期刊
JOURNAL OF STATISTICAL PHYSICS
卷 175, 期 1, 页码 97-125出版社
SPRINGER
DOI: 10.1007/s10955-019-02246-y
关键词
Multi-agent systems; Differential games; Boltzmann equation; Opinion leaders; Consensus dynamics; Knowledge
资金
- Compagnia di San Paolo (Torino, Italy)
We consider a constrained hierarchical opinion dynamics in the case of leaders' competition and with complete information among leaders. Each leaders' group tries to drive the followers' opinion towards a desired state accordingly to a specific strategy. By using the Boltzmann-type control approach we analyze the best-reply strategy for each leaders' population. Derivation of the corresponding Fokker-Planck model permits to investigate the asymptotic behaviour of the solution. Heterogeneous followers populations are then considered where the effect of knowledge impacts the leaders' credibility and modifies the outcome of the leaders' competition.
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