q-fixed majority efficiency of committee scoring rules

This paper introduces the q -fixed majority property for committee selection rules, which extends the traditional fixed majority principle to a flexible framework. We examine conditions under which the committee scoring rules satisfy the q -fixed majority property. Focusing on (weakly) separable rules, we find that the Bloc rule is the only which satisfies it for all q > 1 / 2 . In addition, the q -bottom majority property is introduced, highlighting conditions under which committees can be excluded based on voter consensus.

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Publication Details

Journal
Operations Research Letters
Published
2025-03-29
DOI
https://doi.org/10.1016/j.orl.2025.107282
Primary Topic
Game Theory and Voting Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

q-fixed majority efficiency of committee scoring rules

Éric Kamwa, Clinton Gubong Gassi
Operations Research Letters
Game Theory and Voting Systems
article

q-fixed majority efficiency of committee scoring rules

Éric Kamwa, Clinton Gubong Gassi
article en

Abstract

This paper introduces the q -fixed majority property for committee selection rules, which extends the traditional fixed majority principle to a flexible framework. We examine conditions under which the committee scoring rules satisfy the q -fixed majority property. Focusing on (weakly) separable rules, we find that the Bloc rule is the only which satisfies it for all q > 1 / 2 . In addition, the q -bottom majority property is introduced, highlighting conditions under which committees can be excluded based on voter consensus.

Operations Research LettersVol. 61
Centre National de la Recherche Scientifique (FR), Université de Yaoundé I (CM), Bureau d'Economie Théorique et Appliquée (FR), Université Marie et Louis Pasteur (FR), Université de Strasbourg (FR), Université de Lorraine (FR), Université de Franche-Comté (FR)
Université de Franche-Comté
Openalex Percentile: Top 100%
Game Theory and Voting Systems
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