2011/04/15 by Jan Florek, Florek, Jan
Economics, Econometrics and Finance · #91B02 #91B14 #91D20 #FOS: Physical sciences #Game Theory and Voting Systems #Physics and Society (physics.soc-ph)
paper · pdf · doi:10.48550/arxiv.1104.3075
openalex publication_date 2011/04/15 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
Distribution of seats in The European Parliament postulated by Treaty of\nLisbon should be degressively proportional. The meaning of degressively\nproportional concept can be found in two principles annexed to the draft of\nEuropean Parliament resolution. The first, referred as the principle of fair\ndivision, states that "the larger the population of a Member State, the greater\nis entitlement to a large number of seats". The other condition, referred to as\nthe principle of relative proportionality, holds that "the larger the\npopulation of a country, the more inhabitants are represented by each of its\nMembers of the EU". We postulate a clear and fair method which determines\nuniquely a distribution of seats in the European Parliament which fulfil the\nrequirements of degressive proportionality. More generally, let li be any\nnon-increasing sequence of real positive numbers. We say that a sequence of\nnatural numbers mi is degressively proportional with respect to the\nsequence li, if mi and li/mi are non-increasing sequences.\nOur method can be instrumental in uniquely determining a degressively\nproportional sequence mi with respect to li which fulfils given\nconditions.\n