Abstract
A 2×2 symmetry game model implemented by a co-evolution mechanism of both networks and strategy, inspired by Zimmermann & Eguiluz's work is established. A Series of numerical experiments, considering various 2×2 game structures, reveals that the proposed co-evolution mechanism can solve dilemmas in several game classes. The effect of solving a dilemma means the mutual-cooperation reciprocity (R reciprocity), which is brought about by emerging several cooperative hub agents who have plenty of links. The co-evolution mechanism, however, seems counterproductive for game classes of Leader and Hero, where the alternating reciprocity (ST reciprocity) is meaningful.