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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that Under replicator dynamics, strictly dominated strategies can persist in a population.

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Replicator dynamics requires fitness differentials to drive selection; if all agents play the same strategy, there is no differential to act upon.
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    • 2.The all-cooperators equilibrium in the Prisoner's Dilemma is not an instance of persistence under selection pressure, but rather an absence of selection pressure entirely.
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    • 3.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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    Reason for 2 of 2
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    • 1.Brian Skyrms and Elliott Sober argue that population-level claims about replicator dynamics must specify initial conditions as part of the explanatory content, not treat them as incidental.
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    • 2.If persistence of Cooperate depends entirely on Defect never being introduced, the claim reduces to: a strategy persists when it faces no competition, which is trivially true and explanatorily vacuous.
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    • 3.The philosophically substantive claim about replicator dynamics concerns trajectories from mixed initial conditions, where Weibull's formal results confirm strictly dominated strategies are eliminated with probability one.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.In the Prisoner's Dilemma, if the population begins in a state where everyone cooperates, replicator dynamics will remain in that state indefinitely.
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    • 2.The strategy of Defect cannot be introduced into a population of all cooperators under replicator dynamics.
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    • 3.Defect is a strictly dominant strategy in the Prisoner's Dilemma, making Cooperate a strictly dominated strategy.
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