IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/64731.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/64731/1/MPRA_paper_64731.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jean-François Laslier, 2012. "On choosing the alternative with the best median evaluation," Public Choice, Springer, vol. 153(3), pages 269-277, December.
    2. Jean-François Laslier, 2010. "A note on choosing the alternative with the best median evaluation," Working Papers hal-00397403, HAL.
    3. Michel L. Balinski & Rida Laraki, 2012. "Jugement majoritaire vs. vote majoritaire," Working Papers hal-00760250, HAL.
    4. 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.
    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. 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. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    15. 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.
    16. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Kotaro Suzumura, 2002. "Introduction to social choice and welfare," Temi di discussione (Economic working papers) 442, Bank of Italy, Economic Research and International Relations Area.
    3. Ngoie, Ruffin-Benoît M. & Ulungu, Berthold E.-L., 2013. "Choix social et préférence collective : analyse a posteriori de l’élection présidentielle de 2011 en République Démocratique du Congo [Social choice and collective value: A posteriori analysis of 2," MPRA Paper 64538, University Library of Munich, Germany, revised 08 Jan 2015.
    4. 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.
    5. Leo Katz & Alvaro Sandroni, 2020. "Limits on power and rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 507-521, March.
    6. Bezalel Peleg & Ron Holzman, 2017. "Representations of Political Power Structures by Strategically Stable Game Forms: A Survey," Games, MDPI, vol. 8(4), pages 1-17, October.
    7. Antonin Macé, 2017. "Voting with evaluations: characterizations of evaluative voting and range voting," Working Papers halshs-01222200, HAL.
    8. António Osório, 2017. "Judgement and ranking: living with hidden bias," Annals of Operations Research, Springer, vol. 253(1), pages 501-518, June.
    9. Igerseim, Herrade & Baujard, Antoinette & Laslier, Jean-François, 2016. "La question du vote. Expérimentations en laboratoire et In Situ," L'Actualité Economique, Société Canadienne de Science Economique, vol. 92(1-2), pages 151-189, Mars-Juin.
    10. Krishna K Ladha, 2012. "Aristotle’s Politics: On Constitutions, Justice, Laws and Stability," Working papers 104, Indian Institute of Management Kozhikode.
    11. Marcus Pivato, 2016. "Asymptotic utilitarianism in scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 431-458, August.
    12. 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.
    13. Mongin, Philippe, 2019. "Interview of Peter J. Hammond," CRETA Online Discussion Paper Series 50, Centre for Research in Economic Theory and its Applications CRETA.
    14. Richiardi Matteo G, 2009. "Should (and Could) We Ban Prescriptions?," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 9(1), pages 1-28, January.
    15. Abdelhalim El Ouafdi & Dominique Lepelley & Hatem Smaoui, 2020. "On the Condorcet efficiency of evaluative voting (and other voting rules) with trichotomous preferences," Annals of Operations Research, Springer, vol. 289(2), pages 227-241, June.
    16. Mark Sculpher & Karl Claxton, 2012. "Real Economics Needs to Reflect Real Decisions," PharmacoEconomics, Springer, vol. 30(2), pages 133-136, February.
    17. John Craven, 2023. "Self-designation and group allocation," Theory and Decision, Springer, vol. 94(1), pages 121-133, January.
    18. Salvador Barberà, 2003. "A Theorem on Preference Aggregation," Working Papers 166, Barcelona School of Economics.
    19. Mike Paulden & Karl Claxton, 2012. "Budget allocation and the revealed social rate of time preference for health," Health Economics, John Wiley & Sons, Ltd., vol. 21(5), pages 612-618, May.
    20. Lars-Gunnar Svensson & Pär Torstensson, 2008. "Strategy-proof allocation of multiple public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 181-196, February.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:64731. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.