  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.
