A dynamic dual-trust network-based consensus model for individual non-cooperative behaviour management in group decision-making

Abstract

In group decision-making, trust relationships are the basis of interactions among decision makers (DMs) and play an important role in maintaining cooperation. However, DMs from different backgrounds may use the trust relationship to influence the opinion adjustment of other individuals and adopt non-cooperative behaviours, which will also consume trust among DMs, both of which are ignored by extant consensus models. To explore the mutual influence of trust relationships, consensus processes, and non-cooperative behaviour, a consensus model for individual non-cooperative behaviour management in group decision-making under a dynamic dual-trust network is proposed. First, to represent the trust relationship among DMs in a more realistic way, a dynamic dual-trust network based on familiarity-based trust and similarity-based trust is developed. This approach can comprehensively model the interpersonal relationship and opinion similarity among DMs, while dynamically updating according to their interactions. Second, a minimum adjustment consensus model based on a dual-trust relationship is proposed. This model can provide adjustment suggestions to DMs to retain initial opinions as much as possible while considering the impact of trust relationships on opinion adjustments. Subsequently, a non-cooperative behaviour management method based on non-cooperative willingness and trust risk is designed to classify the behaviour of DMs and then adjust their trust relationship and weight accordingly. Subsequently, an illustrative example is provided to demonstrate the effectiveness of the proposed method. Finally, the validity of the model is verified through a simulation and comparative analysis.