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Power Indices As An Aid To Institutional Design : The Generalised Apportionment Problem

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  • Leech, Dennis

    (University of Warwick and VPP, CPNSS, LSE)

Abstract

A priori voting power analysis can be useful in helping to design a weighted voting system that has certain intended properties. Power indices can help determine how many weighted votes each member should be allocated and what the decision rule should be. These choices can be made in the light of a requirement that there be a given distribution of power and/or a desired division of powers between individual members and the collective institution. This paper focuses on the former problem: choosing the weights given that the power indices and the decision rule are fixed exogenously.

Suggested Citation

  • Leech, Dennis, 2002. "Power Indices As An Aid To Institutional Design : The Generalised Apportionment Problem," The Warwick Economics Research Paper Series (TWERPS) 648, University of Warwick, Department of Economics.
    • Handle: RePEc:wrk:warwec:648
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    File URL: https://warwick.ac.uk/fac/soc/economics/research/workingpapers/2008/twerp648.pdf
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    References listed on IDEAS

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    1. Matthias Sutter, 2000. "Fair Allocation and Re-Weighting of Votes and Voting Power in the EU before and after the Next Enlargement," Journal of Theoretical Politics, , vol. 12(4), pages 433-449, October.
    2. Laruelle, Annick & Widgren, Mika, 1998. "Is the Allocation of Voting Power among EU States Fair?," Public Choice, Springer, vol. 94(3-4), pages 317-339, March.
    3. Annick Laruelle & Federico Valenciano, 2001. "Shapley-Shubik and Banzhaf Indices Revisited," Mathematics of Operations Research, INFORMS, vol. 26(1), pages 89-104, February.
    4. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    5. Dennis Leech, 2002. "An Empirical Comparison of the Performance of Classical Power Indices," Political Studies, Political Studies Association, vol. 50(1), pages 1-22, March.
    6. Pradeep Dubey & Lloyd S. Shapley, 1979. "Mathematical Properties of the Banzhaf Power Index," Mathematics of Operations Research, INFORMS, vol. 4(2), pages 99-131, May.
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    Cited by:

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    2. Sascha Kurz & Stefan Napel, 2014. "Heuristic and exact solutions to the inverse power index problem for small voting bodies," Annals of Operations Research, Springer, vol. 215(1), pages 137-163, April.
    3. Sreejith Das, 2011. "Criticality in games with multiple levels of approval," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 373-395, September.

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