Continuity of distance related to income comparisons

Hidetoshi Komiya

Research output: Contribution to journalArticle


The author proposed a distance on Rn in [1] which measures improvement of social welfare. Continuity of the distance with respect to the Euclidean metric of Rn is proved in this note, and conversely, the Euclidean metric is continuous with respect to our distance on some subset of Rn.

Original languageEnglish
Pages (from-to)1591-1595
Number of pages5
JournalTaiwanese Journal of Mathematics
Issue number6
Publication statusPublished - 2008 Sep


  • Continuity
  • Distance
  • Lorenz dominance

ASJC Scopus subject areas

  • Mathematics(all)

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