Hierarchical Cucker-Smale Model Subject to Random Failure

Consider a system of autonomous interacting agents in , where each agent adjusts its velocity according to its own past velocity and a weighted mean of the relative velocitiesof its superiors in a certain pre- scribed hierarchy. Furthermore, each agent, at each time step, can fail to see any of its superiors with a certain probability, the failure rateproba- bility. We prove that for agent interactions with linear or sub-linear dis- tance dependent rate of decay, the flocking results valid for the non-failure deterministic model introduced by Shen (8) also hold true, independently of the failure rateprobability.