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Minimizing the mean majority deficit: The second square-root rule

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  • Felsenthal, Dan S.
  • Machover, Moshe

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  • Felsenthal, Dan S. & Machover, Moshe, 1999. "Minimizing the mean majority deficit: The second square-root rule," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 25-37, January.
    • Handle: RePEc:eee:matsoc:v:37:y:1999:i:1:p:25-37
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    References listed on IDEAS

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    1. Fielding, Geoff & Liebeck, Hans, 1975. "Voting Structures and the Square Root Law," British Journal of Political Science, Cambridge University Press, vol. 5(2), pages 249-256, April.
    2. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    3. 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:

    1. Salvador Barbera & Matthew O. Jackson, 2006. "On the Weights of Nations: Assigning Voting Weights in a Heterogeneous Union," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 317-339, April.
    2. Kurz, Sascha & Maaser, Nicola & Napel, Stefan, 2018. "Fair representation and a linear Shapley rule," Games and Economic Behavior, Elsevier, vol. 108(C), pages 152-161.
    3. Annick Laruelle & Federico Valenciano, 2010. "Egalitarianism and utilitarianism in committees of representatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 221-243, July.
    4. Claus Beisbart & Luc Bovens, 2013. "Minimizing the threat of a positive majority deficit in two-tier voting systems with equipopulous units," Public Choice, Springer, vol. 154(1), pages 75-94, January.
    5. Sebastian Bervoets & Vincent Merlin, 2012. "Gerrymander-proof representative democracies," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(3), pages 473-488, August.
    6. Yukio Koriyama & Jean-François Laslier & Antonin Macé & Rafael Treibich, 2013. "Optimal Apportionment," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 584-608.
    7. Olivier Mouzon & Thibault Laurent & Michel Breton & Dominique Lepelley, 2019. "Exploring the effects of national and regional popular vote Interstate compact on a toy symmetric version of the Electoral College: an electoral engineering perspective," Public Choice, Springer, vol. 179(1), pages 51-95, April.
    8. Ines Lindner, 2012. "Annick Laruelle and Federico Valenciano: Voting and collective decision-making," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 161-179, January.
    9. Antonin Macé & Rafael Treibich, 2021. "Inducing Cooperation through Weighted Voting and Veto Power," American Economic Journal: Microeconomics, American Economic Association, vol. 13(3), pages 70-111, August.
    10. 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.
    11. Le Breton, Michel & Lepelley, Dominique & Macé, Antonin & Merlin, Vincent, 2017. "Le mécanisme optimal de vote au sein du conseil des représentants d’un système fédéral," L'Actualité Economique, Société Canadienne de Science Economique, vol. 93(1-2), pages 203-248, Mars-Juin.
    12. Le Breton, Michel & Van Der Straeten, Karine, 2014. "Influence Vs. Utility in the Evaluation of Voting Rules: A New Look at the Penrose Formula," TSE Working Papers 14-511, Toulouse School of Economics (TSE).
    13. Kazuya Kikuchi, 2022. "Welfare ordering of voting weight allocations," Papers 2208.05316, arXiv.org, revised Mar 2024.
    14. Kirsch, Werner & Toth, Gabor, 2022. "Collective bias models in two-tier voting systems and the democracy deficit," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 118-137.
    15. N. Maaser, 2017. "Simple vs. Sophisticated Rules for the Allocation of Voting Weights," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 34(1), pages 67-78, April.
    16. Imma Curiel, 2014. "A multifaceted analysis of the electoral system of the Republic of Suriname," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(4), pages 29-49.
    17. Matthias Weber, 2014. "Choosing Voting Systems behind the Veil of Ignorance: A Two-Tier Voting Experiment," Tinbergen Institute Discussion Papers 14-042/I, Tinbergen Institute.
    18. Maaser, Nicola & Napel, Stefan, 2012. "A note on the direct democracy deficit in two-tier voting," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 174-180.
    19. Paul Schure & Francesco Passerelli & David Scoones, 2007. "When the Powerful Drag Their Feet," Department Discussion Papers 0703, Department of Economics, University of Victoria.

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