Modulus Consensus Protocol Design of Discrete-Time Opinion Dynamics on Social Networks Problem description: Opinion dynamics, aiming at describing the evolution of opinions among large populations with social

Opinion dynamics, aiming at describing the evolution of opinions among large populations with social influence, have been widely inspected and a host of models have been reported. However, most of them are considered on cooperative networks which is not the common case because there exist not only cooperative but also antagonistic or competitive relations, e.g., competition between commercial, political, sports and social groups, which leads to persistent disagreement or clustering of opinions [1]. Modulus consensus, consisting of consensus, polarization and neutralization, is a general notion for opinion separation and the main concern of this topic. We are aiming at design a protocol to achieve modulus consensus for discrete-time opinion dynamics on social networks described by signed graphs. For the three facets of this topics, i.e., opinion dynamics, interaction topology and protocol, we consider homogeneous and heterogeneous models, fixed and time-varying graphs [2], and static and dynamic protocols, respectively. And the tasks are as follows.