The measurement of rank mobility

• 成果类型: Article
• 署名作者: D'Agostino, Marcello; Dardanoni, Valentino
• 署名单位: University of Palermo; University of Ferrara
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2008.11.003
• 发表日期: 2009
• 页码: 1783-1803
• 关键词: Rank mobility; Mobility measurement; CONCORDANCE; Partial matrices; Spearman's index

摘要

In this paper we investigate the problem of measuring social mobility when the social status of individuals is given by their rank. In order to sensibly represent the rank mobility of subgroups within a given society, we address the problem in terms of partial permutation matrices which include standard (global) matrices as a special case. We first provide a characterization of a partial ordering on partial matrices which, in the standard case of global matrices, coincides with the well-known concordance ordering. We then provide a characterization of an index of rank mobility based on partial matrices and show that, in the standard case of comparing global matrices, it is equivalent to Spearman's p index. (C) 2008 Elsevier Inc. All rights reserved.