Filter Bubbles in Opinion Dynamics

This paper proposes and analyzes a model of opinion dynamics which produces the behavior of filter bubbles. Filter bubbles are feared to seriously narrow the perspectives of individuals in a society, a consequence of the omnipresent online personalization algorithms. This paper produces a full model development description, based upon fundamental assumptions. It is shown that the model presumably asymptotically converges into one or more clusters of opinions. Furthermore, configurations are described under which the model produces filter bubbles.