Impossibility Results for Infinite-Electorate Abstract Aggregation Rules

Journal of Philosophical Logic 41 (1):273-286 (2012)
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.
Keywords Arrow-type preference aggregation  Judgment aggregation  Model theory  First-order predicate logic  Filter  Ultrafilter  Reduced product  Ultraproduct  Existential quantifier
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