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Inverse View
It is not the case that If the proportion of Fairmen falls below 33%, Fairmen tend toward extinction.
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Reasons For
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Reason for 1 of 2
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1.
Evolutionary game models assume population-level averaging, but real agents cluster spatially, enabling Fairmen to form local majorities below 33% global frequency.
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2.
Nowak and May (1992) demonstrated that spatial structure sustains cooperative strategies at frequencies that well-mixed models predict extinction, undermining the 33% threshold's generality.
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Reason for 2 of 2
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1.
The 33% threshold assumes fixed strategy distributions, but Skyrms (1996) shows that deliberational dynamics allow agents to update strategies faster than selection eliminates them.
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2.
If Fairmen can conditionally adjust behavior upon detecting Greedy opponents, the fitness calculus changes before population proportions reach the extinction threshold.
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Reasons Against
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Reason against
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1.
Below 33%, Fairmen do not encounter each other often enough to achieve compensating payoffs.
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2.
Losses to Greedies are not offset by gains from Fairman-Fairman encounters at low Fairman frequency.
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