(CMMSE paper) Social power of a stubborn leader and synchronization of agent opinions in the Concord/Partial Antagonism model of opinion dynamics

(CMMSE paper) Social power of a stubborn leader and synchronization of agent opinions in the Concord/Partial Antagonism model of opinion dynamics | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 1 October 2025 V1 Latest version Share on (CMMSE paper) Social power of a stubborn leader and synchronization of agent opinions in the Concord/Partial Antagonism model of opinion dynamics Authors : Evgeny Kurmyshev 0000-0003-2832-5918 [email protected] and Fernando Flores Briceño 0009-0002-8641-3764 Authors Info & Affiliations https://doi.org/10.22541/au.175929324.46992431/v1 170 views 107 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Complex multi-parametric networked agent based social system described by a large set (system) of nonlinear coupled difference equations, the coupling being multiplicative, with a non-markovian stochastic dynamics is considered. In social modelling context, the model is referred as the agent based relative agreement opinion dynamics model. In the frame of this model, we look for the numerical solutions studying the problem of opinion synchronization of agents to the opinion of a leader, being stubborn Dictator or Democrat of solid conviction. In social context the problem can be interpreted as a study of social power of leaders in different scenarios of the society presented by a set of model parameters. We get bifurcation diagrams of final opinion distribution under different social conditions in function of tolerance, one of the main parameters of the system and calculate social power of leaders. Dictator shows stable performance of social power. Under the same conditions as for the Dictator, Democrat being the opposed type of leader demonstrates rather irregular social power up to the total loss of control over society in a variety of societies. Opinion synchronization in the presence of Democratic leader with feedback from agents is considered also. Supplementary Material File (articulo_cmmse 2025_v_29-09-2025_kev_final.docx) Download 3.14 MB Information & Authors Information Version history V1 Version 1 01 October 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords networked societies opinion dynamics opinion leadership social synchronization Authors Affiliations Evgeny Kurmyshev 0000-0003-2832-5918 [email protected] Universidad de Guadalajara - Centro Universitario de Los Lagos View all articles by this author Fernando Flores Briceño 0009-0002-8641-3764 Universidad de Guadalajara - Centro Universitario de Los Lagos View all articles by this author Metrics & Citations Metrics Article Usage 170 views 107 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Evgeny Kurmyshev, Fernando Flores Briceño. (CMMSE paper) Social power of a stubborn leader and synchronization of agent opinions in the Concord/Partial Antagonism model of opinion dynamics. Authorea . 01 October 2025. DOI: https://doi.org/10.22541/au.175929324.46992431/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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