A non-proposition-wise variant of majority voting for aggregating judgments
Entity
UAM. Departamento de Análisis Económico, Teoría Económica e Historia EconómicaPublisher
UAM. Departamento de Análisis Económico, Teoría Económica e Historia EconómicaDate
2013Serie/Num.
Economic Analysis Working Paper Series. 02/2013ISSN
1885-6888Subjects
Judgment aggregation correspondences; Proposition-wise majority voting; Holistic majority voting; EconomíaAbstract
Majority voting is commonly used in aggregating judgments. The literature to date on judgment
aggregation (JA) has focused primarily on proposition-wise majority voting (PMV). Given a set of issues
on which a group is trying to make collective judgments, PMV aggregates individual judgments issue by
issue, and satisfies a salient property of JA rules—independence. This paper introduces a variant of
majority voting called holistic majority voting (HMV). This new variant also meets the condition of
independence. However, instead of aggregating judgments issue by issue, it aggregates individual
judgments en bloc. A salient and straightforward feature of HMV is that it guarantees the logical
consistency of the propositions expressing collective judgments, provided that the individual points of
view are consistent. This feature contrasts with the known inability of PMV to guarantee the consistency
of the collective outcome. Analogously, while PMV may present a set of judgments that have been
rejected by everyone in the group as collectively accepted, the collective judgments returned by HMV
have been accepted by a majority of individuals in the group and, therefore, rejected by a minority of
them at most. In addition, HMV satisfies a large set of appealing properties, as PMV also does. However,
HMV may not return any complete proposition expressing the judgments of the group on all the issues at
stake, even in cases where PMV does. Moreover, demanding completeness from HMV leads to
impossibility results similar to the known impossibilities on PMV and on proposition-wise JA rules in
general
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Google Scholar:García-Bermejo Ochoa, Juan Carlos
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