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PhilGoetz comments on Exploitation and cooperation in ecology, government, business, and AI - Less Wrong
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Modular and nested are not opposites. "Nested", they say, means a sharing of relationships; they're not any more specific than that. Don't know what you mean about being rotated by 180 degrees. Consider the lower-left picture: It shows modularity in mutualistic (cooperative) relationships. All the points are below the line y=x because the initial measure of modularity was larger than the equilibrium measure of modularity.