Factoring out the impossibility of logical aggregation

• 成果类型: Article
• 署名作者: Mongin, Philippe
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Hautes Etudes Commerciales (HEC) Paris
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2007.11.001
• 发表日期: 2008
• 页码: 100-113
• 关键词: discursive dilemma; Doctrinal paradox; Impossibility theorems; Independence of irrelevant alternatives; Judgment aggregation; Logical aggregation; Pareto principle

摘要

According to a theorem recently proved in the theory of logical aggregation, any nonconstant social judgment function that satisfies independence of irrelevant alternatives (IIA) is dictatorial. We show that the strong and not very plausible IIA condition can be replaced with a minimal independence assumption plus a Pareto-like condition. This new version of the impossibility theorem likens it to Arrow's and arguably enhances its paradoxical value. (C) 2007 Elsevier Inc. All rights reserved.