A fast exact algorithm for the allocation of seats for the EU Parliament

Łyko, Janusz; Rudek, Radosław

doi:10.1016/j.eswa.2013.03.035

Cited by 24 publications

(20 citation statements)

References 7 publications

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“…Recently, Łyko and Rudek (2013) have designed and implemented an algorithm that is able to find all feasible solutions. Nevertheless, all allocations of seats such that "nobody gain and nobody loses more than one" can be generated by an exhaustive search method.…”

Section: Methodsmentioning

confidence: 99%

The European Parliament: Status Quo Vs. Degressive Proportionality

Łyko¹

2017

European Proceedings of Social &Amp; Behavioural Sciences

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The principle of degressively proportional representation in the European Parliament recorded in the Treaty of Lisbon has not been respected so far. According to the current proposals, neither it is applied in the 2014-2019 term of office. A political compromise has led to the dominance of another principle, that is "nobody gains and nobody loses more than one", which again by its assumption cannot be degressively proportional. This paper shows some examples of the allocations of seats according to this rule, which emphasize the need for the further discussion on the precise rules for the composition of the European Parliament in the future.

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Section: Methodsmentioning

confidence: 99%

The European Parliament: Status Quo Vs. Degressive Proportionality

Łyko¹

2017

European Proceedings of Social &Amp; Behavioural Sciences

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“…In this case, subject to boundary conditions for , , there still exist many sequences , which satisfy them, and a problem arises how to select a concrete allocation. In consequence, an area of both political as well as scientific discourse [3,4,5,6,7,8,9,10] is opened.…”

Section: Degressive Proportionality As a Rule Of Allocating Mandates mentioning

confidence: 99%

Application of a Power Function to Allocating Seats in the European Parliament Before and After Brexit

Łyko¹

2018

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Abstract. The paper puts forward a proposal how to apply a power function to allocate the seats in the European Parliament. First, a sequence of populations representing the entitlements of member states is modified by a power function, and then the allocation is performed using the classical, divisor method of apportionment. The results are compared with those obtained by a well-known allocation method called Cambridge Compromise. Our construction and conclusions regard a specific problem of establishing the composition of the European Parliament, but they can be easily generalized to any case of degressively proportional allocation of goods and obligations.

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“…Generally, there are a great number of allocations that satisfy the DP conditions. Łyko & Rudek (2013) report there are around 29 million allocations of seats considering the current populations of the EU member states. A choice of a given allocation must be done in at least two stages.…”

Section: Alpha Proportionalitymentioning

confidence: 99%

Alpha Proportionality and Penrose Square Root Law

Dniestrzański¹

2016

European Proceedings of Social &Amp; Behavioural Sciences

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Problem concerns the distribution of mandates in collegial bodies of communities of states. The number of delegates representing each member of community depends on the number of its population. The paper analyzes the fairness of different kinds of relationship involving the number of representatives in collegial bodies of communities of states, in search of the fairest relationship. The research aims at comparing different ideas of how the numbers of representatives are determined reflecting the population of member states. Literature review, elementary probabilistic tools and mathematical analysis of degressive proportionality are employed. The main result of the paper demonstrates that the two fundamentally different approaches to the problem of distribution of mandates in collegial bodies may lead to similar solutions. A probabilistic approach (based on the voting power) and the concept of degressive proportionality (without additional assumptions) do not exclude each other, but, quite the contrary, may complement each other. The Penrose law and the rule of degressive proportionality, when suitably interpreted, are two sides of the coin. Degressive proportionality, as written in the Lisbon Treaty, is a vague idea.

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A fast exact algorithm for the allocation of seats for the EU Parliament

Cited by 24 publications

References 7 publications

The European Parliament: Status Quo Vs. Degressive Proportionality

The European Parliament: Status Quo Vs. Degressive Proportionality

Application of a Power Function to Allocating Seats in the European Parliament Before and After Brexit

Alpha Proportionality and Penrose Square Root Law

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