Voting method based on approval voting and arithmetic mean

Abstract

Voting plays a vital role in any society. Indeed the votes involve decision making especially and the more in the decision of group. Thanks to the opinions expressed by a group of people, an opinion representing the preference of the group is determined. But most often some voting methods seem to distance the result from a vote of the general opinion. The study of voting methods is based on the theory of social choice. For several years, in the literature on the theory of social choice, many theorists have contributed trying to find a representative voting method.

It seems that there is no totally satisfactory way of voting.

Thus we have tried, through this article, to design a voting method based on approval voting and the arithmetic mean that leads to good

compromise results.

In contrast to the other methods, the new method takes into account the choice of each voter and allows to obtain a result which represents the choice of the majority of the voters.