Implementation of the New Metric Procedure of Multidecisions Makers Choice for Use in Large-scale Voting Cases

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Résumé

Abstract:
The problem of aggregating group preferences into a collective or consensual
preference has been tackled since the 18th century by Borda and Condorcet. Since
then, several authors have proposed aggregation methods based on social choice
theory and metric procedures. However, the use of these metric procedures in
decision-making processes today is very limited, and this is explained by the fact that
their algorithms recommend multiple complex computations if the number of decision
makers (voters) and the number of alternatives (candidates) is high. To facilitate and
popularize the use of metric procedures, it is therefore necessary to equip them with
tools or computer programs. It is in this context that we propose in this article a python
implementation of the New metric procedure of multidecisions makers choice. In this
way, we have been able to set up a program that perfectly integrates the NPMCD
algorithm. It is proving to be very efficient, as it allows us to obtain results in a very
short time.

Mots-clés

Social choice theory, Social choice function, Algorithm, Implementation