{"id":"https://openalex.org/W2512344338","doi":"https://doi.org/10.3390/e19070371","title":"Conformity, Anticonformity and Polarization of Opinions: Insights from a Mathematical Model of Opinion Dynamics","display_name":"Conformity, Anticonformity and Polarization of Opinions: Insights from a Mathematical Model of Opinion Dynamics","publication_year":2017,"publication_date":"2017-07-19","ids":{"openalex":"https://openalex.org/W2512344338","doi":"https://doi.org/10.3390/e19070371","mag":"2512344338"},"language":"en","primary_location":{"id":"doi:10.3390/e19070371","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19070371","pdf_url":"https://www.mdpi.com/1099-4300/19/7/371/pdf?version=1500543720","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":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/19/7/371/pdf?version=1500543720","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Tyll Krueger","orcid":null},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]},{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tyll Krueger","raw_affiliation_strings":["Department of Control Systems and Mechatronics, Wroc\u0142aw University of Science and Technology, Wroc\u0142aw 50-370, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control Systems and Mechatronics, Wroc\u0142aw University of Science and Technology, Wroc\u0142aw 50-370, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Janusz Szwabi\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]},{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Janusz Szwabi\u0144ski","raw_affiliation_strings":["Faculty of Pure and Applied Mathematics, Wroc\u0142aw University of Science and Technology, Wroc\u0142aw 50-370, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Pure and Applied Mathematics, Wroc\u0142aw University of Science and Technology, Wroc\u0142aw 50-370, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I686019"]}]},{"author_position":"last","author":{"id":null,"display_name":"Tomasz Weron","orcid":null},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]},{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tomasz Weron","raw_affiliation_strings":["Faculty of Pure and Applied Mathematics, Wroc\u0142aw University of Science and Technology, Wroc\u0142aw 50-370, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Pure and Applied Mathematics, Wroc\u0142aw University of Science and Technology, Wroc\u0142aw 50-370, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I686019"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":3.2996,"has_fulltext":true,"cited_by_count":46,"citation_normalized_percentile":{"value":0.92162246,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"19","issue":"7","first_page":"371","last_page":"371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9972000122070312,"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":0.9972000122070312,"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":0.00019999999494757503,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/conformity","display_name":"Conformity","score":0.7172999978065491},{"id":"https://openalex.org/keywords/polarization","display_name":"Polarization (electrochemistry)","score":0.6541000008583069},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5379999876022339},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.47870001196861267},{"id":"https://openalex.org/keywords/social-dynamics","display_name":"Social dynamics","score":0.400299996137619},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36649999022483826},{"id":"https://openalex.org/keywords/social-system","display_name":"Social system","score":0.3560999929904938},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.34529998898506165}],"concepts":[{"id":"https://openalex.org/C142172996","wikidata":"https://www.wikidata.org/wiki/Q221284","display_name":"Conformity","level":2,"score":0.7172999978065491},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6970999836921692},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.6541000008583069},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5379999876022339},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.47870001196861267},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46709999442100525},{"id":"https://openalex.org/C67469775","wikidata":"https://www.wikidata.org/wiki/Q304922","display_name":"Social dynamics","level":2,"score":0.400299996137619},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3986000120639801},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36649999022483826},{"id":"https://openalex.org/C179133015","wikidata":"https://www.wikidata.org/wiki/Q1639378","display_name":"Social system","level":2,"score":0.3560999929904938},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.34529998898506165},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.3427000045776367},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3379000127315521},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3255999982357025},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.32089999318122864},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.3133000135421753},{"id":"https://openalex.org/C2781396049","wikidata":"https://www.wikidata.org/wiki/Q7942158","display_name":"Voter model","level":2,"score":0.31310001015663147},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.31189998984336853},{"id":"https://openalex.org/C4727928","wikidata":"https://www.wikidata.org/wiki/Q17164759","display_name":"Social network (sociolinguistics)","level":3,"score":0.2897000014781952},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.2872999906539917},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.26330000162124634},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.25600001215934753},{"id":"https://openalex.org/C43596424","wikidata":"https://www.wikidata.org/wiki/Q98124957","display_name":"Probability and