The evolution and optimization control of collective decision-making with opinion preferences on social networks

The kinetic theory is employed to investigate the influence of opinion preferences and user connectivity in social networks on collective decision-making and its optimization control. Collective decision-making takes place not only through traditional offline approaches but also within social networks. To examine how collective decisions evolve in these networks, we establish a joint density function for decision-connectivity and develop two Boltzmann models, one incorporating a control term. Our model accounts for the overall connectivity distribution among individuals and their opinion preferences. In addition, we assume that each agent’s connectivity determines the credibility of the opinions they present. Using the kinetic model, we study the evolution of average decisions and reveal how opinion preferences and connectivity within social networks influence collective decision-making.