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Another strategy-proofness characterization of majority rule

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  • Powers, Robert C.
  • Wells, Flannery

Abstract

Campbell and Kelly (2015) proved that, for m≥4 alternatives and n≥3 individuals, majority rule is the only social choice function defined on the Condorcet domain that satisfies strategy-proofness, anonymity, and neutrality. They left open the question whether these three properties characterize majority rule when n is a multiple of four and m is equal to three. We prove their characterization does hold in this case and in the process we give another characterization of majority rule.

Suggested Citation

  • Powers, Robert C. & Wells, Flannery, 2023. "Another strategy-proofness characterization of majority rule," Mathematical Social Sciences, Elsevier, vol. 122(C), pages 42-49.
  • Handle: RePEc:eee:matsoc:v:122:y:2023:i:c:p:42-49
    DOI: 10.1016/j.mathsocsci.2023.02.001
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    References listed on IDEAS

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    1. John Weymark, 2011. "A unified approach to strategy-proofness for single-peaked preferences," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 529-550, December.
    2. Campbell, Donald E. & Kelly, Jerry S., 2015. "Anonymous, neutral, and strategy-proof rules on the Condorcet domain," Economics Letters, Elsevier, vol. 128(C), pages 79-82.
    3. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    4. Donald E. Campbell & Jerry S. Kelly, 2003. "A strategy-proofness characterization of majority rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(3), pages 557-568, October.
    5. Merrill, Lauren Nicole, 2011. "Parity dependence of a majority rule characterization on the Condorcet domain," Economics Letters, Elsevier, vol. 112(3), pages 259-261, September.
    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. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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