Aggregating sets of judgments: Two impossibility results compared

Synthese 140 (1-2):207 - 235 (2004)
Download Edit this record How to cite View on PhilPapers
Abstract
The ``doctrinal paradox'' or ``discursive dilemma'' shows that propositionwise majority voting over the judgments held by multiple individuals on some interconnected propositions can lead to inconsistent collective judgments on these propositions. List and Pettit (2002) have proved that this paradox illustrates a more general impossibility theorem showing that there exists no aggregation procedure that generally produces consistent collective judgments and satisfies certain minimal conditions. Although the paradox and the theorem concern the aggregation of judgments rather than preferences, they invite comparison with two established results on the aggregation of preferences: the Condorcet paradox and Arrow's impossibility theorem. We may ask whether the new impossibility theorem is a special case of Arrow's theorem, or whether there are interesting disanalogies between the two results. In this paper, we compare the two theorems, and show that they are not straightforward corollaries of each other. We further suggest that, while the framework of preference aggregation can be mapped into the framework of judgment aggregation, there exists no obvious reverse mapping. Finally, we address one particular minimal condition that is used in both theorems – an independence condition – and suggest that this condition points towards a unifying property underlying both impossibility results.
PhilPapers/Archive ID
LISASO
Revision history
Archival date: 2016-09-02
View upload history
References found in this work BETA

View all 8 references / Add more references

Citations of this work BETA
Arrow's Theorem in Judgment Aggregation.Dietrich, Franz & List, Christian
Logical Constraints on Judgement Aggregation.Pauly, Marc & van Hees, Martin

View all 61 citations / Add more citations

Added to PP index
2009-01-28

Total views
502 ( #5,956 of 42,917 )

Recent downloads (6 months)
263 ( #1,382 of 42,917 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.