  We realize an extensive numerical study of the Naming Game model with a noise
term which accounts for perturbations. This model displays a non-equilibrium
phase transition between an absorbing ordered consensus state, which occurs for
small noise, and a disordered phase with fragmented clusters characterized by
heterogeneous memories, which emerges at strong noise levels. The nature of the
phase transition is studied by means of a finite-size scaling analysis of the
moments. We observe a scaling behavior typical of a discontinuous transition
and we are able to estimate the thermodynamic limit. The scaling behavior of
the clusters size seems also compatible with this kind of transition.
