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Fig. 3 | Applied Network Science

Fig. 3

From: Replicator equation on networks with degree regular communities

Fig. 3

Hawk-Dove, death-birth. Fraction of cooperators for the Hawk-Dove game as the graph structure change. The three communities here have degree k=3, k=4, k=7, and c/b=3/8. The black triangle is the level of cooperation in the mean-field case, at x=5/8. When \(\sum _{i} \frac {k_{i}(k_{i}-1)}{(k_{i} +1)} > 8/3\) cooperation prevails, while for all other cases hawks and doves coexist in equilibrium, with a minimum level of cooperation when the graph is 5-regular

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