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The Copeland method (*)

Author

Listed:
  • Donald G. Saari

    (Department of Mathematics, Northwestern University. Evanston, IL 60208, USA)

  • Vincent R. Merlin

    (C.R.E.M.E., Université de Caen, 14032 Caen, FRANCE)

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

  • Donald G. Saari & Vincent R. Merlin, 1996. "The Copeland method (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 51-76.
    • Handle: RePEc:spr:joecth:v:8:y:1996:i:1:p:51-76
    Note: Received: December 22, 1994
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    Citations

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    Cited by:

    1. Laslier, Jean-Francois, 1996. "Rank-based choice correspondences," Economics Letters, Elsevier, vol. 52(3), pages 279-286, September.
    2. 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.
    3. Vincent Merlin & Jörg Naeve, 2000. "Implementation of Social Choice Functions via Demanding Equilibria," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 191/2000, Department of Economics, University of Hohenheim, Germany, revised 25 Sep 2001.
    4. Le Breton, Michel & Truchon, Michel, 1997. "A Borda measure for social choice functions," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 249-272, October.
    5. 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.
    6. 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.
    7. 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.
    8. Truchon, Michel, 2004. "Aggregation of Rankings in Figure Skating," Cahiers de recherche 0402, Université Laval - Département d'économique.
    9. 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.
    10. 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.
    11. Xingchun Li & Wei He & Meijin Du & Jin Zheng & Xianyuan Du & Yu Li, 2021. "Design of a Microbial Remediation Inoculation Program for Petroleum Hydrocarbon Contaminated Sites Based on Degradation Pathways," IJERPH, MDPI, vol. 18(16), pages 1-18, August.
    12. Michel Balinski & Rida Laraki, 2014. "Judge: Don't Vote !," Operations Research, INFORMS, vol. 62(3), pages 483-511, June.
    13. 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.
    14. 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.
    15. 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.
    16. Benczur, Peter & Joossens, Elisabeth & Manca, Anna Rita & Menyhert, Balint & Zec, Slavica, 2020. "How resilient are the European regions? Evidence from the societal response to the 2008 financial crisis," JRC Research Reports JRC121554, Joint Research Centre.
    17. 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.
    18. Giora Slutzki & Oscar Volij, 2006. "Scoring of web pages and tournaments—axiomatizations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(1), pages 75-92, January.
    19. Hongrui Wang & Linlin Fan & Yuan Liang & Cheng Wang, 2018. "An integrated approach for water scarcity evaluation—a case study of Yunnan, China," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 20(1), pages 109-127, February.
    20. Bossert, Walter, 1998. "Welfarism and rationalizability in allocation problems with indivisibilities1," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 133-150, March.
    21. 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.
    22. 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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