Social Choice and Welfare 4 (28):529-565 (2007)

Authors
Franz Dietrich
Centre National de la Recherche Scientifique
Abstract
The new field of judgment aggregation aims to merge many individual sets of judgments on logically interconnected propositions into a single collective set of judgments on these propositions. Judgment aggregation has commonly been studied using classical propositional logic, with a limited expressive power and a problematic representation of conditional statements ("if P then Q") as material conditionals. In this methodological paper, I present a simple unified model of judgment aggregation in general logics. I show how many realistic decision problems can be represented in it. This includes decision problems expressed in languages of classical propositional logic, predicate logic (e.g. preference aggregation problems), modal or conditional logics, and some multi-valued or fuzzy logics. I provide a list of simple tools for working with general logics, and I prove impossibility results that generalise earlier theorems.
Keywords judgment aggregation  general logics  impossibility theorem  syntactic versus semantic approach to judgment aggregation
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References found in this work BETA

Counterfactuals.David Lewis - 1974 - Tijdschrift Voor Filosofie 36 (3):602-605.
Counterfactuals.David Lewis - 1975 - Foundations of Language 13 (1):145-151.
Judgment Aggregation: (Im)Possibility Theorems.Franz Dietrich - 2006 - Journal of Economic Theory 1 (126):286-298.

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Citations of this work BETA

Probabilistic Opinion Pooling.Franz Dietrich & Christian List - 2016 - In A. Hajek & C. Hitchcock (eds.), Oxford Handbook of Philosophy and Probability. Oxford: Oxford University Press.
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 Christian List & Clemens Puppe (eds.), Handbook of Rational and Social Choice. Oxford University Press.

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