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New prospects in social choice theory: median and average as tools for measuring, electing and ranking

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

Abstract

The goal of this paper is to show that neither mean-based voting systems nor median-based ones can fulfill requirements of an ideal democracy. We then work out an original voting function obtained by hydrizing Borda Majority Count (mean-based) and Majority Judgment (median-based). The so-called “Mean-Median Compromise Method” slices between mean and average values. It proposes, moreover, a new tiebreaking method computing intermedian grades mean.

Suggested Citation

  • 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.
  • Handle: RePEc:pra:mprapa:64155
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    File URL: https://mpra.ub.uni-muenchen.de/64155/1/MPRA_paper_64155.pdf
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    References listed on IDEAS

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    1. Michel Balinski & Rida Laraki, 2012. "Jugement majoritaire vs. vote majoritaire," Working Papers hal-00760250, HAL.
    2. 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.
    3. Jean-François Laslier, 2012. "On choosing the alternative with the best median evaluation," Public Choice, Springer, vol. 153(3), pages 269-277, December.
    4. 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.
    5. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    6. 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..
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58, pages 328-328.
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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.

    More about this item

    Keywords

    Borda Majority Count; Majority Judgment; Mean-Median Compromise Method;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • 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
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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