Information Spreading Considering Repeated Judgment with Non-Recursion

This paper investigates an information spreading mechanism under repeated judgment. In a generalized model, we prove that given a necessary condition, information under repeated judgment can sustain continuous spreading. Furthermore, we generalize the aforementioned spreading model on heterogeneous networks and calculate the analytic solution of the final state, in which spreaders finally have a stable scale to ensure that information can continuously spread when repeated judgment of information takes place. Moreover, the simulation results show that the more neighbors the spreaders have, the quicker the information vanishes. This finding suggests that in terms of information spreading under repeated judgement, it is not better to have more neighbors, quite contrary to common opinion.