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On Voting Power Indices and a Class of Probability Distributions: With applications to EU data

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  • Sven Berg

    (University of Lund)

Abstract

Properties of a class of voting power indices, defined as the expected number of swings under a probability model, are discussed. For decisive voting games swing sets exhibit symmetries which can be used to characterize the voting power indices. Numerical illustrations based on EU Council data are provided.

Suggested Citation

  • Sven Berg, 1999. "On Voting Power Indices and a Class of Probability Distributions: With applications to EU data," Group Decision and Negotiation, Springer, vol. 8(1), pages 17-31, January.
    • Handle: RePEc:spr:grdene:v:8:y:1999:i:1:d:10.1023_a:1008673712816
    DOI: 10.1023/A:1008673712816
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    References listed on IDEAS

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    1. Berg, Sven, 1997. "Indirect voting systems: Banzhaf numbers, majority functions and collective competence," European Journal of Political Economy, Elsevier, vol. 13(3), pages 557-573, September.
    2. Straffin, Philip Jr., 1994. "Power and stability in politics," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 32, pages 1127-1151, Elsevier.
    3. Shenoy, Prakash P., 1982. "The Banzhaf power index for political games," Mathematical Social Sciences, Elsevier, vol. 2(3), pages 299-315, April.
    4. Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer;Game Theory Society, vol. 17(2), pages 89-99.
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    Cited by:

    1. Josep Freixas & Montserrat Pons, 2017. "Using the Multilinear Extension to Study Some Probabilistic Power Indices," Group Decision and Negotiation, Springer, vol. 26(3), pages 437-452, May.
    2. Fabrice Barthelemy & Mathieu Martin, 2011. "A Comparison Between the Methods of Apportionment Using Power Indices: the Case of the US Presidential Elections," Annals of Economics and Statistics, GENES, issue 101-102, pages 87-106.
    3. Abraham Diskin & Moshe Koppel, 2010. "Voting power: an information theory approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(1), pages 105-119, January.
    4. Saari, Donald G. & Sieberg, Katri K., 2001. "Some Surprising Properties of Power Indices," Games and Economic Behavior, Elsevier, vol. 36(2), pages 241-263, August.
    5. Tchantcho, Bertrand & Lambo, Lawrence Diffo & Pongou, Roland & Engoulou, Bertrand Mbama, 2008. "Voters' power in voting games with abstention: Influence relation and ordinal equivalence of power theories," Games and Economic Behavior, Elsevier, vol. 64(1), pages 335-350, September.
    6. Christian Fahrholz & Philipp Mohl, 2004. "EMU-enlargement and the Reshaping of Decision-making within the ECB Governing Council: A Voting-Power Analysis," Eastward Enlargement of the Euro-zone Working Papers wp23, Free University Berlin, Jean Monnet Centre of Excellence, revised 01 Jun 2004.

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