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    LoyalLoyalJusticeJustice
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    Arrow's impossibility theorem can also be avoided by rela... — Carmelics
    Home/Consequentialism
    HistoryEditSee Inverse

    Arrow's impossibility theorem can also be avoided by relaxing Independence of Irrelevant Utilities alone, without introducing cardinal utility comparisons.

    ConsequentialismDemocracy & Governance
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
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    • 1.Arrow's impossibility requires both Independence of Irrelevant Utilities and ordinal non-comparability
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    • 2.Relaxing Independence of Irrelevant Utilities independently is a logically distinct escape route from the impossibility
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    • 3.Hansson (1973) and Pazner (1979) proposed weakenings of Arrow's axiom that make rankings depend on indifference curves at the relevant alternatives
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Weakening IIU to depend on indifference curves at relevant alternatives still smuggles in interpersonal comparability via the geometry of indifference maps.
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    • 2.Pazner's own framework requires that indifference curves be comparable across persons to generate a social ordering, violating strict ordinalism.
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    • 3.Thus relaxing IIU alone does not escape Arrow's theorem without implicitly introducing the cardinal structure the claim purports to avoid.
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    Reason against 2 of 2
    ?
    • 1.Sen (1977) demonstrated that escaping Arrow's theorem requires either cardinal utility information or expanded interpersonal comparability, not merely axiom weakening.
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    • 2.Relaxing IIU without cardinal utility leaves the social welfare function vulnerable to Sen's own impossibility results on minimal liberty and Pareto consistency.
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    Topics

    ConsequentialismDemocracy & Governance

    Related

    Arrow's impossibility requires both Independence of Irrelevant Utilities and ord...Hansson (1973) and Pazner (1979) proposed weakenings of Arrow's axiom that make ...Pazner's own framework requires that indifference curves be comparable across pe...Relaxing IIU without cardinal utility leaves the social welfare function vulnera...
    +4 moreShow less
    Relaxing Independence of Irrelevant Utilities independently is a logically disti...Sen (1977) demonstrated that escaping Arrow's theorem requires either cardinal u...Thus relaxing IIU alone does not escape Arrow's theorem without implicitly intro...Weakening IIU to depend on indifference curves at relevant alternatives still sm...

    Similar

    Arrow's impossibility theorem can be avoided by relaxing the ordinal n...86%Arrow's impossibility theorem reveals limitations of frameworks restri...80%Arrow's impossibility is obtained by combining Independence of Irrelev...80%Arrow's impossibility requires both Independence of Irrelevant Utiliti...80%

    Source

    AI-extracted1/3 agreementValid
    SEP: economic-justice
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    The former issue is still debated. Extending the informational basis by introducing numerical indices of well-being (or equivalent extended orderings) is not the only conceivable extension. Arrow’s impossibility is obtained with the condition of Independence of Irrelevant Alternatives, which may be logically analyzed, when the theorem is reformulated with utility functions as primitive data, as the combination of Independence of Irrelevant Utilities (defined above) with a condition of ordinal no
    Extraction notes

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

    Details

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