  Social discrimination seems to be a persistent phenomenon in many cultures.
It is important to understand the mechanisms that lead people to judge others
by the group to which they belong, rather than individual qualities. It was
recently shown that evolutionary (imitation) dynamics can lead to a
hierarchical discrimination between agents marked with observable, but
otherwise meaningless, labels. These findings suggest that it can give useful
insight, to describe the phenomenon of social discrimination in terms of
spontaneous symmetry breaking. The investigations so far have, however, only
considered binary labels. In this contribution we extend the investigations to
models with up to seven different labels. We find the features known from the
binary label model remain remarkably robust when the number of labels is
increased. We also discover a new feature, namely that it is more likely for
neighbours to have strategies which are similar, in the sense that they agree
on how to act towards a subset of the labels.
