Jagiellonian Compromise

The Jagiellonian Compromise is an electoral system for two-tier voting bodies originally proposed in 2004[1] for the Council of the European Union as a way of achieving "one person, one vote" within the Union.

Reaction and explanation

The compromise was analysed by various authors[2] and received attention in the popular press.[3] The system is based on the square root law of Penrose, which implies that a priori voting power defined by the Penrose–Banzhaf index of a member of a voting body is inversely proportional to the square root of its size. Hence the number of votes obtained by a representative of a state with population is proportional to . Jagiellonian Compromise is based on a single criterion only. Decision of the Council of the Union of Member States is taken if the sum of the weights of States voting in favour of a given proposal exceeds the qualified majority quota equal to

For a generic distribution of population among States of the Union, the optimal threshold decreases with as .[4]

See also

References

Notes

  1. ↑ Słomczyński & Życzkowski 2004.
  2. ↑ Kirsch 2010; Pukelsheim 2010; Ratzer 2006.
  3. ↑ Highfield, Roger (14 July 2004). "The EU Constitution is 'Unfair', According to Game Theorists". The Telegraph. London. Retrieved 30 August 2017.
  4. ↑ Życzkowski & Słomczyński 2012.

Bibliography

Kirsch, Werner (2010). "The Distribution of Power in the Council of Ministers of the European Union". In Cichocki, Marek A.; Życzkowski, Karol. Institutional Design and Voting Power in the European Union. Farnham, England: Ashgate Publishing. pp. 93ff. ISBN 978-1-4094-9995-4.
Pukelsheim, Friedrich (2010). "Putting Citizens First: Representation and Power in the European Union". In Cichocki, Marek A.; Życzkowski, Karol. Institutional Design and Voting Power in the European Union. Farnham, England: Ashgate Publishing. pp. 235–254. ISBN 978-1-4094-9995-4.
Ratzer, Edward (2006). "On the 'Jagiellonian Compromise': Voting in the European Union" (PDF). Cambridge, England: University of Cambridge. Retrieved 30 August 2017.
Słomczyński, Wojciech; Życzkowski, Karol (2004). "Voting in the European Union: The Square Root System of Penrose and a Critical Point". arXiv:cond-mat/0405396.
Życzkowski, Karol; Słomczyński, Wojciech (2012). "Square Root Voting System, Optimal Threshold and π". arXiv:1104.5213.


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