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    There is a threshold effect at 33% such that Fairmen's po... — Carmelics
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    Home/Moral Responsibility
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    There is a threshold effect at 33% such that Fairmen's population proportion determines whether Fairmen tend toward extinction or fixation.

    ConsequentialismMoral Responsibility
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
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    • 1.When each strategy is used by 33% of the population, all strategies have an expected average payoff of 1/3.
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    • 2.If the proportion of Fairmen drops below 33%, Fairmen do not meet each other often enough to compensate for losses against Greedies.
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    • 3.If the proportion of Fairmen rises above 33%, Fairmen's extra gains from meeting each other compensate for their losses when they meet Greedies.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.The 33% threshold assumes a well-mixed, infinite population, but real evolutionary dynamics involve spatial structure and assortative interaction that alter fixation thresholds.
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    • 2.Brian Skyrms's lattice simulations in 'Evolution of the Social Contract' show Fairmen can achieve fixation from far below 33% when agents interact with neighbors rather than random strangers.
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    • 3.Therefore, the threshold is not a fixed property of the strategies but an artifact of the mean-field assumption embedded in the replicator dynamics model.
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    Reason against 2 of 2
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    • 1.The replicator dynamics framework treats strategy frequencies as continuous deterministic variables, but finite populations exhibit stochastic drift that can override selection pressure near threshold boundaries.
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    • 2.Nowak and May's work on stochastic evolutionary game theory demonstrates that drift can carry populations across deterministic thresholds, making 'extinction or fixation' a probabilistic rather than categorical outcome.
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    • 3.The claim's sharp threshold language thus misrepresents a gradient of fixation probabilities as a binary bifurcation point.
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    Topics

    Moral ResponsibilityConsequentialism

    Related

    Brian Skyrms's lattice simulations in 'Evolution of the Social Contract' show Fa...If the proportion of Fairmen drops below 33%, Fairmen do not meet each other oft...If the proportion of Fairmen rises above 33%, Fairmen's extra gains from meeting...Nowak and May's work on stochastic evolutionary game theory demonstrates that dr...
    +5 moreShow less
    The 33% threshold assumes a well-mixed, infinite population, but real evolutiona...The claim's sharp threshold language thus misrepresents a gradient of fixation p...The replicator dynamics framework treats strategy frequencies as continuous dete...Therefore, the threshold is not a fixed property of the strategies but an artifa...When each strategy is used by 33% of the population, all strategies have an expe...

    Similar

    If the proportion of Fairmen falls below 33%, Fairmen tend toward exti...82%Higher average payoffs for a strategy reduce the threshold frequency a...78%Defection is not fully eliminated even when cooperation spreads to nea...73%Introducing correlation among strategies (such as Fairmen preferring t...72%

    Source

    AI-extracted1/3 agreementValid
    SEP: game-theory
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    This depends on the proportions of strategies in the original population state. If the population begins with more than one Fairman, then there is some probability that Fairmen will encounter each other, and get the highest possible average payoff. Modests by themselves do not inhibit the spread of Fairmen; only Greedies do. But Greedies themselves depend on having Modests around in order to be viable. So the more Fairmen there are in the population relative to pairs of Greedies and Modests, the
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit