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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.Links
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Citations of this work
The Doctrinal Paradox, the Discursive Dilemma, and Logical Aggregation theory.Philippe Mongin - 2012 - Theory and Decision 73 (3):315-355.
Aggregating infinitely many probability measures.Frederik Herzberg - 2015 - Theory and Decision 78 (2):319-337.
First-Order Logic Formalisation of Impossibility Theorems in Preference Aggregation.Umberto Grandi & Ulle Endriss - 2013 - Journal of Philosophical Logic 42 (4):595-618.
Arrovian Aggregation of Generalised Expected-Utility Preferences: (Im)possibility Results by Means of Model Theory.Frederik Herzberg - 2018 - Studia Logica 106 (5):947-967.
References found in this work
Social Choice and Individual Values.Kenneth Joseph Arrow - 1951 - New York, NY, USA: Wiley: New York.
Arrow's theorem in judgment aggregation.Franz Dietrich & Christian List - 2007 - Social Choice and Welfare 29 (1):19-33.
Judgment aggregation: A survey.Christian List & Clemens Puppe - 2009 - In Christian List & Clemens Puppe (eds.), Handbook of Rational and Social Choice. Oxford University Press.
Models and Ultraproducts: An Introduction.J. L. Bell & A. B. Slomson - 1972 - Journal of Symbolic Logic 37 (4):763-764.
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