  In this paper, we propose a mathematical model for a Transactive Memory
System (TMS) involved in the cooperative process of learning a task. The model
is based on an intertwined dynamics involving both the individuals level of
expertise and the interaction network among the cooperators. The model shows
that if all the agents are non-stubborn, then all of them are able to acquire
the competence of the most expert members of the group, asymptotically reaching
their level of proficiency. Conversely, when dealing with all stubborn agents,
the capability to pass on the task depends on the connectedness properties of
the interaction graph.
