Overly determined agents prevent consensus in a generalized Deffuant model on Z with dispersed opinions
Artikel i vetenskaplig tidskrift, 2017

During the last decades, quite a number of interacting particle systems have
been introduced and studied in the border area of mathematics and statistical
physics. Some of these can be seen as simplistic models for opinion formation
processes in groups of interacting people. In the one introduced by Deuant
et al. agents, that are neighbors on a given network graph, randomly meet
in pairs and approach a compromise if their current opinions do not dier
by more than a given threshold value . We consider the two-sidedly innite
path Z as underlying graph and extend former investigations to a setting in
which opinions are given by probability distributions. Similar to what has been
shown for nite-dimensional opinions, we observe a dichotomy in the long-term
behavior of the model, but only if the initial narrow-mindedness of the agents
is restricted.

total variation distance

Deffuant model

random measures

opinion dynamics


Timo Hirscher

Advances in Applied Probability

0001-8678 (ISSN) 1475-6064 (eISSN)

Vol. 49 3 722-744


Grundläggande vetenskaper


Sannolikhetsteori och statistik



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