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The Dodgson ranking and its relation to Kemeny’s method and Slater’s rule

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  • Christian Klamler

Abstract

In this paper we provide a binary extension of Dodgson’s non-binary preference aggregation rule. This new aggregation rule is then compared to two other rules which, as Dodgson’s rule, are also explicitly based on distance functions, namely Kemeny’s and Slater’s rule. It is shown that the alternative which is top ranked by any of those rules can occur at any position in the Dodgson ranking. Copyright Springer-Verlag 2004

Suggested Citation

  • Christian Klamler, 2004. "The Dodgson ranking and its relation to Kemeny’s method and Slater’s rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 91-102, August.
    • Handle: RePEc:spr:sochwe:v:23:y:2004:i:1:p:91-102
    DOI: 10.1007/s00355-003-0238-6
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    Citations

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    Cited by:

    1. Klamler, Christian, 2004. "The Dodgson ranking and the Borda count: a binary comparison," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 103-108, July.
    2. Burak Can & Mohsen Pourpouneh & Ton Storcken, 2022. "An axiomatic re-characterization of the Kemeny rule," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 447-467, September.
    3. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2020. "On Some k -scoring Rules for Committee Elections: Agreement and Condorcet Principle," Revue d'économie politique, Dalloz, vol. 130(5), pages 699-725.
    4. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2019. "On some k-scoring rules for committee elections: agreement and Condorcet Principle," Working Papers hal-02147735, HAL.
    5. Irène Charon & Olivier Hudry, 2010. "An updated survey on the linear ordering problem for weighted or unweighted tournaments," Annals of Operations Research, Springer, vol. 175(1), pages 107-158, March.
    6. Christian Klamler, 2005. "On the Closeness Aspect of Three Voting Rules: Borda – Copeland – Maximin," Group Decision and Negotiation, Springer, vol. 14(3), pages 233-240, May.
    7. Hannu Nurmi, 2004. "A Comparison of Some Distance-Based Choice Rules in Ranking Environments," Theory and Decision, Springer, vol. 57(1), pages 5-24, August.
    8. 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).
    9. Hannu Nurmi, 2014. "Are we done with preference rankings? If we are, then what?," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(4), pages 63-74.
    10. Cascón, J.M. & González-Arteaga, T. & de Andrés Calle, R., 2019. "Reaching social consensus family budgets: The Spanish case," Omega, Elsevier, vol. 86(C), pages 28-41.
    11. repec:ebl:ecbull:v:4:y:2003:i:8:p:1-7 is not listed on IDEAS
    12. Burak Can & Mohsen Pourpouneh & Ton Storcken, 2021. "An axiomatic characterization of the Slater rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 835-853, May.
    13. Christian Klamler, 2003. "A comparison of the Dodgson method and the Copeland rule," Economics Bulletin, AccessEcon, vol. 4(8), pages 1-7.
    14. Ariel D. Procaccia & Michal Feldmany & Jeffrey S. Rosenschein, 2007. "Approximability and Inapproximability of Dodgson and Young Elections," Discussion Paper Series dp466, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    15. Christian Klamler, 2003. "Kemeny's rule and Slater''s rule: A binary comparison," Economics Bulletin, AccessEcon, vol. 4(35), pages 1-7.
    16. Lamboray, Claude, 2007. "A comparison between the prudent order and the ranking obtained with Borda's, Copeland's, Slater's and Kemeny's rules," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 1-16, July.
    17. Ariel D Procaccia & Michal Feldmany & Jeffrey S Rosenschein, 2007. "Approximability and Inapproximability of Dodgson and Young Elections," Levine's Bibliography 122247000000001616, UCLA Department of Economics.
    18. repec:ebl:ecbull:v:4:y:2003:i:35:p:1-7 is not listed on IDEAS

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