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.
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| Keywords | Arrow-type preference aggregation Judgment aggregation Model theory First-order predicate logic Filter Ultrafilter Reduced product Ultraproduct Existential quantifier |
| Categories | (categorize this paper) |
| DOI | 10.1007/s10992-011-9203-5 |
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References found in this work BETA
Arrow's Theorem in Judgment Aggregation.Franz Dietrich & Christian List - 2007 - Social Choice and Welfare 29 (1):19-33.
Handbook of Rational and Social Choice.Paul Anand, Prasanta Pattanaik & Clemens Puppe (eds.) - 2009 - Oxford University Press.
The Premiss-Based Approach to Judgment Aggregation.Franz Dietrich & Philippe Mongin - 2010 - Journal of Economic Theory 145 (2):562-582.
Models and Ultraproducts: An Introduction.J. L. Bell & A. B. Slomson - 1972 - Journal of Symbolic Logic 37 (4):763-764.
Citations of this work BETA
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.
Similar books and articlesThe Theory of Judgment Aggregation: An Introductory Review.Christian List - 2012 - Synthese 187 (1):179-207.
The Possibility of Judgment Aggregation on Agendas with Subjunctive Implications.Franz Dietrich - unknown
Aggregating Sets of Judgments: Two Impossibility Results Compared.Christian List & Philip Pettit - 2004 - Synthese 140 (1-2):207 - 235.
Judgment Aggregation: A Short Introduction.Christian List - 2012 - In Uskali Mäki (ed.), Handbook of the Philosophy of Economics. Elsevier.
Arrow's Theorem in Judgment Aggregation.Franz Dietrich & Christian List - 2007 - Social Choice and Welfare 29 (1):19-33.
The Impossibility of Unbiased Judgment Aggregation.Franz Dietrich & Christian List - 2010 - Theory and Decision 68 (3):281-299.
The Aggregation of Propositional Attitudes: Towards a General Theory.Franz Dietrich & Christian List - 2010 - Oxford Studies in Epistemology 3.
Factoring Out the Impossibility of Logical Aggregation.Philippe Mongin - 2008 - Journal of Economic Theory 141:p. 100-113.
The Premiss-Based Approach to Judgment Aggregation.Franz Dietrich & Philippe Mongin - 2010 - Journal of Economic Theory 145 (2):562-582.
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2012-01-21
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2012-01-21
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29 ( #201,107 of 2,231,615 )
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3 ( #190,443 of 2,231,615 )
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