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There are more strategy-proof procedures than you think

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  • Campbell, Donald E.
  • Graver, Jack
  • Kelly, Jerry S.

Abstract

With as few as eight individuals and five alternatives, there are 561, 304, 372, 286, 875, 579, 077, 983 strategy-proof social choice rules.

Suggested Citation

  • Campbell, Donald E. & Graver, Jack & Kelly, Jerry S., 2012. "There are more strategy-proof procedures than you think," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 263-265.
    • Handle: RePEc:eee:matsoc:v:64:y:2012:i:3:p:263-265
    DOI: 10.1016/j.mathsocsci.2012.05.001
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    References listed on IDEAS

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    1. Nitzan, Shmuel & Paroush, Jacob, 1981. "The characterization of decisive weighted majority rules," Economics Letters, Elsevier, vol. 7(2), pages 119-124.
    2. Campbell, Donald E. & Kelly, Jerry S., 2010. "Strategy-proofness and weighted voting," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 15-23, July.
    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. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    5. Steven J. Brams & Peter C. Fishburn, 1996. "Minimal winning coalitions in weighted-majority voting games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(4), pages 397-417.
    6. Jain, Satish K., 1988. "Characterization of monotonicity and neutrality for binary Paretian social decision rules," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 307-312, June.
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    Cited by:

    1. Brandt, Felix & Geist, Christian & Peters, Dominik, 2017. "Optimal bounds for the no-show paradox via SAT solving," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 18-27.
    2. Achille Basile & Anna De Simone & Ciro Tarantino, 2022. "A Note on Binary Strategy-Proof Social Choice Functions," Games, MDPI, vol. 13(6), pages 1-19, November.
    3. Achille Basile & Surekha Rao & K. P. S. Bhaskara Rao, 2020. "The structure of two-valued strategy-proof social choice functions with indifference," Papers 2002.06341, arXiv.org, revised Jul 2020.

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