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Median and average as tools for measuring, electing and ranking: new prospects

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  • Ngoie, Ruffin-Benoît M.
  • Savadogo, Zoïnabo
  • Ulungu, Berthold E.-L.

Abstract

Impossibility theorems expose inconsistencies and paradoxes related to voting systems. Recently, Michel Balinski and Rida Laraki proposed a new voting theory called Majority Judgment which tries to circumvent this limitation. In Majority Judgment, voters are invited to evaluate candidates in terms taken in a well-known common language. The winner is then the one that obtains the highest median. Since the Majority Judgment proposal was made, authors have detected insufficiencies with this new voting system. This article aims at reducing these insufficiencies by proposing a voting system to decide between the median-based voting and the mean-based one. It proposes, moreover, a new tie-breaking method computing intermedian ranks mean.

Suggested Citation

  • Ngoie, Ruffin-Benoît M. & Savadogo, Zoïnabo & Ulungu, Berthold E.-L., 2014. "Median and average as tools for measuring, electing and ranking: new prospects," MPRA Paper 64731, University Library of Munich, Germany, revised 01 Sep 2014.
    • Handle: RePEc:pra:mprapa:64731
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    References listed on IDEAS

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    2. Michel L. Balinski & Rida Laraki, 2012. "Jugement majoritaire vs. vote majoritaire," Working Papers hal-00760250, HAL.
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    Cited by:

    1. Ngoie, Ruffin-Benoît M. & Ulungu, Berthold E.-L., 2014. "Mean-median compromise method as an innovating voting rule in social choice theory," MPRA Paper 62938, University Library of Munich, Germany, revised 07 Jan 2015.
    2. Ngoie, Ruffin-Benoît M. & Ulungu, Berthold E.-L., 2014. "On analysis and characterization of the mean-median compromise method," MPRA Paper 64154, University Library of Munich, Germany, revised Dec 2014.
    3. García-Lapresta, José Luis & Marques Pereira, Ricardo Alberto, 2022. "An extension of Majority Judgment to non-uniform qualitative scales," European Journal of Operational Research, Elsevier, vol. 301(2), pages 667-674.
    4. Ruffin-benoit Mpoy Ngoie & Eric Kamwa & Berthold Ulungu, 2019. "A Joint Use Of The Mean and Median for Multi Criteria Decision Support: The 3MCD Method," Economics Bulletin, AccessEcon, vol. 39(2), pages 1602-1611.
    5. Ruffin-Benoît M. Ngoie & Eric Kamwa & Berthold Ulungu, 2018. "Joint use of the mean and median for multi criteria decision support: the 3MCD method," Working Papers hal-01760775, HAL.

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    More about this item

    Keywords

    Borda Majority Count; Majority Judgment; Mean-Median Compromise Method;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • 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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