Kybernetika 50 no. 1, 32-45, 2014

Convergence analysis for asymmetric Deffuant-Weisbuch model

Jiangbo ZhangDOI: 10.14736/kyb-2014-1-0032

Abstract:

In this paper, we investigate the convergence behavior of the asymmetric Deffuant-Weisbuch (DW) models during the opinion evolution. Based on the convergence of the asymmetric DW model that generalizes the conventional DW model, we first propose a new concept, the separation time, to study the transient behavior during the DW model's opinion evolution. Then we provide an upper bound of the expected separation time with the help of stochastic analysis. Finally, we show relations of the separation time with model parameters by simulations.

Keywords:

convergence, opinion dynamics, asymmetric Deffuant-Weisbuch model, separation time

Classification:

91C99, 91D30, 60G40

paper.pdf

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