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The space of all proportional voting systems and the most majoritarian among them

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  • Pietro Speroni di Fenizio

    (Università degli Studi G. D’Annunzio di Chieti Pescara)

  • Daniele A. Gewurz

Abstract

We present an alternative voting system that aims at bridging the gap between proportional representative systems and majoritarian electoral systems. The system lets people vote for multiple party-lists, but then assigns each ballot paper to a single party. This opens a whole range of possible parliaments, all proportionally representative. We show theoretically that this space is convex. Then among the possible parliaments we present an algorithm to produce the most majoritarian result. We then test the system and compare the results with a pure proportional and a majoritarian voting system showing how the results are comparable with the majoritarian system. Then we simulate the system and show how it tends to produce parties of exponentially decreasing size with always a first, major party with about half of the seats. Finally we describe how the system can be used in the context of a parliament made up of two separate houses.

Suggested Citation

  • Pietro Speroni di Fenizio & Daniele A. Gewurz, 2019. "The space of all proportional voting systems and the most majoritarian among them," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 663-683, April.
    • Handle: RePEc:spr:sochwe:v:52:y:2019:i:4:d:10.1007_s00355-018-1166-9
    DOI: 10.1007/s00355-018-1166-9
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    References listed on IDEAS

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    1. D. Marc Kilgour, 2010. "Approval Balloting for Multi-winner Elections," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 105-124, Springer.
    2. Chamberlin, John R. & Courant, Paul N., 1983. "Representative Deliberations and Representative Decisions: Proportional Representation and the Borda Rule," American Political Science Review, Cambridge University Press, vol. 77(3), pages 718-733, September.
    3. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58, pages 328-328.
    4. Giovanni Sartori, 1994. "Comparative Constitutional Engineering," International Economic Association Series, Palgrave Macmillan, number 978-1-349-22861-4, December.
    5. Moshé Machover, 2012. "The Underlying Assumptions of Electoral Systems," Studies in Choice and Welfare, in: Dan S. Felsenthal & Moshé Machover (ed.), Electoral Systems, chapter 0, pages 3-9, Springer.
    6. Jean-François Laslier & M. Remzi Sanver (ed.), 2010. "Handbook on Approval Voting," Studies in Choice and Welfare, Springer, number 978-3-642-02839-7, December.
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    Cited by:

    1. Markus Brill & Paul Gölz & Dominik Peters & Ulrike Schmidt-Kraepelin & Kai Wilker, 2022. "Approval-based apportionment," Post-Print hal-03816043, HAL.
    2. Steven J. Brams & Markus Brill & Anne-Marie George, 2022. "The excess method: a multiwinner approval voting procedure to allocate wasted votes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 283-300, February.

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