Metanorms is a mechanism proposed to promote cooperation in social dilemmas. Recent experimental results show that
network structures that underlie social interactions influence the emergence of norms that promote cooperation. We
generalize Axelrod’s analysis of metanorms dynamics to interactions unfolding on networks through simulation and
mathematical modeling. Network topology strongly influences the effectiveness of the metanorms mechanism in
establishing cooperation. In particular, we find that average degree, clustering coefficient and the average number of
triplets per node play key roles in sustaining or collapsing cooperation
