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The Deffuant model on Z with higher-dimensional opinion spaces

Timo Hirscher (Institutionen för matematiska vetenskaper)
Latin American Journal of Probability and Mathematical Statistics (1980-0436). Vol. XI (2014), 2, p. 409-444.
[Artikel, refereegranskad vetenskaplig]

When it comes to the mathematical modelling of social interaction patterns, a number of different models have emerged and been studied over the last decade, in which individuals randomly interact on the basis of an underlying graph structure and share their opinions. A prominent example of the so-called bounded confidence models is the one introduced by Deffuant et al.: Two neighboring individuals will only interact if their opinions do not differ by more than a given threshold θ. We consider this model on the line graph Z and extend the results that have been achieved for the model with real-valued opinions by considering vector-valued opinions and general metrics measuring the distance between two opinion values. As in the univariate case there turns out to exist a critical value θ_c for θ at which a phase transition in the long-term behavior takes place, but θ_c depends on the initial distribution in a more intricate way than in the univariate case.

Nyckelord: Deffuant model, consensus formation, vector-valued opinions.

Denna post skapades 2014-11-26. Senast ändrad 2016-11-07.
CPL Pubid: 206608


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Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)


Sannolikhetsteori och statistik

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