Voting method based on approval voting and arithmetic mean
DOI:
https://doi.org/10.14419/ijamr.v9i1.30129Published:
2020-01-10Keywords:
Voting method – approval voting – arithmetic mean–Good compromiseAbstract
Voting plays a vital role in any society. Indeed the votes involve decision making especially and the more in the decision of group. Thanks to the opinions expressed by a group of people, an opinion representing the preference of the group is determined. But most often some voting methods seem to distance the result from a vote of the general opinion. The study of voting methods is based on the theory of social choice. For several years, in the literature on the theory of social choice, many theorists have contributed trying to find a representative voting method.
It seems that there is no totally satisfactory way of voting.
Thus we have tried, through this article, to design a voting method based on approval voting and the arithmetic mean that leads to good
compromise results.
In contrast to the other methods, the new method takes into account the choice of each voter and allows to obtain a result which represents the choice of the majority of the voters.
References
[1] Antoinette BAUJARD et al,†vote par approbation, vote par note, une expeÌrimentation lors de l’eÌlection preÌsidentielle du 22 avril 2012â€, revue
eÌconomique, vol.64, ( 2013), pp.345-356
[2] Antoinette BAUJARD, Herrade IGERSHEIM,â€ExpeÌrimentation du vote par note et du vote par approbation de l’eÌlection preÌsidentielle française du 22 avril 2007, UniversiteÌ de Provence-Aix-Marseille I, Rapport public du Centre dAnalyse StrateÌgique. 2007
[3] Hatem SMAOUI, Dominique LEPELLEY, “Le systeÌ€me de vote aÌ€ trois niveaux: Etude d’un nouveau mode de scrutinâ€, Revue d’eÌconomie
politique, (2013), vol.123, 827-850
[4] Herrade IGERSHEIM, Antoinette BAUJARD, Jean-François LASLIER,â€La question du vote. ExpeÌrimentations en laboratoire et In Situâ€, Working paper GATE (2016)
[5] Herrade IGERSHEIM, Antoinette BAJARD, Jean-François LASLIER, “ L’actualiteÌ eÌconomiqueâ€, Revue d’analyse eÌconomique, vol.92,no1-2, (2016), mars-juin
[6] Jorge Gonzalez SUITT, Axel GUYON , Thibault HENNION, Rida LARAKI, Xavier STARKLOFF, Sophie THIBAULT, Benjamin FAVREAU, “ Vers un systeÌ€me de vote plus juste?â€, cahier no 2014-20, septembre 2014
[7] Khaled JABEUR, Jean-Marc MARTEL, “Une meÌthode de choix collectif aÌ€ partir de systeÌ€mes relationnels de preÌfeÌrences (S.R.P.)â€, (2004)
[8] Michel BALINSKI,Rida LARAKI,â€Jugement majoritaire vs. vote majoritaireâ€, (2012), DeÌpartement d’eÌconomeÌtrie, Route de Saclay, 91128
PALAISEAU CEDEX (33) 169333033
[9] Michel TRUCHON, “Choix social et comiteÌs de seÌlection: le cas du patinage artistiqueâ€, UniversiteÌ Laval CIRANO,CIRPEE, (2002),
[10] Patrick BLANCHENAY, “Parodoxes de vote et modes de scrutin en Franceâ€, Ecole des hautes eÌtudes commerciales Majeure eÌconomie, (2004)
[11] Roderick J. WOOD, “Rapport de la commission du droit du Canada sur la reÌforme eÌlectoraleâ€, UniversiteÌ de l’Alberta, (2016)
[12] Ruffin-Benoı̂t M. NGOIE, Zoinabo SAVADOGO, Berthold E.-L.ULUNGU, “Median and average as tools for measuring, electing and Ranking: New propectsâ€, Fundamental Journal of Mathematics and Mathematical Sciences, vol.1, Issue 1, pages 9-30, 2014
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