Judgment aggregation by quota rules: Majority voting generalized

Journal of Theoretical Politics 19 (4):391-424 (2007)

Authors
Christian List
London School of Economics
Franz Dietrich
Centre National de la Recherche Scientifique
Abstract
The widely discussed "discursive dilemma" shows that majority voting in a group of individuals on logically connected propositions may produce irrational collective judgments. We generalize majority voting by considering quota rules, which accept each proposition if and only if the number of individuals accepting it exceeds a given threshold, where different thresholds may be used for different propositions. After characterizing quota rules, we prove necessary and sufficient conditions on the required thresholds for various collective rationality requirements. We also consider sequential quota rules, which ensure collective rationality by adjudicating propositions sequentially and letting earlier judgments constrain later ones. Sequential rules may be path-dependent and strategically manipulable. We characterize path-independence and prove its essential equivalence to strategy-proofness. Our results shed light on the rationality of simple-, super-, and sub-majoritarian decision-making.
Keywords Judgment aggregation  Majority rule  Supermajority rule  Quota rules  Path-dependence  Strategy-proofness
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References found in this work BETA

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.
Logical Constraints on Judgement Aggregation.Marc Pauly & Martin van Hees - 2006 - Journal of Philosophical Logic 35 (6):569 - 585.

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Citations of this work BETA

Judgment Aggregation: A Survey.Christian List & Clemens Puppe - 2009 - In Christian List & Clemens Puppe (eds.), Handbook of Rational and Social Choice. Oxford University Press.
Strategy-Proof Judgment Aggregation.Franz Dietrich & Christian List - 2007 - Economics and Philosophy 23 (3):269-300.

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