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Empirical Banzhaf Indices

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  • Heard, Andrew
  • Swartz, Tim

Abstract

This paper considers a generalization of the Banzhaf index which is used to quantify voting power in constituent bodies. The generalization allows unequal probabilities in voting outcomes and relies on historical voting data to highlight natural coalitions that exist between various constituent bodies. The approach is based on Bayesian modeling where estimates of voting probabilities are given by the posterior means of Dirichlet distributions. An example is provided concerning the voting power of provinces according to the amending formula to Canada's Constitution. Copyright 1998 by Kluwer Academic Publishers

Suggested Citation

  • Heard, Andrew & Swartz, Tim, 1998. "Empirical Banzhaf Indices," Public Choice, Springer, vol. 97(4), pages 701-707, December.
    • Handle: RePEc:kap:pubcho:v:97:y:1998:i:4:p:701-07
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    Cited by:

    1. Serguei Kaniovski & Sreejith Das, 2015. "Measuring voting power in games with correlated votes using Bahadur’s parametrisation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 349-367, February.
    2. Serguei Kaniovski & Dennis Leech, 2009. "A behavioral power index," Public Choice, Springer, vol. 141(1), pages 17-29, October.
    3. Alexander Zaigraev & Serguei Kaniovski, 2012. "Bounds on the competence of a homogeneous jury," Theory and Decision, Springer, vol. 72(1), pages 89-112, January.
    4. Kaniovski, Serguei, 2009. "An invariance result for homogeneous juries with correlated votes," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 213-222, March.
    5. Kaniovski, Serguei & Leech, Dennia, 2009. "A behavioral power index," Economic Research Papers 269780, University of Warwick - Department of Economics.
    6. Debabrata Pal, 2021. "Does everyone have equal voting power?," Indian Economic Review, Springer, vol. 56(2), pages 515-525, December.
    7. Serguei Kaniovski & Alexander Zaigraev, 2011. "Optimal jury design for homogeneous juries with correlated votes," Theory and Decision, Springer, vol. 71(4), pages 439-459, October.

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