| Abstract: |
| 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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