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The Borda game

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  • Roy Gardner

Abstract

Recently, a number of authors have constructed axiomatic defences of Borda's rule [2, 4, 8], In every case, it Is assumed that voters mark their ballots honestly, in accordance with their preferences. That this assumption may be unrealistic was known to Borda himself [ij. Elsewhere • [3, 5], it has been shpwn how Borda's rule can reward misrepresented pref erences on the part of individual voters. This result is in the same spirit as, but not a consequence of, the Gibbard-Satterthwaite theorem [6, 7], since Borda's rule allows ties. This is in marked contrast to Condorcet's rule, where such misrepresentation is not rewarded.
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Suggested Citation

  • Roy Gardner, 1977. "The Borda game," Public Choice, Springer, vol. 30(1), pages 43-50, June.
    • Handle: RePEc:kap:pubcho:v:30:y:1977:i:1:p:43-50
    DOI: 10.1007/BF01718817
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    References listed on IDEAS

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    1. B. Fine & K. Fine, 1974. "Social Choice and Individual Rankings II," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(4), pages 459-475.
    2. 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.
    3. B. Fine & K. Fine, 1974. "Social Choice and Individual Ranking I," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(3), pages 303-322.
    4. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    Cited by:

    1. Barberà, Salvador & Coelho, Danilo, 2017. "Balancing the power to appoint officers," Games and Economic Behavior, Elsevier, vol. 101(C), pages 189-203.
    2. Gardner Roy, 1979. "Onymous consistent voting systems," CEPREMAP Working Papers (Couverture Orange) 7917, CEPREMAP.

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