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It is not the case that Nowak & May's spatial models show defector persistence depends on lattice geometry, not a universal structural law.
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Reasons For
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1.
Lattice geometry is itself a structural law: the claim merely relocates universality from 'cooperation' to 'geometry-dependence' without explaining why.
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2.
Nowak & May's models used simplified payoff matrices; real evolutionary dynamics involve density-dependent effects that might restore geometry-independent patterns.
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3.
Observed geometry effects could reflect implementation artifacts rather than deep principles—continuous space or different update rules might show different dependencies.
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Reasons Against
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Reason against
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1.
Nowak & May's computational models systematically varied lattice topologies and found defector clustering outcomes changed predictably with geometry.
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2.
Biological populations occupy actual spatial structures (2D forests, 3D coral reefs) whose geometry demonstrably affects cooperation dynamics empirically.
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3.
If defector persistence followed universal laws independent of structure, predictions would match all geometries equally—but they demonstrably don't.
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