86 citations · 411 across the 26 of their papers we have counts for
6 papers · 1 filter
A Formal Model of the Relationship between the Number of Parties and the District Magnitude
Daria Boratyn, Jarosław Flis, Wojciech Słomczyński +1
On the basis of a formula for calculating seat shares and natural thresholds in multidistrict elections under the Jefferson-D'Hondt system and a probabilistic model of electoral be…
Double Majority and Generalized Brexit: Explaining Counterintuitive Results
Werner Kirsch, Wojciech Słomczyński, Dariusz Stolicki +1
A mathematical analysis of the distribution of voting power in the Council of the European Union operating according to the Treaty of Lisbon is presented. We study the effects of B…
Mathematical aspects of degressive proportionality
Wojciech Slomczynski, Karol Zyczkowski
We analyze properties of apportionment functions in context of the problem of allocating seats in the European Parliament. Necessary and sufficient conditions for apportionment fun…
Square root voting system, optimal threshold and π
Karol Zyczkowski, Wojciech Slomczynski
The problem of designing an optimal weighted voting system for the two-tier voting, applicable in the case of the Council of Ministers of the European Union (EU), is investigated.…
From a toy model to the double square root voting system
Wojciech Slomczynski, Karol Zyczkowski
We investigate systems of indirect voting based on the law of Penrose, in which each representative in the voting body receives the number of votes (voting weight) proportional to…
Penrose voting system and optimal quota
Wojciech Slomczynski, Karol Zyczkowski
Systems of indirect voting based on the principle of qualified majority can be analysed using the methods of game theory. In particular, this applies to the voting system in the Co…