Mixed Hegselmann-Krause Dynamics Ⅱ

The mixed Hegselmann-Krause (HK) model consists of a finite number agents characterized by their opinion, vector in $ {\bf{R^d}} $. For the deterministic case, each agent updates its opinion rule: decide degree stubbornness and mix with average neighbors, whose differs at most some confidence threshold from time step. is studied deterministically [22]. In this paper, we study it nondeterministically involve social relationship among which can vary over time. We investigate circumstances under asymptotic stability holds. Furthermore, argue that covers not only HK but also Deffuant model.