  In this paper a rigorous proof of the mean field limit for a pedestrian flow
model in two dimensions is given by using a probabilistic method.
  The model under investigation is an interacting particle system coupled to
the eikonal equation on the microscopic scale.
  For stochastic initial data, it is proved that the solution of the
$N$-particle pedestrian flow system with properly chosen cut-off converges in
the probability sense to the solution of the characteristics of the non-cut-off
Vlasov equation.
  Furthermore, the result on propagation of chaos is also deduced in terms of
bounded Lipschitz distance.
