Majority voting on restricted domains

Franz Dietrich and Christian List

Journal of Economic Theory, 2010, vol. 145, issue 2, 512-543

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.

Keywords: Judgment; aggregation; Domain; restriction; Majority; voting; Consistency; Value-restriction; Analogues; of; single-peakedness; May's; theorem (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (40)

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Working Paper: Majority voting on restricted domains (2010)
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