The dynamics of coupled logistic social groups

•A generalised model of the ‘two state’ model of social groups.•Model amenable to analytic solution in certain cases.•A novel set of scenarios considered–including ‘agenda reflecting’ media in a society.

A society made up of a network of social groups is investigated. Each group is partitioned into two mutually exclusive subsets with the movement of members between the two subsets being modelled via a logistic-like equation. We consider various ways in which the groups in the network may influence each other, via both group size and the utility groups place on the possible subsets. Scenarios where social groups act as ‘agenda setters’ for the rest of the society are considered. A number of analytic and numerical results are presented.