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The equivalent share of a dominant firm: an approach based on distances

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  • Antonio Avila-Cano
  • Francisco Triguero Ruiz

Abstract

The concept of concentration has been widely used in social sciences and applied to different areas, particularly industrial economics, business, sports economics or political science. We construct a new family of concentration indices, based on the mathematical concept of distance. By construction, its value is the monopoly ratio. It complies with the set of properties traditionally required at concentration indices. The index can be interpreted like the equivalent share of the dominant firm in a distribution with many elements in which all the others firms are of an equal size. Our index solves the problems linked to the limited cardinality of the majority of the existing indices. Cardinality property may be relevant in modelling and political economic decisions.

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  • Antonio Avila-Cano & Francisco Triguero Ruiz, 2021. "The equivalent share of a dominant firm: an approach based on distances," Applied Economics Letters, Taylor & Francis Journals, vol. 28(17), pages 1521-1525, October.
    • Handle: RePEc:taf:apeclt:v:28:y:2021:i:17:p:1521-1525
    DOI: 10.1080/13504851.2020.1829534
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    Cited by:

    1. Avila-Cano, Antonio & Owen, P. Dorian & Triguero-Ruiz, Francisco, 2023. "Measuring competitive balance in sports leagues that award bonus points, with an application to rugby union," European Journal of Operational Research, Elsevier, vol. 309(2), pages 939-952.

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