New Innovative Method in the Field of Social Choice Theory

Zoïnabo Savadogo; Sougoursi Jean Yves Zaré; Wambie Zongo; Somdouda Sawadogo; Blaise Somé

doi:doi:10.11648/j.pamj.20211006.11

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New Innovative Method in the Field of Social Choice Theory

Zoïnabo Savadogo, Sougoursi Jean Yves Zaré, Wambie Zongo, Somdouda Sawadogo, Blaise Somé

Published in Pure and Applied Mathematics Journal (Volume 10, Issue 6)

Received: 22 October 2021 Accepted: 19 November 2021 Published: 27 November 2021

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Abstract

Social choice theory includes the study of voting methods. In the literature on social choice theory many methods exist, the main objective of all these methods is the determination of a good method. However, many of these methods give controversial results which often lead to disputes. It should also be noted that sometimes, regardless of the method used, there are people who are not ready to accept the results given by the ballot box. The ideal would be to find a method with good properties, because it seems that there are no completely satisfactory methods. Since the goal of a voting method is to reconcile several points of view into a general interest, one should focus on the properties. The geometric mean does not lead to a compensation of weak criteria by stronger ones as it is the case with the arithmetic mean. Indeed, by using the geometric mean, even if only one criterion is very weak and the others are very strong, a candidate may not be well ranked; moreover, assent voting is very well appreciated in the literature by many authors and also generates huge opportunities. This justifies our choice in this work to combine geometric mean and assent voting to develop a method with good properties.

Published in	Pure and Applied Mathematics Journal (Volume 10, Issue 6)
DOI	10.11648/j.pamj.20211006.11
Page(s)	121-126
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

New Method, Innovative, Social Choice Theory

References

[1]	Antoinette Baujard et al: vote par approbation, vote par note, une expérimentation lors de l’élection présidentielle du 22 avril 2012, revue économique 2013/2-vol. 64 pages 345 à 356.
[2]	Antoinette BAUJARD, Herrade IGERSHEIM: Expérimentation du vote par note et du vote par approbation de l’élection présidentielle française du 22 avril 2007, Rapport final, Antoinette BAUJARD, CREM, Université de Caen-Basse-Normandie; Herrade IGERSHEIM, CNRS et CEPERC, Université de Provence-Aix-Marseille I, Rapport public du Centre dŠAnalyse Stratégique. 2007. 2007.
[3]	Hatem SMAOUI, Dominique LEPELLEY: Le système de vote à trois niveaux: Etude d’un nouveau mode de scrutin, Dalloz «Revue d’économie politique» 2013, 6 vol. 123, pages 827 à 850 ISSN 0373-2630.
[4]	Herrade IGERSHEIM, Antoinette BAUJARD, Jean-François LASLIER: La question du vote. Expérimentations en laboratoire et In Situ., Working paper GATE 2016-33. 2016..
[5]	Herrade IGERSHEIM, Antoinette BAJARD, Jean-François LASLIER: L’actualité économique, Revue d’analyse économique, vol. 92, no1-2, mars-juin 2016.
[6]	Jorge GONZALEZ SUITT, Axel GUYON, Thibault HENNION, Rida LARAKI, Xavier STARKLOFF, Sophie THIBAULT, Benjamin FAVREAU: Vers un système de vote plus juste?, cahier no 2014-20, septembre 2014.
[7]	Khaled JABEUR, Jean-Marc MARTEL: Une méthode de choix collectif à partir de systèmes relationnels de préférences (S. R. P.), ISBN-2-89524-202-X, 04-2004.
[8]	Michel BALINSKI, Rida LARAKI, Jugement majoritaire vs. vote majoritaire, cahier no 2012-37, Département d’économétrie, Route de Saclay, 91128 PALAISEAU CEDEX (33) 169333033.
[9]	Michel TRUCHON: Choix social et comités de sélection: le cas du patinage artistique, Université Laval CIRANO, CIRPEE Novembre 2002, ISSN 1701-9990, 2002 RB -02.
[10]	Patrick BLANCHENAY: Parodoxes de vote et modes de scrutin en France, Ecole des hautes études commerciales Majeure économie, Mai 2004, sous la direction de Hervé CRES.
[11]	Ruffin-Benoît M. NGOIE, Zoinabo Savadogo, Berthold E.-L. ULUNGU: Median and average as tools for measuring, electing and Ranking: New propects, Fundamental Journal of Mathematics and Mathematical Sciences, vol. 1, Issue 1, pages 9-30, 2014.
[12]	M. Balinski & R. Laraki (2010). Majority Judgment. Measuring, ranking and Electing MIT. ISBN 978-0-262-01513-4
[13]	Balinski M. and R. Laraki (2007) «Election by Majority Judgment: Experimental Evidence». Cahier du Laboratoire d’Econométrie de l’Ecole Polytechnique 2007-28.
[14]	Manzoor Ahmed Zahid (2012). A new framework for elections. Shaker Publishing.
[15]	Hillinger, C (2004a). On the possibility of democracy and rational collective choice. Discussion Paper 2004- 21, University of Munich.

