A Non-Proposition-Wise Variant of Majority Voting for Aggregating Judgments

Juan Carlos García-Bermejo ()
Additional contact information
Juan Carlos García-Bermejo: Departamento de Análisis Económico (Teoría e Historia Económica). Universidad Autónoma de Madrid.

No 2013/02, Working Papers in Economic Theory from Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History)

Abstract: 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.

Keywords: judgment aggregation; judgment aggregation correspondences; proposition-wise majority voting; holistic majority voting (search for similar items in EconPapers)
JEL-codes: D70 D71 (search for similar items in EconPapers)
Pages: 23 pages
Date: 2013-01
New Economics Papers: this item is included in nep-cdm, nep-mic and nep-pol
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.uam.es/departamentos/economicas/analecon/especifica/mimeo/wp20132.pdf
Our link check indicates that this URL is bad, the error code is: 404 Not Found (http://www.uam.es/departamentos/economicas/analecon/especifica/mimeo/wp20132.pdf [307 Moved Temporarily]--> https://www.uam.es/departamentos/economicas/analecon/especifica/mimeo/wp20132.pdf [301 Moved Permanently]--> https://www.uam.es/Economicas/AnalisisEconomicoTeoriaHistoria/1234888140248.htm/especifica/mimeo/wp20132.pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:uam:wpaper:201302

Access Statistics for this paper

More papers in Working Papers in Economic Theory from Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History) Contact information at EDIRC.
Bibliographic data for series maintained by Andrés Maroto-Sánchez ( this e-mail address is bad, please contact ).