Figure 5

The effects of adding cooperators to the initial condition on a cycle with 10 vertices.

In panels (a–i), cooperators are added sequentially, with each new cooperator neighboring a cooperator in the previous configuration. These panels clearly demonstrate that a configuration and its conjugate have the same critical ratio and structure coefficient. Panels (j–l) show that when cooperators are added in a different order, the critical ratios can increase rather than decrease. The configurations of (j–l) each have isolated cooperators.