_institution_ids":["https://openalex.org/I204831749"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.2855,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56011437,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"26","issue":"10","first_page":"851","last_page":"851"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":1.0,"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":0.9976999759674072,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9314000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.7296736836433411},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6747551560401917},{"id":"https://openalex.org/keywords/information-cascade","display_name":"Information cascade","score":0.6367325782775879},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5502802729606628},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.502465009689331},{"id":"https://openalex.org/keywords/attenuation","display_name":"Attenuation","score":0.46635523438453674},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.45740723609924316},{"id":"https://openalex.org/keywords/opinion-leadership","display_name":"Opinion leadership","score":0.44422122836112976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20270615816116333},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1599615514278412},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13596704602241516},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.11068877577781677}],"concepts":[{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.7296736836433411},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6747551560401917},{"id":"https://openalex.org/C27286358","wikidata":"https://www.wikidata.org/wiki/Q6031027","display_name":"Information cascade","level":2,"score":0.6367325782775879},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5502802729606628},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.502465009689331},{"id":"https://openalex.org/C184652730","wikidata":"https://www.wikidata.org/wiki/Q2357982","display_name":"Attenuation","level":2,"score":0.46635523438453674},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.45740723609924316},{"id":"https://openalex.org/C139268390","wikidata":"https://www.wikidata.org/wiki/Q1850904","display_name":"Opinion leadership","level":2,"score":0.44422122836112976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20270615816116333},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1599615514278412},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13596704602241516},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.11068877577781677},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e26100851","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26100851","pdf_url":"https://www.mdpi.com/1099-4300/26/10/851/pdf?version=1728455601","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:39451928","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39451928","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11507503","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11507503","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11507503/pdf/entropy-26-00851.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:e16e668a7a6348ea8dccd25f638783be","is_oa":true,"landing_page_url":"https://doaj.org/article/e16e668a7a6348ea8dccd25f638783be","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 26, Iss 10, p 851 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26100851","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26100851","pdf_url":"https://www.mdpi.com/1099-4300/26/10/851/pdf?version=1728455601","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G8083177252","display_name":null,"funder_award_id":"22BGL236","funder_id":"https://openalex.org/F4320335869","funder_display_name":"National Social Science Fund of China"}],"funders":[{"id":"https://openalex.org/F4320329861","display_name":"Natural Science Foundation of Sichuan Province","ror":null},{"id":"https://openalex.org/F4320335869","display_name":"National Social Science Fund of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403218165.pdf"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W1580287907","https://openalex.org/W1660184077","https://openalex.org/W1778162479","https://openalex.org/W1869658413","https://openalex.org/W1965044289","https://openalex.org/W1969871566","https://openalex.org/W1971539830","https://openalex.org/W1975318518","https://openalex.org/W2027514326","https://openalex.org/W2034235887","https://openalex.org/W2053268764","https://openalex.org/W2057340373","https://openalex.org/W2083689991","https://openalex.org/W2086994005","https://openalex.org/W2088760612","https://openalex.org/W2091912630","https://openalex.org/W2113096089","https://openalex.org/W2124637492","https://openalex.org/W2150041461","https://openalex.org/W2266637989","https://openalex.org/W2512829081","https://openalex.org/W2586025571","https://openalex.org/W2593514577","https://openalex.org/W2621213784","https://openalex.org/W2765755511","https://openalex.org/W2769367994","https://openalex.org/W2886322674","https://openalex.org/W2901288482","https://openalex.org/W2901771755","https://openalex.org/W2902252979","https://openalex.org/W2903842143","https://openalex.org/W2914475466","https://openalex.org/W2926198781","https://openalex.org/W2952639455","https://openalex.org/W2965094071","https://openalex.org/W3004050991","https://openalex.org/W3038310958","https://openalex.org/W3089099477","https://openalex.org/W3123241403","https://openalex.org/W3133787368","https://openalex.org/W3159830007","https://openalex.org/W3169877297","https://openalex.org/W4205094158","https://openalex.org/W4254200840","https://openalex.org/W4360835645","https://openalex.org/W4380486162","https://openalex.org/W4389222166","https://openalex.org/W4391133992","https://openalex.org/W6658969337","https://openalex.org/W6676950571","https://openalex.org/W6756295210"],"related_works":["https://openalex.org/W2038891404","https://openalex.org/W3104987177","https://openalex.org/W2810784123","https://openalex.org/W3041929574","https://openalex.org/W2990751567","https://openalex.org/W4200012112","https://openalex.org/W2219275368","https://openalex.org/W4385988053","https://openalex.org/W4292369391","https://openalex.org/W2067425759"],"abstract_inverted_index":{"In":[0],"social":[1,37],"network":[2,191],"analysis,":[3],"entropy":[4,128],"quantifies":[5],"the":[6,13,20,50,58,74,82,122,135,142,175],"uncertainty":[7],"or":[8,113],"diversity":[9],"of":[10,15,22,52,60,84,95,116,154,162,177],"opinions,":[11],"reflecting":[12],"complexity":[14],"opinion":[16,34,96,117,125,145,155],"dynamics.":[17,146],"To":[18,68],"enhance":[19],"understanding":[21],"how":[23],"opinions":[24],"evolve,":[25],"this":[26,70],"study":[27],"introduces":[28],"a":[29,66,99,111,159],"novel":[30],"approach":[31],"to":[32],"modeling":[33],"dynamics":[35,97],"in":[36,124],"networks":[38],"by":[39],"incorporating":[40],"three-stage":[41,100],"cascade":[42,101],"information":[43,61,89,104,130],"attenuation.":[44,90],"Traditional":[45],"models":[46,94,120],"have":[47],"often":[48],"neglected":[49],"influence":[51],"second-":[53],"and":[54,57,88,127,132,187],"third-order":[55],"neighbors":[56],"attenuation":[59],"as":[62,129],"it":[63],"propagates":[64,131],"through":[65,134],"network.":[67,136],"correct":[69],"oversight,":[71],"we":[72,140],"redefine":[73],"interaction":[75],"weights":[76],"between":[77],"individuals,":[78],"taking":[79],"into":[80],"account":[81],"distance":[83],"opining,":[85],"bounded":[86],"confidence,":[87],"We":[91],"propose":[92],"two":[93,114],"using":[98],"mechanism":[102],"for":[103,107],"transmission,":[105],"designed":[106],"environments":[108],"with":[109,158],"either":[110],"single":[112],"subgroups":[115],"leaders.":[118],"These":[119],"capture":[121],"shifts":[123],"distribution":[126],"attenuates":[133],"Through":[137],"simulation":[138],"experiments,":[139],"examine":[141],"ingredients":[143],"influencing":[144],"The":[147],"results":[148],"demonstrate":[149],"that":[150],"an":[151],"increased":[152],"presence":[153],"leaders,":[156],"coupled":[157],"higher":[160],"level":[161],"trust":[163],"from":[164],"their":[165,169],"followers,":[166],"significantly":[167],"amplifies":[168],"influence.":[170],"Furthermore,":[171],"comparative":[172],"experiments":[173],"highlight":[174],"advantages":[176],"our":[178],"proposed":[179],"models,":[180],"including":[181],"rapid":[182],"convergence,":[183],"effective":[184],"leadership":[185],"influence,":[186],"robustness":[188],"across":[189],"different":[190],"structures.":[192]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2025-10-10T00:00:00"}