{"id":"https://openalex.org/W2964054734","doi":"https://doi.org/10.1137/16m1083402","title":"Consensus and Disagreement: The Role of Quantized Behaviors in Opinion Dynamics","display_name":"Consensus and Disagreement: The Role of Quantized Behaviors in Opinion Dynamics","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2964054734","doi":"https://doi.org/10.1137/16m1083402","mag":"2964054734"},"language":"en","primary_location":{"id":"doi:10.1137/16m1083402","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1083402","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01741358","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067240775","display_name":"Francesca Ceragioli","orcid":"https://orcid.org/0000-0002-8370-434X"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesca Ceragioli","raw_affiliation_strings":["Polito - Politecnico di Torino = Polytechnic of Turin (Politecnico di Torino - Corso Duca degli Abruzzi, 24 10129 Torino - Italie)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Polito - Politecnico di Torino = Polytechnic of Turin (Politecnico di Torino - Corso Duca degli Abruzzi, 24 10129 Torino - Italie)","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050626793","display_name":"Paolo Frasca","orcid":"https://orcid.org/0000-0003-0962-3119"},"institutions":[{"id":"https://openalex.org/I4210101348","display_name":"Centre Inria de l'Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/00n8d6z93","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210101348"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Paolo Frasca","raw_affiliation_strings":["NECS - Networked Controlled Systems (Centre de Recherche Inria\r\n655 Avenue de l'Europe, \r\n38330 Montbonnot-Saint-Martin\r\n\r\n\r\nGIPSA-labGIPSA-lab, \r\n11 rue des Math\u00e9matiques, \r\nGrenoble Campus BP46,\r\n F-38402 SAINT MARTIN D'HERES CEDEX  - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NECS - Networked Controlled Systems (Centre de Recherche Inria\r\n655 Avenue de l'Europe, \r\n38330 Montbonnot-Saint-Martin\r\n\r\n\r\nGIPSA-labGIPSA-lab, \r\n11 rue des Math\u00e9matiques, \r\nGrenoble Campus BP46,\r\n F-38402 SAINT MARTIN D'HERES CEDEX  - France)","institution_ids":["https://openalex.org/I4210101348","https://openalex.org/I4210124956"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7771,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.85637457,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"56","issue":"2","first_page":"1058","last_page":"1080"},"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":0.9937000274658203,"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/T11804","display_name":"Quantum many-body systems","score":0.9505000114440918,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/dynamics","display_name":"Dynamics (music)","score":0.6528584957122803},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.40981486439704895}],"concepts":[{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6528584957122803},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.40981486439704895},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/16m1083402","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1083402","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01741358v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01741358","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2018, 56 (2), pp.1058 - 1080. &#x27E8;10.1137/16M1083402&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01741358v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01741358","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2018, 56 (2), pp.1058 - 1080. &#x27E8;10.1137/16M1083402&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1765869492","https://openalex.org/W1906769221","https://openalex.org/W1965044289","https://openalex.org/W1967509640","https://openalex.org/W1993974006","https://openalex.org/W2010709227","https://openalex.org/W2019012374","https://openalex.org/W2022149728","https://openalex.org/W2048723778","https://openalex.org/W2058105398","https://openalex.org/W2081632029","https://openalex.org/W2094871536","https://openalex.org/W2099071366","https://openalex.org/W2102778033","https://openalex.org/W2116802825","https://openalex.org/W2121039643","https://openalex.org/W2121607663","https://openalex.org/W2124535681","https://openalex.org/W2158820400","https://openalex.org/W2263702930","https://openalex.org/W2963926440","https://openalex.org/W3083024126"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2931662336","https://openalex.org/W2077865380","https://openalex.org/W2765597752","https://openalex.org/W2134894512","https://openalex.org/W2083375246","https://openalex.org/W2067108088","https://openalex.org/W2085372204","https://openalex.org/W4391301621","https://openalex.org/W2769102919"],"abstract_inverted_index":{"This":[0,175],"paper":[1],"deals":[2],"with":[3,132],"continuous-time":[4],"opinion":[5,21],"dynamics":[6,43],"that":[7,45,103,121,165,178],"feature":[8],"the":[9,20,29,39,46,50,78,145,171,195,198],"interplay":[10],"of":[11,22,31,41,49,82,95,144,148,162,173],"continuous":[12],"opinions":[13],"and":[14,54,72,80,89,117,154],"discrete":[15],"behaviors.":[16],"In":[17,128],"our":[18,66],"model,":[19],"one":[23],"individual":[24],"is":[25,44,126,168,186,200],"only":[26],"influenced":[27],"by":[28,159,202],"behaviors":[30],"fellow":[32],"individuals.":[33],"The":[34],"key":[35],"technical":[36],"difficulty":[37],"in":[38,61,65,170,188],"study":[40,137],"these":[42,133],"right-hand":[47],"sides":[48],"equations":[51],"are":[52,104],"discontinuous":[53],"thus":[55],"their":[56],"solutions":[57,84,151],"must":[58],"be":[59,112],"intended":[60],"some":[62,189],"generalized":[63],"sense:":[64],"analysis,":[67],"we":[68,90,136,155],"consider":[69],"both":[70],"Carath\u00e9odory":[71,83,96],"Krasovskii":[73,138,150],"solutions.":[74,139],"We":[75,140],"first":[76],"prove":[77,156],"existence":[79],"completeness":[81],"from":[85,115,152],"every":[86],"initial":[87],"condition":[88],"highlight":[91],"a":[92,204,207],"pathological":[93,134],"behavior":[94],"solutions,":[97],"which":[98],"can":[99,111,180],"converge":[100],"to":[101,123,130],"points":[102,110],"not":[105],"(Carath\u00e9odory)":[106],"equilibria.":[107],"Notably,":[108],"such":[109,164],"arbitrarily":[113],"far":[114],"consensus":[116,153,185],"indeed":[118],"simulations":[119],"show":[120],"convergence":[122],"nonconsensus":[124],"configurations":[125],"common.":[127],"order":[129],"cope":[131],"attractors,":[135],"give":[141],"an":[142,160],"estimate":[143],"asymptotic":[146],"distance":[147,167],"all":[149],"its":[157],"tightness":[158],"example":[161],"equilibrium":[163],"this":[166],"quadratic":[169],"number":[172],"agents.":[174],"fact":[176],"implies":[177],"quantization":[179],"drastically":[181],"destroy":[182],"consensus.":[183],"However,":[184],"guaranteed":[187],"special":[190],"cases,":[191],"for":[192],"instance,":[193],"when":[194],"communication":[196],"among":[197],"individuals":[199],"described":[201],"either":[203],"complete":[205,208],"or":[206],"bipartite":[209],"graph.":[210]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
