Abstract
In the present paper, we propose a novel opinion dynamics model referred to as nucleus Hegselmann-Krause (NHK) model, which depicts the influence of the neighbor is directly proportional to the opinion distance in the first similarity interval and is inversely proportional to the opinion distance in the second similarity interval. The convergence of the NHK opinion dynamics model is analysed by the property of weight matrix. Moreover, the NHK model with cognitive neighbor and spatial neighbor are respectively studied by the scale-free networks and the small-world networks. Finally, the NHK model with stubborn individuals is considered, it is disclosed that the larger the proportion of the similar individuals in the community is, the faster the opinion of individuals reaching consensus.
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