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

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 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 for 2 of 2
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    • 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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    Reasons Against

    1 perspective
    Reason against
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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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