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Borda voting is non-manipulable but cloning manipulation is possible

Author

Listed:
  • Islam, Jamal
  • Mohajan, Haradhan
  • Moolio, Pahlaj

Abstract

This paper deals with Borda count which is sincere voting system and originally proposed by French mathematician and philosopher Jeans-Charles Borda. In Borda count a defeated candidate can manipulate the election result in his favor in sincere way by introducing a candidate which is a clone of him and voters ranked this clone candidate immediately below him. In this situation Borda rule is strictly follows but manipulation is possible. The paper shows that this type of manipulation is vulnerable. Both single and simultaneous vulnerabilities of cloning manipulations are discussed with detail calculations and easier ways.

Suggested Citation

  • Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2011. "Borda voting is non-manipulable but cloning manipulation is possible," MPRA Paper 50848, University Library of Munich, Germany, revised 10 Jan 2012.
  • Handle: RePEc:pra:mprapa:50848
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    File URL: https://mpra.ub.uni-muenchen.de/50848/1/MPRA_paper_50848.pdf
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    References listed on IDEAS

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    1. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
    2. Truchon, Michel, 2008. "Borda and the maximum likelihood approach to vote aggregation," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 96-102, January.
    3. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Political Economy and Social Welfare with Voting Procedure," KASBIT Business Journals, Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 2, pages 42-66, December.
    4. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    5. Michael Dummett, 1998. "The Borda count and agenda manipulation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 289-296.
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    Cited by:

    1. repec:ksp:journ6:v:4:y:2017:i:3:p:234-243 is not listed on IDEAS
    2. Dany R. DOMBOU T., 2017. "How Borda voting rule can respect Arrow IIA and avoid cloning manipulation," Journal of Economics Bibliography, KSP Journals, vol. 4(3), pages 234-243, September.

    More about this item

    Keywords

    Borda scores; cloning manipulation; vulnerabilities in Borda cloning manipulations.;

    JEL classification:

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

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