Abstract

The dissemination of public opinion has a considerable impact on people's social lives, and the question of how both the government and the media can correctly guide public opinion and restore social stability is an issue that requires urgent attention. Combining the characteristics of public opinion dissemination in the network society leads to individual interaction. Considering the interaction between individual views and network topology, this paper combines the collaborative network model with the distance-constrained Hegselmann-Krause (HK) model to propose a consensus-guided strategy based on interaction constraints. It does this by changing the network topology and limiting the scope of individual interactions, thereby affecting the spread of public opinion. Based on the small-world network, the collaborative network model introduces the two parameters of Connection edge probability p and broken edge probability q, while also proposing a collaborative network model for Connection edge's breaking of the network based on the difference of individual opinion values. This paper designs simulation experiments by changing p, q, and the interaction distance, while also analyzing the results of public opinion's evolution from the perspectives of timeliness and the diversity of viewpoints. The experimental results show that when individuals are restricted from interacting with the surrounding environment and the scope of interaction between individuals is restricted, this will slow down the evolution of public opinion and increase the number of opinion clusters. By contrast, when it is encouraged, the interaction between individuals and the surrounding environment will make the entire system communicate more effectively within a short period of time, promoting the evolutionary benefits of public opinion considerably, shortening the convergence time of public opinion evolution to reach a steady state, and reducing the number of opinion clusters. The strategy is consistent with the phenomena in real life, proving the feasibility of the strategy. It can be shown that our proposed guidance strategy based on interaction constraints can influence the evolution of public opinion, while also offering a certain guiding significance for both the government and the media to guide public opinion.

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