Before revision:  Social categorizations can, on the one hand, lead to a sense of belonging, and on the other hand, fuel conflicts. Thus, it is vital to understand where and how the boundaries for social categories form. We present a dynamical systems model for the formation of two social groups  on a continuous attribute.
After revision:  Social categorizations can, on the one hand, lead to a sense of community, and negative ones, such as group conflict. Further, individuals in the middle of the spectrum can fall through the cracks of this categorization process and are seen as out-group by individuals on either side of the spectrum, becoming inbetweeners. Here, we propose a quantitative, dynamical-system model that studies the joint influence of cognitive and social processes. We model where two social groups on a continuous attribute.