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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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    1. Jean-François Laslier, 2011. "Lessons from In Situ Experiments during French Elections," Studies in Public Choice, in: Bernard Dolez & Bernard Grofman & Annie Laurent (ed.), In Situ and Laboratory Experiments on Electoral Law Reform, chapter 0, pages 91-104, Springer.
    2. Michel L. Balinski & Rida Laraki, 2012. "Jugement majoritaire vs. vote majoritaire," Working Papers hal-00760250, HAL.
    3. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2013. "Who’s Favored by Evaluative Voting ? An Experiment Conducted During the 2012 French Presidential Election," Working Papers of BETA 2013-08, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    4. Jean-François Laslier, 2012. "On choosing the alternative with the best median evaluation," Public Choice, Springer, vol. 153(3), pages 269-277, December.
    5. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    6. Michel Balinski & Rida Laraki, 2011. "Election by Majority Judgment: Experimental Evidence," Studies in Public Choice, in: Bernard Dolez & Bernard Grofman & Annie Laurent (ed.), In Situ and Laboratory Experiments on Electoral Law Reform, chapter 0, pages 13-54, Springer.
    7. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    8. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
    9. Antoinette Baujard & Herrade Igersheim, 2007. "Expérimentation du vote par note et du vote par approbation lors de l'élection présidentielle française du 22 avril 2007," Post-Print halshs-00337290, HAL.
    10. Étienne Farvaque & Hubert Jayet & Lionel Ragot, 2009. "Quel mode de scrutin pour quel « vainqueur » ? Une expérience sur le vote préférentiel transférable," Revue d'économie politique, Dalloz, vol. 119(2), pages 221-246.
    11. José Alcantud & Annick Laruelle, 2014. "Dis&approval voting: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 1-10, June.
    12. Antoinette Baujard & Herrade Igersheim, 2009. "Expérimentation du vote par note et du vote par approbation le 22 avril 2007. Premiers résultats," Revue économique, Presses de Sciences-Po, vol. 60(1), pages 189-201.
    13. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2013. "Who's favored by Evaluative Voting? An experiment conducted during the 2012 French Presidential Election," Post-Print halshs-00950309, HAL.
    14. 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.
    15. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2013. "Who's Favored by Evaluative Voting? An Experiment Conducted During the 2012 French Presidential Election," Working Papers hal-00803024, HAL.
    16. Jean-François Laslier, 2010. "A note on choosing the alternative with the best median evaluation," Working Papers hal-00397403, 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. 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.
    4. 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.
    5. 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.

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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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