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    A strictly dominated strategy 'persisting' only when its ... — Carmelics
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    Challenges→Under replicator dynamics, strictly dominated strategies can persist in a population.

    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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    1 reason for
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    Reasons For

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    Reason for
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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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    Reasons Against

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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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    Key Terms

    Dynamic stability(systems behavior and evolution)
    The ability of a system to stay in balance even when conditions change or it gets pushed out of balance—like how a bicycle stays upright even when you wobble.
    ESS (Evolutionarily Stable Strategy)(evolutionary biology and game theory)
    A pattern of behavior in a population that, once established, can't be beaten by a different strategy—even if some individuals try a new approach.
    Maynard Smith(as the originator of ESS framework)
    A British biologist (1920-2004) who applied game theory to evolution and created the concept of Evolutionarily Stable Strategy to explain how animal behavior evolves.
    Stasis(describing unchanging conditions)
    A state of no change or movement; things staying exactly the same.
    dominated strategy(Game theory — pure vs. mixed strategy dominance)
    A strategy is dominated when another strategy (or mixture of strategies) yields equal or better expected outcomes in all cases

    Connections

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    Consequentialism1 linkedMoral Responsibility1 linked

    Related

    A dominated strategy persisting only through competitor absence exhibits fragili...Dominated strategies persisting via competitor absence may still resist invasion...ESS requires resistance to invasion by mutant strategies, not merely absence of ...In finite populations with drift, absence of dominating alternatives can itself ...
    +3 moreShow less
    Maynard Smith distinguished evolutionary stability from equilibrium precisely to...The claim assumes ESS framework clearly marks this distinction, but the framewor...

    Details

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    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit
    Under replicator dynamics, strictly dominated strategies can persist in a popula...