Majority voting on restricted domains

Journal of Economic Theory 145 (2):512-543 (2010)
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Abstract

In judgment aggregation, unlike preference aggregation, not much is known about domain restrictions that guarantee consistent majority outcomes. We introduce several conditions on individual judgments sufficient for consistent majority judgments. Some are based on global orders of propositions or individuals, others on local orders, still others not on orders at all. Some generalize classic social-choice-theoretic domain conditions, others have no counterpart. Our most general condition generalizes Sen's triplewise value-restriction, itself the most general classic condition. We also prove a new characterization theorem: for a large class of domains, if there exists any aggregation function satisfying some democratic conditions, then majority voting is the unique such function. Taken together, our results support the robustness of majority rule.

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original Dietrich, Franz; List, Christian (2007) "Majority voting on restricted domains". Journal of Economic Theory 145(2):512-543

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Author Profiles

Franz Dietrich
Centre National de la Recherche Scientifique
Christian List
Ludwig Maximilians Universität, München

Citations of this work

Social Choice Theory.Christian List - 2013 - Stanford Encyclopedia of Philosophy.
Aggregating Causal Judgments.Richard Bradley, Franz Dietrich & Christian List - 2014 - Philosophy of Science 81 (4):491-515.
Group Agents: Persons, Mobs, or Zombies?Cathal O’Madagain - 2012 - International Journal of Philosophical Studies 20 (2):271-287.

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