An Aggregation Rule Based on the Binomial Distribution

Josep Freixas ()
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Josep Freixas: Departament de Matemàtiques, Universitat Politècnica de Catalunya, 08243 Manresa, Spain

Mathematics, 2022, vol. 10, issue 23, 1-14

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.

Keywords: ordered weighted averages; collective-decision rules; aggregation; grading; binomial and normal distributions; ranking candidates (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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