Geodesic
Convergence analysis for asymmetric Deffuant-Weisbuch model
Kybernetika, Tome 50 (2014) no. 1, pp. 32-45
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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.
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.
DOI : 10.14736/kyb-2014-1-0032
Classification : 60G40, 60H30, 91C99, 91D10, 91D30
Keywords: opinion dynamics; asymmetric Deffuant–Weisbuch model; convergence; separation time 
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Zhang, Jiangbo. Convergence analysis for asymmetric Deffuant-Weisbuch model. Kybernetika, Tome 50 (2014) no. 1, pp. 32-45. doi: 10.14736/kyb-2014-1-0032

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