Axiomatizing collective judgment sets in a minimal logical language

Synthese 158 (2):233-250 (2007)
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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



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Marc Pauly
University of Groningen

Citations of this work

Neighborhood Semantics for Modal Logic.Eric Pacuit - 2017 - Cham, Switzerland: Springer.
Reasoning About Collectively Accepted Group Beliefs.Raul Hakli & Sara Negri - 2011 - Journal of Philosophical Logic 40 (4):531-555.
Judgement aggregation in non-classical logics.Daniele Porello - 2017 - Journal of Applied Non-Classical Logics 27 (1-2):106-139.

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References found in this work

Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
Arrow's theorem in judgment aggregation.Franz Dietrich & Christian List - 2007 - Social Choice and Welfare 29 (1):19-33.
Logical Constraints on Judgement Aggregation.Marc Pauly & Martin van Hees - 2006 - Journal of Philosophical Logic 35 (6):569 - 585.

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