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 goodcompromise 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.
Highlights
Literature is well supplied with many voting methods
Through this article, to design a voting method based on approval voting and the arithmetic mean that leads to good compromise results
According to [9], there is an abundant literature on the aggregation of individual preferences into collective preference on the difficulties posed by this problem and on the strategic manipulation of social choice procedures as well
Summary
Literature is well supplied with many voting methods. In the group decision, several procedures have been proposed to determine, from individual preferences, a collective preference [7]. According to [9], there is an abundant literature on the aggregation of individual preferences into collective preference on the difficulties posed by this problem and on the strategic manipulation of social choice procedures as well. According to the same source, these authors reject classification voting systems and propose aggregation methods based on the evaluation principle. Approval voting is a method with good properties according to the literature. The winner is the candidate who has received the most approvals This type of ballot, though simple, verifies properties very interesting and shows in many points superior to the majority vote [10]. Approval voting can be defined as a procedure where each voter has the opportunity to express a cardinal preference in awarding a mark of one point to each candidate he or she supports and zero points to all others [2]. We are inspired by the approval voting and the arithmetic mean, to contribute to the literature a satisfactory method
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