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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.Other Versions
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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.
First-Order Logic Formalisation of Impossibility Theorems in Preference Aggregation.Umberto Grandi & Ulle Endriss - 2013 - Journal of Philosophical Logic 42 (4):595-618.
Aggregating infinitely many probability measures.Frederik Herzberg - 2015 - Theory and Decision 78 (2):319-337.
Belief Merging and Judgment Aggregation.Gabriella Pigozzi - 2015 - Stanford Encyclopedia of Philosophy.
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 Paul Anand, Prasanta Pattanaik & Clemens Puppe, Handbook of Rational and Social Choice. Oxford, GB: Oxford University Press.
The premiss-based approach to judgment aggregation.Franz Dietrich & Philippe Mongin - 2010 - Journal of Economic Theory 145 (2):562-582.
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