Artículo
An analytical formulation for multidimensional continuous opinion models
Fecha de publicación:
11/2021
Editorial:
Elsevier
Revista:
Chaos, Solitons And Fractals
ISSN:
0960-0779
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Usually, opinion formation models assume that individuals have an opinion about a given topic which can change due to interactions with others. However, individuals can have different opinions on different topics and therefore n-dimensional models are best suited to deal with these cases. While there have been many efforts to develop analytical models for one dimensional opinion models, less attention has been paid to multidimensional ones. In this work, we develop an analytical approach for multidimensional models of continuous opinions. We show that for any generic reciprocal interactions between agents, the mean value of initial opinion distribution is conserved. Moreover, for positive social influence interaction mechanisms, the variance of opinion distributions decreases with time and the system converges to a delta distributed function. In particular, we calculate the convergence time when agents get closer in a discrete quantity after interacting, showing a clear difference between cases where the approach is through Manhattan or Euclidean distance.
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Identificadores
Colecciones
Articulos(OCA CIUDAD UNIVERSITARIA)
Articulos de OFICINA DE COORDINACION ADMINISTRATIVA CIUDAD UNIVERSITARIA
Articulos de OFICINA DE COORDINACION ADMINISTRATIVA CIUDAD UNIVERSITARIA
Citación
Pedraza, Lucía Inés; Pinasco, Juan Pablo; Saintier, Nicolas Bernard Claude; Balenzuela, Pablo; An analytical formulation for multidimensional continuous opinion models; Elsevier; Chaos, Solitons And Fractals; 152; 11-2021; 1-8
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