Skip to content
Carmelics
TopicsThinkersChangesContributorsLoading account…

    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

    Navigate

    • Topics
    • Search
    • Recent Changes
    • Contribute
    • How It Works
    • Glossary
    • Thinkers
    • Contributors
    • About
    • Statistics
    • Terms
    • Privacy

    Database

    Statements
    —
    Perspectives
    —
    Topics
    —

    Press ? for keyboard shortcuts

    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Under replicator dynamics, strictly dominated strategies ... — Carmelics
    Home/Moral Responsibility
    HistoryEditSee Inverse

    Under replicator dynamics, strictly dominated strategies can persist in a population.

    Consequentialism
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Sign in or register to share your perspective on this statement.

    Next step

    Based on where you are in your exploration

    Strongest counterpoint
    Explore the most compelling reason on the other side.

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.In the Prisoner's Dilemma, if the population begins in a state where everyone cooperates, replicator dynamics will remain in that state indefinitely.
      ?

      Think about whether this reason is strong or weak

    • 2.The strategy of Defect cannot be introduced into a population of all cooperators under replicator dynamics.
      ?

      Think about whether this reason is strong or weak

    • 3.Defect is a strictly dominant strategy in the Prisoner's Dilemma, making Cooperate a strictly dominated strategy.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Replicator dynamics requires fitness differentials to drive selection; if all agents play the same strategy, there is no differential to act upon.
      ?

      Think about whether this reason is strong or weak

    • 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.
      ?

      Think about whether this reason is strong or weak

    • 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.
      ?

      Think about whether this reason is strong or weak

    Reason against 2 of 2
    ?
    • 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.
      ?

      Think about whether this reason is strong or weak

    • 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.
      ?

      Think about whether this reason is strong or weak

    • 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.
      ?

      Think about whether this reason is strong or weak

    Topics

    Moral ResponsibilityConsequentialism

    Connections

    1 topic

    Social Contract1 linked

    Related

    A strictly dominated strategy 'persisting' only when its dominating alternative ...Because Cooperate persists in this equilibrium, a strictly dominated strategy is...Brian Skyrms and Elliott Sober argue that population-level claims about replicat...Defect is a strictly dominant strategy in the Prisoner's Dilemma, making Coopera...
    +6 moreShow less
    If persistence of Cooperate depends entirely on Defect never being introduced, t...In the Prisoner's Dilemma, if the population begins in a state where everyone co...Replicator dynamics requires fitness differentials to drive selection; if all ag...The all-cooperators equilibrium in the Prisoner's Dilemma is not an instance of ...The philosophically substantive claim about replicator dynamics concerns traject...The strategy of Defect cannot be introduced into a population of all cooperators...

    Similar

    In the Prisoner's Dilemma, if the population begins in a state where e...84%The strategy of Defect cannot be introduced into a population of all c...83%Because Cooperate persists in this equilibrium, a strictly dominated s...77%In a population where agents imitate the most successful strategy, the...75%

    Source

    AI-extracted1/3 agreementValid
    SEP: game-evolutionary
    View source passageHide passage
    This can be seen in a particularly stark form in figure 6, above. In the case of the Prisoner’s Dilemma, if the population begins in the state where everyone cooperates, the replicator dynamics will remain in that state forever, because the strategy of Defect cannot be introduced. This shows that, under the replicator dynamics, there can be instances where even strictly dominated strategies will persist.
    Extraction notes

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

    Details

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