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The likelihood of monotonicity paradoxes in run-off elections

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  • Lepelley, Dominique
  • Chantreuil, Frederic
  • Berg, Sven

Abstract

The likehood of monotonicity paradoxes in run-off elections
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Suggested Citation

  • Lepelley, Dominique & Chantreuil, Frederic & Berg, Sven, 1996. "The likelihood of monotonicity paradoxes in run-off elections," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 133-146, June.
    • Handle: RePEc:eee:matsoc:v:31:y:1996:i:3:p:133-146
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    References listed on IDEAS

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    1. William Gehrlein & Peter Fishburn, 1976. "Condorcet's paradox and anonymous preference profiles," Public Choice, Springer, vol. 26(1), pages 1-18, June.
    2. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    3. Gehrlein, William V., 1982. "Condorcet efficiency and constant scoring rules," Mathematical Social Sciences, Elsevier, vol. 2(2), pages 123-130, March.
    4. Lepelley, Dominique, 1993. "On the probability of electing the Condorcet," Mathematical Social Sciences, Elsevier, vol. 25(2), pages 105-116, February.
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    Cited by:

    1. Conal Duddy, 2017. "Geometry of run-off elections," Public Choice, Springer, vol. 173(3), pages 267-288, December.
    2. Dominique Lepelley & Hatem Smaoui, 2019. "Comparing Two Ways for Eliminating Candidates in Three-Alternative Elections Using Sequential Scoring Rules," Group Decision and Negotiation, Springer, vol. 28(4), pages 787-804, August.
    3. Umut Keskin & M. Remzi Sanver & H. Berkay Tosunlu, 2021. "Recovering non-monotonicity problems of voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(1), pages 125-141, January.
    4. Dominique Lepelley & Issofa Moyouwou & Hatem Smaoui, 2018. "Monotonicity paradoxes in three-candidate elections using scoring elimination rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 1-33, January.
    5. David McCune & Adam Graham-Squire, 2024. "Monotonicity anomalies in Scottish local government elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(1), pages 69-101, August.
    6. Lirong Xia, 2021. "Semi-Random Impossibilities of Condorcet Criterion," Papers 2107.06435, arXiv.org, revised Aug 2022.
    7. Joseph Ornstein & Robert Norman, 2014. "Frequency of monotonicity failure under Instant Runoff Voting: estimates based on a spatial model of elections," Public Choice, Springer, vol. 161(1), pages 1-9, October.
    8. Moyouwou, Issofa & Tchantcho, Hugue, 2017. "Asymptotic vulnerability of positional voting rules to coalitional manipulation," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 70-82.
    9. Umut Keskin & M. Remzi Sanver & H. Berkay Tosunlu, 2022. "Monotonicity violations under plurality with a runoff: the case of French presidential elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 305-333, August.
    10. Lirong Xia, 2021. "The Smoothed Satisfaction of Voting Axioms," Papers 2106.01947, arXiv.org.
    11. Hatem Smaoui & Dominique Lepelley & Issofa Moyouwou, 2016. "Borda elimination rule and monotonicity paradoxes in three-candidate elections," Economics Bulletin, AccessEcon, vol. 36(3), pages 1722-1728.
    12. Eric Kamwa & Vincent Merlin & Faty Mbaye Top, 2023. "Scoring Run-off Rules, Single-peaked Preferences and Paradoxes of Variable Electorate," Working Papers hal-03143741, HAL.
    13. Nicholas R. Miller, 2017. "Closeness matters: monotonicity failure in IRV elections with three candidates," Public Choice, Springer, vol. 173(1), pages 91-108, October.
    14. 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.
    15. David McCune & Jennifer Wilson, 2023. "Ranked-choice voting and the spoiler effect," Public Choice, Springer, vol. 196(1), pages 19-50, July.
    16. David McCune & Adam Graham-Squire, 2023. "Monotonicity Anomalies in Scottish Local Government Elections," Papers 2305.17741, arXiv.org, revised Oct 2023.

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