Implementation of the VMAVA Method in Order to Make Applications with a Large Number of Candidates and Voters
Koumbèbarè Kambiré,
Zoïnabo Savadogo,
Frédéric Nikiéma
Issue:
Volume 12, Issue 3, June 2023
Pages:
49-58
Received:
29 June 2023
Accepted:
1 August 2023
Published:
31 August 2023
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.
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 b...
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from a Computational Viewpoint
, namely, by employing the Shirshov algorithmic method, it is shown that the defining relatio...
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, having GK dimension n2, having global homological dimension n2, and being a classical quadratic Koszul algebra, may be derived in a constructive-computational way. Moreover, applying the foregoing structural properties in turn to investigate several structural properties of modules over