Before revision:  Here, we investigate how cooperation is affected by correlations between cooperative strategy and individual connectedness in different networks, by means of simulation models. We find that placing cooperators on well-connected (high-degree) nodes can - as expected - enhance cooperation, but will only do so under certain conditions. The effect depends nontrivially on the combination of the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses , i.e. defectors placed within clusters of cooperators.
After revision:  Here, we investigate how cooperation is affected by correlations between cooperativeness and individual social connectedness. Using simulation models, we find that the effect of correlation between cooperativeness and connectedness (degree) depends on the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses , i.e. defectors placed within clusters of cooperators.