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Exact results on manipulability of positional voting rules

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  • Geoffrey Pritchard
  • Mark Wilson

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  • Geoffrey Pritchard & Mark Wilson, 2007. "Exact results on manipulability of positional voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(3), pages 487-513, October.
    • Handle: RePEc:spr:sochwe:v:29:y:2007:i:3:p:487-513
    DOI: 10.1007/s00355-007-0216-5
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    References listed on IDEAS

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    1. Saari, Donald G, 1990. "Susceptibility to Manipulation," Public Choice, Springer, vol. 64(1), pages 21-41, January.
    2. Pierre Favardin & Dominique Lepelley, 2006. "Some Further Results on the Manipulability of Social Choice Rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(3), pages 485-509, June.
    3. Lepelley, Dominique & Mbih, Boniface, 1987. "The proportion of coalitionally unstable situations under the plurality rule," Economics Letters, Elsevier, vol. 24(4), pages 311-315.
    4. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    Citations

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    Cited by:

    1. Richard F. Potthoff, 2014. "Condorcet Completion Methods that Inhibit Manipulation through Exploiting Knowledge of Electorate Preferences," Games, MDPI, vol. 5(4), pages 1-30, October.
    2. James Green-Armytage, 2014. "Strategic voting and nomination," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 111-138, January.
    3. José Carlos R., Alcantud & Rocío, de Andrés & José Manuel, Cascón, 2011. "Measurement of consensus with a reference," MPRA Paper 32155, University Library of Munich, Germany.
    4. Lirong Xia, 2022. "The Impact of a Coalition: Assessing the Likelihood of Voter Influence in Large Elections," Papers 2202.06411, arXiv.org, revised Jun 2023.
    5. Yuliya Veselova, 2016. "The difference between manipulability indices in the IC and IANC models," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 609-638, March.
    6. Aleskerov, Fuad & Karabekyan, Daniel & Sanver, M. Remzi & Yakuba, Vyacheslav, 2012. "On the manipulability of voting rules: The case of 4 and 5 alternatives," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 67-73.
    7. Diss, Mostapha & Tsvelikhovskiy, Boris, 2021. "Manipulable outcomes within the class of scoring voting rules," Mathematical Social Sciences, Elsevier, vol. 111(C), pages 11-18.
    8. Eric Kamwa & Issofa Moyouwou, 2021. "Susceptibility to Manipulation by Sincere Truncation: The Case of Scoring Rules and Scoring Runoff Systems," Studies in Choice and Welfare, in: Mostapha Diss & Vincent Merlin (ed.), Evaluating Voting Systems with Probability Models, pages 275-295, Springer.
    9. Krzysztof Kontek & Honorata Sosnowska, 2020. "Specific Tastes or Cliques of Jurors? How to Reduce the Level of Manipulation in Group Decisions?," Group Decision and Negotiation, Springer, vol. 29(6), pages 1057-1084, December.
    10. Gehrlein, William V. & Moyouwou, Issofa & Lepelley, Dominique, 2013. "The impact of voters’ preference diversity on the probability of some electoral outcomes," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 352-365.
    11. Eric Kamwa, 2022. "Scoring rules, ballot truncation, and the truncation paradox," Public Choice, Springer, vol. 192(1), pages 79-97, July.
    12. Moyouwou, Issofa & Tchantcho, Hugue, 2017. "Asymptotic vulnerability of positional voting rules to coalitional manipulation," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 70-82.
    13. James Green-Armytage & T. Tideman & Rafael Cosman, 2016. "Statistical evaluation of voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 183-212, January.
    14. Yuliya A. Veselova, 2020. "Does Incomplete Information Reduce Manipulability?," Group Decision and Negotiation, Springer, vol. 29(3), pages 523-548, June.
    15. Eric Kamwa & Issofa Moyouwou, 2019. "Susceptibility to Manipulation by Sincere Truncation : the Case of Scoring Rules and Scoring Runoff Systems," Working Papers hal-02185965, HAL.
    16. Eric Kamwa, 2022. "Scoring Rules, Ballot Truncation, and the Truncation Paradox," Working Papers hal-03632662, HAL.
    17. Fuad Aleskerov & Daniel Karabekyan & M. Sanver & Vyacheslav Yakuba, 2011. "An individual manipulability of positional voting rules," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 431-446, December.
    18. Pritchard, Geoffrey & Wilson, Mark C., 2009. "Asymptotics of the minimum manipulating coalition size for positional voting rules under impartial culture behaviour," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 35-57, July.
    19. Diss, Mostapha & Louichi, Ahmed & Merlin, Vincent & Smaoui, Hatem, 2012. "An example of probability computations under the IAC assumption: The stability of scoring rules," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 57-66.
    20. Maksim Gladyshev, 2019. "Vulnerability Of Voting Paradoxes As A Criteria For Voting Procedure Selection," HSE Working papers WP BRP 70/PS/2019, National Research University Higher School of Economics.
    21. Lederer, Patrick, 2024. "Bivariate scoring rules: Unifying the characterizations of positional scoring rules and Kemeny's rule," Journal of Economic Theory, Elsevier, vol. 218(C).
    22. Pritchard, Geoffrey & Reyhani, Reyhaneh & Wilson, Mark C., 2013. "Power measures derived from the sequential query process," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 174-180.
    23. Karabekyan, D., 2022. "On the stability of results for aggregation procedures," Journal of the New Economic Association, New Economic Association, vol. 57(5), pages 24-37.
    24. Yuliya A. Veselova, 2016. "Does Incomplete Information Reduce Manipulability?," HSE Working papers WP BRP 152/EC/2016, National Research University Higher School of Economics.
    25. Eric Kamwa, 2021. "To what extent does the model of processing sincereincomplete rankings affect the likelihood of the truncation paradox?," Working Papers hal-02879390, HAL.

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