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A note on Nanson's rule

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  • Emerson Niou

Abstract

E.J. Nanson, in 1883, proposed a voting rule designed mainly to select the Condorcet winner. Unfortunately, much of the collective choice literature has misstated Nanson's rule. This note shows that the misstated versions of the rule and Nanson's actual rule can yield different outcomes, and it provides a counter example, which shows that Nanson's rule, although it satisfies the strong Condorcet condition, does not satisfy the weak Condorcet condition. Copyright Martinus Nijhoff Publishers 1987

Suggested Citation

  • Emerson Niou, 1987. "A note on Nanson's rule," Public Choice, Springer, vol. 54(2), pages 191-193, January.
    • Handle: RePEc:kap:pubcho:v:54:y:1987:i:2:p:191-193
    DOI: 10.1007/BF00123006
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    Cited by:

    1. Diss, Mostapha & Dougherty, Keith & Heckelman, Jac C., 2023. "When ties are possible: Weak Condorcet winners and Arrovian rationality," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 128-136.
    2. Iain McLean, 2015. "The strange history of social choice," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 2, pages 15-34, Edward Elgar Publishing.
    3. Wesley H. Holliday & Eric Pacuit, 2021. "Measuring Violations of Positive Involvement in Voting," Papers 2106.11502, arXiv.org.
    4. Florian Brandl & Dominik Peters, 2019. "An axiomatic characterization of the Borda mean rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 685-707, April.
    5. Dan Felsenthal & Nicolaus Tideman, 2014. "Weak Condorcet winner(s) revisited," Public Choice, Springer, vol. 160(3), pages 313-326, September.
    6. Dan S. Felsenthal & Hannu Nurmi, 2018. "Monotonicity Violations by Borda’s Elimination and Nanson’s Rules: A Comparison," Group Decision and Negotiation, Springer, vol. 27(4), pages 637-664, August.
    7. Iain McLean, 2015. "The strange history of social choice, and the contribution of the Public Choice Society to its fifth revival," Public Choice, Springer, vol. 163(1), pages 153-165, April.

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