  A model for opinion dynamics (Model I) has been recently introduced in which
the binary opinions of the individuals are determined according to the size of
their neighboring domains (population having the same opinion). The coarsening
dynamics of the equivalent Ising model shows power law behavior and has been
found to belong to a new universality class with the dynamic exponent $z=1.0
\pm 0.01$ and persistence exponent $\theta \simeq 0.235$ in one dimension. The
critical behavior has been found to be robust for a large variety of annealed
disorder that has been studied. Further, by mapping Model I to a system of
random walkers in one dimension with a tendency to walk towards their nearest
neighbour with probability $\epsilon$, we find that for any $\epsilon > 0.5$,
the Model I dynamical behaviour is prevalent at long times.
