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On the Condorcet efficiency of evaluative voting (and other voting rules) with trichotomous preferences

Author

Listed:
  • Abdelhalim El Ouafdi

    (CEMOI - Centre d'Économie et de Management de l'Océan Indien - UR - Université de La Réunion)

  • Dominique Lepelley

    (CEMOI - Centre d'Économie et de Management de l'Océan Indien - UR - Université de La Réunion)

  • Hatem Smaoui

    (CEMOI - Centre d'Économie et de Management de l'Océan Indien - UR - Université de La Réunion)

Abstract

We investigate the propensity of evaluative voting (2, 1, 0) to fulfill Condorcet majority conditions in a framework where preferences are supposed to be trichotomous and only three candidates are in contention. In this framework, we also compare evaluative voting to other voting rules, including Borda rule, plurality rule and approval voting.

Suggested Citation

  • Abdelhalim El Ouafdi & Dominique Lepelley & Hatem Smaoui, 2020. "On the Condorcet efficiency of evaluative voting (and other voting rules) with trichotomous preferences," Post-Print hal-03543401, HAL.
    • Handle: RePEc:hal:journl:hal-03543401
    DOI: 10.1007/s10479-020-03591-y
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    References listed on IDEAS

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    1. Baujard, Antoinette & Gavrel, Frédéric & Igersheim, Herrade & Laslier, Jean-François & Lebon, Isabelle, 2018. "How voters use grade scales in evaluative voting," European Journal of Political Economy, Elsevier, vol. 55(C), pages 14-28.
    2. Duncan Black, 1976. "Partial justification of the Borda count," Public Choice, Springer, vol. 28(1), pages 1-15, December.
    3. Abdelhalim El Ouafdi & Dominique Lepelley & Hatem Smaoui, 2020. "Probabilities of electoral outcomes: from three-candidate to four-candidate elections," Theory and Decision, Springer, vol. 88(2), pages 205-229, March.
    4. Dan S. Felsenthal, 2012. "Review of Paradoxes Afflicting Procedures for Electing a Single Candidate," Studies in Choice and Welfare, in: Dan S. Felsenthal & Moshé Machover (ed.), Electoral Systems, chapter 0, pages 19-91, Springer.
    5. Dominique Lepelley & Ahmed Louichi & Hatem Smaoui, 2008. "On Ehrhart polynomials and probability calculations in voting theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 363-383, April.
    6. Antoinette Baujard & Herrade Igersheim & Isabelle Lebon & Frédéric Gavrel & Jean-François Laslier, 2014. "Who's favored by evaluative voting? An experiment conducted during the 2012 French presidential election," PSE-Ecole d'économie de Paris (Postprint) halshs-01113068, HAL.
    7. Mostapha Diss & Vincent Merlin & Fabrice Valognes, 2010. "On the Condorcet Efficiency of Approval Voting and Extended Scoring Rules for Three Alternatives," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 255-283, Springer.
    8. Wilson, Mark C. & Pritchard, Geoffrey, 2007. "Probability calculations under the IAC hypothesis," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 244-256, December.
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    10. Claude Hillinger, 2005. "The Case for Utilitarian Voting," Homo Oeconomicus, Institute of SocioEconomics, vol. 23, pages 295-321.
    11. Hatem Smaoui & Dominique Lepelley, 2013. "Le système de vote par note à trois niveaux : étude d'un nouveau mode de scrutin," Revue d'économie politique, Dalloz, vol. 123(6), pages 827-850.
    12. Antonin Macé, 2015. "Voting with Evaluations: When Should We Sum? What Should We Sum?," AMSE Working Papers 1544, Aix-Marseille School of Economics, France, revised 29 Oct 2015.
    13. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2013. "Vote par approbation, vote par note. Une expérimentation lors de l'élection présidentielle du 22 avril 2012," Revue économique, Presses de Sciences-Po, vol. 64(2), pages 345-356.
    14. Antoinette Baujard & Herrade Igersheim & Isabelle Lebon & Frédéric Gavrel & Jean-François Laslier, 2014. "Who's favored by evaluative voting? An experiment conducted during the 2012 French presidential election," Post-Print halshs-01113068, HAL.
    15. William V. Gehrlein & Dominique Lepelley, 2015. "The Condorcet Efficiency Advantage that Voter Indifference Gives to Approval Voting Over Some Other Voting Rules," Group Decision and Negotiation, Springer, vol. 24(2), pages 243-269, March.
    16. José Alcantud & Annick Laruelle, 2014. "Dis&approval voting: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 1-10, June.
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    19. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2013. "Who's Favored by Evaluative Voting? An Experiment Conducted During the 2012 French Presidential Election," Working Papers hal-00803024, HAL.
    20. William V. Gehrlein & Dominique Lepelley, 2011. "Voting Paradoxes and Group Coherence," Studies in Choice and Welfare, Springer, number 978-3-642-03107-6, June.
    21. Hillinger, Claude, 2004. "On the Possibility of Democracy and Rational Collective Choice," Discussion Papers in Economics 429, University of Munich, Department of Economics.
    22. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2013. "Approval Voting, Evaluation Voting [Vote par approbation, vote par note]," Post-Print hal-01755635, HAL.
    23. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2013. "Vote par approbation, vote par note : Une expérimentation lors des élections présidentielles du 22 avril 2012," Post-Print halshs-00758899, HAL.
    24. Jean-François Laslier & M. Remzi Sanver (ed.), 2010. "Handbook on Approval Voting," Studies in Choice and Welfare, Springer, number 978-3-642-02839-7, June.
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    Cited by:

    1. Eric Kamwa, 2023. "On Two Voting systems that combine approval and preferences: Fallback Voting and Preference Approval Voting," Working Papers hal-03614585, HAL.
    2. Abdelhalim El Ouafdi & Dominique Lepelley & Jérôme Serais & Hatem Smaoui, 2022. "Comparing the manipulability of approval, evaluative and plurality voting with trichotomous preferences," SN Business & Economics, Springer, vol. 2(8), pages 1-22, August.
    3. Eric Kamwa, 2023. "On two voting systems that combine approval and preferences: fallback voting and preference approval voting," Public Choice, Springer, vol. 196(1), pages 169-205, July.

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