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Power distribution in the electoral body with an application to the Russian Parliament

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  • Fuad Aleskerov

Abstract

This paper presents several new approaches to evaluate power distribution in an electoral body. We define the index of consistency of two groups’ positions (briefly, the consistency index) which is used to separate possible coalitions in the Parliament. This allows to analyze power distribution within restricted coalition formations. Then we provide several new power indices for the case in which the intensity of factions to coalesce is taken into account. Our analysis of the power distribution model extends the one proposed by Shapley-Owen. A new consistency index is given allowing to construct such an extension. We illustrate these approaches via the analysis of power distribution among factions in the Russian Parliament (Duma) from 1993 to 2005.

Suggested Citation

  • Fuad Aleskerov, 2008. "Power distribution in the electoral body with an application to the Russian Parliament," ICER Working Papers - Applied Mathematics Series 11-2008, ICER - International Centre for Economic Research.
    • Handle: RePEc:icr:wpmath:11-2008
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    File URL: http://www.bemservizi.unito.it/repec/icr/wp2008/ICERwp11-08.pdf
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    References listed on IDEAS

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    1. Dennis Leech, 2002. "Voting Power in the Governance of the International Monetary Fund," Annals of Operations Research, Springer, vol. 109(1), pages 375-397, January.
    2. Fuad Aleskerov, 2006. "Power Indices Taking into Account Agents’ Preferences," Studies in Choice and Welfare, in: Bruno Simeone & Friedrich Pukelsheim (ed.), Mathematics and Democracy, pages 1-18, Springer.
    3. Owen, G & Shapley, L S, 1989. "Optimal Location of Candidates in Ideological Space," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 339-356.
    4. Moshé Machover & Dan S. Felsenthal, 2001. "The Treaty of Nice and qualified majority voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 431-464.
    5. Barr, Jason & Passarelli, Francesco, 2009. "Who has the power in the EU?," Mathematical Social Sciences, Elsevier, vol. 57(3), pages 339-366, May.
    6. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    7. Leech, D., 2000. "Members' Voting Power in the Governance of the International Monetary Fund," The Warwick Economics Research Paper Series (TWERPS) 583, University of Warwick, Department of Economics.
    8. Stefan Napel & Mika Widgrén, 2005. "The Possibility of a Preference-Based Power Index," Journal of Theoretical Politics, , vol. 17(3), pages 377-387, July.
    9. Leech, Dennis, 2002. "Voting Power In The Governance Of The International Monetary Fund," Economic Research Papers 269354, University of Warwick - Department of Economics.
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    Cited by:

    1. Di Giannatale, Paolo & Passarelli, Francesco, 2013. "Voting chances instead of voting weights," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 164-173.
    2. Martin, Mathieu & Nganmeni, Zephirin & Tchantcho, Bertrand, 2017. "The Owen and Shapley spatial power indices: A comparison and a generalization," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 10-19.

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