IDEAS home Printed from
   My bibliography  Save this paper

Monotonic Incompatibility Between Electing and Ranking


  • Michel Balinski

    (Department of Economics, Ecole Polytechnique - Polytechnique - X - CNRS - Centre National de la Recherche Scientifique)

  • Andrew Jennings

    (Department of Mathematics and Statistics - ASU - Arizona State University [Tempe])

  • Rida Laraki

    (Department of Economics, Ecole Polytechnique - Polytechnique - X - CNRS - Centre National de la Recherche Scientifique)


Borda proposed a method that assigns points to each of the m candidates. Condorcet proposed a method that assigns points to each of the m! rankings of candidates. The first is more appropriate for electing, the second is more appropriate for ranking. Each satisfies a different type of monotonicity. These monotonicities are incompatible.

Suggested Citation

  • Michel Balinski & Andrew Jennings & Rida Laraki, 2008. "Monotonic Incompatibility Between Electing and Ranking," Working Papers hal-00339030, HAL.
  • Handle: RePEc:hal:wpaper:hal-00339030
    Note: View the original document on HAL open archive server:

    Download full text from publisher

    File URL:
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    1. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
    2. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
    3. Michel Balinski & Rida Laraki, 2006. "A Theory of Measuring, Electing and Ranking," Working Papers hal-00243040, HAL.
    4. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    Full references (including those not matched with items on IDEAS)


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

    Cited by:

    1. repec:dau:papers:123456789/15122 is not listed on IDEAS
    2. Roy, Sunanda & Wu, Kuan Chuen & Chandra, Abhijit, 2014. "Uncovering the "Will of the People": Heterogeneity and Polarization within electorates," Staff General Research Papers Archive 37330, Iowa State University, Department of Economics.
    3. Abhijit Chandra & Sunanda Roy, 2013. "On removing Condorcet effects from pairwise election tallies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1143-1158, April.
    4. Michel Balinski & Rida Laraki, 2010. "Judge:Don't Vote!," Working Papers hal-00536968, HAL.


    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:hal:wpaper:hal-00339030. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.