Communities are common in complex networks and play a significant role in the functioning of social, biological, economic, and technological systems. Despite much interest in detecting community structures in complex networks and exploring the effect of communities on collective dynamics, a deep...

Dynamic stability under the replicator dynamic of evolutionary game theory is investigated for certain symmetric extensive form games whose subgame structure exhibits a high degree of decomposability. It is shown that a pervasive equilibrium strategy is locally asymptotically stable (l.a.s.) if...