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APA Style

Zoïnabo Savadogo, Sougoursi Jean Yves Zaré, Wambie Zongo, Somdouda Sawadogo, Blaise Somé. (2021). New Innovative Method in the Field of Social Choice Theory. Pure and Applied Mathematics Journal, 10(6), 121-126. https://doi.org/10.11648/j.pamj.20211006.11

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ACS Style

Zoïnabo Savadogo; Sougoursi Jean Yves Zaré; Wambie Zongo; Somdouda Sawadogo; Blaise Somé. New Innovative Method in the Field of Social Choice Theory. Pure Appl. Math. J. 2021, 10(6), 121-126. doi: 10.11648/j.pamj.20211006.11

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AMA Style

Zoïnabo Savadogo, Sougoursi Jean Yves Zaré, Wambie Zongo, Somdouda Sawadogo, Blaise Somé. New Innovative Method in the Field of Social Choice Theory. Pure Appl Math J. 2021;10(6):121-126. doi: 10.11648/j.pamj.20211006.11

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@article{10.11648/j.pamj.20211006.11,
  author = {Zoïnabo Savadogo and Sougoursi Jean Yves Zaré and Wambie Zongo and Somdouda Sawadogo and Blaise Somé},
  title = {New Innovative Method in the Field of Social Choice Theory},
  journal = {Pure and Applied Mathematics Journal},
  volume = {10},
  number = {6},
  pages = {121-126},
  doi = {10.11648/j.pamj.20211006.11},
  url = {https://doi.org/10.11648/j.pamj.20211006.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20211006.11},
  abstract = {Social choice theory includes the study of voting methods. In the literature on social choice theory many methods exist, the main objective of all these methods is the determination of a good method. However, many of these methods give controversial results which often lead to disputes. It should also be noted that sometimes, regardless of the method used, there are people who are not ready to accept the results given by the ballot box. The ideal would be to find a method with good properties, because it seems that there are no completely satisfactory methods. Since the goal of a voting method is to reconcile several points of view into a general interest, one should focus on the properties. The geometric mean does not lead to a compensation of weak criteria by stronger ones as it is the case with the arithmetic mean. Indeed, by using the geometric mean, even if only one criterion is very weak and the others are very strong, a candidate may not be well ranked; moreover, assent voting is very well appreciated in the literature by many authors and also generates huge opportunities. This justifies our choice in this work to combine geometric mean and assent voting to develop a method with good properties.},
 year = {2021}
}

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TY  - JOUR
T1  - New Innovative Method in the Field of Social Choice Theory
AU  - Zoïnabo Savadogo
AU  - Sougoursi Jean Yves Zaré
AU  - Wambie Zongo
AU  - Somdouda Sawadogo
AU  - Blaise Somé
Y1  - 2021/11/27
PY  - 2021
N1  - https://doi.org/10.11648/j.pamj.20211006.11
DO  - 10.11648/j.pamj.20211006.11
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 121
EP  - 126
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20211006.11
AB  - Social choice theory includes the study of voting methods. In the literature on social choice theory many methods exist, the main objective of all these methods is the determination of a good method. However, many of these methods give controversial results which often lead to disputes. It should also be noted that sometimes, regardless of the method used, there are people who are not ready to accept the results given by the ballot box. The ideal would be to find a method with good properties, because it seems that there are no completely satisfactory methods. Since the goal of a voting method is to reconcile several points of view into a general interest, one should focus on the properties. The geometric mean does not lead to a compensation of weak criteria by stronger ones as it is the case with the arithmetic mean. Indeed, by using the geometric mean, even if only one criterion is very weak and the others are very strong, a candidate may not be well ranked; moreover, assent voting is very well appreciated in the literature by many authors and also generates huge opportunities. This justifies our choice in this work to combine geometric mean and assent voting to develop a method with good properties.
VL  - 10
IS  - 6
ER  -

