An Aggregation Rule Based on the Binomial Distribution

Abstract

Many decision-making situations require the evaluation of several voters or agents. In a situation where voters evaluate candidates, the question arises of how best to aggregate evaluations so as to compare the candidates. The aim of this work is to propose a method of aggregating the evaluations of the voters, which has outstanding properties and serve as a potential evaluative tool in many contexts. Ordered weighted averages is a family of rules appropriate for studying this problem. In this paper, I propose as a solution an ordered weighted average that satisfies compelling properties and whose weights are derived from the binomial distribution.