An indifference result for social choice rules in large societies

IF 6 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE
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引用次数: 0

Abstract

Social choice rules can be defined or derived by minimizing distance-based objective functions. One problem with this approach is that any social choice rule can be derived by selecting an appropriate distance function. Another problem comes from the computational difficulty of determining the solution of some social choice rules. We provide a general positive indifference result when looking at expected average distances by showing that on ‘average’ each social choice rule performs equally well with respect to a very large class of distance functions if the number of voters is large. Our result applies also to the frequently employed Kendall τ, Spearman rank correlation and Spearman footrule ‘distance functions’.
大社会中社会选择规则的冷漠结果
社会选择规则可以通过最小化基于距离的目标函数来定义或推导。这种方法的一个问题是,任何社会选择规则都可以通过选择一个适当的距离函数推导出来。另一个问题来自于确定某些社会选择规则解的计算难度。在研究预期平均距离时,我们提供了一个一般的正冷漠结果,表明如果选民人数很多,"平均 "而言,每种社会选择规则在很大一类距离函数上都表现得同样好。我们的结果也适用于经常使用的肯德尔(Kendall)、斯皮尔曼等级相关性(Spearman rank correlation)和斯皮尔曼脚尺(Spearman footrule)"距离函数"。
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来源期刊
European Journal of Operational Research
European Journal of Operational Research 管理科学-运筹学与管理科学
CiteScore
11.90
自引率
9.40%
发文量
786
审稿时长
8.2 months
期刊介绍: The European Journal of Operational Research (EJOR) publishes high quality, original papers that contribute to the methodology of operational research (OR) and to the practice of decision making.
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