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    Inverse View

    It is not the case that A strictly dominated strategy 'persisting' only when its dominating alternative is absent from the population conflates dynamic stability with mere stasis, a distinction Maynard Smith's ESS framework explicitly marks.

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    Reasons For

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    Reason for
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    • 1.In finite populations with drift, absence of dominating alternatives can itself constitute a dynamic stability mechanism indistinguishable from ESS behavior empirically.
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    • 2.The claim assumes ESS framework clearly marks this distinction, but the framework applies to equilibrium states—both stasis and stability can manifest identically formally.
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    • 3.Dominated strategies persisting via competitor absence may still resist invasion of other mutants, satisfying ESS definition without requiring dynamic superiority per se.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.ESS requires resistance to invasion by mutant strategies, not merely absence of competitors—a dynamic stability criterion fundamentally different from stasis.
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    • 2.A dominated strategy persisting only through competitor absence exhibits fragility absent in true ESS, which remains stable despite perturbations and invasions.
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    • 3.Maynard Smith distinguished evolutionary stability from equilibrium precisely to capture robustness; conflating them obscures why some strategies are evolutionarily viable.
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