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Approval Voting & Majority Judgment in Weighted Representative Democracy

Author

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  • Arnold Cédrick SOH VOUTSA

    (Université de Cergy-Pontoise, THEMA)

Abstract

Pivato and Soh [Pivato, M., Soh, A., 2020.Weighted representative democracy. Journal of Mathematical Economics 88 (2020) 52-63] proposed a new system of democratic representation whereby any individual can choose any legislator as her representative and different legislators can represent different numbers of individuals, concomitantly determining their weights in the legislature. For such legislatures, we consider other voting rules, namely, the Weighted Approval Voting rule and Weighted Majority Judgment rule. We show that if the size of the electorate is large, then with very high probability, the decisions made by the legislature will be the same as the decisions that would have been reached by a direct democracy, as decided by the corresponding simple (unweighted) voting rules.

Suggested Citation

  • Arnold Cédrick SOH VOUTSA, 2020. "Approval Voting & Majority Judgment in Weighted Representative Democracy," Thema Working Papers 2020-15, THEMA (Théorie Economique, Modélisation et Applications), CY Cergy-Paris University, ESSEC and CNRS.
    • Handle: RePEc:ema:worpap:2020-15
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    References listed on IDEAS

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    1. Steven J. Brams & D. Marc Kilgour & Richard F. Potthoff, 2019. "Multiwinner approval voting: an apportionment approach," Public Choice, Springer, vol. 178(1), pages 67-93, January.
    2. Hayrullah Dindar & Gilbert Laffond & Jean Lainé, 2021. "Referendum Paradox for Party-List Proportional Representation," Group Decision and Negotiation, Springer, vol. 30(1), pages 191-220, February.
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    6. Michel Balinski & Rida Laraki, 2011. "Majority Judgment: Measuring, Ranking, and Electing," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262015137, December.
    7. Gordon Tullock, 1959. "Problems of Majority Voting," Journal of Political Economy, University of Chicago Press, vol. 67(6), pages 571-571.
    8. Dan Alger, 2006. "Voting by proxy," Public Choice, Springer, vol. 126(1), pages 1-26, January.
    9. Madelyn Kafoglis, 1968. "Participatory democracy in the community action program," Public Choice, Springer, vol. 5(1), pages 73-85, September.
    10. Reshef Meir & Fedor Sandomirskiy & Moshe Tennenholtz, 2020. "Representative Committees of Peers," Papers 2006.07837, arXiv.org.
    11. Pivato, Marcus & Soh, Arnold, 2020. "Weighted representative democracy," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 52-63.
    12. Jean-François Laslier & M. Remzi Sanver (ed.), 2010. "Handbook on Approval Voting," Studies in Choice and Welfare, Springer, number 978-3-642-02839-7, February.
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    Cited by:

    1. Xinli Guo, 2025. "Bailouts by Representation: A Minimal TLC Theory with Weighted Consent," Papers 2508.08693, arXiv.org.
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    3. Ben Abramowitz & Nicholas Mattei, 2022. "Towards Group Learning: Distributed Weighting of Experts," Papers 2206.02566, arXiv.org.
    4. Ben Abramowitz & Omer Lev & Nicholas Mattei, 2022. "Who Reviews The Reviewers? A Multi-Level Jury Problem," Papers 2211.08494, arXiv.org, revised Dec 2023.
    5. Hans Gersbach, 2022. "New Forms of Democracy," CESifo Working Paper Series 10134, CESifo.

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    Keywords

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    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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