Abstract

Given the fragmentation of public opinion dissemination and the lag of network users' cognition, the paper analyzes public opinion dissemination with incomplete information, which can provide reference for us to control and guide the spread of public opinion. Based on the derivative and secondary radiation of public opinion dissemination with incomplete information, the Susceptible-Susceptible-Infected-Recovered-Recovered-Infected (SSIRR-I) model is proposed. Given the interaction between users, the Deffuant opinion dynamics model and evolutionary game theory are introduced to simulate the public opinion game between dissemination and immune nodes. Finally, the numerical simulation and results analysis are given. The results reveal that the rate of opinion convergence significantly affects disseminating public opinion, which is positively correlated with the promotion effect of the dissemination node and negatively correlated with the suppression effect of the immune node of public opinion dissemination. Derivative and secondary radiations have different effects on public opinion dissemination in the early stage, but promote public opinion dissemination in the later stage. The dominant immune nodes have an apparent inhibitory effect on the spread of public opinion; nevertheless, they cannot block the dissemination of public opinion.

Highlights

  • With the rapid development of the Internet and social platforms, the way people communicate has constantly been evolving

  • This study investigates the public opinion dissemination process on social networks under incomplete information

  • The SSIRR-I public opinion dissemination model with the derivative and secondary radiations is formulated on the basis of the SIR model

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Summary

Introduction

With the rapid development of the Internet and social platforms, the way people communicate has constantly been evolving. When deciding whether to disseminate public opinion, users of social networks do not have full cognition of public opinion, that is, incomplete information. This leads to the derivative[3] and secondary radiation of public opinion dissemination. It is crucial to study public opinion dissemination under incomplete information to master the rules of public opinion dissemination on the social network. The study discusses the dissemination process and evolution law of public opinion in the social network On this basis, considering the influence of the fragmentation of public opinion transmission and the lag of users’ cognition on the evolution of public opinion under incomplete information, a new public opinion dissemination model is proposed. The results of the research and prospects for further studies are summarized

Literature Review
SSIRR-I dynamic model of public opinion transmission
Modify the Deffuant opinion dynamics model
Construction of the evolutionary game model
Solution and analysis of the game model
Numerical simulation and analysis
Case selection and model fitting comparison
Influence of parameters on the dissemination process of public opinion
Conclusion
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