Fig. 2: Adding mutation restores extinct strategies, reproducing outcomes from large populations. | Communications Physics

Fig. 2: Adding mutation restores extinct strategies, reproducing outcomes from large populations.

From: Mutation mitigates finite-size effects in spatial evolutionary games

Fig. 2

The figure shows the frequencies of cooperators (C, blue), defectors (D, orange), and loners (L, green) over time in the spatial optional public goods game on a network of size N = 2002. The top panels (a, b) correspond to a synergy factor of r = 2.02 and bottom panels (c, d) to r = 4.6. The left panels (a, c) display results without mutation, where certain strategies occasionally go extinct due to finite-size effects. The right panels (b, d) show outcomes with mutation introduced at a fixed rate of μ = 10−6, which reintroduces extinct strategies and restores stable coexistence. Horizontal dashed lines represent the stable frequencies of each strategy observed in large populations (N = 20002), as reported in ref. 32.

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