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Multilevel interterritorial convergence and additive multidimensional inequality decomposition

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  • Rafael Salas

    (Departamento de Fundamentos del Análisis Económico I, Universidad Complutense de Madrid, Campus de Somosaguas, 28223 Madrid, Spain)

Abstract

In this paper we justify the use of the between-groups S-convex relative inequality indices to measure interterritorial convergence. In addition, we provide two appealing extensions to the use of the additive decomposable General Entropy inequality indices. First, multilevel decomposition along several subpartitions is satisfied and a natural application to convergence decomposition along different territorial level arises. Second, further general inequality decomposition along several dimensions is also satisfied. Thus, this framework provides a better explanation of the determinants of convergence (and inequality) when it is decomposed into different dimensions in comparison with other indices available in the literature.

Suggested Citation

  • Rafael Salas, 2002. "Multilevel interterritorial convergence and additive multidimensional inequality decomposition," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 207-218.
    • Handle: RePEc:spr:sochwe:v:19:y:2002:i:1:p:207-218
    Note: Received: 21 May 1999/Accepted: 21 September 2000
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    References listed on IDEAS

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    1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
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    5. Frank A. Cowell, 1985. "Multilevel Decomposition Of Theil'S Index Of Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 31(2), pages 201-205, June.
    6. Robert J. Barro & Xavier Sala-i-Martin, 1990. "Economic Growth and Convergence across The United States," NBER Working Papers 3419, National Bureau of Economic Research, Inc.
    7. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
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    Cited by:

    1. Roberto Ezcurra & Carlos Gil & Pedro Pascual & Manuel Rapun, 2005. "Inequality, Polarisation and Regional Mobility in the European Union," Urban Studies, Urban Studies Journal Limited, vol. 42(7), pages 1057-1076, June.
    2. Mornet, Pauline & Zoli, Claudio & Mussard, Stéphane & Sadefo-Kamdem, Jules & Seyte, Françoise & Terraza, Michel, 2013. "The (α, β)-multi-level α-Gini decomposition with an illustration to income inequality in France in 2005," Economic Modelling, Elsevier, vol. 35(C), pages 944-963.
    3. Iñaki Permanyer & Nicolai Suppa, 2022. "Racing ahead or lagging behind? Territorial cohesion in human development around the globe," Regional Studies, Taylor & Francis Journals, vol. 56(12), pages 2086-2101, December.
    4. Rafael Salas, "undated". "Convergencia, movilidad y redistribución interregional en Espana: 1981-1996," Studies on the Spanish Economy 40, FEDEA.
    5. Santiago Alvarez-Garcia & Juan Prieto-Rodriguez & Rafael Salas, 2004. "The evolution of income inequality in the European Union during the period 1993-1996," Applied Economics, Taylor & Francis Journals, vol. 36(13), pages 1399-1408.
    6. Stéphane Mussard & Françoise Seyte & Michel Terraza, 2006. "La décomposition de l’indicateur de Gini en sous-groupes : une revue de la littérature," Cahiers de recherche 06-11, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    7. Kazuhiko Kakamu & Mototsugu Fukushige, 2009. "Multilevel Decomposition Methods For Income Inequality Measures," The Japanese Economic Review, Japanese Economic Association, vol. 60(3), pages 333-344, September.
    8. Benito , Juan Miguel & Ezcurra, Roberto, 2004. "Spatial disparities in the European Union: national and sectoral elements," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 4, pages 75-98.

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