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Majority judgment in an election with Borda majority count

Author

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  • Mohajan, Haradhan

Abstract

This paper describes aspects of the majority judgment in an election. The majority judgment is a method of election which is a new theory in social choice where voters judge candidates instead of ranking them. The paper emphasize on the works of Michel Balinski and Rida Laraki majority judgment in an election. In Arrow’s impossibility theorem of social choice theory, the voters have to give a strictly preference ordering over the alternatives and hence they can not express indifference of the candidates. In the process of majority judgment the voters can express much more information than the Arrow’s process does but it is not free from counter-intuitive results. The Borda majority count avoids some counter-intuitive results and an attempt has been taken here to highlight them. The paper discusses both the advantages and drawbacks of the majority judgment in an election. Sometimes tie arises in majority judgment and different processes of tie-breaking are discussed with theoretical and mathematical calculations.

Suggested Citation

  • Mohajan, Haradhan, 2011. "Majority judgment in an election with Borda majority count," MPRA Paper 50846, University Library of Munich, Germany, revised 15 Sep 2011.
  • Handle: RePEc:pra:mprapa:50846
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    File URL: https://mpra.ub.uni-muenchen.de/50846/1/MPRA_paper_50846.pdf
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    References listed on IDEAS

    as
    1. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Political Economy and Social Welfare with Voting Procedure," KASBIT Business Journals (KBJ), Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 2, pages 42-66, December.
    2. Kurrild-Klitgaard, Peter, 2001. "An Empirical Example of the Condorcet Paradox of Voting in a Large Electorate," Public Choice, Springer, vol. 107(1-2), pages 135-145, April.
    3. Brams, Steven J. & Fishburn, Peter C., 1978. "Approval Voting," American Political Science Review, Cambridge University Press, vol. 72(3), pages 831-847, September.
    4. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
    5. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2010. "Methods of voting system and manipulation of voting," MPRA Paper 50854, University Library of Munich, Germany, revised 06 May 2010.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. 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.

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    More about this item

    Keywords

    Majority voting; drawbacks in majority voting; manipulation of voting.;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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