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Manipulation of voting schemes with restricted beliefs

Author

Listed:
  • Boniface Mbih

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

  • Nicolas Gabriel Andjiga
  • Issofa Moyouwou

    (École normale supérieure [ENS] - Yaoundé 1)

Abstract

In this paper we define manipulation with restricted beliefs as the possibility for some voter to have an insincere preference ordering that dominates the sincere one within the given individual beliefs over other agents' preferences. We then show that all non-dictatorial voting schemes are manipulable in this sense, up to a given threshold.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Boniface Mbih & Nicolas Gabriel Andjiga & Issofa Moyouwou, 2008. "Manipulation of voting schemes with restricted beliefs," Post-Print halshs-00335072, HAL.
    • Handle: RePEc:hal:journl:halshs-00335072
    as

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    References listed on IDEAS

    as
    1. Bebchuk, Lucian A., 1980. "Ignorance and manipulation," Economics Letters, Elsevier, vol. 5(2), pages 119-123.
    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. Sengupta, Manimay, 1978. "On a Difficulty in the Analysis of Strategic Voting," Econometrica, Econometric Society, vol. 46(2), pages 331-343, March.
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    5. Pierre Favardin & Dominique Lepelley, 2006. "Some Further Results on the Manipulability of Social Choice Rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(3), pages 485-509, June.
    6. 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.
    7. Gardenfors, Peter, 1976. "Manipulation of social choice functions," Journal of Economic Theory, Elsevier, vol. 13(2), pages 217-228, October.
    8. Moulin, Herve, 1981. "Prudence versus sophistication in voting strategy," Journal of Economic Theory, Elsevier, vol. 24(3), pages 398-412, June.
    9. Prasanta K. Pattanaik, 1976. "Counter-threats and Strategic Manipulation under Voting Schemes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(1), pages 11-18.
    10. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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