Modeling opinion dynamics: Theoretical analysis and continuous approximation

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Frequently we revise our first opinions after talking over with other individuals because we get convinced. Argumentation is a verbal and social process aimed at convincing. It includes conversation and persuasion and the agreement is reached because the new arguments are incorporated. Given the wid...

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Autores principales:	Pinasco, J.P., Semeshenko, V., Balenzuela, P.
Formato:	JOUR
Materias:	Master equations Non-local kernels Opinion dynamics Dynamics Systems analysis Continuous approximations Mathematical approach Nonlocal Opinion formation Pair interactions Theoretical estimation Nonlinear equations
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_09600779_v98_n_p210_Pinasco
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_09600779_v98_n_p210_Pinasco
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spelling	todo:paper_09600779_v98_n_p210_Pinasco2023-10-03T15:53:39Z Modeling opinion dynamics: Theoretical analysis and continuous approximation Pinasco, J.P. Semeshenko, V. Balenzuela, P. Master equations Non-local kernels Opinion dynamics Dynamics Systems analysis Continuous approximations Master equations Mathematical approach Nonlocal Opinion dynamics Opinion formation Pair interactions Theoretical estimation Nonlinear equations Frequently we revise our first opinions after talking over with other individuals because we get convinced. Argumentation is a verbal and social process aimed at convincing. It includes conversation and persuasion and the agreement is reached because the new arguments are incorporated. Given the wide range of opinion formation mathematical approaches, there are however no models of opinion dynamics with nonlocal pair interactions analytically solvable. In this paper we present a novel analytical framework developed to solve the master equations with non-local kernels. For this we used a simple model of opinion formation where individuals tend to get more similar after each interactions, no matter their opinion differences, giving rise to nonlinear differential master equation with non-local terms. Simulation results show an excellent agreement with results obtained by the theoretical estimation. © 2017 Elsevier Ltd Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Balenzuela, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09600779_v98_n_p210_Pinasco
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Master equations Non-local kernels Opinion dynamics Dynamics Systems analysis Continuous approximations Master equations Mathematical approach Nonlocal Opinion dynamics Opinion formation Pair interactions Theoretical estimation Nonlinear equations
spellingShingle	Master equations Non-local kernels Opinion dynamics Dynamics Systems analysis Continuous approximations Master equations Mathematical approach Nonlocal Opinion dynamics Opinion formation Pair interactions Theoretical estimation Nonlinear equations Pinasco, J.P. Semeshenko, V. Balenzuela, P. Modeling opinion dynamics: Theoretical analysis and continuous approximation
topic_facet	Master equations Non-local kernels Opinion dynamics Dynamics Systems analysis Continuous approximations Master equations Mathematical approach Nonlocal Opinion dynamics Opinion formation Pair interactions Theoretical estimation Nonlinear equations
description	Frequently we revise our first opinions after talking over with other individuals because we get convinced. Argumentation is a verbal and social process aimed at convincing. It includes conversation and persuasion and the agreement is reached because the new arguments are incorporated. Given the wide range of opinion formation mathematical approaches, there are however no models of opinion dynamics with nonlocal pair interactions analytically solvable. In this paper we present a novel analytical framework developed to solve the master equations with non-local kernels. For this we used a simple model of opinion formation where individuals tend to get more similar after each interactions, no matter their opinion differences, giving rise to nonlinear differential master equation with non-local terms. Simulation results show an excellent agreement with results obtained by the theoretical estimation. © 2017 Elsevier Ltd
format	JOUR
author	Pinasco, J.P. Semeshenko, V. Balenzuela, P.
author_facet	Pinasco, J.P. Semeshenko, V. Balenzuela, P.
author_sort	Pinasco, J.P.
title	Modeling opinion dynamics: Theoretical analysis and continuous approximation
title_short	Modeling opinion dynamics: Theoretical analysis and continuous approximation
title_full	Modeling opinion dynamics: Theoretical analysis and continuous approximation
title_fullStr	Modeling opinion dynamics: Theoretical analysis and continuous approximation
title_full_unstemmed	Modeling opinion dynamics: Theoretical analysis and continuous approximation
title_sort	modeling opinion dynamics: theoretical analysis and continuous approximation
url	http://hdl.handle.net/20.500.12110/paper_09600779_v98_n_p210_Pinasco
work_keys_str_mv	AT pinascojp modelingopiniondynamicstheoreticalanalysisandcontinuousapproximation AT semeshenkov modelingopiniondynamicstheoreticalanalysisandcontinuousapproximation AT balenzuelap modelingopiniondynamicstheoreticalanalysisandcontinuousapproximation
_version_	1807317068942409728

Modeling opinion dynamics: Theoretical analysis and continuous approximation

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