David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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|
No categories specified
(categorize this paper)
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
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.
Similar books and articles
Stephan Hartmann & Gabriella Pigozzi (2006). Merging Judgments and the Problem of Truth-Tracking. In Jerome Lang & Ulle Endriss (eds.), Computational Social Choice 2006. University of Amsterdam.
Stephan Hartmann & Jan Sprenger (2012). Judgment Aggregation and the Problem of Tracking the Truth. Synthese 187 (1):209-221.
Stephan Hartmann, Gabriella Pigozzi & Jan Sprenger (2010). Reliable Methods of Judgment Aggregation. Journal for Logic and Computation 20:603--617.
Added to index2009-01-28
Total downloads18 ( #103,475 of 1,410,305 )
Recent downloads (6 months)1 ( #155,456 of 1,410,305 )
How can I increase my downloads?