1 Key Laboratory of Data Analytics and Optimization for Smart Industry (Northeastern University), Ministry of Education, Shenyang 110819, China; 2 Institute of Industrial and Systems Engineering, College of Information Science and Engineering, Northeastern University, Shenyang 110819, China; 3 Liaoning Engineering Laboratory of Operations Analytics and Optimization for Smart Industry, Northeastern University, Shenyang 110819, China
Abstract Voter model is an important basic model in statistical physics. In recent years, it has been more and more used to describe the process of opinion formation in sociophysics. In real complex systems, the interactive network of individuals is dynamically adjusted, and the evolving network topology and individual behaviors affect each other. Therefore, we propose a linking dynamics to describe the coevolution of network topology and individual behaviors in this paper, and study the voter model on the adaptive network. We theoretically analyze the properties of the voter model, including consensus probability and time. The evolution of opinions on dynamic networks is further analyzed from the perspective of evolutionary game. Finally, a case study of real data is shown to verify the effectiveness of the theory.
Fund: Project supported by the Major Program of the National Natural Science Foundation of China (Grant No.71790614),the National Natural Science Foundation of China (Grant Nos.61703082,71520107004,and 71621061),the Fundamental Research Funds for the Central Universities,China (Grant No.N2004004),the General Program of the Educational Department of Liaoning Province,China (Grant No.LJKZ0013),and the 111 Project (Grant No.B16009).
Jinming Du(杜金铭) Voter model on adaptive networks 2022 Chin. Phys. B 31 058902
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