A Decomposition of the Herfindahl Index of Concentration

de Gioia, Giacomo (2017): A Decomposition of the Herfindahl Index of Concentration.

Abstract

The Herfindahl index is one of the most known indices used to measure the concentration of a variable distributed over a certain number of units, and tipically to measure the degree of concentration of business in a market. Its worth is the sensitivity both to the dimensional variability of these units and to their numerical consistency. In this note a decomposition of the H-index into these two terms is offered.

• Item Type: MPRA Paper
• Language: English
• Keywords: Herfindahl; Decomposition of the Herfindahl index; Industrial concentration; Metric index of concentration.
• Subjects: C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C43 - Index Numbers and Aggregation; C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C49 - Other; D - Microeconomics > D4 - Market Structure, Pricing, and Design > D40 - General; L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L11 - Production, Pricing, and Market Structure ; Size Distribution of Firms

References

Cracau, D. and Lima, J. E. D. (2016), "On the Normalized Herfindahl-Hirschman Index: A Technical Note", International Journal on Food System Dynamics 7 (4), 382-386.

de Gioia, G. (2000), "Measures of concentration and probability. A decomposition of the Herfindahl index with an application to Italian data", Research report at Master in Economics--Coripe Piemonte, Moncalieri (Turin); unpublished.

Hay, D. A. and Morris, D. J. (1984), Economia industriale. Teoria e verifiche empiriche, Il Mulino, Bologna. (Orig. ed.: Industrial Economics. Theory and Evidence, Oxford University Press, Oxford, 1979.)

Ricci, F. (1975), Statistica ed elaborazione statistica delle informazioni, Zanichelli, Bologna.

Scognamiglio Pasini, C. (2013), Economia industriale. Economia dei mercati imperfetti, Luiss University Press, Roma.