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The Chamberlin-Courant Rule and the k-Scoring Rules: Agreement and Condorcet Committee Consistency

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  • Mostapha Diss

    (GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

  • Eric Kamwa

    (LC2S - Laboratoire caribéen de sciences sociales - CNRS - Centre National de la Recherche Scientifique - UA - Université des Antilles)

  • Abdelmonaim Tlidi

    (UCA - Université Cadi Ayyad [Marrakech])

Abstract

For committee or multiwinner elections, the Chamberlin-Courant rule (CCR), which combines the Borda rule and the proportional representation, aims to pick the most representative committee (Chamberlin and Courant, 1983). Chamberlin and Courant (1983) have shown that if the size of the committee to be elected is k = 1 among m ≥ 3 candidates, the CCR is equivalent to the Borda rule; Kamwa and Merlin (2014) claimed that if k = m − 1, the CCR is equivalent to the k-Plurality rule. In this paper, we explore what happens for 1

Suggested Citation

  • Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2018. "The Chamberlin-Courant Rule and the k-Scoring Rules: Agreement and Condorcet Committee Consistency," Working Papers halshs-01817943, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01817943
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01817943
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    Cited by:

    1. David McCune & Erin Martin & Grant Latina & Kaitlyn Simms, 2023. "A Comparison of Sequential Ranked-Choice Voting and Single Transferable Vote," Papers 2306.17341, arXiv.org.
    2. Diss, Mostapha & Mahajne, Muhammad, 2020. "Social acceptability of Condorcet committees," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 14-27.

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    More about this item

    Keywords

    Committee; Representativeness; Borda; Condorcet; Chamberlin-Courant; k-Scoring rule;
    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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