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Why not proportional?

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  • Jean-François Laslier

    (X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique)

Abstract

This paper reviews the arguments that justify the principles of proportional and degressively proportional representation.

Suggested Citation

  • Jean-François Laslier, 2011. "Why not proportional?," Working Papers hal-00625308, HAL.
    • Handle: RePEc:hal:wpaper:hal-00625308
    Note: View the original document on HAL open archive server: https://hal.science/hal-00625308
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    References listed on IDEAS

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    1. Claus Beisbart & Stephan Hartmann, 2010. "Welfarist evaluations of decision rules under interstate utility dependencies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(2), pages 315-344, February.
    2. Laruelle,Annick & Valenciano,Federico, 2011. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521182638, October.
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    4. Claus Beisbart & Luc Bovens, 2007. "Welfarist evaluations of decision rules for boards of representatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(4), pages 581-608, December.
    5. Rose, Richard & Bernhagen, Patrick & Borz, Gabriela, 2012. "Evaluating competing criteria for allocating parliamentary seats," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 85-89.
    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. 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.
    8. Lindner, Ines & Machover, Moshe, 2004. "L.S. Penrose's limit theorem: proof of some special cases," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 37-49, January.
    9. Macé, Antonin & Treibich, Rafael, 2012. "Computing the optimal weights in a utilitarian model of apportionment," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 141-151.
    10. Geoffrey Grimmett & Jean-François Laslier & Friedrich Pukelsheim & Victoriano Ramirez Gonzalez & Richard J. Rose & Wojciech Slomczynski & Martin Zachariasen & Karol Życzkowski, 2011. "The allocation between the EU member states of the seats in the European Parliament Cambridge Compromise," Working Papers hal-00609946, HAL.
    11. Barr, Jason & Passarelli, Francesco, 2009. "Who has the power in the EU?," Mathematical Social Sciences, Elsevier, vol. 57(3), pages 339-366, May.
    12. 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.
    13. M. L. BALINSKI & H. P. Young, 1982. "Fair Representation in the European Parliament," Journal of Common Market Studies, Wiley Blackwell, vol. 20(4), pages 361-373, June.
    14. Blackorby, Charles & Bossert, Walter & Donaldson, David, 2002. "Utilitarianism and the theory of justice," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 11, pages 543-596, Elsevier.
    15. Gelman, Andrew & Katz, Jonathan N. & Bafumi, Joseph, 2004. "Standard Voting Power Indexes Do Not Work: An Empirical Analysis," British Journal of Political Science, Cambridge University Press, vol. 34(4), pages 657-674, October.
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    Cited by:

    1. Wada, Junichiro, 2012. "A divisor apportionment method based on the Kolm–Atkinson social welfare function and generalized entropy," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 243-247.
    2. Casella, Alessandra & Laslier, Jean-François & Macé, Antonin, 2017. "Democracy for Polarized Committees: The Tale of Blotto's Lieutenants," Games and Economic Behavior, Elsevier, vol. 106(C), pages 239-259.
    3. Blanca L Delgado-Márquez & Michael Kaeding & Antonio Palomares, 2013. "A more balanced composition of the European Parliament with degressive proportionality," European Union Politics, , vol. 14(3), pages 458-471, September.
    4. 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.
    5. Di Giannatale, Paolo & Passarelli, Francesco, 2013. "Voting chances instead of voting weights," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 164-173.
    6. Marina Bannikova & Artyom Jelnov & Pavel Jelnov, 2021. "The Number of Parties and Decision-Making in Legislatures," Games, MDPI, vol. 12(4), pages 1-10, October.
    7. Markus Brill & Jean-François Laslier & Piotr Skowron, 2018. "Multiwinner approval rules as apportionment methods," Journal of Theoretical Politics, , vol. 30(3), pages 358-382, July.
    8. Biró, Péter & Kóczy, László Á. & Sziklai, Balázs, 2015. "Fair apportionment in the view of the Venice Commission’s recommendation," Mathematical Social Sciences, Elsevier, vol. 77(C), pages 32-41.
    9. 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.
    10. Allen, Trevor J. & Taagepera, Rein, 2017. "Seat allocation in federal second chambers: Logical models in Canada and Germany," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 22-30.
    11. Katarzyna Cegiełka & Piotr Dniestrzański & Janusz Łyko & Arkadiusz Maciuk & Maciej Szczeciński, 2021. "A neutral core of degressively proportional allocations under lexicographic preferences of agents," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 11(4), pages 667-685, December.
    12. 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.
    13. Macé, Antonin & Treibich, Rafael, 2012. "Computing the optimal weights in a utilitarian model of apportionment," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 141-151.
    14. Nicolas Boccard, 2023. "Electoral inequity," Journal of Theoretical Politics, , vol. 35(2), pages 100-125, April.

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    Keywords

    Proportional representation; Degressive proportionality;

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