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On influence and compromise in two-tier voting systems

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  • Grimmett, Geoffrey R.

Abstract

We examine two aspects of the mathematical basis for two-tier voting systems, such as that of the Council of the European Union. These aspects concern the use of square-root weights and the choice of quota.

Suggested Citation

  • Grimmett, Geoffrey R., 2019. "On influence and compromise in two-tier voting systems," Mathematical Social Sciences, Elsevier, vol. 100(C), pages 35-45.
    • Handle: RePEc:eee:matsoc:v:100:y:2019:i:c:p:35-45
    DOI: 10.1016/j.mathsocsci.2019.05.003
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    References listed on IDEAS

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    1. Mika Widgrén, 2003. "Enlargements and the Principles of Designing EU - Decision-Making Procedures," CESifo Working Paper Series 903, CESifo.
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    4. Werner Kirsch & Jessica Langner, 2014. "The Fate of the Square Root Law for Correlated Voting," Studies in Choice and Welfare, in: Rudolf Fara & Dennis Leech & Maurice Salles (ed.), Voting Power and Procedures, edition 127, pages 147-158, Springer.
    5. Sascha Kurz & Nicola Maaser & Stefan Napel, 2017. "On the Democratic Weights of Nations," Journal of Political Economy, University of Chicago Press, vol. 125(5), pages 1599-1634.
    6. Chang, Pao-Li & Chua, Vincent C.H. & Machover, Moshe, 2006. "L S Penrose's limit theorem: Tests by simulation," Mathematical Social Sciences, Elsevier, vol. 51(1), pages 90-106, January.
    7. M. L. BALINSKI & H. P. Young, 1982. "Fair Representation in the European Parliament," Journal of Common Market Studies, Wiley Blackwell, vol. 20(4), pages 361-373, June.
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    10. Gelman, Andrew & Katz, Jonathan N. & Bafumi, Joseph, 2004. "Standard Voting Power Indexes Do Not Work: An Empirical Analysis," British Journal of Political Science, Cambridge University Press, vol. 34(4), pages 657-674, October.
    11. Maurice Koster & Sascha Kurz & Ines Lindner & Stefan Napel, 2017. "The prediction value," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 433-460, February.
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    Cited by:

    1. Boratyn, Daria & Kirsch, Werner & Słomczyński, Wojciech & Stolicki, Dariusz & Życzkowski, Karol, 2020. "Average weights and power in weighted voting games," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 90-99.
    2. Jindapon, Paan & Van Essen, Matt, 2019. "Political business cycles in a dynamic bipartisan voting model," Mathematical Social Sciences, Elsevier, vol. 102(C), pages 15-23.

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