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    • Impossibility Results for Infinite-Electorate Abstract Aggregation Rules.

    Frederik Herzberg,Daniel Eckert

    Journal of Philosophical Logic（2011）

    Department of Mathematics

    Cited 11|Views1
    Abstract
    Following Lauwers and Van Liedekerke (1995), this paper explores in a model-theoretic framework the relation between Arrovian aggregation rules and ultraproducts, in order to investigate a source of impossibility results for the case of an infinite number of individuals and an aggregation rule based on a free ultrafilter of decisive coalitions.
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    Key words
    Arrow-type preference aggregation,Judgment aggregation,Model theory,First-order predicate logic,Filter,Ultrafilter,Reduced product,Ultraproduct,Existential quantifier
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