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Inequality foundations of concentration measures: An application to the Hannah-Kay indices

Author

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  • Oscar Bajo

    (Universidad de Castilla-La Mancha, Departamento de Economía y Empresa, Ronda de Toledo s/n, 13071 Ciudad Real, Spain Universidad Complutense de Madrid, Departamento de Fundamentos del Análisis Económico I, Campus de Somosaguas, 28223 Madrid, Spain)

  • Rafael Salas

    (Universidad de Castilla-La Mancha, Departamento de Economía y Empresa, Ronda de Toledo s/n, 13071 Ciudad Real, Spain Universidad Complutense de Madrid, Departamento de Fundamentos del Análisis Económico I, Campus de Somosaguas, 28223 Madrid, Spain)

Abstract

The aim of this paper is to provide a connection between concentration and inequality. In particular, we show that the general entropy inequality indices are, among inequality measures, those consistent with the whole set of Hannah-Kay concentration indices. We isolate the inequality component underlying concentration measures, obtaining an explicit additive decomposition of the change in concentration into the change in its two components, i.e., inequality and the number of firms. This relationship proves to be valid for the whole set of Hannah-Kay concentration indices, and embodies as particular cases some others previously found in the literature.

Suggested Citation

  • Oscar Bajo & Rafael Salas, 2002. "Inequality foundations of concentration measures: An application to the Hannah-Kay indices," Spanish Economic Review, Springer;Spanish Economic Association, vol. 4(4), pages 311-316.
    • Handle: RePEc:spr:specre:v:4:y:2002:i:4:p:311-316
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    Cited by:

    1. Bukvić, Rajko, 2022. "Концентрация И Конкуренция В Современном Банковском Секторе Сербии: Перемены И Декомпозиция Индекса Херфиндаля – Хиршмана [Concentration and Competition in Modern Banking Sector of Serbia: Changes and Decomposition of Herfindahl – Hirschman Index]," MPRA Paper 112928, University Library of Munich, Germany, revised 2022.
    2. Dorian Owen, 2014. "Measurement of competitive balance and uncertainty of outcome," Chapters, in: John Goddard & Peter Sloane (ed.), Handbook on the Economics of Professional Football, chapter 3, pages 41-59, Edward Elgar Publishing.
    3. Najahi, Akbar & Mousavi Jahromi, Yeghaneh & Khodadadkashi, Farhad & Haji, Gholamali, 2016. "Relationship between Structure and Performance in the Banking Industry of Iran," Journal of Money and Economy, Monetary and Banking Research Institute, Central Bank of the Islamic Republic of Iran, vol. 11(4), pages 443-466, October.
    4. I. Brezina & J. Pekár & Z. Čičková & M. Reiff, 2016. "Herfindahl–Hirschman index level of concentration values modification and analysis of their change," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 24(1), pages 49-72, March.
    5. Guglielmo D’Amico & Giuseppe Di Biase & Raimondo Manca, 2011. "Immigration Effects On Economic Systems Through Dynamic Inequality Indices," Global Journal of Business Research, The Institute for Business and Finance Research, vol. 5(5), pages 11-25.
    6. Owen, P. Dorian, 2010. "Limitations of the relative standard deviation of win percentages for measuring competitive balance in sports leagues," Economics Letters, Elsevier, vol. 109(1), pages 38-41, October.
    7. Irving Fisher Committee, 2013. "Proceedings of the Sixth IFC Conference on "Statistical issues and activities in a changing environment", Basel, 28-29 August 2012," IFC Bulletins, Bank for International Settlements, number 36.
    8. Bukvić, Rajko, 2022. "Koncentracija u sektoru osiguranja u Srbiji: promene u periodu 2011–2020. i njihova dekompozicija [Concentration in Serbian Insurance Sector: 2011–2020 Changes and Their Decomposition]," MPRA Paper 113347, University Library of Munich, Germany, revised 2022.
    9. P. Dorian Owen & Nicholas King, 2015. "Competitive Balance Measures In Sports Leagues: The Effects Of Variation In Season Length," Economic Inquiry, Western Economic Association International, vol. 53(1), pages 731-744, January.
    10. Wang, Chengwei & Li, Ye & Liu, Desheng & Miao, Wang, 2024. "Temporal and spatial dynamics of China's energy industry agglomeration network and city network: Perspective of input–output and social networks," Energy, Elsevier, vol. 313(C).
    11. Bukvić, Rajko, 2022. "Типови Промена Концентрације У Банковном Сектору Србије: Декомпозиција Индекса Хиршмана-Херфиндала [Types of the Changes in Banking Sector of Serbia Concentration: Decomposition of the Hirschman-Herfindahl Index]," MPRA Paper 114612, University Library of Munich, Germany, revised 2022.
    12. repec:qut:auncer:2013_04 is not listed on IDEAS
    13. P. Owen & Michael Ryan & Clayton Weatherston, 2007. "Measuring Competitive Balance in Professional Team Sports Using the Herfindahl-Hirschman Index," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 31(4), pages 289-302, December.
    14. Ivan Brezina & Juraj Pekár, 2013. "Analýza citlivosti hodnot Herfidalovho-Hirschmanovho indexu slovenského bankového sektora [Sensitivity Analysis of Herfindahl-Hirschman Index on the Slovak Banking Sector]," Politická ekonomie, Prague University of Economics and Business, vol. 2013(6), pages 735-751.
    15. Frederico Rocha & Sálua Bueno & Luiza Nassif Pires, 2007. "Dinâmica Da Concentração De Mercado Na Indústria Brasileira, 1996-2003," Anais do XXXV Encontro Nacional de Economia [Proceedings of the 35th Brazilian Economics Meeting] 141, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    16. Fernando Ávila & Emilio Flores & Fabrizio López-Gallo & Javier Márquez, 2013. "Concentration indicators: assessing the gap between aggregate and detailed data," IFC Bulletins chapters, in: Bank for International Settlements (ed.), Proceedings of the Sixth IFC Conference on "Statistical issues and activities in a changing environment", Basel, 28-29 August 2012., volume 36, pages 542-559, Bank for International Settlements.
    17. Bukvić, Rajko, 2022. "Concentration in Serbian Insurance Sector: 2011–2020 Changes and Their Decomposition," MPRA Paper 113386, University Library of Munich, Germany, revised 2022.
    18. Guglielmo D’Amico & Giuseppe Di Biase & Raimondo Manca, 2015. "Measuring Income Inequality: An Application Of The Population Dynamic Theil'S Entropy," Accounting & Taxation, The Institute for Business and Finance Research, vol. 7(1), pages 103-114.
    19. Bukvić, Rajko, 2023. "Market Concentration in banking sector of Serbia: decomposition of the Changes in 2016–2021," MPRA Paper 120970, University Library of Munich, Germany, revised 2023.

    More about this item

    Keywords

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    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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