  We investigate opinion spreading by a threshold model in a situation where
the influence of people is heterogeneously distributed. We focus on the
response of the average opinion as a function between the trend between
out-degree (number of neighbors)---effectively the strength of influence of a
node---and the threshold for adopting a new product or opinion. We find that if
the coupling is very positive, the final state of the system will be a mix of
different opinions otherwise it will it converges to a consensus state. We find
that this cannot be simply explained as a phase transition, but emerges from a
combination of mechanisms and their relative dominance in different regions of
parameter space.
