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Dis&approval voting: a characterization

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  • José Alcantud
  • Annick Laruelle

Abstract

The voting rule considered in this paper belongs to a large class of voting systems, called “range voting” or “utilitarian voting”, where each voter rates each candidate with the help of a given evaluation scale and the winner is the candidate with the highest total score. In approval voting the evaluation scale only consists of two levels: 1 (approval) and 0 (non approval). However non approval may mean disapproval or just indifference or even absence of sufficient knowledge for evaluating the candidate. In this paper we propose a characterization of a rule (that we refer to as dis&approval voting) that allows for a third level in the evaluation scale. The three levels have the following interpretation: 1 means approval, 0 means indifference, abstention or ‘do not know’, and $$-1$$ - 1 means disapproval. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • 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.
  • Handle: RePEc:spr:sochwe:v:43:y:2014:i:1:p:1-10
    DOI: 10.1007/s00355-013-0766-7
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    1. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2012. "Compte-rendu de l’expérimentation des votes par approbation et par note lors des élections présidentielles françaises le 22 avril 2012 à Saint-Etienne, Strasbourg et Louvigny," Working Papers 1220, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    2. Steven J. Brams & Peter C. Fishburn, 2010. "Going from Theory to Practice: The Mixed Success of Approval Voting," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 19-37, Springer.
    3. Hillinger, Claude, 2004. "Voting and the Cardinal Aggregation of Judgments," Discussion Papers in Economics 353, University of Munich, Department of Economics.
    4. Antoinette Baujard & Herrade Igersheim, 2011. "Framed-field Experiment on Approval Voting and Evaluation Voting. Some Teachings to Reform the French Presidential Electoral System," Studies in Public Choice, in: Bernard Dolez & Bernard Grofman & Annie Laurent (ed.), In Situ and Laboratory Experiments on Electoral Law Reform, chapter 0, pages 69-89, Springer.
    5. Carlos Alós-Ferrer, 2006. "A Simple Characterization of Approval Voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 621-625, December.
    6. Yilmaz, Mustafa R., 1999. "Can we improve upon approval voting?," European Journal of Political Economy, Elsevier, vol. 15(1), pages 89-100, March.
    7. Biung-Ghi Ju, 2010. "Collective Choice for Simple Preferences," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 41-90, Springer.
    8. Gaertner, Wulf & Xu, Yongsheng, 2012. "A general scoring rule," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 193-196.
    9. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    10. Biung-Ghi Ju, 2005. "An efficiency characterization of plurality social choice on simple preference domains," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(1), pages 115-128, July.
    11. Antoinette Baujard & Herrade Igersheim, 2011. "A Framed-field experiment on Approval voting and Evaluation voting," Post-Print halshs-00564256, HAL.
    12. Yongsheng Xu, 2010. "Axiomatizations of Approval Voting," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 91-102, Springer.
    13. Francisco Arcelus & Gary Mauser & Z. Spindler, 1978. "The right to vote no: revising the voting system and resuscitating the F-Y voter," Public Choice, Springer, vol. 33(4), pages 67-83, December.
    14. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
    15. Claude Hillinger, 2005. "The Case for Utilitarian Voting," Homo Oeconomicus, Institute of SocioEconomics, vol. 23, pages 295-321.
    16. Aleskerov, Fuad & Yakuba, Vyacheslav & Yuzbashev, Dmitriy, 2007. "A `threshold aggregation' of three-graded rankings," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 106-110, January.
    17. Brams, Steven J. & Fishburn, Peter C., 1978. "Approval Voting," American Political Science Review, Cambridge University Press, vol. 72(3), pages 831-847, September.
    18. Jean-François Laslier & M. Remzi Sanver (ed.), 2010. "Handbook on Approval Voting," Studies in Choice and Welfare, Springer, number 978-3-642-02839-7, December.
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