 On the mathematics behind the entropy diversification measure in strategic managementDavid Booth and Stephane Booth International Journal of Mathematics in Operational Research, 2009, vol. 1, issue 4, 532-540 Abstract: On the face of it, one might wonder why a logarithmic function, entropy, is often chosen as a measure of concentration and/or diversification in economic and strategic management research. After all, say Acar and Troutt (2008), would not a linear one be easier to deal with? Such a function would map similar size intervals to similar size intervals making comparisons across different domain sets easier and more obvious. Such simplicity might be desirable if all other things are equal. We show here that all other things are not equal. In the case of measuring diversification, a simplistic view is trumped by the need for more complicated mathematical functions that can do the necessary measuring. The simple, e.g. linear measures, do not do the job. We show that on this basis entropy is the function of choice for diversification/concentration measurement. In particular, we show that: entropy is decomposable so that it gives a natural way to measure diversification/concentration; the popular Herfindahl measure is actually an approximation to the entropy. Keywords: entropy diversification; strategic management; mathematics; diversification measurement; concentration measurement; Herfindahl measure. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ids:ijmore:v:1:y:2009:i:4:p:532-540 Access Statistics for this article More articles in International Journal of Mathematics in Operational Research from Inderscience Enterprises Ltd |
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