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The Disproportion Of Allocation Under The Given Boundary Conditions

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  • Piotr Dniestrzański
  • Janusz Łyko

Abstract

There are several well known measures of the inequality of distribution of goods and burdens. One of them is for example the Gini coefficient. Applicability of such measures is limited when the use of disproportionate allocation was intended. This is the case in the allocation of seats in the European Parliament. The Treaty of Lisbon provides that the distribution is done according to degressive proportionality with the specified minimum and maximum number of seats allocated to the smallest and largest Member State. These two conditions called boundary conditions at the outset determine the deviation from the proportional division. Therefore, there arises a problem of determining the measure of the disproportion of allocation under the given boundary conditions. This article comprises the proposals for such measures and their application for the analysis of the distribution of seats in the European Parliament.

Suggested Citation

  • Piotr Dniestrzański & Janusz Łyko, 2015. "The Disproportion Of Allocation Under The Given Boundary Conditions," Economy & Business Journal, International Scientific Publications, Bulgaria, vol. 9(1), pages 118-126.
    • Handle: RePEc:isp:journl:v:9:y:2015:i:1:p:118-126
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    References listed on IDEAS

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    1. Lidia Ceriani & Paolo Verme, 2015. "Individual Diversity and the Gini Decomposition," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 121(3), pages 637-646, April.
    2. Geoffrey Grimmett & Jean-François Laslier & Friedrich Pukelsheim & Victoriano Ramirez Gonzalez & Richard J. Rose & Wojciech Slomczynski & Martin Zachariasen & Karol Życzkowski, 2011. "The allocation between the EU member states of the seats in the European Parliament Cambridge Compromise," Working Papers hal-00609946, HAL.
    3. Rose, Richard & Bernhagen, Patrick & Borz, Gabriela, 2012. "Evaluating competing criteria for allocating parliamentary seats," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 85-89.
    4. Moshe Koppel & Abraham Diskin, 2009. "Measuring disproportionality, volatility and malapportionment: axiomatization and solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 281-286, August.
    5. Blanca L Delgado-Márquez & Michael Kaeding & Antonio Palomares, 2013. "A more balanced composition of the European Parliament with degressive proportionality," European Union Politics, , vol. 14(3), pages 458-471, September.
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