Axiomatic characterization of the Gini coefficient and Lorenz curve orderings

• 成果类型: Article
• 署名作者: Aaberge, R
• 署名单位: Statistics Norway
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1006/jeth.2000.2749
• 发表日期: 2001
• 页码: 115-132
• 关键词: Lorenz curve orderings; axiomatic characterization; measures of inequality; The Gini coefficient

摘要

This paper is concerned with distributions of income and the ordering of related Lorenz curves. By introducing appropriate preference relations on the set of Lorenz curves, two alternative axiomatic characterizations of Lorenz curve orderings are proposed. Moreover, the Gini coefficient is recognized to be rationalizable under both axiom sets; as a result, a complete axiomatic characterization of the Gini coefficient is obtained. Furthermore, axiomatic characterizations of the extended Gini family and an alternative generalized Gini family of inequality measures are proposed. (C) 2001 Academic Press.