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Approval Voting & Majority Judgment in Weighted Representative Democracy

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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), Université de Cergy-Pontoise.
    • 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.
    3. James Green-Armytage, 2015. "Direct voting and proxy voting," Constitutional Political Economy, Springer, vol. 26(2), pages 190-220, June.
    4. 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.
    5. Michel Balinski & Rida Laraki, 2011. "Majority Judgment: Measuring, Ranking, and Electing," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262015137, December.
    6. Gordon Tullock, 1959. "Problems of Majority Voting," Journal of Political Economy, University of Chicago Press, vol. 67(6), pages 571-571.
    7. Dan Alger, 2006. "Voting by proxy," Public Choice, Springer, vol. 126(1), pages 1-26, January.
    8. Madelyn Kafoglis, 1968. "Participatory democracy in the community action program," Public Choice, Springer, vol. 5(1), pages 73-85, September.
    9. Reshef Meir & Fedor Sandomirskiy & Moshe Tennenholtz, 2020. "Representative Committees of Peers," Papers 2006.07837, arXiv.org.
    10. Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753, January.
    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, June.
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    Cited by:

    1. Ben Abramowitz & Nicholas Mattei, 2022. "Towards Group Learning: Distributed Weighting of Experts," Papers 2206.02566, arXiv.org.
    2. Ben Abramowitz & Omer Lev & Nicholas Mattei, 2022. "Who Reviews The Reviewers? A Multi-Level Jury Problem," Papers 2211.08494, arXiv.org, revised Dec 2023.
    3. Hans Gersbach, 2022. "New Forms of Democracy," CESifo Working Paper Series 10134, CESifo.

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    More about this item

    Keywords

    Social Choice; Ideal direct democracy; Representative democracy; Multioption decisions; Weighted Approval Voting; Weighted Majority Judgment;
    All these keywords.

    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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