Implementation of the VMAVA Method in Order to Make Applications with a Large Number of Candidates and Voters:: Science Publishing Group

Implementation of the VMAVA Method in Order to Make Applications with a Large Number of Candidates and Voters

Koumbèbarè Kambiré, Zoïnabo Savadogo, Frédéric Nikiéma

Department of Mathematics, Laboratory of Numerical Analysis, Computer Science and Biomathematics, Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso

Pure and Applied Mathematics Journal, Volume 12, Issue 3, June 2023

Pages: 49-58

Received: Jun. 29, 2023

Accepted: Aug. 01, 2023

Published: Aug. 31, 2023

DOI: 10.11648/j.pamj.20231203.12

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Abstract

Nowadays, we see everywhere in the world and particularly in Africa, revolts following elections. It is therefore important to find a voting method that represents consensus. It should also be noted that despite the votes, there are candidates who do not agree to recognize the results after their defeat. Faced with this situation, the ideal would be to find a good method that can result in less contrast. This is how the VMAVA method was developed. We notice that it is a good method because it fulfills good properties. However in the VMAVA method, we notice that the numerical applications have been made on voting situations where there are four candidates and five voters, sometimes four candidates and four voters, at most five candidates and seven voters. In our work, we are therefore interested in the implementation of the VMAVA method to facilitate calculations in voting situations where there are for example ten, fifteen candidates and ten thousand, twenty thousand voters. To do this, we have built two main functions, one which is responsible for choosing the elected candidate (s) on the basis of the total number of approvals and the other which makes it possible to decide between possible ties using the arithmetic averages of the candidates. Despite some difficulties encountered in this task, we have achieved quite interesting and concordant results.

Keywords

Vote, Voter, Candidate, Approval, Arithmetic Mean, Implementation

To cite this article

Koumbèbarè Kambiré, Zoïnabo Savadogo, Frédéric Nikiéma. (2023). Implementation of the VMAVA Method in Order to Make Applications with a Large Number of Candidates and Voters. Pure and Applied Mathematics Journal, 12(3), 49-58. https://doi.org/10.11648/j.pamj.20231203.12

Copyright © 2023 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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