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The Copeland Method I; Relationships and the Dictionary

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  • Vincent R. Merlin
  • Donald G. Saari

Abstract

A central political and decision science issue is to understand how election outcomes can change with the choice of a procedure or the slate of candidates. These questions are answered for the important Copeland method (CM) where, with a geometric approach, we characterize all relationships among the rankings of positional voting methods and the CM. Then, we characterize all ways CM rankings can vary as candidates enter or leave the election. In this manner new CM strengths and flaws are detected.

Suggested Citation

  • Vincent R. Merlin & Donald G. Saari, "undated". "The Copeland Method I; Relationships and the Dictionary," Discussion Papers 1111, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1111
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    Cited by:

    1. 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.
    2. Le Breton, Michel & Truchon, Michel, 1997. "A Borda measure for social choice functions," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 249-272, October.
    3. Channing Arndt & Azhar M. Hussain & Vincenzo Salvucci & Finn Tarp & Lars Peter Østerdal, 2016. "Poverty Mapping Based on First‐Order Dominance with an Example from Mozambique," Journal of International Development, John Wiley & Sons, Ltd., vol. 28(1), pages 3-21, January.
    4. J.C.R. Alcantud & R. de Andrés Calle & J.M. Cascón, 2013. "Consensus and the Act of Voting," Studies in Microeconomics, , vol. 1(1), pages 1-22, June.
    5. 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.
    6. Truchon, Michel, 2004. "Aggregation of Rankings in Figure Skating," Cahiers de recherche 0402, Université Laval - Département d'économique.
    7. Kamwa, Eric & Merlin, Vincent, 2015. "Scoring rules over subsets of alternatives: Consistency and paradoxes," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 130-138.
    8. Daniel Eckert & Christian Klamler & Johann Mitlöhner & Christian Schlötterer, 2006. "A distance-based comparison of basic voting rules," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 14(4), pages 377-386, December.
    9. Michel Balinski & Rida Laraki, 2014. "Judge: Don't Vote !," Operations Research, INFORMS, vol. 62(3), pages 483-511, June.
    10. Channing Arndt & Azhar M. Hussain & Vincenzo Salvucci & Finn Tarp & Lars Peter Østerdal, 2016. "Poverty Mapping Based on First‐Order Dominance with an Example from Mozambique," Journal of International Development, John Wiley & Sons, Ltd., vol. 28(1), pages 3-21, January.
    11. Merlin, V. & Tataru, M. & Valognes, F., 2000. "On the probability that all decision rules select the same winner," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 183-207, March.
    12. Oleksandr Didkovskyi & Giovanni Azzone & Alessandra Menafoglio & Piercesare Secchi, 2021. "Social and material vulnerability in the face of seismic hazard: An analysis of the Italian case," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(4), pages 1549-1577, October.
    13. Michael Ackerman & Sul-Young Choi & Peter Coughlin & Eric Gottlieb & Japheth Wood, 2013. "Elections with partially ordered preferences," Public Choice, Springer, vol. 157(1), pages 145-168, October.
    14. Bossert, Walter, 1998. "Welfarism and rationalizability in allocation problems with indivisibilities1," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 133-150, March.
    15. Josep Colomer, 2013. "Ramon Llull: from ‘Ars electionis’ to social choice theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 317-328, February.
    16. Flavio Trojan & Danielle Morais, 2015. "Maintenance Management Decision Model for Reduction of Losses in Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(10), pages 3459-3479, August.

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