{"title":"q-fixed majority efficiency of committee scoring rules","authors":"Clinton Gubong Gassi , Eric Kamwa","doi":"10.1016/j.orl.2025.107282","DOIUrl":null,"url":null,"abstract":"<div><div>This paper introduces the <em>q</em>-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 <em>q</em>-fixed majority property. Focusing on (weakly) separable rules, we find that the Bloc rule is the only which satisfies it for all <span><math><mi>q</mi><mo>></mo><mn>1</mn><mo>/</mo><mn>2</mn></math></span>. In addition, the <em>q</em>-bottom majority property is introduced, highlighting conditions under which committees can be excluded based on voter consensus.</div></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"61 ","pages":"Article 107282"},"PeriodicalIF":0.8000,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research Letters","FirstCategoryId":"91","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167637725000434","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
引用次数: 0
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 . In addition, the q-bottom majority property is introduced, highlighting conditions under which committees can be excluded based on voter consensus.
期刊介绍:
Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.