与收入分布部分排序有关的不平等度量的一致性

IF 0.5 4区经济学 Q4 ECONOMICS

Mathematical Social Sciences Pub Date : 2024-02-08 DOI:10.1016/j.mathsocsci.2024.02.002

Terence Chan

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引用次数: 0

摘要

本文研究了 Chan（2022 年）提出的一类新的基于比率的不平等指数与基础收入分布的某些部分排序的一致性。虽然关于随机支配的一致性已被广泛研究，但这一类新指数的适当部分排序是量子比率支配。本文还为其他作者提出的一些其他类别的不平等指数建立了量化比率支配的一致性。最后，本文还探讨了一致性概念与转移原理之间的一些联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Coherence of inequality measures with respect to partial orderings of income distributions

This paper investigates the coherence of a new class of ratio-based inequality indices introduced in Chan (2022) with respect to certain partial orderings of the underlying income distributions. While coherence with respect to stochastic dominance has been extensively studied, the appropriate partial ordering for this new class of indices is quantile ratio dominance. This paper also establishes coherence with respect to quantile ratio dominance for some other classes of inequality indices which have been introduced by other authors. Finally, some connections between the notion of coherence and transfer principles are explored.

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来源期刊

Mathematical Social Sciences 数学-数学跨学科应用

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

59 days

期刊介绍： The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences. Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models. Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.