A model of social welfare improving transfers

• 成果类型: Article
• 署名作者: Magdalou, Brice
• 署名单位: Centre National de la Recherche Scientifique (CNRS); INRAE; Universite de Montpellier; Institut Agro
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2021.105318
• 发表日期: 2021
• 关键词: Hardy-Littlewood-Polya theorem; stochastic dominance; RISK; social welfare; INEQUALITY; Welfare-improving transfers

摘要

This paper provides a generalization of the Hardy-Littlewood-Polya (HLP) Theorem in the following discrete framework: a distribution counts the number of persons having each possible individual outcome - assumed to be finitely divisible - and social welfare improving transfers have the structure of a discrete cone. The generalization is abstract in the sense that individual outcomes can be unidimensional or multidimensional, each dimension can be cardinal or ordinal and no further specification is required for the transfers. It follows that most of the results in the literature, applied to discrete distributions and comparable to the HLP Theorem, are corollaries of our theorem. In addition, our model sheds new light on some surprising results in the literature on social deprivation and, in decision-making under risk, provides new arguments on the key role of the expected utility model. (c) 2021 Elsevier Inc. All rights reserved.