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On analysis and characterization of the mean-median compromise method

Author

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

Abstract

Most important results in Social Choice Theory concern impossibility theorems. They claim that no function, as complex as it might be, can satisfy simultaneously a restricted number of fair properties describing a democratic system. However, adopting new voting ideas can push back those limits. Some years ago, such a work was boosted by Balinski and Laraki on the basis of evaluations cast by voters to competitors; this is an alternative to arrovian framework which is based on ranking candidates by voters. Recently, Ngoie and Ulungu have proposed a new voting function – defined in both Balinski and Laraki’s spirit – which hybridizes Majority Judgment (MJ) and Borda Majority Count (BMC): the so-called Mean-Median Compromise Method (MMCM). The method puts at its credit the desired properties of MJ and BMC as well; indeed, it reduces their insufficiencies. The purpose of this paper is double: analyse and characterize MMCM features in comparison to other valuable voting functions.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:64154
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 328-328.
    4. Mohajan, Haradhan, 2011. "Majority judgment in an election with Borda majority count," MPRA Paper 50846, University Library of Munich, Germany, revised 15 Sep 2011.
    5. Ngoie, Ruffin-Benoît M. & Savadogo, Zoïnabo & Ulungu, Berthold E.-L., 2014. "New prospects in social choice theory: median and average as tools for measuring, electing and ranking," MPRA Paper 64155, University Library of Munich, Germany, revised 01 Dec 2014.
    6. Hannu Nurmi, 1998. "Voting paradoxes and referenda," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 333-350.
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    Cited by:

    1. 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.
    2. 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; Paradoxes;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • 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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