Opinion convergence and management: Opinion dynamics in interactive group decision-making

Decision-making processes are significantly influenced by internal social network interactions and external information inputs. While previous research has highlighted the role of social networks in opinion evolution, the dynamics of information dissemination and its interaction with these networks are less understood. To bridge this gap, we introduce the Social-Information-Opinion Dynamic Supernetwork (SIO-DS) model, which integrates critical factors such as the impact of external information and opinion propagation, alongside the influence of internal social network structures and individual willingness to adjust opinions. This model takes into account the varied levels of confidence and individualized dynamic influence among decision makers, recognizing both their asymmetry and diversity. It performs opinion dynamics using bounded confidence models and parameters that govern information dissemination. We found that scale-free networks, which feature influential leaders, are more effective at reaching consensus compared to small-world networks, which are hindered by limited intergroup connections. The speed of information dissemination is critical; moderate speeds help in maintaining a stable consensus by balancing social influence, while very fast or slow speeds risk exacerbating polarization based on how social influence is managed. The SIO-DS model has broad implications for enhancing decisionmaking in corporate management by optimizing network structures, in public policy by managing public opinion, and in crisis management by developing effective communication strategies. Ultimately, this model not only deepens our understanding of opinion dynamics but also provides practical tools for improving decisionmaking quality and efficiency in various contexts.