  The mixed Hegselmann-Krause (HK) model covers the synchronous
Hegselmann-Krause model, the asynchronous Hegselmann-Krause model and the
Deffuant model. Previous study~\cite{mHK, mHK2} deals with the mixed HK model
on finite graphs. In the study, we discuss the mixed HK model on infinite
graphs which also covers the HK model and the Deffuant model on infinite
graphs. We investigate conditions under which asymptotic stability holds or any
two vertices in the same component approaches each other after some finite
time.
