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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), 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.
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    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.
    6. Gordon Tullock, 1959. "Problems of Majority Voting," Journal of Political Economy, University of Chicago Press, vol. 67, pages 571-571.
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    9. Pivato, Marcus & Soh, Arnold, 2020. "Weighted representative democracy," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 52-63.
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    Full references (including those not matched with items on IDEAS)

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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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