  We discuss the nonlocality of the $W$ and the Dicke states subject to losses.
We consider two noise models, namely loss of excitations and loss of particles,
and investigate how much loss can be tolerated such that the final state
remains nonlocal. This leads to a measure of robustness of the nonlocality of
Dicke states, with a clear physical interpretation. Our results suggest that
the relation between nonlocality and entanglement of Dicke states is not
monotonous.