statistics","level":2,"score":0.25279998779296875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2500999867916107}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e19070371","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19070371","pdf_url":"https://www.mdpi.com/1099-4300/19/7/371/pdf?version=1500543720","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":"pmh:oai:arXiv.org:1608.08810","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1608.08810","pdf_url":"https://arxiv.org/pdf/1608.08810","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:2578ea2b3e4746a7bc57220a101be2e2","is_oa":true,"landing_page_url":"https://doaj.org/article/2578ea2b3e4746a7bc57220a101be2e2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 19, Iss 7, p 371 (2017)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/19/7/371/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e19070371","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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; Volume 19; Issue 7; Pages: 371","raw_type":"Text"},{"id":"doi:10.5281/zenodo.167817","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.167817","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e19070371","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19070371","pdf_url":"https://www.mdpi.com/1099-4300/19/7/371/pdf?version=1500543720","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2512344338.pdf","grobid_xml":"https://content.openalex.org/works/W2512344338.grobid-xml"},"referenced_works_count":75,"referenced_works":["https://openalex.org/W39211390","https://openalex.org/W1579536899","https://openalex.org/W1604048358","https://openalex.org/W1960932261","https://openalex.org/W1974703630","https://openalex.org/W1980565545","https://openalex.org/W1985861826","https://openalex.org/W1991840022","https://openalex.org/W1994020563","https://openalex.org/W1994390718","https://openalex.org/W1995302859","https://openalex.org/W1995560574","https://openalex.org/W1996362490","https://openalex.org/W2001655314","https://openalex.org/W2002000693","https://openalex.org/W2004949176","https://openalex.org/W2005336610","https://openalex.org/W2011047110","https://openalex.org/W2014068658","https://openalex.org/W2021903216","https://openalex.org/W2028923743","https://openalex.org/W2030364916","https://openalex.org/W2031691459","https://openalex.org/W2035809654","https://openalex.org/W2037451280","https://openalex.org/W2037824076","https://openalex.org/W2041266989","https://openalex.org/W2042714524","https://openalex.org/W2045114639","https://openalex.org/W2046643693","https://openalex.org/W2058105398","https://openalex.org/W2065907218","https://openalex.org/W2070952198","https://openalex.org/W2072366385","https://openalex.org/W2081989682","https://openalex.org/W2083824869","https://openalex.org/W2087921080","https://openalex.org/W2089176229","https://openalex.org/W2101134179","https://openalex.org/W2110779403","https://openalex.org/W2113096089","https://openalex.org/W2114747139","https://openalex.org/W2121451734","https://openalex.org/W2124467293","https://openalex.org/W2129624422","https://openalex.org/W2130088132","https://openalex.org/W2132490153","https://openalex.org/W2137835179","https://openalex.org/W2137861726","https://openalex.org/W2150375325","https://openalex.org/W2150398127","https://openalex.org/W2151789396","https://openalex.org/W2151936673","https://openalex.org/W2155564353","https://openalex.org/W2157658031","https://openalex.org/W2159277541","https://openalex.org/W2166155258","https://openalex.org/W2170977349","https://openalex.org/W2178519838","https://openalex.org/W2305055101","https://openalex.org/W2470586102","https://openalex.org/W2512344338","https://openalex.org/W2549094133","https://openalex.org/W2605543710","https://openalex.org/W2796230362","https://openalex.org/W2963793411","https://openalex.org/W3101413764","https://openalex.org/W3125714960","https://openalex.org/W4300107936","https://openalex.org/W6603689333","https://openalex.org/W6684452293","https://openalex.org/W6684734344","https://openalex.org/W6747246725","https://openalex.org/W6773842061","https://openalex.org/W6785502281"],"related_works":[],"abstract_inverted_index":{"Understanding":[0],"and":[1,21,31,64,106],"quantifying":[2],"polarization":[3],"in":[4,23,59,78,92,136,164],"social":[5,55,72],"systems":[6],"is":[7,102,140],"important":[8],"because":[9],"of":[10,42,46,52,109,125],"many":[11],"reasons.":[12],"It":[13],"could":[14],"for":[15],"instance":[16],"help":[17],"to":[18,27,54,80],"avoid":[19],"segregation":[20],"conflicts":[22],"the":[24,43,60,68,75,83,89,117,123,131,137,148,160],"society":[25],"or":[26],"control":[28],"polarized":[29,166],"debates":[30],"predict":[32],"their":[33],"outcomes.":[34],"In":[35],"this":[36],"paper,":[37],"we":[38],"present":[39],"a":[40,71,93,165],"version":[41],"q-voter":[44,62],"model":[45,69,101],"opinion":[47,90,150],"dynamics":[48,91],"with":[49,74],"two":[50,97,120,143],"types":[51],"responses":[53,87],"influence:":[56],"conformity":[57],"(like":[58],"original":[61],"model)":[63],"anticonformity.":[65],"We":[66],"put":[67],"on":[70],"network":[73],"double-clique":[76],"topology":[77],"order":[79],"check":[81],"how":[82],"interplay":[84],"between":[85,127],"those":[86],"impacts":[88],"population":[94],"divided":[95],"into":[96],"antagonistic":[98,144],"segments.":[99],"The":[100],"analyzed":[103],"analytically,":[104],"numerically":[105],"by":[107],"means":[108],"Monte":[110],"Carlo":[111],"simulations.":[112],"Our":[113],"results":[114],"show":[115],"that":[116,158],"system":[118,139,161],"undergoes":[119],"bifurcations":[121],"as":[122],"number":[124],"cross-links":[126],"cliques":[128,145],"changes.":[129],"Below":[130],"first":[132],"critical":[133],"point,":[134,159],"consensus":[135],"entire":[138],"possible.":[141],"Thus,":[142],"may":[146],"share":[147],"same":[149],"only":[151],"if":[152],"they":[153],"are":[154],"loosely":[155],"connected.":[156],"Above":[157],"ends":[162],"up":[163],"state.":[167]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-09-16T00:00:00"}
