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The myth of the unique decomposability: specializing the Herfindahl and entropy measures?

โœ Scribed by William Acar; Kizhekepat Sankaran


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
57 KB
Volume
20
Category
Article
ISSN
0143-2095

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โœฆ Synopsis


This research note investigates the trend towards specializing the Herfindahl index H for measuring industry concentration and the entropy measure E for expressing firm diversity. Examining the "decomposability" of E and H, we show that the professed overriding advantage of the entropy measure with respect to decomposability is not its exclusive preserve; the paper contains a proof that this property is also shared by the Herfindahl index. It is also shown that, due to its more stable range, the H index is more versatile with respect to inversion than the E measure. Strategy researchers are thereby cautioned that the current trend toward an increased use of entropy is risky and should be reassessed.


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Fuzzy Measures and the Entropy of Fuzzy
โœ D. Dumitrescu ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 390 KB

Using an additive fuzzy measure a notion of the entropy of a finite fuzzy partition has been defined [D. Dumitrescu, On fuzzy partitions, in "Itinerant Seminar on Functional Equations, Approximation and Convexity, Cluj-Napoca, 1983;" pp. 57-60; D. Dumitrescu and M. Barbu, Fuzzy entropy and processes