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Author Information

Zoïnabo Savadogo
Sougoursi Jean Yves Zaré

Laboratory of Numerical Analysis of Computer Science and Biomathematics (LANIBIO), Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso
Wambie Zongo

Laboratory of Numerical Analysis of Computer Science and Biomathematics (LANIBIO), Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso
Somdouda Sawadogo

Institute of Sciences, Ouagadougou, Burkina Faso
Blaise Somé

Laboratory of Numerical Analysis of Computer Science and Biomathematics (LANIBIO), Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso

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APA Style

Zoïnabo Savadogo, Sougoursi Jean Yves Zaré, Wambie Zongo, Somdouda Sawadogo, Blaise Somé. (2021). New Innovative Method in the Field of Social Choice Theory. Pure and Applied Mathematics Journal, 10(6), 121-126. https://doi.org/10.11648/j.pamj.20211006.11

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ACS Style

Zoïnabo Savadogo; Sougoursi Jean Yves Zaré; Wambie Zongo; Somdouda Sawadogo; Blaise Somé. New Innovative Method in the Field of Social Choice Theory. Pure Appl. Math. J. 2021, 10(6), 121-126. doi: 10.11648/j.pamj.20211006.11

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AMA Style

Zoïnabo Savadogo, Sougoursi Jean Yves Zaré, Wambie Zongo, Somdouda Sawadogo, Blaise Somé. New Innovative Method in the Field of Social Choice Theory. Pure Appl Math J. 2021;10(6):121-126. doi: 10.11648/j.pamj.20211006.11

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@article{10.11648/j.pamj.20211006.11,
  author = {Zoïnabo Savadogo and Sougoursi Jean Yves Zaré and Wambie Zongo and Somdouda Sawadogo and Blaise Somé},
  title = {New Innovative Method in the Field of Social Choice Theory},
  journal = {Pure and Applied Mathematics Journal},
  volume = {10},
  number = {6},
  pages = {121-126},
  doi = {10.11648/j.pamj.20211006.11},
  url = {https://doi.org/10.11648/j.pamj.20211006.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20211006.11},
  abstract = {Social choice theory includes the study of voting methods. In the literature on social choice theory many methods exist, the main objective of all these methods is the determination of a good method. However, many of these methods give controversial results which often lead to disputes. It should also be noted that sometimes, regardless of the method used, there are people who are not ready to accept the results given by the ballot box. The ideal would be to find a method with good properties, because it seems that there are no completely satisfactory methods. Since the goal of a voting method is to reconcile several points of view into a general interest, one should focus on the properties. The geometric mean does not lead to a compensation of weak criteria by stronger ones as it is the case with the arithmetic mean. Indeed, by using the geometric mean, even if only one criterion is very weak and the others are very strong, a candidate may not be well ranked; moreover, assent voting is very well appreciated in the literature by many authors and also generates huge opportunities. This justifies our choice in this work to combine geometric mean and assent voting to develop a method with good properties.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - New Innovative Method in the Field of Social Choice Theory
AU  - Zoïnabo Savadogo
AU  - Sougoursi Jean Yves Zaré
AU  - Wambie Zongo
AU  - Somdouda Sawadogo
AU  - Blaise Somé
Y1  - 2021/11/27
PY  - 2021
N1  - https://doi.org/10.11648/j.pamj.20211006.11
DO  - 10.11648/j.pamj.20211006.11
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 121
EP  - 126
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20211006.11
AB  - Social choice theory includes the study of voting methods. In the literature on social choice theory many methods exist, the main objective of all these methods is the determination of a good method. However, many of these methods give controversial results which often lead to disputes. It should also be noted that sometimes, regardless of the method used, there are people who are not ready to accept the results given by the ballot box. The ideal would be to find a method with good properties, because it seems that there are no completely satisfactory methods. Since the goal of a voting method is to reconcile several points of view into a general interest, one should focus on the properties. The geometric mean does not lead to a compensation of weak criteria by stronger ones as it is the case with the arithmetic mean. Indeed, by using the geometric mean, even if only one criterion is very weak and the others are very strong, a candidate may not be well ranked; moreover, assent voting is very well appreciated in the literature by many authors and also generates huge opportunities. This justifies our choice in this work to combine geometric mean and assent voting to develop a method with good properties.
VL  - 10
IS  - 6
ER  -

Copy | Download