Model and interactive algorithm of bi-level multi-objective decision-making with multiple interconnected decision makers

Furthering a prior research on two-person bi-level multi-objective decision-making problems of the leader-follower Stackelberg game, we present an extended model of bi-level multi-objective decision-making with multiple interconnected decision makers at the lower level. In the model, the upper level decision maker acts as a leader and the lower level decision makers behave as the followers, and inter-connections and interactions exist among these followers in decision-making scenarios. Following the rules of leader-follower Stackelberg game, we develop an interactive algorithm of the model for solving multi-objective decision-making problems and reflecting the interactive natures among the decision makers. Finally, the authors exemplify the model and algorithm, and draw a conclusion on points of contributions and the significance of this study in decision-making and support.