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How Borda voting rule can respect Arrow IIA and avoid Cloning manipulation

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  • DOMBOU T., Dany R.

Abstract

This paper proposes a new formulation of the Borda rule in order to deal with the problem of cloning manipulation. This new Borda voting specification will be named: Dynamic Borda Voting (DBV) and it satisfies Arrow's IIA condition. The calculations, propositions with proof and explanations are made to show the effectiveness of this method. From DBV, the paper presents a method to measure and quantify the magnitude of the shock due to change in irrelevant alternatives over a scale moving from 0 to 100.

Suggested Citation

  • DOMBOU T., Dany R., 2017. "How Borda voting rule can respect Arrow IIA and avoid Cloning manipulation," MPRA Paper 80608, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:80608
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    References listed on IDEAS

    as
    1. Virginie Béhue & Pierre Favardin & Dominique Lepelley, 2009. "La manipulation stratégique des règles de vote : une étude expérimentale," Recherches économiques de Louvain, De Boeck Université, vol. 75(4), pages 503-516.
    2. Martin Barbie & Clemens Puppe & Attila Tasnádi, 2006. "Non-manipulable domains for the Borda count," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(2), pages 411-430, January.
    3. Mostapha Diss & Abdelmonaim Tlidi, 2018. "Another perspective on Borda’s paradox," Theory and Decision, Springer, vol. 84(1), pages 99-121, January.
    4. Aki Lehtinen, 2007. "The Borda rule is also intended for dishonest men," Public Choice, Springer, vol. 133(1), pages 73-90, October.
    5. Saari, Donald G. & McIntee, Tomas J., 2013. "Connecting pairwise and positional election outcomes," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 140-151.
    6. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    7. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Voting rules; Arrow IIA; Cloning manipulation;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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