  Consider a system of autonomous interacting agents moving in space, adjusting
each own velocity as a weighted mean of the relative velocities of the other
agents. In order to test the robustness of the model, we assume that each pair
of agents, at each time step, can fail to connect with certain probability, the
failure rate. This is a modification of the (deterministic) Flocking model
introduced by Cucker and Smale in Emergent behavior in flocks, IEEE Trans. on
Autom. Control, 2007, 52 (May) pp. 852-862. We prove that, if this random
failures are independent in time and space, and have linear or sub-linear
distance dependent rate of decay, the characteristic behavior of flocking
exhibited by the original deterministic model, also holds true under random
failures, for all failure rates.
