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Strategic Manipulation in Committees Using the Plurality Rule: Alternative Concepts and Frequency Calculations

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  • Dominique Lepelley

    (University of Caen)

  • Boniface Mbih

    (University of Caen)

Abstract

This paper suggests an evaluation of the plurality rule according to how much it can be manipulated by individuals. We analyze strategic voting with reference not only to the usual notion of Nash equilibrium but also to some weaknesses of this notion, depending on the assumptions about how the individual agents choose their strategies. We provide two types of results for each concept of equilibrium: First, we give necessary and sufficient conditions for a profile to be an equilibrium when the plurality rule is used; and second, we present formulas giving the exact frequencies of unstable situations in the three-alternative case.

Suggested Citation

  • Dominique Lepelley & Boniface Mbih, 1997. "Strategic Manipulation in Committees Using the Plurality Rule: Alternative Concepts and Frequency Calculations," Group Decision and Negotiation, Springer, vol. 6(2), pages 119-138, March.
    • Handle: RePEc:spr:grdene:v:6:y:1997:i:2:d:10.1023_a:1008623627332
    DOI: 10.1023/A:1008623627332
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    References listed on IDEAS

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    1. Elisha A. Pazner & Eugene Wesley, 1978. "Cheatproofness Properties of the Plurality Rule in Large Societies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 85-91.
    2. Shmuel Nitzan, 1985. "The vulnerability of point-voting schemes to preference variation and strategic manipulation," Public Choice, Springer, vol. 47(2), pages 349-370, January.
    3. 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.
    4. Dutta, Bhaskar & Pattanaik, Prasanta K, 1978. "On Nicely Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 163-170, January.
    5. Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-161, January.
    6. 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. Boniface Mbih & Issofa Moyouwou, 2008. "Violations of Independence under Amendment and Plurality Rules with Anonymous Voters," Group Decision and Negotiation, Springer, vol. 17(4), pages 287-302, July.

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