Impossibility Results for Infinite-Electorate Abstract Aggregation Rules

Impossibility Results for Infinite-Electorate Abstract Aggregation Rules

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...

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Veröffentlicht in:Journal of philosophical logic 2012-02, Vol.41 (1), p.273-286
Hauptverfasser: Herzberg, Frederik, Eckert, Daniel
Format: Artikel
Sprache:eng
Schlagworte:
Aggregation
Belief & doubt
Dictatorship
Economic theory
Education
Free ultrafilters
Judgment
Logic
Logical impossibility
Logical theorems
Model theory
Philosophy
Search services
Ultraproducts
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Beschreibung
Zusammenfassung: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.
ISSN:0022-3611
1573-0433
DOI:10.1007/s10992-011-9203-5