Opinion formation models with heterogeneous persuasion and zealotry
In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have a different power of persuasion, as well as his/her own level of zealotry, that is, an individual willingness to be convinced by other agents. In addition, our model includes zealots or stub...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00361410_v50_n5_p4812_PerezLlanos |
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todo:paper_00361410_v50_n5_p4812_PerezLlanos2023-10-03T14:47:41Z Opinion formation models with heterogeneous persuasion and zealotry Pérez-Llanos, M. Pinasco, J.P. Saintier, N. Silva, A. Boltzmann equation Grazing limit Nonlocal transport equations Opinion formation models Delta functions Agent based simulation Grazing limit Heterogeneous agents Limit distribution Nonlocal transport equations Opinion formation models Rate of convergence Transport equation Boltzmann equation In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have a different power of persuasion, as well as his/her own level of zealotry, that is, an individual willingness to be convinced by other agents. In addition, our model includes zealots or stubborn agents, agents that never change opinions. We derive a Bolzmann-like equation for the distribution of agents on the space of opinions, which is approximated by a transport equation with a nonlocal drift term. We study the long-time asymptotic behavior of solutions, characterizing the limit distribution of agents, which consists of the distribution of stubborn agents, plus a delta function at the mean of their opinions, weighted by their power of persuasion. Moreover, explicit bounds on the rate of convergence are given, and the time to convergence is shown to decrease when the number of stubborn agents increases. This is a remarkable fact observed in agent-based simulations in different works. © 2018 Society for Industrial and Applied Mathematics. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00361410_v50_n5_p4812_PerezLlanos |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Boltzmann equation Grazing limit Nonlocal transport equations Opinion formation models Delta functions Agent based simulation Grazing limit Heterogeneous agents Limit distribution Nonlocal transport equations Opinion formation models Rate of convergence Transport equation Boltzmann equation |
| spellingShingle |
Boltzmann equation Grazing limit Nonlocal transport equations Opinion formation models Delta functions Agent based simulation Grazing limit Heterogeneous agents Limit distribution Nonlocal transport equations Opinion formation models Rate of convergence Transport equation Boltzmann equation Pérez-Llanos, M. Pinasco, J.P. Saintier, N. Silva, A. Opinion formation models with heterogeneous persuasion and zealotry |
| topic_facet |
Boltzmann equation Grazing limit Nonlocal transport equations Opinion formation models Delta functions Agent based simulation Grazing limit Heterogeneous agents Limit distribution Nonlocal transport equations Opinion formation models Rate of convergence Transport equation Boltzmann equation |
| description |
In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have a different power of persuasion, as well as his/her own level of zealotry, that is, an individual willingness to be convinced by other agents. In addition, our model includes zealots or stubborn agents, agents that never change opinions. We derive a Bolzmann-like equation for the distribution of agents on the space of opinions, which is approximated by a transport equation with a nonlocal drift term. We study the long-time asymptotic behavior of solutions, characterizing the limit distribution of agents, which consists of the distribution of stubborn agents, plus a delta function at the mean of their opinions, weighted by their power of persuasion. Moreover, explicit bounds on the rate of convergence are given, and the time to convergence is shown to decrease when the number of stubborn agents increases. This is a remarkable fact observed in agent-based simulations in different works. © 2018 Society for Industrial and Applied Mathematics. |
| format |
JOUR |
| author |
Pérez-Llanos, M. Pinasco, J.P. Saintier, N. Silva, A. |
| author_facet |
Pérez-Llanos, M. Pinasco, J.P. Saintier, N. Silva, A. |
| author_sort |
Pérez-Llanos, M. |
| title |
Opinion formation models with heterogeneous persuasion and zealotry |
| title_short |
Opinion formation models with heterogeneous persuasion and zealotry |
| title_full |
Opinion formation models with heterogeneous persuasion and zealotry |
| title_fullStr |
Opinion formation models with heterogeneous persuasion and zealotry |
| title_full_unstemmed |
Opinion formation models with heterogeneous persuasion and zealotry |
| title_sort |
opinion formation models with heterogeneous persuasion and zealotry |
| url |
http://hdl.handle.net/20.500.12110/paper_00361410_v50_n5_p4812_PerezLlanos |
| work_keys_str_mv |
AT perezllanosm opinionformationmodelswithheterogeneouspersuasionandzealotry AT pinascojp opinionformationmodelswithheterogeneouspersuasionandzealotry AT saintiern opinionformationmodelswithheterogeneouspersuasionandzealotry AT silvaa opinionformationmodelswithheterogeneouspersuasionandzealotry |
| _version_ |
1807323108214833152 |