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2008 CONTINUITY OF DISTANCE RELATED TO INCOME COMPARISONS
Hidetoshi Komiya
Taiwanese J. Math. 12(6): 1591-1595 (2008). DOI: 10.11650/twjm/1500405042

Abstract

The author proposed a distance on $R^n$ in \cite{hK08} which measures improvement of social welfare. Continuity of the distance with respect to the Euclidean metric of $R^n$ is proved in this note, and conversely, the Euclidean metric is continuous with respect to our distance on some subset of $R^n$.

Citation

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Hidetoshi Komiya. "CONTINUITY OF DISTANCE RELATED TO INCOME COMPARISONS." Taiwanese J. Math. 12 (6) 1591 - 1595, 2008. https://doi.org/10.11650/twjm/1500405042

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1187.91158
MathSciNet: MR2444874
Digital Object Identifier: 10.11650/twjm/1500405042

Subjects:
Primary: 15A51 , 60E15 , 91A05 , 91C99

Keywords: continuity , distance , Lorenz dominance

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 6 • 2008
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