David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Synthese 158 (2):233 - 250 (2007)
We investigate under what conditions a given set of collective judgments can arise from a specific voting procedure. In order to answer this question, we introduce a language similar to modal logic for reasoning about judgment aggregation procedures. In this language, the formula expresses that is collectively accepted, or that is a group judgment based on voting. Different judgment aggregation procedures may be underlying the group decision making. Here we investigate majority voting, where holds if a majority of individuals accepts, consensus voting, where holds if all individuals accept, and dictatorship. We provide complete axiomatizations for judgment sets arising from all three aggregation procedures.
|Keywords||Judgment aggregation Modal logic|
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References found in this work BETA
Brian F. Chellas (1980). Modal Logic: An Introduction. Cambridge University Press.
Franz Dietrich & Christian List (2007). Arrow's Theorem in Judgment Aggregation. Social Choice and Welfare 29 (1):19-33.
Christian List & Philip Pettit (2002). Aggregating Sets of Judgments: An Impossibility Result. Economics and Philosophy 18 (1):89-110.
Marc Pauly & Martin van Hees (2006). Logical Constraints on Judgement Aggregation. Journal of Philosophical Logic 35 (6):569 - 585.
Citations of this work BETA
Philippe Mongin (2012). The Doctrinal Paradox, the Discursive Dilemma, and Logical Aggregation Theory. Theory and Decision 73 (3):315-355.
Marc Pauly (2008). On the Role of Language in Social Choice Theory. Synthese 163 (2):227 - 243.
Daniele Porello (2010). Ranking Judgments in Arrow's Setting. Synthese 173 (2):199 - 210.
Raul Hakli & Sara Negri (2011). Reasoning About Collectively Accepted Group Beliefs. Journal of Philosophical Logic 40 (4):531-555.
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Stephan Hartmann, Gabriella Pigozzi & Jan Sprenger (2010). Reliable Methods of Judgment Aggregation. Journal for Logic and Computation 20:603--617.
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