Figure 3
From: Evolutionary games on multilayer networks: coordination and equilibrium selection

Coordination rates on layers \(\alpha ^{I}\), \(\alpha ^{II}\), and \(\Delta \alpha\) vs node overlap q for exemplary values of \(\Delta S\) (see Supplementary Material for other values). The upper row (a–c) presents the diagonal case and the bottom row (d–f) the stag hunt. For RD and BR each layer has \(N=1000\) nodes with an intra-layer degree \(k=8\), for UI it is a complete graph with \(N=500\). Each circle represents one of 500 realisations and solid lines show the average values. For each realisation there is one circle for layer I (yellow) and one for layer II (purple). Note, that when layers synchronise \(\alpha ^{I} = \alpha ^{II}\), \(\Delta \alpha = 0\), and both circles overlap looking like one of brownish colour, as well as the solid lines for \(\alpha ^{I}\) and \(\alpha ^{II}\) merge (brown). The dashed line in (a, b, d, e) shows a function fitted to \(\Delta \alpha\).