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Solving the Inverse Power Problem in Two-Tier Voting Settings

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  • Matthias Weber

    (CREED, University of Amsterdam)

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    Abstract

    There are many situations in which different groups make collective decisions by committee voting, where each group is represented by a single person. Theoretical concepts suggest how the voting systems in such committees should be designed, but these abstract rules can usually not be implemented perfectly. To find voting systems that approximate these rules the so called inverse power problem needs to be solved. I introduce a new method to address this problem in two-tier voting settings using the coefficient of variation. This method can easily be applied to a wide variety of settings and rules. After deriving the new method, I illustrate why it is to be preferred over more traditional methods.

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    Bibliographic Info

    Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 14-019/I.

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    Date of creation: 10 Feb 2014
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    Handle: RePEc:dgr:uvatin:20140019

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    Related research

    Keywords: inverse power problem; indirect voting power; two-tier voting; Penrose’s Square Root Rule;

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    1. Stefan Napel & Mika Widgrén, 2004. "The Inter-Institutional Distribution of Power in EU Codecision," CESifo Working Paper Series 1347, CESifo Group Munich.
    2. Claus Beisbart & Luc Bovens & Stephan Hartmann, 2005. "A Utilitarian Assessment of Alternative Decision Rules in the Council of Ministers," European Union Politics, , vol. 6(4), pages 395-418, December.
    3. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting Power in the EU Council of Ministers and Fair Decision Making in Distributive Politics," TSE Working Papers 12-301, Toulouse School of Economics (TSE).
    4. Laruelle, Annick & Widgren, Mika, 1998. " Is the Allocation of Voting Power among EU States Fair?," Public Choice, Springer, Springer, vol. 94(3-4), pages 317-39, March.
    5. Dan S Felsenthal & Moshé Machover, 2004. "Analysis of QM rules in the draft constitution for Europe proposed by the European Convention, 2003," Social Choice and Welfare, Springer, Springer, vol. 23(1), pages 1-20, 08.
    6. Annick Laruelle & Federico Valenciano, 2005. "Assessing success and decisiveness in voting situations," Social Choice and Welfare, Springer, Springer, vol. 24(1), pages 171-197, January.
    7. Baldwin, Richard & Widgrén, Mika, 2004. "Winners and Losers Under Various Dual Majority Rules for the EU Council of Ministers," CEPR Discussion Papers, C.E.P.R. Discussion Papers 4450, C.E.P.R. Discussion Papers.
    8. Nicola Maaser & Stefan Napel, 2007. "Equal representation in two-tier voting systems," Social Choice and Welfare, Springer, Springer, vol. 28(3), pages 401-420, April.
    9. Annick Laruelle & Federico Valenciano, 2010. "Egalitarianism and utilitarianism in committees of representatives," Social Choice and Welfare, Springer, Springer, vol. 35(2), pages 221-243, July.
    10. František Turnovec, 2009. "Fairness and Squareness: Fair Decision Making Rules in the EU Council?," Working Papers IES, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies 2009/01, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Jan 2009.
    11. Sascha Kurz & Stefan Napel, 2012. "Heuristic and exact solutions to the inverse power index problem for small voting bodies," Jena Economic Research Papers 2012-045, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
    12. Laruelle, Annick & Valenciano, Federico, 2002. "Inequality among EU citizens in the EU's Council decision procedure," European Journal of Political Economy, Elsevier, vol. 18(3), pages 475-498, September.
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