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Multilevel interterritorial convergence and additive multidimensional inequality decomposition

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  • Salas, Rafael

Abstract

In this paper we justify the use of the between-groups S-convex relative inequality to measure interregional convergence, within an axiomatic normative context. In addition, the use of additive decomposable inequality indices makes the additive multidimensional (and multilevel) inequality decomposition possible, and help us better understand the evolution of the between- and the withingroups inequality terms (and convergence) when the number of regions increases. We have detected a weak interterritorial divergence process in Spain in the period 1980-1995 using the Eurostat per capita GDP data at all levels, although it is mainly generated at the broad NUTS 1 areas, which is compatible with high level of increasing polarization at this level.

Suggested Citation

  • Salas, Rafael, 1999. "Multilevel interterritorial convergence and additive multidimensional inequality decomposition," UC3M Working papers. Economics 6107, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:6107
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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.
    2. Quentin T. Wodon, 1999. "Between Group Inequality And Targeted Transfers," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 45(1), pages 21-39, March.
    3. Creedy, John, 1977. "The Principle of Transfers and the Variance of Logarithms," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 39(2), pages 153-158, May.
    4. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Rafael Salas, "undated". "Convergencia, movilidad y redistribución interregional en Espana: 1981-1996," Studies on the Spanish Economy 40, FEDEA.
    8. 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.

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    Regional convergence;

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