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How Wealth Accumulation Can Promote Cooperation

Figure 10

Asymptotic proportion, domination, and survival of cooperators with wealth accumulation under the Moore neighborhood.

The contour plots shows three different statistics as a function of the payoff parameters (horizontal axis) and (vertical axis), when the players' interaction network is of degree (‘Moore’ neighborhood). Panel A shows the final proportion of cooperators in the world (compare with Figure 4). Panel B shows the percentage of runs that end with more than 99% cooperators (compare with Figure 6). Panel C shows the percentage of runs in which at least 1% of cooperators survive after 1000 steps (compare with Figure 5). We note in particular that the results we obtained with the von-Neumann neighborhood hold under the Moore neighborhood, and even that the performance of cooperators is often improved as a result.

Figure 10