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On the measurement of Fragmentation

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  • Jean-François Caulier

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper we propose a new party-system fragmentation measure as equivalent number of parties that fully takes into account the pivotal power of parties. The novel approach we adopt in the method of construction for an index of fragmentation allows us to take advantage of the theory of generalized means. We first construct the (class of) quasi-arithmetic mean(s) with Banzhaf power weight function for the party sizes and then, given the average size, we derive an equivalent-number of parties.

Suggested Citation

  • Jean-François Caulier, 2010. "On the measurement of Fragmentation," Working Papers hal-00633613, HAL.
    • Handle: RePEc:hal:wpaper:hal-00633613
    Note: View the original document on HAL open archive server: https://hal.science/hal-00633613
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    References listed on IDEAS

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    1. Annick Laruelle & Federico Valenciano, 2001. "Shapley-Shubik and Banzhaf Indices Revisited," Mathematics of Operations Research, INFORMS, vol. 26(1), pages 89-104, February.
    2. Molinar, Juan, 1991. "Counting the Number of Parties: An Alternative Index," American Political Science Review, Cambridge University Press, vol. 85(4), pages 1383-1391, December.
    3. Federico Valenciano & Annick Laruelle, 2002. "Assessment Of Voting Situations: The Probabilistic Foundations," Working Papers. Serie AD 2002-22, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    4. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    5. Leslie Hannah & J. A. Kay, 1977. "The Measurement of Concentration," Palgrave Macmillan Books, in: Concentration in Modern Industry, chapter 4, pages 41-63, Palgrave Macmillan.
    6. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
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    1. Nasrudin, Rus'an, 2015. "Does Soft Corruption Make Grease or Sand for Development? Evidence from Road's Special Allocation Fund for Indonesian Districts," MPRA Paper 80578, University Library of Munich, Germany, revised 08 Aug 2017.

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