 Majority voting on restricted domainsFranz Dietrich and Christian List LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library 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) Published in Journal of Economic Theory, March, 2010, 145(2), pp. 512-543. ISSN: 1095-7235 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ehl:lserod:27902 Access Statistics for this paper More papers in LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library LSE Library Portugal Street London, WC2A 2HD, U.K.. Contact information at EDIRC. |
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