Reliable Methods of Judgment Aggregation

Journal for Logic and Computation 20:603--617 (2007)
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Abstract

The aggregation of consistent individual judgments on logically interconnected propositions into a collective judgment on the same propositions has recently drawn much attention. Seemingly reasonable aggregation procedures, such as propositionwise majority voting, cannot ensure an equally consistent collective conclusion. The literature on judgment aggregation refers to such a problem as the \textit{discursive dilemma}. In this paper we assume that the decision which the group is trying to reach is factually right or wrong. Hence, we address the question of how good the various approaches are at selecting the right conclusion. We focus on two approaches: distance-based procedures and a Bayesian analysis. They correspond to group-internal and group-external decision-making, respectively. We compare those methods in a probabilistic model, demonstrate the robustness of our results over various generalizations and discuss their applicability in different situations. The findings vindicate (i) that in judgment aggregation problems, reasons should carry higher weight than conclusions and (ii) that considering members of an advisory board to be highly competent is a better strategy than to underestimate their advice.".

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Author Profiles

Jan Sprenger
University of Turin
Gabriella Pigozzi
Université Paris Dauphine
Stephan Hartmann
Ludwig Maximilians Universität, München

References found in this work

Deliberative Democracy and the Discursive Dilemma.Philip Pettit - 2001 - Philosophical Issues 11 (1):268-299.
Arrow's theorem in judgment aggregation.Franz Dietrich & Christian List - 2007 - Social Choice and Welfare 29 (1):19-33.
Judgment aggregation: (Im)possibility theorems.Franz Dietrich - 2006 - Journal of Economic Theory 1 (126):286-298.

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