Acta Scientific Computer Sciences

Review Article Volume 4 Issue 2

Model of Transforming Individual Preferences into Collective Preference Using the Quadratic Mean

Saïdou Ouedraogo1*, Frédéric Nikiema1, Zoïnabo Savadogo2, Somdouda Sawadogo3 and Blaise Some2

1Université de Pr Joseph KI-ZERBO, UFR-SEA/LANIBIO, Burkina Faso
2Université Ouaga I Pr Joseph KI-ZERBO, UFR-SEA/LANIBIO, Burkina Faso
3Institut Des Sciences (IDS), Burkina Faso

*Corresponding Author: Saïdou Ouedraogo, Université de Pr Joseph KI-ZERBO, UFR-SEA/LANIBIO, Burkina Faso.

Received: December 10, 2021; Published: January 19, 2022

Abstract

An election is to designate one candidate among many others: it is a social choice. The object of this social choice is the selection of options by an individual or a group of individuals. It is not without cost. Indeed, the organization of elections in developing countries is extremely expensive. Consequently, in the event of a tie between the candidates to decide between them, the decision makers are obliged to take over the elections for a second time. This, generates additional efforts to mobilize resources. To put an end to such a concern, the choice of an appropriate and adequate procedure would be suitable. this study of the se- lection procedure can be done in a relatively practical way (electoral procedures). This approach draws its historical source from the theory of social choice, including the analysis of voting procedures by Borda and Condorcet. The major problem of social choice is that of the passage from data of individual preference to that of social or collective preference.

Therefore we develop a social aggregation function based on the quadratic means. We do a digital application and get some interesting results.

Keywords: Quadratic Mean; Individual Preference; Social Preference; Aggregation Function

References

  1. Roy B. Méthodologie multicritère d’aide ‘a la décision, Econom- ica, Paris. Traduction anglaise : Multicriteria methodology for decision aiding, Kluwer, Dordrecht (1996).
  2. Borda JCh de. “Mémoire sur les élections au scrutin, Comptes Rendus de l’académie des Sciences”. Traduction anglaise par Alfred de Grazia “Mathematical derivation of an election system” 44 (1953): 42-51.
  3. Condorcet J A N and Caritat Marquis De. Essai sur l’application de l’analyse ‘à la probabilité des décisions rendues ‘a la pluralité des voix, Imprimerie Royale, Paris (1785).
  4. Denis Bouyssou et Patrice Perny. “Aide multicritère à la décision et théorie du choix social” 12-13.
  5. Thierry Champion. La théorie du choix social (une brève présenta- tion) Laboratoire IMATH (Institut de Mathématiques de Toulon et du Var), Université de Toulon.
  6. Sur quelques paradoxes en théorie du choix social et en décision multi- critère Sylvain Durand. Recherche Opérationnelle, Combina- toire et Optimisation (2000): 27-29.
  7. Downs Anthony. “Une theorie economique de la democratie”. New- York: Harper (1957).
  8. Antoine Rolland. “Procedures d’agregation ordinale de preferences avec points de reference pour l’aide à la decision”. Thèse, Université Pierre et Marie Curie - Paris VI, 25 September (2008).

Citation

Citation: Saïdou Ouedraogo., et al. “Model of Transforming Individual Preferences into Collective Preference Using the Quadratic Mean". Acta Scientific Computer Sciences 4.2 (2022): 44-48.

Copyright

Copyright: © 2022 Saïdou Ouedraogo., et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.




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