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On asymptotic strategy-proofness of the plurality and the run-off rules

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  • Arkadii Slinko

    (Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand)

Abstract

In this paper we prove that the plurality rule and the run-off procedure are asymptotically strategy-proof for any number of alternatives and that the proportion of profiles, at which a successful attempt to manipulate might take place, is in both cases bounded from above by $K/\sqrt n$, where n is the number of participating agents and K does not depend on n. We also prove that for the plurality rule the proportion of manipulable profiles is asymptotically bounded from below by $k/\sqrt n$, where k also does not depend on n.

Suggested Citation

  • Arkadii Slinko, 2002. "On asymptotic strategy-proofness of the plurality and the run-off rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(2), pages 313-324.
    • Handle: RePEc:spr:sochwe:v:19:y:2002:i:2:p:313-324
    Note: Received: 10 February 2000/Accepted: 19 October 2000
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    Cited by:

    1. Slinko, Arkadii, 2004. "How large should a coalition be to manipulate an election?," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 289-293, May.
    2. Núñez, Matías & Pivato, Marcus, 2019. "Truth-revealing voting rules for large populations," Games and Economic Behavior, Elsevier, vol. 113(C), pages 285-305.
    3. Arkadii Slinko, 2002. "On Asymptotic Strategy-Proofness of Classical Social Choice Rules," Theory and Decision, Springer, vol. 52(4), pages 389-398, June.
    4. M. Sanver, 2009. "Strategy-proofness of the plurality rule over restricted domains," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 461-471, June.
    5. Palash Dey & Y. Narahari, 2015. "Asymptotic Collusion-proofness of Voting Rules: The Case of Large Number of Candidates," Studies in Microeconomics, , vol. 3(2), pages 120-139, December.

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